<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Archiving and Interchange DTD with MathML3 v1.3 20210610//EN"  "JATS-archivearticle1-3-mathml3.dtd"><article xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" article-type="research-article" dtd-version="1.3"><front><journal-meta><journal-id journal-id-type="nlm-ta">elife</journal-id><journal-id journal-id-type="publisher-id">eLife</journal-id><journal-title-group><journal-title>eLife</journal-title></journal-title-group><issn publication-format="electronic" pub-type="epub">2050-084X</issn><publisher><publisher-name>eLife Sciences Publications, Ltd</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">88991</article-id><article-id pub-id-type="doi">10.7554/eLife.88991</article-id><article-id pub-id-type="doi" specific-use="version">10.7554/eLife.88991.3</article-id><article-categories><subj-group subj-group-type="display-channel"><subject>Research Article</subject></subj-group><subj-group subj-group-type="heading"><subject>Biochemistry and Chemical Biology</subject></subj-group></article-categories><title-group><article-title>Molecular dissection of PI3Kβ synergistic activation by receptor tyrosine kinases, GβGγ, and Rho-family GTPases</article-title></title-group><contrib-group><contrib contrib-type="author" equal-contrib="yes" id="author-287142"><name><surname>Duewell</surname><given-names>Benjamin R</given-names></name><xref ref-type="aff" rid="aff1">1</xref><xref ref-type="fn" rid="equal-contrib1">†</xref><xref ref-type="other" rid="fund2"/><xref ref-type="fn" rid="con1"/><xref ref-type="fn" rid="conf1"/></contrib><contrib contrib-type="author" equal-contrib="yes" id="author-317458"><name><surname>Wilson</surname><given-names>Naomi E</given-names></name><xref ref-type="aff" rid="aff1">1</xref><xref ref-type="fn" rid="equal-contrib1">†</xref><xref ref-type="other" rid="fund2"/><xref ref-type="fn" rid="con2"/><xref ref-type="fn" rid="conf1"/></contrib><contrib contrib-type="author" id="author-317459"><name><surname>Bailey</surname><given-names>Gabriela M</given-names></name><xref ref-type="aff" rid="aff1">1</xref><xref ref-type="fn" rid="con3"/><xref ref-type="fn" rid="conf1"/></contrib><contrib contrib-type="author" id="author-317460"><name><surname>Peabody</surname><given-names>Sarah E</given-names></name><xref ref-type="aff" rid="aff1">1</xref><xref ref-type="fn" rid="con4"/><xref ref-type="fn" rid="conf1"/></contrib><contrib contrib-type="author" corresp="yes" id="author-229414"><name><surname>Hansen</surname><given-names>Scott D</given-names></name><contrib-id authenticated="true" contrib-id-type="orcid">https://orcid.org/0000-0001-7005-6200</contrib-id><email>shansen5@uoregon.edu</email><xref ref-type="aff" rid="aff1">1</xref><xref ref-type="other" rid="fund1"/><xref ref-type="fn" rid="con5"/><xref ref-type="fn" rid="conf1"/></contrib><aff id="aff1"><label>1</label><institution-wrap><institution-id institution-id-type="ror">https://ror.org/0293rh119</institution-id><institution>Department of Chemistry and Biochemistry, Institute of Molecular Biology, University of Oregon</institution></institution-wrap><addr-line><named-content content-type="city">Eugene</named-content></addr-line><country>United States</country></aff></contrib-group><contrib-group content-type="section"><contrib contrib-type="editor"><name><surname>Dötsch</surname><given-names>Volker</given-names></name><role>Reviewing Editor</role><aff><institution-wrap><institution-id institution-id-type="ror">https://ror.org/04cvxnb49</institution-id><institution>Goethe University</institution></institution-wrap><country>Germany</country></aff></contrib><contrib contrib-type="senior_editor"><name><surname>Dötsch</surname><given-names>Volker</given-names></name><role>Senior Editor</role><aff><institution-wrap><institution-id institution-id-type="ror">https://ror.org/04cvxnb49</institution-id><institution>Goethe University</institution></institution-wrap><country>Germany</country></aff></contrib></contrib-group><author-notes><fn fn-type="con" id="equal-contrib1"><label>†</label><p>These authors contributed equally to this work</p></fn></author-notes><pub-date publication-format="electronic" date-type="publication"><day>07</day><month>05</month><year>2024</year></pub-date><volume>12</volume><elocation-id>RP88991</elocation-id><history><date date-type="sent-for-review" iso-8601-date="2023-05-05"><day>05</day><month>05</month><year>2023</year></date></history><pub-history><event><event-desc>This manuscript was published as a preprint.</event-desc><date date-type="preprint" iso-8601-date="2023-05-01"><day>01</day><month>05</month><year>2023</year></date><self-uri content-type="preprint" xlink:href="https://doi.org/10.1101/2023.05.01.538969"/></event><event><event-desc>This manuscript was published as a reviewed preprint.</event-desc><date date-type="reviewed-preprint" iso-8601-date="2023-06-22"><day>22</day><month>06</month><year>2023</year></date><self-uri content-type="reviewed-preprint" xlink:href="https://doi.org/10.7554/eLife.88991.1"/></event><event><event-desc>The reviewed preprint was revised.</event-desc><date date-type="reviewed-preprint" iso-8601-date="2024-01-12"><day>12</day><month>01</month><year>2024</year></date><self-uri content-type="reviewed-preprint" xlink:href="https://doi.org/10.7554/eLife.88991.2"/></event></pub-history><permissions><copyright-statement>© 2023, Duewell, Wilson et al</copyright-statement><copyright-year>2023</copyright-year><copyright-holder>Duewell, Wilson et al</copyright-holder><ali:free_to_read/><license xlink:href="http://creativecommons.org/licenses/by/4.0/"><ali:license_ref>http://creativecommons.org/licenses/by/4.0/</ali:license_ref><license-p>This article is distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License</ext-link>, which permits unrestricted use and redistribution provided that the original author and source are credited.</license-p></license></permissions><self-uri content-type="pdf" xlink:href="elife-88991-v1.pdf"/><self-uri content-type="figures-pdf" xlink:href="elife-88991-figures-v1.pdf"/><abstract><p>Phosphoinositide 3-kinase (PI3K) beta (PI3Kβ) is functionally unique in the ability to integrate signals derived from receptor tyrosine kinases (RTKs), G-protein coupled receptors, and Rho-family GTPases. The mechanism by which PI3Kβ prioritizes interactions with various membrane-tethered signaling inputs, however, remains unclear. Previous experiments did not determine whether interactions with membrane-tethered proteins primarily control PI3Kβ localization versus directly modulate lipid kinase activity. To address this gap in our knowledge, we established an assay to directly visualize how three distinct protein interactions regulate PI3Kβ when presented to the kinase in a biologically relevant configuration on supported lipid bilayers. Using single molecule Total Internal Reflection Fluorescence (TIRF) Microscopy, we determined the mechanism controlling PI3Kβ membrane localization, prioritization of signaling inputs, and lipid kinase activation. We find that auto-inhibited PI3Kβ prioritizes interactions with RTK-derived tyrosine phosphorylated (pY) peptides before engaging either GβGγ or Rac1(GTP). Although pY peptides strongly localize PI3Kβ to membranes, stimulation of lipid kinase activity is modest. In the presence of either pY/GβGγ or pY/Rac1(GTP), PI3Kβ activity is dramatically enhanced beyond what can be explained by simply increasing membrane localization. Instead, PI3Kβ is synergistically activated by pY/GβGγ and pY/Rac1 (GTP) through a mechanism consistent with allosteric regulation.</p></abstract><kwd-group kwd-group-type="author-keywords"><kwd>phosphoinositide 3-kinase</kwd><kwd>phosphatidylinositol phosphate lipids</kwd><kwd>Rho GTPases</kwd><kwd>GPCRs</kwd><kwd>receptor tyrosine kinases</kwd><kwd>G-proteins</kwd></kwd-group><kwd-group kwd-group-type="research-organism"><title>Research organism</title><kwd>Human</kwd></kwd-group><funding-group><award-group id="fund1"><funding-source><institution-wrap><institution-id institution-id-type="FundRef">http://dx.doi.org/10.13039/100000001</institution-id><institution>National Science Foundation</institution></institution-wrap></funding-source><award-id>MCB-2048060</award-id><principal-award-recipient><name><surname>Hansen</surname><given-names>Scott D</given-names></name></principal-award-recipient></award-group><award-group id="fund2"><funding-source><institution-wrap><institution-id institution-id-type="FundRef">http://dx.doi.org/10.13039/100000057</institution-id><institution>National Institute of General Medical Sciences</institution></institution-wrap></funding-source><award-id>T32 GM007759</award-id><principal-award-recipient><name><surname>Duewell</surname><given-names>Benjamin R</given-names></name><name><surname>Wilson</surname><given-names>Naomi E</given-names></name></principal-award-recipient></award-group><funding-statement>The funders had no role in study design, data collection and interpretation, or the decision to submit the work for publication.</funding-statement></funding-group><custom-meta-group><custom-meta specific-use="meta-only"><meta-name>Author impact statement</meta-name><meta-value>Single molecule reconstitution of PI3Kβ synergistic activation reveals mechanism for rapid PI(3,4,5)P<sub>3</sub> production during immune cell signaling.</meta-value></custom-meta><custom-meta specific-use="meta-only"><meta-name>publishing-route</meta-name><meta-value>prc</meta-value></custom-meta></custom-meta-group></article-meta></front><body><sec id="s1" sec-type="intro"><title>Introduction</title><p>Critical for cellular organization, phosphatidylinositol phosphate (PIP) lipids regulate the localization and activity of numerous proteins across intracellular membranes in eukaryotic cells (<xref ref-type="bibr" rid="bib18">Di Paolo and De Camilli, 2006</xref>). The interconversion between various PIP lipid species through the phosphorylation and dephosphorylation of inositol head groups is regulated by lipid kinases and phosphatases (<xref ref-type="bibr" rid="bib4">Balla, 2013</xref>; <xref ref-type="bibr" rid="bib9">Burke, 2018</xref>). Serving a critical role in cell signaling, the class I family of PI3Ks catalyze the phosphorylation of phosphatidylinositol 4,5-bisphosphate [PI(4,5)P<sub>2</sub>] to generate PI(3,4,5)P<sub>3</sub>. Although a low-abundance lipid (&lt;0.05%) in the plasma membrane (<xref ref-type="bibr" rid="bib80">Wenk et al., 2003</xref>; <xref ref-type="bibr" rid="bib60">Nasuhoglu et al., 2002</xref>; <xref ref-type="bibr" rid="bib73">Stephens et al., 1993</xref>), PI(3,4,5)P<sub>3</sub> can increase 40-fold following receptor activation (<xref ref-type="bibr" rid="bib72">Stephens et al., 1991</xref>; <xref ref-type="bibr" rid="bib63">Parent et al., 1998</xref>; <xref ref-type="bibr" rid="bib40">Insall and Weiner, 2001</xref>). Although signal adaptation mechanisms typically restore PI(3,4,5)P<sub>3</sub> to the basal level following receptor activation (<xref ref-type="bibr" rid="bib27">Funamoto et al., 2002</xref>; <xref ref-type="bibr" rid="bib85">Yip et al., 2008</xref>; <xref ref-type="bibr" rid="bib2">Auger et al., 1989</xref>), misregulation of the PI3K signaling pathway can result in constitutively high levels of PI(3,4,5)P<sub>3</sub> that are detrimental to cell health. Since PI(3,4,5)P<sub>3</sub>lipids serve an instructive role in driving actin-based membrane protrusions (<xref ref-type="bibr" rid="bib39">Howard and Oresajo, 1985</xref>; <xref ref-type="bibr" rid="bib79">Weiner, 2002</xref>; <xref ref-type="bibr" rid="bib29">Graziano et al., 2017</xref>), sustained PI(3,4,5)P<sub>3</sub> signaling is known to drive cancer cell metastasis (<xref ref-type="bibr" rid="bib32">Hanker et al., 2013</xref>). Elevated PI(3,4,5)P<sub>3</sub> levels also stimulates the AKT signaling pathway and Tec family kinases, which can drive cellular proliferation and tumorigenesis (<xref ref-type="bibr" rid="bib58">Manning and Cantley, 2007</xref>; <xref ref-type="bibr" rid="bib26">Fruman et al., 2017</xref>). While much work has been dedicated in determining the factors that participate in the PI3K signaling pathway, how these molecules collaborate to rapidly synthesize PI(3,4,5)P<sub>3</sub> remains an important open question. To decipher how amplification of PI(3,4,5)P<sub>3</sub> arises from the relay of signals between cell surface receptors, lipids, and peripheral membrane proteins, we must understand how membrane localization and activity of PI3Ks is regulated by different signaling inputs. This will provide new insight concerning the molecular basis of asymmetric cell division, cell migration, and tissue organization, which are critical for understanding development and tumorigenesis.</p><p>In the absence of a stimulatory input, the class IA family of PI3Ks (PI3Kα, PI3Kβ, PI3Kδ) are thought to reside in the cytoplasm as auto-inhibited heterodimeric protein complexes composed of a catalytic (p110α, p110β, or p110δ) and regulatory subunit (p85α, p85β, p55γ, p50α, or p55α) (<xref ref-type="bibr" rid="bib9">Burke, 2018</xref>; <xref ref-type="bibr" rid="bib75">Vadas et al., 2011</xref>). The catalytic subunits of class IA PI3Ks contain an N-terminal adaptor binding domain (ABD), a Ras/Rho binding domain (RBD), a C2 domain (C2), and an adenosine triphosphate (ATP) binding pocket (<xref ref-type="bibr" rid="bib75">Vadas et al., 2011</xref>). The inter-SH2 (iSH2) domain of the regulatory subunit tightly associates with the ABD of the catalytic subunit (<xref ref-type="bibr" rid="bib86">Yu et al., 1998</xref>), providing structural integrity, while limiting dynamic conformational changes. The nSH2 and cSH2 domains of the regulatory subunit form additional inhibitory contacts that limit the conformational dynamics of the catalytic subunit (<xref ref-type="bibr" rid="bib88">Zhang et al., 2011</xref>; <xref ref-type="bibr" rid="bib57">Mandelker et al., 2009</xref>; <xref ref-type="bibr" rid="bib8">Burke et al., 2011</xref>; <xref ref-type="bibr" rid="bib11">Carpenter et al., 1993</xref>; <xref ref-type="bibr" rid="bib86">Yu et al., 1998</xref>). A clearer understanding of how various proteins control PI3K localization and activity would help facilitate the development of drugs that perturb specific protein-protein binding interfaces critical for membrane targeting and lipid kinase activity.</p><p>Among the class IA PI3Ks, PI3Kβ is uniquely capable of interacting with Rho-family GTPases (<xref ref-type="bibr" rid="bib25">Fritsch et al., 2013</xref>), Rab GTPases (<xref ref-type="bibr" rid="bib12">Christoforidis et al., 1999</xref>; <xref ref-type="bibr" rid="bib37">Heitz et al., 2019</xref>), heterotrimeric G-protein complexes (GβGγ) (<xref ref-type="bibr" rid="bib52">Kurosu et al., 1997</xref>; <xref ref-type="bibr" rid="bib56">Maier et al., 1999</xref>; <xref ref-type="bibr" rid="bib30">Guillermet-Guibert et al., 2008</xref>), and phosphorylated receptor tyrosine kinases (RTKs) (<xref ref-type="bibr" rid="bib88">Zhang et al., 2011</xref>; <xref ref-type="bibr" rid="bib11">Carpenter et al., 1993</xref>). Like other class IA PI3Ks, interactions with RTK derived phosphotyrosine peptides release nSH2 and cSH2-mediated inhibition of the catalytic subunit to stimulate PI3Kβ lipid kinase activity (<xref ref-type="bibr" rid="bib17">Dbouk et al., 2012</xref>; <xref ref-type="bibr" rid="bib88">Zhang et al., 2011</xref>). GβGγ and Rac1(GTP) in solution have also been shown to stimulate PI3Kβ lipid kinase activity (<xref ref-type="bibr" rid="bib17">Dbouk et al., 2012</xref>; <xref ref-type="bibr" rid="bib25">Fritsch et al., 2013</xref>; <xref ref-type="bibr" rid="bib56">Maier et al., 1999</xref>). Similarly, activation of Rho-family GTPases (<xref ref-type="bibr" rid="bib25">Fritsch et al., 2013</xref>) and G-protein coupled receptors (<xref ref-type="bibr" rid="bib38">Houslay et al., 2016</xref>) in cells, stimulates PI3Kβ lipid kinase activity. However, it’s unclear how individual interactions with GβGγ or Rac1(GTP) can bypass autoinhibition of full-length PI3Kβ (p110β-p85α/β). Studies in neutrophils and in vitro biochemistry suggest that PI3Kβ is synergistically activated through coincidence detection of RTKs and GβGγ (<xref ref-type="bibr" rid="bib38">Houslay et al., 2016</xref>; <xref ref-type="bibr" rid="bib17">Dbouk et al., 2012</xref>). Similarly, Rac1(GTP) and GβGγ have been reported to synergistically activate PI3Kβ in cells (<xref ref-type="bibr" rid="bib22">Erami et al., 2017</xref>). An enhanced membrane recruitment mechanism is the most prominent model used to explain synergistic activation of PI3Ks.</p><p>There is limited kinetic data examining how PI3Kβ is regulated by different membrane-tethered proteins. Previous biochemical studies of PI3Kβ have utilized solution-based assays to measure P(3,4,5)P<sub>3</sub> production. As a result, the mechanisms that determine how PI3Kβ prioritizes interactions with RTKs, small GTPases, or GβGγ remains unclear. In the case of synergistic PI3Kβ activation, it’s unclear which protein-protein interactions regulate membrane localization versus stimulate lipid kinase activity. No studies have simultaneously measured PI3Kβ membrane association and lipid kinase activity to decipher potential mechanisms of allosteric regulation. Previous studies concerning the synergistic activation of PI3Ks are challenging to interpret because RTK-derived peptides are always presented in solution alongside membrane-anchored signaling inputs. However, all the common signaling inputs for PI3K activation (i.e. RTKs, GβGγ, Rac1/Cdc42) are membrane-associated proteins. Activation of class 1A PI3Ks has never been reconstituted using solely membrane-tethered activators conjugated to membranes in a biologically relevant configuration. As a result, we currently lack a comprehensive description of PI3Kβ membrane recruitment and catalysis.</p><p>To decipher the mechanisms controlling PI3Kβ membrane binding and activation, we established a biochemical reconstitution using supported lipid bilayers (SLBs). We used single molecule Total Internal Reflection Fluorescence (TIRF) microscopy to quantify the relationship between PI3Kβ localization, lipid kinase activity, and the density of various membrane-tethered signaling inputs. This approach allowed us to measure the dwell time, binding frequency, and diffusion coefficients of single fluorescently labeled PI3Kβ in the presence of RTK-derived peptides, Rac1(GTP), and GβGγ. Simultaneous measurements of PI3Kβ membrane recruitment and lipid kinase activity allowed us to define the relationship between PI3Kβ localization and PI(3,4,5)P<sub>3</sub> production in the presence of different regulators. Overall, we found that membrane docking of PI3Kβ first requires interactions with RTK-derived tyrosine phosphorylated (pY) peptides, while PI3Kβ localization is insensitive to membranes that contain either Rac1(GTP) or GβGγ alone. Following engagement with a pY peptide, PI3Kβ can associate with either GβGγ or Rac1(GTP). In the case of synergistic PI3Kβ localization mediated by pY/GβGγ, it’s essential for the nSH2 domain to move away from the GβGγ binding site. Although both the PI3Kβ-pY-Rac1(GTP) and PI3Kβ-pY-GβGγ complexes display a ~2-fold increase in membrane localization, the corresponding increase in catalytic efficiency is much greater. Overall, our results indicate that synergistic activation of PI3Kβ depends on allosteric modulation of lipid kinase activity.</p></sec><sec id="s2" sec-type="results"><title>Results</title><sec id="s2-1"><title>PI3Kβ prioritizes interactions with pY peptides over Rac1(GTP) and GβGγ</title><p>Previous biochemical analysis of p110β-p85α, referred to as PI3Kβ, established that receptor tyrosine kinases (<xref ref-type="bibr" rid="bib88">Zhang et al., 2011</xref>), Rho-type GTPases (<xref ref-type="bibr" rid="bib25">Fritsch et al., 2013</xref>), and heterotrimeric G-protein GβGγ (<xref ref-type="bibr" rid="bib17">Dbouk et al., 2012</xref>) are capable of binding and stimulating lipid kinase activity. To decipher how PI3Kβ prioritizes interactions between these three membrane-tethered proteins we established a method to directly visualize PI3Kβ localization on supported lipid bilayers (SLBs) using Total Internal Reflection Fluorescence (TIRF) Microscopy (<xref ref-type="fig" rid="fig1">Figure 1A</xref>). For this assay, we covalently attached either a doubly tyrosine phosphorylated platelet-derived growth factor (PDGF) peptide (pY) peptide or recombinantly purified Rac1 to supported membranes using cysteine reactive maleimide lipids. We confirmed membrane conjugation of the pY peptide and Rac1 by visualizing the localization of fluorescently labeled nSH2-Cy5 or Cy3-p67/phox (Rac1(GTP) sensor), respectively (<xref ref-type="fig" rid="fig1">Figure 1B</xref>). Nucleotide exchange of membrane conjugated Rac1(GDP) was achieved by the addition of a guanine nucleotide exchange factor, P-Rex1 (phosphatidylinositol 3,4,5-trisphosphate-dependent Rac exchanger 1 protein) diluted in GTP containing buffer (<xref ref-type="fig" rid="fig1">Figure 1C</xref>). As previously described (<xref ref-type="bibr" rid="bib65">Rathinaswamy et al., 2021</xref>; <xref ref-type="bibr" rid="bib66">Rathinaswamy et al., 2023</xref>), AF488-SNAP dye-labeled farnesyl GβGγ was directly visualized following passive absorption into supported membranes (<xref ref-type="fig" rid="fig1">Figure 1D</xref> and <xref ref-type="fig" rid="fig1s1">Figure 1—figure supplement 1</xref>). We confirmed that membrane-bound GβGγ was functional by visualizing robust membrane recruitment of Dy647-PI3Kγ by TIRF-M (<xref ref-type="fig" rid="fig1">Figure 1E</xref>). Overall, this assay functions as a mimetic to the cellular plasma membrane and allowed us to examine how different membrane-tethered signaling inputs regulate PI3Kβ membrane localization in vitro.</p><fig-group><fig id="fig1" position="float"><label>Figure 1.</label><caption><title>Phosphoinositide 3-kinase beta (PI3Kβ) prioritizes membrane interactions with receptor tyrosine kinase (RTK)-derived phosphorylated (pY) peptides over Rac1(GTP) and G-protein complexes (GβGγ).</title><p>(<bold>A</bold>) Cartoon schematic showing membrane-tethered signaling inputs (i.e. pY, Rac1(GTP), and GβGγ) attached to a supported lipid bilayer and visualized by TIRF-M. Heterodimeric Dy647-PI3Kβ (p110β-p85α) in solution can dynamically associate with membrane-bound proteins. (<bold>B</bold>) Cartoon schematic showing method for visualizing membrane-tethered signaling inputs. (<bold>C</bold>) Kinetics of Rac1 nucleotide exchange measured in the presence of 20 nM Rac1(GTP) sensor (Cy3-p67/phox) and 50 nM P-Rex1 (DH-PH domain). (<bold>D</bold>) Visualization of membrane conjugated RTK derived pY peptide (~6000 /µm<sup>2</sup>), Rac1(GTP) (~4000 /µm<sup>2</sup>), and GβGγ (~4800 /µm<sup>2</sup>) by TIRF-M. Representative TIRF-M images showing the membrane localization of 20 nM nSH2-Cy3 in the absence and presence of membranes conjugated with a solution concentration of 10 µM pY peptide. Representative images showing the membrane localization of 20 nM Cy3-p67/phox Rac1(GTP) sensor before (GDP) and after (GTP) the addition of the guanine nucleotide exchange factor, P-Rex1. Equilibrium localization of 50 nM (low) or 200 nM (high) farnesyl GβGγ-SNAP-AF488. (<bold>E</bold>) Representative TIRF-M images showing the equilibrium membrane localization of 10 nM Dy647-PI3Kγ measured in the absence and presence of membranes equilibrated with 200 nM farnesyl GβGγ. (<bold>F</bold>) Representative TIRF-M images showing the equilibrium membrane localization of 5 pM and 10 nM Dy647-PI3Kβ measured in the presence of membranes containing either pY, Rac1(GTP), or GβGγ. The inset image (+GβGγ) shows low-frequency single molecule binding events detected in the presence of 10 nM Dy647-PI3Kβ. Note that the contrast of the inset image was scaled differently to show the rare Dy647-PI3Kβ membrane binding events. (<bold>G</bold>) Bulk membrane absorption kinetics for 10 nM Dy647-PI3Kβ measured on membranes containing eitherpY, Rac1(GTP), or GβGγ. Membrane composition: 96% DOPC, 2% PI(4,5)P<sub>2</sub>, 2% MCC-PE.</p><p><supplementary-material id="fig1sdata1"><label>Figure 1—source data 1.</label><caption><title>Related to <xref ref-type="fig" rid="fig1">Figure 1C</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig1-data1-v1.xlsx"/></supplementary-material></p><p><supplementary-material id="fig1sdata2"><label>Figure 1—source data 2.</label><caption><title>Related to .<xref ref-type="fig" rid="fig1">Figure 1G</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig1-data2-v1.xlsx"/></supplementary-material></p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-88991-fig1-v1.tif"/></fig><fig id="fig1s1" position="float" specific-use="child-fig"><label>Figure 1—figure supplement 1.</label><caption><title>Characterization of Alexa488-SNAP-GβGγ localization on supported lipid bilayers.</title><p>(<bold>A</bold>) Cartoon showing the structural organization of the farnesylatedGβGγ complex inserted into a supported lipid bilayer. The complex was labeled using Alexa488-SNAP surface dye, which we conjugated to the SNAP-tag fused to the N-terminus of the Gβ subunit. (<bold>B</bold>) Representative TIRF-M images showing the localization of Alexa488-SNAP-GβGγ on supported lipid bilayer. The ImageJ TrackMate single molecule tracking plugin was used to identify and track Alexa488-SNAP-GβGγ molecules.(<bold>C</bold>) Step size distribution showing single molecule displacements of n=1128 Alexa488-SNAP-GβGγ particles (n=23,083 steps, D=1.79 µm<sup>2</sup>/s).(<bold>D</bold>) Bulk membrane absorption kinetics of 200 nMfarnesyl GβGγ (10% Alexa 488-SNAP-GβGγ). (<bold>C–D</bold>) Membrane composition: 98% DOPC, 2% PI(4,5)P<sub>2</sub>.</p><p><supplementary-material id="fig1s1sdata1"><label>Figure 1—figure supplement 1—source data 1.</label><caption><title>Related to <xref ref-type="fig" rid="fig1s1">Figure 1—figure supplement 1B</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig1-figsupp1-data1-v1.xlsx"/></supplementary-material></p><p><supplementary-material id="fig1s1sdata2"><label>Figure 1—figure supplement 1—source data 2.</label><caption><title>Related to <xref ref-type="fig" rid="fig1s1">Figure 1—figure supplement 1C</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig1-figsupp1-data2-v1.xlsx"/></supplementary-material></p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-88991-fig1-figsupp1-v1.tif"/></fig><fig id="fig1s2" position="float" specific-use="child-fig"><label>Figure 1—figure supplement 2.</label><caption><title>Characterization of Dy647-PI3Kβ membrane association with individual signaling inputs.</title><p>(<bold>A–C</bold>) Kinetic traces showing the bulk membrane localization of 10 nM Dy647-PI3Kβ measured of supported lipid bilayers (SLBs) with either (<bold>A</bold>) phosphorylated (pY), (<bold>B</bold>) Rac1(GTP), or (<bold>C</bold>) G-protein complexes (GβGγ) tethered to the membrane. The following concentrations of protein were used for membrane coupling or passive membrane absorption: (<bold>A</bold>) 10 µM pY, (<bold>B</bold>) 30 µM Rac1(GTP), or (<bold>C</bold>) 200 nMGβGγ.(<bold>A–C</bold>) Membrane lipid composition: 91% DOPC, 5% DOPS, 2% PI(4,5)P<sub>2</sub>, 2% MCC-PE (blue line); 76% DOPC, 20% DOPS, 2% PI(4,5)P<sub>2</sub>, 2% MCC-PE (red line). Note that the coupling efficiency of pY is generally reduced by high concentrations of anionic lipids, presumably due to electrostatic repulsion. (<bold>D–F</bold>) Single molecule dwell time distributions measured in the presence of (<bold>D</bold>) 10 nM Dy647-PI3Kβ+lipids (τ<sub>1</sub>=71 ± 1 ms, τ<sub>2</sub>=319 ± 123 ms, <italic>α</italic>=0.89, n=1821 particles) (<bold>E</bold>) 10 nM Dy647-PI3Kβ+200 nM GβGγ (τ<sub>1</sub>=63 ± 1 ms, τ<sub>2</sub>=602 ± 39 ms, <italic>α</italic>=0.94, n=5992 particles), or (<bold>F</bold>) 10 nM Dy647-PI3Kβ GβGγ mutant (K532D/K533D)+200 nM GβGγ (τ<sub>1</sub>=60 ± 3 ms, τ<sub>2</sub>=494 ± 49 ms, <italic>α</italic>=0.87, n=2157 particles). Data plotted as log<sub>10</sub>(1–CDF) (cumulative distribution frequency). Dwell time statistics represent the average of n=2 technical replicates. Alpha(α) represents the fraction of particles characterized by the time constant (τ<sub>1</sub>). Only particles tracked for at least two frames (44 ms) were included in the distributions. Note that a 2000-fold higher concentration of Dy647-PI3Kβ is needed to observe single molecule binding events under these conditions compared to membrane containing membrane-anchored pY peptide. (<bold>D–F</bold>) Membrane composition: 78% DOPC, 20% DOPS, 2% PI(4,5)P<sub>2</sub>.</p><p><supplementary-material id="fig1s2sdata1"><label>Figure 1—figure supplement 2—source data 1.</label><caption><title>Related to <xref ref-type="fig" rid="fig1s2">Figure 1—figure supplement 2A</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig1-figsupp2-data1-v1.xlsx"/></supplementary-material></p><p><supplementary-material id="fig1s2sdata2"><label>Figure 1—figure supplement 2—source data 2.</label><caption><title>Related to .<xref ref-type="fig" rid="fig1s2">Figure 1—figure supplement 2B</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig1-figsupp2-data2-v1.xlsx"/></supplementary-material></p><p><supplementary-material id="fig1s2sdata3"><label>Figure 1—figure supplement 2—source data 3.</label><caption><title>Related to <xref ref-type="fig" rid="fig1s2">Figure 1—figure supplement 2C</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig1-figsupp2-data3-v1.xlsx"/></supplementary-material></p><p><supplementary-material id="fig1s2sdata4"><label>Figure 1—figure supplement 2—source data 4.</label><caption><title>Related to .<xref ref-type="fig" rid="fig1s2">Figure 1—figure supplement 2D</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig1-figsupp2-data4-v1.xlsx"/></supplementary-material></p><p><supplementary-material id="fig1s2sdata5"><label>Figure 1—figure supplement 2—source data 5.</label><caption><title>Related to .<xref ref-type="fig" rid="fig1s2">Figure 1—figure supplement 2E</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig1-figsupp2-data5-v1.xlsx"/></supplementary-material></p><p><supplementary-material id="fig1s2sdata6"><label>Figure 1—figure supplement 2—source data 6.</label><caption><title>Related to .<xref ref-type="fig" rid="fig1s2">Figure 1—figure supplement 2F</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig1-figsupp2-data6-v1.xlsx"/></supplementary-material></p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-88991-fig1-figsupp2-v1.tif"/></fig></fig-group><p>We visualized both single molecule binding events and bulk membrane localization of Dy647-PI3Kβ by TIRF microscopy to determine which inputs can autonomously recruit autoinhibited Dy647-PI3Kβ from solution to a supported membrane (<xref ref-type="fig" rid="fig1">Figure 1F</xref>). Comparing membrane localization of Dy647-PI3Kβ in the presence of pY, Rac1(GTP), or GβGγ revealed that only the tyrosine phosphorylated peptide (pY) could robustly localize Dy647-PI3Kβ to supported membranes (<xref ref-type="fig" rid="fig1">Figure 1F–G</xref>). This prioritization of interactions was consistently observed across a variety of membrane lipid compositions (<xref ref-type="fig" rid="fig1s2">Figure 1—figure supplement 2</xref>). Increasing the anionic lipid charge of supported membranes through the addition of 20% phosphatidylserine (PS), did not significantly change the frequency of Dy647-PI3Kβ membrane interactions in the presence of either Rac1(GTP) or GβGγ alone (<xref ref-type="fig" rid="fig1s2">Figure 1—figure supplement 2</xref>). Although we could detect some transient Dy647-PI3Kβ membrane binding events in the presence of GβGγ alone, the binding frequency was reduced 2000-fold compared to our measurements on pY membranes (<xref ref-type="fig" rid="fig1s2">Figure 1—figure supplement 2</xref>). Localization of wild-type Dy647-PI3Kβ phenocopied the GβGγ binding mutant, Dy647-PI3Kβ (K532D, K533D)<bold>,</bold> indicating that the low-frequency binding events we observed are mostly mediated by lipid interactions rather than direct binding to GβGγ (<xref ref-type="fig" rid="fig1s2">Figure 1—figure supplement 2</xref>). The addition of 20% PS lipids did, however, cause a subtle increase in the number of Dy647-PI3Kβ membrane binding observed when 20 µM pY peptide was added in solution (<xref ref-type="fig" rid="fig1s2">Figure 1—figure supplement 2</xref>). Our observations are consistent with previous reports involving the membrane binding dynamics of AF555-PI3Kα measured in the presence of solution pY peptide (<xref ref-type="bibr" rid="bib90">Ziemba et al., 2016</xref>; <xref ref-type="bibr" rid="bib7">Buckles et al., 2017</xref>). Given the large parameter space, we did not perform an exhaustive characterization of Dy647-PI3Kβ membrane binding across many membrane compositions. In this study, a simplified membrane composition was used to minimize non-specific membrane localization of fluorescently labeled PI3Kβ. This allowed us to more clearly define the strength of individual and combinations of protein-protein interactions that regulate PI3Kβ localization and kinase activity.</p></sec><sec id="s2-2"><title>PI3Kβ cooperatively engages a single membrane-tethered pY peptide</title><p>Previous biochemical analysis of PI3Kβ utilized pY peptides in solution to study the regulation of lipid kinase activity (<xref ref-type="bibr" rid="bib88">Zhang et al., 2011</xref>; <xref ref-type="bibr" rid="bib17">Dbouk et al., 2012</xref>). Using membrane-tethered pY peptide, we quantitatively mapped the relationship between the pY membrane surface density and the membrane binding behavior of Dy647-PI3Kβ (<xref ref-type="fig" rid="fig2">Figure 2A</xref>). To calculate the membrane surface density of conjugated pY, we incorporated a defined concentration of Alexa488-pY (<xref ref-type="fig" rid="fig2">Figure 2A–B</xref>). We measured the relationship between the total solution concentration of pY peptide used for the membrane conjugation step and the corresponding final membrane surface density (pY per µm<sup>2</sup>). Over a range of pY peptide solution concentrations (0–10 µM) used for maleimide coupling, we observed a linear increase in the membrane conjugation efficiency based on the incorporation of fluorescent Alexa488-pY (<xref ref-type="fig" rid="fig2">Figure 2C</xref><bold>, left hand y-axis</bold>). Bulk membrane localization of a nSH2-Cy3 sensor showed a corresponding linear increase in fluorescence as a function of pY peptide membrane density (<xref ref-type="fig" rid="fig2">Figure 2D</xref>). By quantifying the average number of Alexa488-pY molecules per unit area on supported membranes, we calculated the absolute density of pY per µm<sup>2</sup> (<xref ref-type="fig" rid="fig2">Figure 2C</xref><bold>, right hand y-axis</bold>).</p><fig id="fig2" position="float"><label>Figure 2.</label><caption><title>Density-dependent membrane binding behavior of Dy647-PI3Kβ measured in the presence of receptor tyrosine kinase (RTK)-derived phosphorylated (pY) peptides.</title><p>(<bold>A</bold>) Cartoon schematic showing conjugation of pY peptides (+/- Alexa488 label) using thiol-reactive maleimide lipids (MCC-PE). (<bold>B</bold>) Representative image showing the single molecule localization of Alexa488-pY. Particle detection (purple circles) was used to quantify the number of pY peptides per µm<sup>2</sup>. (<bold>C</bold>) Relationship between the total pY solution concentration (x-axis) used for covalent conjugation, the bulk membrane intensity of covalently attached Alexa488-pY (left y-axis), and the final surface density of pY peptides per µm<sup>2</sup> (right y-axis). (<bold>D</bold>) Relationship between the total pY solution conjugation concentration and bulk membrane intensity of measured in the presence of 50 nM nSH2-Cy3. (<bold>E–G</bold>) Membrane localization dynamics of Dy647-PI3Kβ measured on supported lipid bilayers (SLBs) containing a range of pY surface densities (250–15,000 pY/µm<sup>2</sup>, based on <xref ref-type="fig" rid="fig1">Figure 1C</xref>). (<bold>E</bold>) Bulk membrane localization of 10 nM Dy647-PI3Kβ as a function of pY density. (<bold>F</bold>) Single molecule dwell time distributions measured in the presence of 5 pM Dy647-PI3Kβ. Data plotted as log<sub>10</sub>(1–CDF) (cumulative distribution frequency). (<bold>G</bold>) Step size distributions showing Dy647-PI3Kβ single molecule displacements from &gt;500 particles (&gt;10,000 steps) per pY surface density. (<bold>H–J</bold>) Membrane localization dynamics of Dy647-PI3Kβ nSH2* (R358A) and cSH2* (R649A) mutants measured on SLBs containing ~15,000 pY/µm<sup>2</sup> (10 µM conjugation concentration). (<bold>H</bold>) Bulk membrane absorption kinetics of 10 nM Dy647-PI3Kβ (WT, nSH2*, and cSH2*). (<bold>I</bold>) Single molecule dwell time distributions measured in the presence of 5 pM Dy647-PI3Kβ (WT, nSH2*, and cSH2*). Data plotted as log<sub>10</sub>(1–CDF) (cumulative distribution frequency). (<bold>J</bold>) Step size distributions showing single molecule displacements of &gt;500 particles (&gt;10,000 steps) in the presence of 5 pM Dy647-PI3Kβ (WT, nSH2*, and cSH2*). Membrane composition: 96% DOPC, 2% PI(4,5)P<sub>2</sub>, 2% MCC-PE.</p><p><supplementary-material id="fig2sdata1"><label>Figure 2—source data 1.</label><caption><title>Related to .<xref ref-type="fig" rid="fig2">Figure 2C</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig2-data1-v1.xlsx"/></supplementary-material></p><p><supplementary-material id="fig2sdata2"><label>Figure 2—source data 2.</label><caption><title>Related to .<xref ref-type="fig" rid="fig2">Figure 2D</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig2-data2-v1.xlsx"/></supplementary-material></p><p><supplementary-material id="fig2sdata3"><label>Figure 2—source data 3.</label><caption><title>Related to .<xref ref-type="fig" rid="fig2">Figure 2E</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig2-data3-v1.xlsx"/></supplementary-material></p><p><supplementary-material id="fig2sdata4"><label>Figure 2—source data 4.</label><caption><title>Related to .<xref ref-type="fig" rid="fig2">Figure 2F</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig2-data4-v1.xlsx"/></supplementary-material></p><p><supplementary-material id="fig2sdata5"><label>Figure 2—source data 5.</label><caption><title>Related to .<xref ref-type="fig" rid="fig2">Figure 2G</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig2-data5-v1.xlsx"/></supplementary-material></p><p><supplementary-material id="fig2sdata6"><label>Figure 2—source data 6.</label><caption><title>Related to .<xref ref-type="fig" rid="fig2">Figure 2H</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig2-data6-v1.xlsx"/></supplementary-material></p><p><supplementary-material id="fig2sdata7"><label>Figure 2—source data 7.</label><caption><title>Related to .<xref ref-type="fig" rid="fig2">Figure 2I</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig2-data7-v1.xlsx"/></supplementary-material></p><p><supplementary-material id="fig2sdata8"><label>Figure 2—source data 8.</label><caption><title>Related to .<xref ref-type="fig" rid="fig2">Figure 2J</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig2-data8-v1.xlsx"/></supplementary-material></p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-88991-fig2-v1.tif"/></fig><p>To determine how the membrane binding behavior of PI3Kβ is modulated by the membrane surface density of pY, we measured the bulk membrane absorption kinetics of Dy647-PI3Kβ. When Dy647-PI3Kβ was flowed over membranes containing a surface density between 250 and 3000 pY/µm<sup>2</sup>, we observed rapid equilibration kinetics consistent with a simple biomolecular interaction (<xref ref-type="fig" rid="fig2">Figure 2E</xref>). Similar membrane binding kinetics have been reported for the Btk-PI(3,4,5)P<sub>3</sub> (<xref ref-type="bibr" rid="bib13">Chung et al., 2019</xref>) and PI3Kγ-GβGγ (<xref ref-type="bibr" rid="bib65">Rathinaswamy et al., 2021</xref>) complexes. When the membrane surface density was greater than 6500 pY/µm<sup>2</sup>, we observed slower equilibration kinetics consistent with a fraction of Dy647-PI3Kβ complexes exhibiting longer dwell times. Single particle tracking of Dy647-PI3Kβ on membranes containing varying densities of pY peptide revealed that the dwell time was relatively insensitive to the pY peptide density (<xref ref-type="fig" rid="fig2">Figure 2F</xref> and <xref ref-type="table" rid="table1">Table 1</xref>). However, we could be underestimating the actual dwell time of Dy647-PI3Kβ due to membrane hopping (<xref ref-type="bibr" rid="bib83">Yasui et al., 2014</xref>). In the presence of a high pY surface density, Dy647-PI3Kβ could dissociate from pY and then immediately rebind to another pY instead of diffusing away into the solution phase. Quantification of single particle displacement (or step size) of pY-tethered Dy647-PI3Kβ complexes revealed nearly identical diffusivity across a range of pY membrane densities (<xref ref-type="fig" rid="fig2">Figure 2G</xref> and <xref ref-type="table" rid="table1">Table 1</xref>). Together, these results suggest that Dy647-PI3Kβ most frequently engages a single dually phosphorylated peptide over a broad range of pY densities in our bilayer assay.</p><table-wrap id="table1" position="float"><label>Table 1.</label><caption><title>Diffusion coefficients of Dy647-PI3Kβ (WT and SH2 domain mutants) bound to membrane-tethered tyrosine phosphorylated peptides.</title></caption><table frame="hsides" rules="groups"><thead><tr><th align="left" valign="bottom">protein visualized</th><th align="left" valign="bottom">pY/µm<sup>2</sup></th><th align="left" valign="bottom"><italic>τ<sub>1</sub>±SD (s</italic>)</th><th align="left" valign="bottom"><italic>τ <sub>2</sub>±SD (s</italic>)</th><th align="left" valign="bottom"><italic>α(τ)±SD</italic></th><th align="left" valign="bottom">AVEDT (s)</th><th align="left" valign="bottom"><italic>D<sub>1</sub> ±SD (µm<sup>2</sup>/sec</italic>)</th><th align="left" valign="bottom"><italic>D<sub>2</sub> ±SD (µm<sup>2</sup>/s</italic>)</th><th align="left" valign="bottom"><italic>α(<sub>D)</sub>±SD</italic></th><th align="left" valign="bottom">MEDIAN step (µm)</th></tr></thead><tbody><tr><td align="left" valign="bottom">PI3Kβ (WT)</td><td align="char" char="." valign="bottom">250</td><td align="char" char="plusmn" valign="bottom">0.58±0.28</td><td align="char" char="plusmn" valign="bottom">1.78±0.58</td><td align="char" char="plusmn" valign="bottom">0.60±0.37</td><td align="char" char="plusmn" valign="bottom">1.00±0.09</td><td align="char" char="plusmn" valign="bottom">0.39±0.07</td><td align="char" char="plusmn" valign="bottom">1.45±0.09</td><td align="char" char="plusmn" valign="bottom">0.29±0.08</td><td align="char" char="plusmn" valign="bottom">0.37±0.02</td></tr><tr><td align="left" valign="bottom">PI3Kβ (WT)</td><td align="char" char="." valign="bottom">573</td><td align="char" char="plusmn" valign="bottom">0.39±0.06</td><td align="char" char="plusmn" valign="bottom">1.37±0.14</td><td align="char" char="plusmn" valign="bottom">0.27±0.02</td><td align="char" char="plusmn" valign="bottom">1.12±0.09</td><td align="char" char="plusmn" valign="bottom">0.28±0.06</td><td align="char" char="plusmn" valign="bottom">1.15±0.14</td><td align="char" char="plusmn" valign="bottom">0.22±0.04</td><td align="char" char="plusmn" valign="bottom">0.35±0.01</td></tr><tr><td align="left" valign="bottom">PI3Kβ (WT)</td><td align="char" char="." valign="bottom">1226</td><td align="char" char="plusmn" valign="bottom">0.36±0.13</td><td align="char" char="plusmn" valign="bottom">1.29±0.06</td><td align="char" char="plusmn" valign="bottom">0.30±0.09</td><td align="char" char="plusmn" valign="bottom">1.05±0.11</td><td align="char" char="plusmn" valign="bottom">0.20±0.02</td><td align="char" char="plusmn" valign="bottom">1.18±0.09</td><td align="char" char="plusmn" valign="bottom">0.16±0.02</td><td align="char" char="plusmn" valign="bottom">0.36±0.02</td></tr><tr><td align="left" valign="bottom">PI3Kβ (WT)</td><td align="char" char="." valign="bottom">2935</td><td align="char" char="plusmn" valign="bottom">0.44±0.11</td><td align="char" char="plusmn" valign="bottom">1.53±0.38</td><td align="char" char="plusmn" valign="bottom">0.47±0.25</td><td align="char" char="plusmn" valign="bottom">1.00±0.07</td><td align="char" char="plusmn" valign="bottom">0.28±0.09</td><td align="char" char="plusmn" valign="bottom">1.09±0.12</td><td align="char" char="plusmn" valign="bottom">0.26±0.09</td><td align="char" char="plusmn" valign="bottom">0.33±0.01</td></tr><tr><td align="left" valign="bottom">PI3Kβ (WT)</td><td align="char" char="." valign="bottom">6661</td><td align="char" char="plusmn" valign="bottom">0.46±0.08</td><td align="char" char="plusmn" valign="bottom">1.28±0.16</td><td align="char" char="plusmn" valign="bottom">0.61±0.13</td><td align="char" char="plusmn" valign="bottom">0.82±0.11</td><td align="char" char="plusmn" valign="bottom">0.35±0.17</td><td align="char" char="plusmn" valign="bottom">1.28±0.34</td><td align="char" char="plusmn" valign="bottom">0.35±0.18</td><td align="char" char="plusmn" valign="bottom">0.34±0.01</td></tr><tr><td align="left" valign="bottom">PI3Kβ (WT)</td><td align="char" char="." valign="bottom">14944</td><td align="char" char="plusmn" valign="bottom">0.55±0.11</td><td align="char" char="plusmn" valign="bottom">1.44±0.56</td><td align="char" char="plusmn" valign="bottom">0.54±0.22</td><td align="char" char="plusmn" valign="bottom">0.91±0.09</td><td align="char" char="plusmn" valign="bottom">0.45±0.15</td><td align="char" char="plusmn" valign="bottom">1.40±0.54</td><td align="char" char="plusmn" valign="bottom">0.48±0.06</td><td align="char" char="plusmn" valign="bottom">0.33±0.05</td></tr><tr><td align="left" valign="bottom"/><td align="left" valign="bottom"/><td align="left" valign="bottom"/><td align="left" valign="bottom"/><td align="left" valign="bottom"/><td align="left" valign="bottom"/><td align="left" valign="bottom"/><td align="left" valign="bottom"/><td align="left" valign="bottom"/><td align="left" valign="bottom"/></tr><tr><td align="left" valign="bottom">PI3Kβ (WT)</td><td align="char" char="." valign="bottom">14944</td><td align="char" char="plusmn" valign="bottom">0.49±0.17</td><td align="char" char="plusmn" valign="bottom">1.38±0.19</td><td align="char" char="plusmn" valign="bottom">0.35±0.17</td><td align="char" char="plusmn" valign="bottom">1.10±0.04</td><td align="char" char="plusmn" valign="bottom">0.32±0.04</td><td align="char" char="plusmn" valign="bottom">0.99±0.12</td><td align="char" char="plusmn" valign="bottom">0.40±0.11</td><td align="char" char="plusmn" valign="bottom">0.30±0.02</td></tr><tr><td align="left" valign="bottom">PI3Kβ (nSH2*)</td><td align="char" char="." valign="bottom">14944</td><td align="char" char="plusmn" valign="bottom">0.23±0.02</td><td align="char" char="plusmn" valign="bottom">1.48±0.23</td><td align="char" char="plusmn" valign="bottom">0.86±0.03</td><td align="char" char="plusmn" valign="bottom">0.45±0.06</td><td align="char" char="plusmn" valign="bottom">0.38±0.09</td><td align="char" char="plusmn" valign="bottom">1.45±0.25</td><td align="char" char="plusmn" valign="bottom">0.41±0.18</td><td align="char" char="plusmn" valign="bottom">0.34±0.01</td></tr><tr><td align="left" valign="bottom">PI3Kβ (cSH2*)</td><td align="char" char="." valign="bottom">14944</td><td align="char" char="plusmn" valign="bottom">0.38±0.08</td><td align="char" char="plusmn" valign="bottom">1.54±0.55</td><td align="char" char="plusmn" valign="bottom">0.76±0.1</td><td align="char" char="plusmn" valign="bottom">0.65±0.08</td><td align="char" char="plusmn" valign="bottom">0.34±0.13</td><td align="char" char="plusmn" valign="bottom">1.12±0.29</td><td align="char" char="plusmn" valign="bottom">0.43±0.15</td><td align="char" char="plusmn" valign="bottom">0.30±0.04</td></tr></tbody></table><table-wrap-foot><fn><p>SD = standard deviation from 3-5 technical replicates. n = 331 – 1909 total particles for each technical replicate. steps = 4277 – 39378 total particle displacements measured for each technical replicate. Alpha (α<bold><italic><sub>t</sub></italic></bold>) equals the fraction of molecules with the characteristic dwell time, τ<sub>1</sub> (DT = dwell time). The fraction of molecules with the characteristic dwell time, τ<sub>2</sub>, equals 1-α<bold><italic><sub>t</sub></italic></bold>. Alpha (α<bold><italic><sub>D</sub></italic></bold>) equals the fraction of molecules with the characteristic diffusion coefficient, <italic>D<sub>1</sub></italic>. The fraction of molecules with diffusion coefficient, <italic>D<sub>2</sub></italic>, equals 1-α<bold><italic><sub>D</sub></italic></bold>. Membrane composition: 96% DOPC, 2% PI(4,5)P<sub>2</sub>, 2% MCC-PE.</p></fn></table-wrap-foot></table-wrap><p>The regulatory subunit of PI3Kβ (p85α) contains two SH2 domains that form inhibitory contacts with the catalytic domain (p110β) (<xref ref-type="bibr" rid="bib88">Zhang et al., 2011</xref>). The SH2 domains of class 1A PI3Ks have a conserved peptide motif, FLVR, that mediates the interaction with tyrosine phosphorylated peptides (<xref ref-type="bibr" rid="bib5">Bradshaw et al., 1999</xref>; <xref ref-type="bibr" rid="bib77">Waksman et al., 1992</xref>; <xref ref-type="bibr" rid="bib64">Rameh et al., 1995</xref>). Mutating the arginine to alanine (FLVA mutant) prevents the interaction with pY peptides for both PI3Kα and PI3Kβ (<xref ref-type="bibr" rid="bib86">Yu et al., 1998</xref>; <xref ref-type="bibr" rid="bib20">Dornan et al., 2020</xref>; <xref ref-type="bibr" rid="bib61">Nolte et al., 1996</xref>; <xref ref-type="bibr" rid="bib88">Zhang et al., 2011</xref>; <xref ref-type="bibr" rid="bib6">Breeze et al., 1996</xref>). To determine how the membrane binding behavior of PI3Kβ is modulated by each SH2 domain, we individually mutated the FLVR amino acid sequence to FLVA. Compared to wild-type Dy647-PI3Kβ, the nSH2(R358A) and cSH2(R649A) mutants showed a 60% and 75% reduction in membrane localization at equilibrium, respectively (<xref ref-type="fig" rid="fig2">Figure 2H</xref>). Single molecule dwell time analysis also showed a significant reduction in membrane affinity for Dy647-PI3Kβ nSH2(R358A) and cSH2(R649A) compared to wild-type PI3Kβ (<xref ref-type="fig" rid="fig2">Figure 2I</xref> and <xref ref-type="table" rid="table1">Table 1</xref>). Single molecule diffusion (or mobility) of membrane-bound nSH2(R358A) and cSH2(R649A) mutants, however, were nearly identical to wild-type Dy647-PI3Kβ (<xref ref-type="fig" rid="fig2">Figure 2J</xref> and <xref ref-type="table" rid="table1">Table 1</xref>). Because the nSH2 and cSH2 mutants can only interact with a single phosphorylated tyrosine residue on the doubly phosphorylated pY peptide, this further supports a model in which the p85α regulatory subunit of PI3Kβ cooperatively engages one doubly phosphorylated pY peptide under our experimental conditions.</p></sec><sec id="s2-3"><title>GβGγ-dependent enhancement in PI3Kβ localization requires the release of the nSH2</title><p>Having established that PI3Kβ engagement with a membrane-tethered pY peptide is the critical first step for robust membrane localization, we examined the secondary role that GβGγ serves in controlling membrane localization of PI3Kβ bound to pY. To measure synergistic membrane localization mediated by the combination of pY and GβGγ, we covalently linked pY peptides to the supported membrane at a surface density of ~5000 pY/µm<sup>2</sup> and then allowed farnesyl GβGγ to equilibrate into the membrane to density of ~4700 GβGγ/µm<sup>2</sup>. We quantified the membrane surface density of GβGγ at equilibrium using a combination of AF488-SNAP-GβGγ and dilute AF555-SNAP-GβGγ (0.0025%), to visualize the bulk and single molecule densities, respectively (<xref ref-type="fig" rid="fig3">Figure 3A</xref>). Comparing the bulk membrane absorption of Dy647-PI3Kβ in the presence of pY alone, we observed a two-fold increase in membrane localization due to synergistic association with pY and GβGγ (<xref ref-type="fig" rid="fig3">Figure 3B–C</xref>). Single molecule imaging experiments also showed a 1.9-fold increase in the membrane dwell time of Dy647-PI3Kβ in the presence of both pY and GβGγ (<xref ref-type="fig" rid="fig3">Figure 3D</xref>). Consistent with Dy647-PI3Kβ forming a complex with pY and GβGγ, we observed a 22% reduction in the average single-particle displacement and a decrease in the diffusion coefficient due to ternary complex formation (<xref ref-type="fig" rid="fig3">Figure 3E</xref>).</p><fig-group><fig id="fig3" position="float"><label>Figure 3.</label><caption><title>Mechanism controlling synergistic Dy647-PI3Kβ membrane binding by phosphorylated (pY) and G-protein complexes (GβGγ).</title><p>(<bold>A</bold>) Kinetic trace showing the membrane absorption of 200 nM AF488-SNAP-GβGγ containing 0.0025% AF555-SNAP-GβGγ measured by TIRF-M. Single molecule densities of AF555-SNAP-GβGγ were calculated for each frame in a field of view of 3000 µm<sup>2</sup>. (<bold>B</bold>) Representative TIRF-M images showing the equilibrium membrane localization of 5 pM and 10 nM Dy647-PI3Kβ on membranes containing either pY, GβGγ, pY/GβGγ, or pY(solution)/GβGγ. The inset image (+GβGγ and +pY/GβGγ) shows low-frequency single molecule binding events detected in the presence of 10 nM Dy647-PI3Kβ. Supported membranes were conjugated with 10 µM pY peptide (final surface density of ~15,000 pY/µm<sup>2</sup>) and equilibrated with 200 nM farnesyl-GβGγ before adding Dy647-PI3Kβ. pY (solution)=10 µM. (<bold>C</bold>) Bulk membrane recruitment dynamics of 10 nM Dy647-PI3Kβ measured in the presence of either pY alone, pY/GβGγ, or pY (solution)/GβGγ. pY(solution)=10 µM. (<bold>D</bold>) Single molecule dwell time distributions measured in the presence of 5 pM Dy647-PI3Kβ on supported membranes containing pY alone (τ<sub>1</sub>=0.55 ± 0.11 s, τ<sub>2</sub>=1.44 ± 0.56 s, <italic>α</italic>=0.54, n=4698 particles, n=5 technical replicates) or pY/GβGγ (τ<sub>1</sub>=0.61 ± 0.13 s, τ<sub>2</sub>=3.09 ± 0.27 s, <italic>α</italic>=0.58, n=3421 particles, n=4 technical replicates). Alpha(α) represents the fraction of particles characterized by the time constant (τ<sub>1</sub>). (<bold>E</bold>) Step size distributions showing single molecule displacements measured in the presence of either pY alone (D1=0.34 ± 0.04 µm<sup>2</sup>/s, D2=1.02 ± 0.07 µm<sup>2</sup>/s, <italic>α</italic>=0.45) or pY/GβGγ (D1=0.23 ± 0.03 µm<sup>2</sup>/s, D2=0.88 ± 0.08 µm<sup>2</sup>/s,<italic>α</italic>=0.6); n=3-4 technical replicates from &gt;3000 tracked particles with 10,000-30,000 total displacements measured. Alpha(α) represents the fraction of particles characterized by the diffusion coefficient (D1). (<bold>F</bold>) Combined model of the putative nSH2 and GβGγ binding sites on p110β. The p110β-GβGγ binding site is based on an Alphafold multimer model supported by previous HDX-MS and mutagenesis experiments. The orientation of the nSH2 is based on previous X-ray crystallographic data on PI3Kα (p110α-p85α, niSH2, PDB:3HHM) aligned to the structure of PI3Kβ (p110β-p85α, icSH2, PDB:2Y3A). (<bold>G</bold>) Bulk membrane recruitment dynamics of 10 nM Dy647-PI3Kβ, WT and nSH2(R358A), measured on membranes containing either pY or pY/GβGγ. (<bold>H</bold>) Bulk membrane recruitment dynamics of 10 nM Dy647-PI3Kβ, WT and GβGγ binding mutant, measured on membranes containing either pY or pY/GβGγ. (<bold>A–H</bold>) Membrane composition: 96% DOPC, 2% PI(4,5)P<sub>2</sub>, 2% MCC-PE.</p><p><supplementary-material id="fig3sdata1"><label>Figure 3—source data 1.</label><caption><title>Related to <xref ref-type="fig" rid="fig3">Figure 3A</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig3-data1-v1.xlsx"/></supplementary-material></p><p><supplementary-material id="fig3sdata2"><label>Figure 3—source data 2.</label><caption><title>Related to <xref ref-type="fig" rid="fig3">Figure 3C</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig3-data2-v1.xlsx"/></supplementary-material></p><p><supplementary-material id="fig3sdata3"><label>Figure 3—source data 3.</label><caption><title>Related to <xref ref-type="fig" rid="fig3">Figure 3D</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig3-data3-v1.xlsx"/></supplementary-material></p><p><supplementary-material id="fig3sdata4"><label>Figure 3—source data 4.</label><caption><title>Related to <xref ref-type="fig" rid="fig3">Figure 3E</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig3-data4-v1.xlsx"/></supplementary-material></p><p><supplementary-material id="fig3sdata5"><label>Figure 3—source data 5.</label><caption><title>Related to <xref ref-type="fig" rid="fig3">Figure 3G</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig3-data5-v1.xlsx"/></supplementary-material></p><p><supplementary-material id="fig3sdata6"><label>Figure 3—source data 6.</label><caption><title>Related to <xref ref-type="fig" rid="fig3">Figure 3H</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig3-data6-v1.xlsx"/></supplementary-material></p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-88991-fig3-v1.tif"/></fig><fig id="fig3s1" position="float" specific-use="child-fig"><label>Figure 3—figure supplement 1.</label><caption><title>Solution phosphorylated (pY) peptide slightly enhances Dy647-PI3Kβ binding to G-protein complexes (GβGγ) membranes.</title><p>(<bold>A–B</bold>) Single molecule dwell time distributions measured in the presence of 10 nM Dy647-PI3Kβ on supported membranes containing (<bold>A</bold>) GβGγ alone (τ<sub>1</sub>=40 ms, τ<sub>2</sub>=169 ms, <italic>α</italic>=0.65, n=3226 particles) or (<bold>B</bold>) GβGγ+10 µM pY in solution (τ<sub>1</sub>=41 ms, τ<sub>2</sub>=193 ms, <italic>α</italic>=0.64, n=9639 particles). Data plotted as log<sub>10</sub>(1–CDF) (cumulative distribution frequency). Alpha(α) represents the fraction of particles characterized by the time constant (τ<sub>1</sub>). Note that a 2000-fold higher concentration of Dy647-PI3Kβ is needed to observe single molecule binding events under these conditions compared to membrane containing membrane-anchored pY peptide.Membrane composition: 96% DOPC, 2% PI(4,5)P<sub>2</sub>, 2% MCC-PE. For these experiments, the MCC-PE lipids added for pY peptide conjugation was quenched with 5 mM beta-mercaptoethanol (BME). (<bold>C</bold>) Representative TIRF-M images showing the localization of 10 nM Dy647-PI3Kβ on supported lipid bilayers in the presence of either 20 µM pY (solution), 200 µM GβGγ (4800 molecules/µm<sup>2</sup>), or pY(solution)/GβGγ. (<bold>D</bold>) Kinetic traces showing the bulk membrane localization of 10 nM Dy647-PI3Kβ measured of supported lipid bilayers (SLBs) with either 20 µM pY (solution), 200 µM GβGγ (4800 molecules/µm<sup>2</sup>), or pY(solution)/GβGγ. (<bold>C–D</bold>) Membrane composition: 78% DOPC, 20% DOPS, 2% PI(4,5)P<sub>2</sub>.</p><p><supplementary-material id="fig3s1sdata1"><label>Figure 3—figure supplement 1—source data 1.</label><caption><title>Related to Fig.<xref ref-type="fig" rid="fig3s1">Figure 3—figure supplement 1A</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig3-figsupp1-data1-v1.xlsx"/></supplementary-material></p><p><supplementary-material id="fig3s1sdata2"><label>Figure 3—figure supplement 1—source data 2.</label><caption><title>Related to <xref ref-type="fig" rid="fig3s1">Figure 3—figure supplement 1B</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig3-figsupp1-data2-v1.xlsx"/></supplementary-material></p><p><supplementary-material id="fig3s1sdata3"><label>Figure 3—figure supplement 1—source data 3.</label><caption><title>Related to <xref ref-type="fig" rid="fig3s1">Figure 3—figure supplement 1D</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig3-figsupp1-data3-v1.xlsx"/></supplementary-material></p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-88991-fig3-figsupp1-v1.tif"/></fig><fig id="fig3s2" position="float" specific-use="child-fig"><label>Figure 3—figure supplement 2.</label><caption><title>Structural model for G-protein complexes (GβGγ) binding to the Phosphoinositide 3-kinase beta (PI3Kβ) catalytic subunit (p110β).</title><p>(<bold>A</bold>) Predicted aligned error (PAE) for the top five ranked Alphafold2 Multimer structural prediction for full-length p110β binding to GβGγ. (<bold>B</bold>) Predicted Local Distance Difference Test (IDDT) for the top five ranked Alphafold2 Multimer searches. (<bold>C</bold>) Alphafold2 Multimer structural modelfor GβGγ binding to p110β. The final model shown was generated in UCSF Chimera. All five models were consistent with experimental data from previous mutagenesis and HDX-MS data.</p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-88991-fig3-figsupp2-v1.tif"/></fig></fig-group><p>Parallel to our experiments using membrane-conjugated pY, we examined whether solution pY could promote Dy647-PI3Kβ localization to GβGγ-containing membranes. Based on the bulk membrane recruitment, solution pY did not strongly enhance membrane binding of Dy647-PI3Kβ on GβGγ-containing membranes in the absence of phosphatidylserine (PS) lipids (<xref ref-type="fig" rid="fig3">Figure 3B</xref>). Single molecule dwell time analysis revealed few transient Dy647-PI3Kβ membrane interactions (inset <xref ref-type="fig" rid="fig3">Figure 3A</xref>) with a mean dwell time of 116 ms in the presence of GβGγ alone (<xref ref-type="fig" rid="fig3s1">Figure 3—figure supplement 1A</xref>). The presence of 10 µM solution pY modestly increased the mean dwell time of Dy647-PI3Kβ to 136 ms on GβGγ containing membranes (<xref ref-type="fig" rid="fig3s1">Figure 3—figure supplement 1B</xref>). When we measured the interaction between Dy647-PI3Kβ and GβGγ on a membrane containing 20% PS, however, we observed a significant enhancement in Dy647-PI3Kβ localization when solution pY was added (<xref ref-type="fig" rid="fig3s1">Figure 3—figure supplement 1C–1D</xref>). This confirms that SH2 domain-dependent inhibition of GβGγ binding can be relieved by solution pY, as previously reported (<xref ref-type="bibr" rid="bib17">Dbouk et al., 2012</xref>). However, a high density of anionic lipids (i.e. PS) was required to facilitate the interaction between pY and GβGγ. This suggests that the affinity between PI3Kβ and GβGγ is relatively weak, which is consistent with previous structural biochemistry studies (<xref ref-type="bibr" rid="bib17">Dbouk et al., 2012</xref>).</p><p>For PI3Kβ to engage GβGγ, it is hypothesized that the nSH2 domain must move out of the way from sterically occluding the GβGγ binding site. This model is supported by previous hydrogen-deuterium exchange mass spectrometry (HDX-MS) experiments that could only detect interactions between GβGγ and PI3Kβ (p110β) when the nSH2 domain was either deleted or disengaged from the catalytic domain by a soluble RTK-derived pY peptide (<xref ref-type="bibr" rid="bib17">Dbouk et al., 2012</xref>). We examined the putative interface of GβGγ bound to the p110β catalytic domain using AlphaFold multimer (<xref ref-type="bibr" rid="bib45">Jumper et al., 2021</xref>; <xref ref-type="bibr" rid="bib23">Evans et al., 2022</xref>; <xref ref-type="bibr" rid="bib76">Varadi et al., 2022</xref>) which defined hα1 in the helical domain as the binding site. This result was consistent with previous mutagenesis and HDX-MS analysis of GβGγ binding to p110β (<xref ref-type="bibr" rid="bib17">Dbouk et al., 2012</xref>). Comparing our model to previous X-ray crystallographic data of SH2 binding to either p110α and p110β (<xref ref-type="bibr" rid="bib88">Zhang et al., 2011</xref>; <xref ref-type="bibr" rid="bib57">Mandelker et al., 2009</xref>) suggested that the nSH2 domain sterically obstructs the GβGγ binding interface (<xref ref-type="fig" rid="fig3">Figure 3F</xref> and <xref ref-type="fig" rid="fig3s2">Figure 3—figure supplement 2</xref>), with GβGγ activation only possible when the nSH2 dissociates from p110β interface. To test this hypothesis, we measured the membrane binding dynamics of Dy647-PI3Kβ nSH2(R358A) on membranes containing pY and GβGγ. Comparing the bulk membrane recruitment of these constructs revealed that the inability of the Dy647-PI3Kβ nSH2 domain to bind to pY peptides made the kinase insensitive to synergistic membrane recruitment mediated by pY and GβGγ (<xref ref-type="fig" rid="fig3">Figure 3G</xref>). Similarly, the membrane association dynamics of Dy647-PI3Kβ nSH2(R358A), phenocopied a PI3Kβ (K532D, K533D) mutant that lacks the ability to engage GβGγ (<xref ref-type="fig" rid="fig3">Figure 3H</xref>).</p></sec><sec id="s2-4"><title>Rac1(GTP) and pY synergistically enhance PI3Kβ membrane localization</title><p>PI3Kβ is the only class IA PI3K shown to interact with Rho-family GTPases, Rac1, and Cdc42 (<xref ref-type="bibr" rid="bib25">Fritsch et al., 2013</xref>). Our membrane localization studies indicate, however, that Dy647-PI3Kβ does not strongly localize to membranes containing Rac1(GTP) alone (<xref ref-type="fig" rid="fig1">Figure 1C–D</xref> and <xref ref-type="fig" rid="fig1s2">Figure 1—figure supplement 2B</xref>). To determine whether membrane-anchored pY peptides can facilitate interactions with Rac1(GTP), we visualized the localization of Dy647-PI3Kβ on membranes containing pY-Rac1(GDP) or pY-Rac1(GTP). Our experiments were designed to have the same pY surface density across conditions. By incorporating a small fraction of Cy3-Rac1 and Alexa488-pY into our Rac1-pY membrane coupling reaction we were able to visualize single membrane-anchored proteins and calculate the membrane surface density of ~4000 Rac1/µm<sup>2</sup> and ~5000 pY/µm<sup>2</sup> (<xref ref-type="fig" rid="fig4">Figure 4A–B</xref>). Bulk localization to membranes containing either pY-Rac1(GDP) or pY-Rac1(GTP), revealed that active Rac1 could enhance Dy647-PI3Kβ localization 1.4-fold (<xref ref-type="fig" rid="fig4">Figure 4C–D</xref>). Similarly, single molecule analysis revealed a 1.5-fold increase in the mean dwell time of Dy647-PI3Kβ in the presence of pY-Rac1(GTP) (<xref ref-type="fig" rid="fig4">Figure 4E</xref>). The average displacement of Dy647-PI3Kβ per frame (i.e. 52 ms) also decreased by 28% in the presence of pY and Rac1(GTP) (<xref ref-type="fig" rid="fig4">Figure 4F</xref>), consistent with the formation of a membrane-bound PI3Kβ-pY-Rac1(GTP) ternary complex.</p><fig id="fig4" position="float"><label>Figure 4.</label><caption><title>Membrane-anchored phosphorylated (pY) peptides synergistically enhance Dy647-PI3Kβ membrane binding in the presence of Rac1(GTP).</title><p>(<bold>A</bold>) Cartoon schematic showing membrane conjugation of Cy3-Rac1 and AF488-pY on membranes containing unlabeled Rac1 and pY. (<bold>B</bold>) Representative TIRF-M images showing localization of Cy3-Rac1 (1:10,000 dilution) and AF488-pY (1:30,000 dilution) after membrane conjugation in the presence of 30 µM Rac1 and 10 µM pY. Membrane surface density equals ~4000 Rac1/µm<sup>2</sup> and ~5000 pY/µm<sup>2</sup>.(<bold>C</bold>) Representative TIRF-M images showing the equilibrium membrane localization of 5 pM and 10 nM Dy647-PI3Kβ measured in the presence of membranes containing either pY/Rac1(GDP) or pY/Rac1(GTP). (<bold>D </bold>) Bulk membrane recruitment dynamics of 10 nM Dy647-PI3Kβ measured in the presence of pY/Rac1(GDP) or pY/Rac1(GTP). (<bold>E</bold>) Single molecule dwell time distributions measured in the presence of 5 pM Dy647-PI3Kβ on supported membranes containing pY/Rac1(GDP) or pY/Rac1(GTP). (<bold>F</bold>) Step size distributions showing single molecule displacements from &gt;500 Dy647-PI3Kβ particles (&gt;10,000 steps) in the presence of either pY/Rac1(GDP) or pY/Rac1(GTP). Membrane composition: 96% DOPC, 2% PI(4,5)P<sub>2</sub>, 2% MCC-PE.</p><p><supplementary-material id="fig4sdata1"><label>Figure 4—source data 1.</label><caption><title>Related to <xref ref-type="fig" rid="fig4">Figure 4D</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig4-data1-v1.xlsx"/></supplementary-material></p><p><supplementary-material id="fig4sdata2"><label>Figure 4—source data 2.</label><caption><title>Related to <xref ref-type="fig" rid="fig4">Figure 4E</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig4-data2-v1.xlsx"/></supplementary-material></p><p><supplementary-material id="fig4sdata3"><label>Figure 4—source data 3.</label><caption><title>Related to <xref ref-type="fig" rid="fig4">Figure 4F</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig4-data3-v1.xlsx"/></supplementary-material></p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-88991-fig4-v1.tif"/></fig></sec><sec id="s2-5"><title>Rac1(GTP) and GβGγ stimulate PI3Kβ activity beyond enhancing membrane localization</title><p>Previous in vitro measurements of PI3Kβ activity have shown that solution pY stimulates lipid kinase activity (<xref ref-type="bibr" rid="bib88">Zhang et al., 2011</xref>; <xref ref-type="bibr" rid="bib17">Dbouk et al., 2012</xref>). Similar mechanisms of activation have been reported for other class IA kinases, including PI3Kα and PI3Kδ (<xref ref-type="bibr" rid="bib7">Buckles et al., 2017</xref>; <xref ref-type="bibr" rid="bib8">Burke et al., 2011</xref>; <xref ref-type="bibr" rid="bib19">Dornan et al., 2017</xref>). Functioning in concert with pY peptides, GβGγ, or Rho-family GTPase synergistically enhance PI3Kβ activity by a mechanism that remains unclear (<xref ref-type="bibr" rid="bib25">Fritsch et al., 2013</xref>; <xref ref-type="bibr" rid="bib17">Dbouk et al., 2012</xref>). Similarly, RTK-derived peptides and H-Ras (GTP) have been shown to synergistically activate PI3Kα (<xref ref-type="bibr" rid="bib7">Buckles et al., 2017</xref>; <xref ref-type="bibr" rid="bib71">Siempelkamp et al., 2017</xref>; <xref ref-type="bibr" rid="bib82">Yang et al., 2012</xref>). In the case of PI3Kβ, previous experiments have not determined whether synergistic activation by multiple signaling inputs results from an increase in membrane affinity (<italic>K<sub>D</sub></italic>) or direct modulation of lipid kinase activity (<italic>k<sub>cat</sub></italic>) through an allosteric mechanism. To determine how the lipid kinase activity of the PI3Kβ-pY complex is synergistically modulated by either GβGγ or Rho-family GTPases, we used TIRF-M to simultaneously visualize Dy647-PI3Kβ membrane localization and monitor PI(3,4,5)P<sub>3</sub> production. To measure the kinetics of PI(3,4,5)P<sub>3</sub> formation, we purified and fluorescently labeled the pleckstrin homology and Tec homology (PH-TH) domain derived from Bruton’s tyrosine kinase (Btk). We used a form of Btk containing a mutation that disrupts the peripheral PI(3,4,5)P<sub>3</sub> lipid binding domain (<xref ref-type="bibr" rid="bib78">Wang et al., 2015</xref>). This Btk mutant was previously shown to associate with a single PI(3,4,5)P<sub>3</sub> head group and exhibits rapid membrane equilibration kinetics in vitro (<xref ref-type="bibr" rid="bib13">Chung et al., 2019</xref>). Consistent with previous observations, Btk fused to SNAP-AF488 displayed high specificity and rapid membrane equilibration kinetics on SLBs containing PI(3,4,5)P<sub>3</sub> (<xref ref-type="fig" rid="fig5">Figure 5A, B</xref>). Compared to the PI(3,4,5)P<sub>3</sub> lipid sensor derived from the Cytohesin/Grp1 PH domain (<xref ref-type="bibr" rid="bib36">He et al., 2008</xref>; <xref ref-type="bibr" rid="bib48">Knight et al., 2010</xref>), the Btk lipid sensor exhibited a faster association rate constant (<italic>k<sub>ON</sub></italic>) and a more transient dwell time (1/<italic>k<sub>OFF</sub></italic>) making it ideal for kinetic analysis of PI3Kβ lipid kinase activity (<xref ref-type="fig" rid="fig5s1">Figure 5—figure supplement 1</xref>). Using Btk-SNAP-AF488, we measured the production of PI(3,4,5)P<sub>3</sub> lipids on SLBs by quantifying the time-dependent recruitment in the presence of PI3Kβ. The change in Btk-SNAP-AF488 membrane fluorescence could be converted to the absolute number of PI(3,4,5)P<sub>3</sub> lipids produced per µm<sup>2</sup> to determine the catalytic efficiency per membrane-bound Dy647-PI3Kβ.</p><fig-group><fig id="fig5" position="float"><label>Figure 5.</label><caption><title>G-protein complexes (GβGγ) and Rac1(GTP) stimulate phosphoinositide 3-kinase beta (PI3Kβ) activity beyond enhancing localization on phosphorylated (pY) membranes.</title><p>(<bold>A</bold>) Representative TIRF-M images showing localization of 20 nM Btk-SNAP-AF488 on supported lipid bilayers (SLBs) containing either 2% PI(4,5)P<sub>2</sub> or 2% PI(3,4,5)P<sub>3</sub>, plus 98% DOPC. (<bold>B</bold>) Bulk membrane recruitment kinetics of 20 nM Btk-SNAP-AF488 on an SLB measured by TIRF-M. (<bold>C–D</bold>) Kinetics of PI(3,4,5)P<sub>3</sub> production measured in the presence of 10 nM Dy647-PI3Kβ and 1 mM ATP on SLBs with membrane anchored pY, Rac1(GTP), or GβGγ alone. Reactions in (<bold>C</bold>) were performed in the absence of PS lipids, while membranes in (<bold>D</bold>) contained 20% DOPS. (<bold>E</bold>) Cartoon schematic illustrating method for measuring Dy647-PI3Kβ activity in the presence of either pY/Rac1(GDP) or pY/Rac1(GTP). Phase 1 of the reconstitution involves membrane equilibration of Dy647-PI3Kβ in the absence of ATP. During phase 2, 1 mM ATP was added to stimulate lipid kinase activity of Dy647-PI3Kβ. (<bold>F</bold>) Dual color TIRF-M imaging showing 2 nM Dy647-PI3Kβ localization and catalysis measured in the presence of 20 nM Btk-SNAP-AF488. Dashed line represents the addition of 1 mM ATP to the reaction chamber. (<bold>G</bold>) Cartoon schematic showing experimental design for measuring synergistic binding and activation of Dy647-PI3Kβ in the presence of pY and GβGγ. (<bold>H</bold>) Representative single molecule TIRF-M images showing the localization of 20 pM Dy647-PI3Kβ in (<bold>G</bold>). (<bold>I</bold>) Kinetics of PI(3,4,5)P<sub>3</sub> production monitored in the presence of 20 nM Btk-SNAP-AF488 and 10-20 pM Dy647-PI3Kβ. Membrane contained either pY or pY/GβGγ. (<bold>B, C, F, H, I</bold>) Membrane composition: 96% DOPC, 2% PI(4,5)P<sub>2</sub>, 2% MCC-PE. (<bold>D</bold>) Membrane composition: 76% DOPC, 20% DOPS, 2% PI(4,5)P<sub>2</sub>, 2% MCC-PE. All kinetic measurements of PI(3,4,5)P<sub>3</sub> production were performed in the presence of 20 nM Btk-SNAP-AF488.</p><p><supplementary-material id="fig5sdata1"><label>Figure 5—source data 1.</label><caption><title>Related to <xref ref-type="fig" rid="fig5">Figure 5B</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig5-data1-v1.xlsx"/></supplementary-material></p><p><supplementary-material id="fig5sdata2"><label>Figure 5—source data 2.</label><caption><title>Related to <xref ref-type="fig" rid="fig5">Figure 5C</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig5-data2-v1.xlsx"/></supplementary-material></p><p><supplementary-material id="fig5sdata3"><label>Figure 5—source data 3.</label><caption><title>Related to <xref ref-type="fig" rid="fig5">Figure 5D</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig5-data3-v1.xlsx"/></supplementary-material></p><p><supplementary-material id="fig5sdata4"><label>Figure 5—source data 4.</label><caption><title>Related to <xref ref-type="fig" rid="fig5">Figure 5F</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig5-data4-v1.xlsx"/></supplementary-material></p><p><supplementary-material id="fig5sdata5"><label>Figure 5—source data 5.</label><caption><title>Related to <xref ref-type="fig" rid="fig5">Figure 5I</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig5-data5-v1.xlsx"/></supplementary-material></p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-88991-fig5-v1.tif"/></fig><fig id="fig5s1" position="float" specific-use="child-fig"><label>Figure 5—figure supplement 1.</label><caption><title>Characterization of Bruton’s tyrosine kinase (Btk) and Grp1 membrane binding.</title><p>(<bold>A</bold>) Representative TIRF-M images showing the localization of 50 nM Grp1-AF555 and 50 nM Btk-SNAP-AF488 on supported lipid bilayers containing either 2% PI(4,5)P<sub>2</sub> or 2% PI(3,4,5)P<sub>3</sub>, plus 98% DOPC. (<bold>B</bold>) Single molecule dwell time distributions measured in the presence of 25 pM Btk-SNAP-AF488 (τ<sub>1</sub>=183 ms, n=4865 particles) or 50 pM Grp1-AF555 (τ<sub>1</sub>=523 ms, n=3160 particles). Dwell time distributions were fit to single exponential decay curves to calculate the characteristic dwell times (τ<sub>1</sub>). (<bold>C</bold>) Representative step-size distributions fit to a two species model for diffusion (dashed black line). Diffusivity was measured in the presence of either 25 pM Btk-SNAP-AF488 (D<sub>1</sub>=0.41 µm<sup>2</sup>/s, D<sub>2</sub>=1.64 µm<sup>2</sup>/s,<italic>α</italic>=0.66, n=4865 particles, n=25,857 steps) or 50 pM Grp1-AF555 (D<sub>1</sub>=0.53 µm<sup>2</sup>/s, D<sub>2</sub>=1.48 µm<sup>2</sup>/s, <italic>α</italic>=0.6, n=3160 particles, n=34,549 steps). (<bold>D–E</bold>) Cumulative membrane of binding events measured in the presence of 25 pM, 50 pM, and 100 pM (<bold>D</bold>) Grp1-AF555 or (<bold>E</bold>) Btk-SNAP-AF488. The field of view for the data collected in (<bold>D–E</bold>) equals 3000 µm<sup>2</sup>.(<bold>F</bold>) Calculation of the on-rate (<italic>K<sub>ON</sub></italic>) for PI(3,4,5)P<sub>3</sub> biosensors for data in (D-E). The slopes from each cumulative membrane binding curve in (<bold>D–E</bold>) were then plotted as a function of the Grp1-AF555 and Btk-SNAP-AF488 solution concentration to calculate the following association rate constants: <italic>K<sub>ON</sub></italic><sub>(Grp1-AF555)</sub>=0.13 Grp1 nM<sup>–1</sup>×µm<sup>–2</sup>×s<sup>–1</sup>; <italic>K<sub>ON</sub></italic><sub>(Btk-SNAP-AF488)</sub> = 0.48 molecules nM<sup>–1</sup>×µm<sup>–2</sup>×s<sup>–1</sup>. Membrane composition for single molecule measurements: 98% DOPC, 2% PI(3,4,5)P<sub>3</sub>.</p><p><supplementary-material id="fig5s1sdata1"><label>Figure 5—figure supplement 1—source data 1.</label><caption><title>Related to <xref ref-type="fig" rid="fig5s1">Figure 5—figure supplement 1B</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig5-figsupp1-data1-v1.xlsx"/></supplementary-material></p><p><supplementary-material id="fig5s1sdata2"><label>Figure 5—figure supplement 1—source data 2.</label><caption><title>Related to <xref ref-type="fig" rid="fig5s1">Figure 5—figure supplement 1C</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig5-figsupp1-data2-v1.xlsx"/></supplementary-material></p><p><supplementary-material id="fig5s1sdata3"><label>Figure 5—figure supplement 1—source data 3.</label><caption><title>Related to <xref ref-type="fig" rid="fig5s1">Figure 5—figure supplement 1D</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig5-figsupp1-data3-v1.xlsx"/></supplementary-material></p><p><supplementary-material id="fig5s1sdata4"><label>Figure 5—figure supplement 1—source data 4.</label><caption><title>Related to <xref ref-type="fig" rid="fig5s1">Figure 5—figure supplement 1E</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig5-figsupp1-data4-v1.xlsx"/></supplementary-material></p><p><supplementary-material id="fig5s1sdata5"><label>Figure 5—figure supplement 1—source data 5.</label><caption><title>Related to <xref ref-type="fig" rid="fig5s1">Figure 5—figure supplement 1F</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig5-figsupp1-data5-v1.xlsx"/></supplementary-material></p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-88991-fig5-figsupp1-v1.tif"/></fig><fig id="fig5s2" position="float" specific-use="child-fig"><label>Figure 5—figure supplement 2.</label><caption><title>Reconstitution of Phosphoinositide 3-kinase beta (PI3Kβ) lipid kinase activity on supported membranes.</title><p>(<bold>A</bold>) Cartoon schematic showing how the production of PI(3,4,5)P<sub>3</sub> is monitored by visualizing membrane recruitment of soluble Btk-SNAP-AF488. (<bold>B</bold>) Kinetics of PI(3,4,5)P<sub>3</sub> production monitored in the presence of 20 nM Btk-SNAP-AF488 and 10 nM Dy647-PI3Kβ (note that this PI3Kβ concentration is higher than what was used to measure synergistic activation in <xref ref-type="fig" rid="fig5">Figure 5</xref>). Membranes were conjugated with 10 µM pY for 2 hrs (‘pY mb’) or 10 µM pY was added in solution to stimulate Dy647-PI3Kβ. (<bold>C</bold>) Zoom in on the graph in (<bold>B</bold>). In the presence of 10 nM Dy647-PI3Kβ, the initial reaction velocities were 157 PI(3,4,5)P<sub>3</sub>/µm<sup>2</sup>×s (+pY mb) and 0.76 PI(3,4,5)P<sub>3</sub>/µm<sup>2</sup>×s (+pY solution). Membrane composition: 96% DOPC, 2% PI(4,5)P<sub>2</sub>, 2% MCC-PE.(<bold>D</bold>) Kinetics of PI(3,4,5)P<sub>3</sub> production monitored in the presence of 20 nM Btk-SNAP-AF488, 20 pM Dy647-PI3Kβ, and the indicated densities of SNAP-GβGγ. Membranes contained either pY alone or pY/GβGγ. As a negative control, we measured the activity of the Dy647-PI3Kβ GβGγ binding mutant (K532D, K533D). Membrane composition: 96% DOPC, 2% PI(4,5)P<sub>2</sub>, 2% MCC-PE. (<bold>E</bold>) Kinetics of PI(3,4,5)P<sub>3</sub> production monitored in the presence of 20 nM Btk-SNAP-AF488 and 20 pM Dy647-PI3Kβ. Membrane contained either pY alone, GβGγ alone, or pY/GβGγ. Membrane composition: 76% DOPC, 20% DOPS, 2% PI(4,5)P<sub>2</sub>, 2% MCC-PE. (<bold>D–E</bold>) A final ATP concentration of 1 mM was spiked into the reaction chamber at time zero to initiate the Dy647-PI3Kβ kinase activity measurements.</p><p><supplementary-material id="fig5s2sdata1"><label>Figure 5—figure supplement 2—source data 1.</label><caption><title>Related to .<xref ref-type="fig" rid="fig5s2">Figure 5—figure supplement 2B</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig5-figsupp2-data1-v1.xlsx"/></supplementary-material></p><p><supplementary-material id="fig5s2sdata2"><label>Figure 5—figure supplement 2—source data 2.</label><caption><title>Related to <xref ref-type="fig" rid="fig5s2">Figure 5—figure supplement 2A</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig5-figsupp2-data2-v1.xlsx"/></supplementary-material></p><p><supplementary-material id="fig5s2sdata3"><label>Figure 5—figure supplement 2—source data 3.</label><caption><title>Related to <xref ref-type="fig" rid="fig5s2">Figure 5—figure supplement 2B</xref>.</title></caption><media mimetype="application" mime-subtype="xlsx" xlink:href="elife-88991-fig5-figsupp2-data3-v1.xlsx"/></supplementary-material></p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-88991-fig5-figsupp2-v1.tif"/></fig></fig-group><p>While our binding experiments provide a mechanism for enhanced PI3Kβ membrane localization in the presence of either pY-Rac1(GTP) or pY-GβGγ, these results did not reveal the mechanism controlling synergistic activation of lipid kinase activity. To probe if synergistic activation results from enhanced membrane localization or allosteric modulation of PI3Kβ, we first examined how well the pY peptide stimulates PI3Kβ lipid kinase activity on SLBs. In the absence of pY peptides, PI3Kβ did not catalyze the production of PI(3,4,5)P<sub>3</sub> lipids, while the addition of 10 µM pY in solution resulted in a subtle increase in PI3Kβ lipid kinase activity (<xref ref-type="fig" rid="fig5s2">Figure 5—figure supplement 2A–2C</xref>). By contrast, covalent conjugation of pY peptides to supported lipid bilayers increased the rate of PI(3,4,5)P<sub>3</sub> production by 207-fold (<xref ref-type="fig" rid="fig5s2">Figure 5—figure supplement 2A–2C</xref>). The observed difference in kinetics was consistent with robust membrane recruitment of Dy647-PI3Kβ requiring membrane-tethered pY peptides. Comparing the lipid kinase activity of PI3Kβ measured in the presence of individual signaling inputs – pY, Rac1(GTP), and GβGγ – revealed that pY alone provided the strongest stimulation (<xref ref-type="fig" rid="fig5">Figure 5C</xref>). This was largely due to the dramatic enhancement in membrane recruitment caused by membrane-tethered pY peptides. Incorporation of 20% DOPS lipids in the SLBs raised the overall activity of PI3Kβ across all conditions but the general trend for signaling input preference was preserved (<xref ref-type="fig" rid="fig5">Figure 5D</xref>). Similar to previous observations (<xref ref-type="bibr" rid="bib17">Dbouk et al., 2012</xref>), we found that GβGγ alone could subtly stimulate PI3Kβ lipid kinase activity, without strongly enhancing membrane PI3Kβ localization (<xref ref-type="fig" rid="fig1s2">Figure 1—figure supplement 2</xref>). By contrast, the PI3Kβ (K532D, K533D) mutant that was unable to interact with GβGγ was insensitive to GβGγ-mediated activation (<xref ref-type="fig" rid="fig5">Figure 5D</xref>).</p><p>Next, we sought to test whether the combination of pY and Rac1(GTP) could synergistically stimulate PI3Kβ activity beyond the expected increase due to the enhanced membrane localization of the PI3Kβ-pY-Rac1(GTP) complex. To decipher the mechanism of synergistic activation, we performed two-phase experiments that accounted for both the total density of membrane bound Dy647-PI3Kβ and the corresponding kinetics of PI(3,4,5)P<sub>3</sub> generation. In phase 1 of our experiments, Dy647-PI3Kβ was flowed over SLBs and allowed to equilibrate with either pY-Rac1(GDP) or pY-Rac1(GTP) in the absence of ATP (<xref ref-type="fig" rid="fig5">Figure 5E, F</xref>). This resulted in a 1.8-fold increase in Dy647-PI3Kβ localization mediated by the combination of membrane-tethered Rac1(GTP) and pY, compared to pY membranes alone. Following membrane equilibration of Dy647-PI3Kβ, phase 2 was initiated by adding a final concentration of 1 mM ATP to the reaction chamber to stimulate lipid kinase activity. We found that the addition of ATP did not alter the bulk localization of Dy647-PI3Kβ, though the kinase was in dynamic equilibrium between the solution and membrane. Conducting experiments in this manner allowed us to measure activation by inputs while removing uncertainty from differential Dy647-PI3Kβ association with various signaling inputs. After accounting for the 1.8-fold difference in Dy647-PI3Kβ membrane localization comparing pY-Rac1(GDP) and pY-Rac1(GTP) membranes, we calculated a 4.3-fold increase in PI3Kβ activity that was dependent on Rac1(GTP).</p><p>Using the two-phase kinase assay described above, we next examined how pY and GβGγ synergistically activate PI3Kβ (<xref ref-type="fig" rid="fig5">Figure 5G</xref>). In our pilot experiments, we immediately observed more robust activation of PI3Kβ in the presence of pY-GβGγ, compared to pY-Rac1(GTP). To accurately measure the rapid kinetics of PI(3,4,5)P<sub>3</sub> generation on SLBs we had to use a 100-fold lower concentration of Dy647-PI3Kβ. Under these conditions, single membrane-bound Dy647-PI3Kβ molecules could be spatially resolved, which allowed us to measure the catalytic efficiency per PI3Kβ (<xref ref-type="fig" rid="fig5">Figure 5H</xref>). Comparing the activity of Dy647-PI3Kβ on membranes with pY alone or pY-GβGγ, we observed a 22-fold increase in catalytic efficiency comparing the PI3Kβ-pY and PI3Kβ-pY-GβGγ complexes (<xref ref-type="fig" rid="fig5">Figure 5I</xref>). Synergistic activation was dependent on the direct interaction between PI3Kβ and GβGγ (<xref ref-type="fig" rid="fig5s2">Figure 5—figure supplement 2D</xref>). By varying the density of membrane-anchored GβGγ, we determined that maximum synergistic activation occurred when GβGγ was present at a density greater than 2400 molecules/µm<sup>2</sup> (<xref ref-type="fig" rid="fig5s2">Figure 5—figure supplement 2D</xref>). Similar levels of PI3Kβ activity were measured in the ATP spike experiments when 20% DOPS was incorporated in the supported membranes (<xref ref-type="fig" rid="fig5s2">Figure 5—figure supplement 2E</xref>). Based on the membrane-bound density of ~0.2 Dy647-PI3Kβ molecules per µm<sup>2</sup>, we calculate a <italic>k<sub>cat</sub></italic> of 57 PI(3,4,5)P<sub>3</sub> lipids/s•PI3Kβ on pY-GβGγ containing membranes. By contrast, the Dy647-PI3Kβ-pY complex had a <italic>k<sub>cat</sub></italic> of 3 PI(3,4,5)P<sub>3</sub> lipids/s•PI3Kβ.</p></sec></sec><sec id="s3" sec-type="discussion"><title>Discussion</title><sec id="s3-1"><title>Prioritization of signaling inputs</title><p>The exact mechanisms that regulate how PI3Kβ prioritizes interactions with signaling input, such as pY, Rac1(GTP), and GβGγ remains unclear. To fill this gap in knowledge, we directly visualized the membrane association and dissociation dynamics of fluorescently labeled PI3Kβ on supported lipid bilayers using single molecule TIRF microscopy. This is the first study to reconstitute membrane localization and activation of a class 1A PI3K using multiple signaling inputs that are all membrane-tethered in a physiologically relevant configurations. Previous experiments have relied exclusively on phosphotyrosine peptides (pY) presented in solution to activate PI3Kα, PI3Kβ, or PI3Kδ (<xref ref-type="bibr" rid="bib88">Zhang et al., 2011</xref>; <xref ref-type="bibr" rid="bib19">Dornan et al., 2017</xref>; <xref ref-type="bibr" rid="bib17">Dbouk et al., 2012</xref>). However, pY peptides are derived from the cytoplasmic domains of transmembrane receptors, such as receptor tyrosine kinases (RTKs), which reside in the plasma membrane (<xref ref-type="bibr" rid="bib53">Lemmon and Schlessinger, 2010</xref>). Although pY peptides in solution can disrupt the inhibitory contacts between the regulatory and catalytic subunits of class 1A PI3Ks (<xref ref-type="bibr" rid="bib88">Zhang et al., 2011</xref>; <xref ref-type="bibr" rid="bib86">Yu et al., 1998</xref>), they do not robustly localize PI3Ks to membranes when they exist in solution. When conjugated to SLBs, we find that pY peptides strongly localize PI3Kβ and relieve autoinhibition, while membranes containing either Rac1(GTP) or GβGγ alone are unable to robustly localize PI3Kβ. We observed this prioritization of signaling input interactions over a range of membrane compositions that contained physiologically relevant densities of anionic lipids, such as 20% PS and 2% PI(4,5)P<sub>2</sub>. Although a small fraction of PI3Kβ may transiently adopt a conformation that is compatible with direct Rac1(GTP) or GβGγ association in the absence of pY, these events are rare and do not represent the most probable pathway for controlling initial PI3Kβ membrane docking. Given the complexity of the cellular plasma membrane lipid composition (<xref ref-type="bibr" rid="bib54">Lorent et al., 2020</xref>), our experimental system uses a relatively simple mixture of lipids that maximized membrane fluidity and minimized surface defects that could promote non-specific molecular interactions. By this approach, our study provides clarity concerning the strength of various protein-protein interactions that regulate PI3Kβ membrane localization and activity.</p><p>Based on our single molecule dwell time and diffusion analysis, Dy647-PI3Kβ can cooperatively bind to one doubly phosphorylated peptide derived from the PDGF receptor. Supporting this model, Dy647-PI3Kβ with a mutated nSH2 or cSH2 domain that eliminates pY binding, still displayed membrane diffusivity indistinguishable from wild-type PI3Kβ. The diffusion coefficient of membrane-bound pY-PI3Kβ complexes also did not significantly change over a broad range of pY membrane surface densities that span three orders of magnitude. Given that diffusivity of peripheral membrane binding proteins is strongly correlated with the valency of membrane interactions (<xref ref-type="bibr" rid="bib89">Ziemba and Falke, 2013</xref>; <xref ref-type="bibr" rid="bib34">Hansen et al., 2022</xref>), we expected to observe a decrease in Dy647-PI3Kβ diffusion with increasing membrane surface densities of pY. Instead, our data suggests that the vast majority of PI3Kβ molecules engage a single pY peptide, rather than binding one tyrosine phosphorylated residue on two separate pY peptides. While no structural studies have shown how exactly the tandem SH2 domains of PI3K (p85α) simultaneously bind to adoubly phosphorylated pY peptide, the interactions likely resemble the mechanism reported for ZAP-70 (Zeta-Chain-Associated Protein Kinase 70). The tandem SH2 domains of ZAP-70 can bind to a doubly phosphorylated chain derived from the TCR with only 11 amino acids spacing between the two tyrosine phosphorylation sites (<xref ref-type="bibr" rid="bib35">Hatada et al., 1995</xref>). In the case of our PDGFR-derived pY peptide that binds p85α, 10 amino acids separate the two tyrosine phosphorylated residues.</p><p>Following the engagement of a pY peptide, we find that PI3Kβ can then associate with membrane-anchored Rac1(GTP) or GβGγ. We detected the formation of PI3Kβ-pY-Rac1(GTP) and PI3Kβ-pY-GβGγ complexes based on the following criteria: (1) increase in Dy647-PI3Kβ bulk membrane recruitment, (2) increase in single molecule dwell time, and (3) a decrease in membrane diffusivity. Consistent with Dy647-PI3Kβ having a weak affinity for GβGγ, pY peptides in solution were unable to strongly localize Dy647-PI3Kβ to SLBs containing membrane-anchored GβGγ unless there was 20% PS lipids present. This is in agreement with HDX-MS data showing that the p110β-GβGγ interaction can only be detected using a GβGγ-p85α(icSH2) chimeric fusion or pre-activating PI3Kβ with solution pY (<xref ref-type="bibr" rid="bib17">Dbouk et al., 2012</xref>). Using AlphaFold Multimer (<xref ref-type="bibr" rid="bib23">Evans et al., 2022</xref>; <xref ref-type="bibr" rid="bib45">Jumper et al., 2021</xref>), we created a model that illustrates how the p85α(nSH2) domain is predicted to sterically block GβGγ binding to p110β. This model was validated by comparing the AlphaFold Multimer model to previous reported HDX-MS (<xref ref-type="bibr" rid="bib16">Dbouk et al., 2010</xref>) and X-ray crystallography data (<xref ref-type="bibr" rid="bib88">Zhang et al., 2011</xref>). Further supporting this model, we found that the Dy647-PI3Kβ nSH2(R358A) mutant tethered to membrane-conjugated pY peptide was unable to engage membrane-anchored GβGγ. Membrane targeting of PI3Kβ by pY was required to relieve nSH2 mediated autoinhibition and expose the GβGγ binding site. Recruitment by membrane-tethered pY also reduces the translational and rotational entropy of PI3Kβ, which facilitates PI3Kβ-pY-GβGγ complex formation. We observed a similar mechanism of synergistic PI3Kβ localization on SLBs containing pY and Rac1(GTP). This was consistent with single molecule studies investigating synergistic enhanced localization of PI3Kα in the presence of H-Ras(GTP) and solution pY peptide (<xref ref-type="bibr" rid="bib7">Buckles et al., 2017</xref>). It remains unclear how p85α-mediated inhibition controls the association dynamics between PI3Kβ and Rac1(GTP).</p></sec><sec id="s3-2"><title>Mechanism of synergistic activation</title><p>Previous characterization of PI3Kβ lipid kinase activity has utilized solution-based assays to measure P(3,4,5)P<sub>3</sub> production. These solution-based measurements lack spatial information concerning the mechanism of PI3Kβ membrane recruitment and activation. Our ability to simultaneously visualize PI3Kβ membrane localization and P(3,4,5)P<sub>3</sub> production was critical for determining which regulatory factors directly modulate the catalytic efficiency of PI3Kβ. In the case of PI3Kα, the enhanced membrane recruitment model has been used to explain the synergistic activation mediated by pY and Ras(GTP) (<xref ref-type="bibr" rid="bib7">Buckles et al., 2017</xref>). In other words, the PI3Kα-pY-Ras complex is more robustly localized to membranes compared to the PI3Kα-pY and PI3Kα-Ras complexes, which results in a larger total catalytic output for the system. Although the Ras binding domain (RBD) of PI3Kα and PI3Kβ are conserved, these kinases interact with distinct Ras superfamily GTPases (<xref ref-type="bibr" rid="bib25">Fritsch et al., 2013</xref>). Therefore, it’s possible that PI3Kα and PI3Kβ display different mechanisms of synergistic activation, which could explain their non-overlapping roles in cell signaling.</p><p>Studies of PI3Kβ mouse knock-in mutations in primary macrophages and neutrophils have shown that robust PI3Kβ activation requires coincident activation through the RTK and GPCR signaling pathways (<xref ref-type="bibr" rid="bib38">Houslay et al., 2016</xref>). This response most strongly depends on the ability of PI3Kβ to bind GβGγ and, to a lesser extent, Rac1/Cdc42 (<xref ref-type="bibr" rid="bib38">Houslay et al., 2016</xref>). A similar mechanism of synergistic activation has been reported for PI3Kγ in the presence of H-Ras(GTP) and GβGγ (<xref ref-type="bibr" rid="bib74">Suire and Lécureuil, 2012</xref>; <xref ref-type="bibr" rid="bib65">Rathinaswamy et al., 2021</xref>). Although mutational studies have deciphered the pathways that drive synergistic of PI3Kγ and PI3Kβ activation in cells, signaling network crosstalk and redundancy limits our mechanistic understanding of how these kinases prioritizes signaling inputs and the exact mechanism for driving PI(3,4,5)P<sub>3</sub> production. Based on our single molecule membrane binding experiments, autoinhibited PI3Kβ does not strongly associate with either Rac1(GTP) or GβGγ in the absence of pY peptides. We found that PI3Kβ kinase activity is also relatively insensitive to either Rac1(GTP) or GβGγ alone but can stimulate some PI3Kβ activity when 20% PS lipids is incorporated into the supported lipid bilayers. Importantly, the prioritization of signal input localization strengths was similar across all membrane compositions tested. Previous studies that showed Rho-GTPases (<xref ref-type="bibr" rid="bib25">Fritsch et al., 2013</xref>) and GβGγ (<xref ref-type="bibr" rid="bib46">Katada et al., 1999</xref>; <xref ref-type="bibr" rid="bib17">Dbouk et al., 2012</xref>; <xref ref-type="bibr" rid="bib56">Maier et al., 1999</xref>) can individually activate PI3Kβ used more complex lipid mixtures that incorporate sphingomyelin, cholesterol, and phosphatidylethanolamine to mimic the cellular plasma membrane composition. In the future, a more comprehensive analysis will be required to map the relationship between PI3Kβ activity, membrane localization, and lipid composition.</p><p>In our single molecule TIRF experiments, we find that the pY peptide is the only factor that robustly localizes PI3Kβ to supported membranes in an autonomous manner. However, the pY-PI3Kβ complexdisplays weak lipid kinase activity (<italic>k<sub>cat</sub></italic> = 3 PI(3,4,5)P<sub>3</sub> lipids/sec per PI3Kβ). This is consistent with cellular measurements showing that RTK activation by insulin (<xref ref-type="bibr" rid="bib47">Knight et al., 2006</xref>), PDGF (<xref ref-type="bibr" rid="bib30">Guillermet-Guibert et al., 2008</xref>), or EGF (<xref ref-type="bibr" rid="bib14">Ciraolo et al., 2008</xref>) show little PI3Kβ dependence for PI(3,4,5)P<sub>3</sub> production. Although the dominant role of PI3Kα in controlling PI(3,4,5)P<sub>3</sub> production downstream of RTKs can mask the contribution from PI3Kβ in some cell types, these results highlight the need for PI3Kβ to be synergistically activated. When we measured the kinetics of lipid phosphorylation for PI3Kβ-pY-Rac1(GTP) and PI3Kβ-pY-GβGγ complexes, we observed synergistic activation beyond simply enhancing PI3Kβ membrane localization. After accounting for the ~1.8-fold increase in membrane localization between PI3Kβ-pY-Rac1(GTP) and PI3Kβ-pY-Rac1(GDP), we calculated a 4.3-fold increase in <italic>k<sub>cat</sub></italic> (13 PI(3,4,5)P<sub>3</sub> lipids/sec per PI3Kβ) that was dependent on engaging Rac1(GTP). Comparing the kinase activity of PI3Kβ-pY and PI3Kβ-pY-GβGγ complexes that are present at the same membrane surface density (~0.2 PI3Kβ/µm<sup>2</sup>) revealed a 22-fold increase in <italic>k<sub>cat</sub></italic> mediated by the GβGγ interaction. Together, these results indicate that PI3Kβ-pY complex association with either Rac1(GTP) or GβGγ allosterically modulates PI3Kβ, making it more catalytically efficient.</p></sec><sec id="s3-3"><title>Mechanisms controlling cellular activation of PI3Kβ</title><p>Studies of PI3K activation by pY peptides have mostly been performed using peptides derived from the IRS-1 (Insulin Receptor Substrate 1) and the EGFR/PDGF receptors (<xref ref-type="bibr" rid="bib3">Backer et al., 1992</xref>; <xref ref-type="bibr" rid="bib24">Fantl et al., 1992</xref>). As a result, we still have not defined the broad specificity p85α has for tyrosine-phosphorylated peptides. Biochemistry studies indicate that the nSH2 and cSH2 domains of p85α robustly bind pY residues with a methionine in the +3 position (pYXXM) (<xref ref-type="bibr" rid="bib6">Breeze et al., 1996</xref>; <xref ref-type="bibr" rid="bib61">Nolte et al., 1996</xref>; <xref ref-type="bibr" rid="bib3">Backer et al., 1992</xref>; <xref ref-type="bibr" rid="bib24">Fantl et al., 1992</xref>). The p85α subunit is also predicted to interact with the broad repertoire of receptors that contain immunoreceptor tyrosine-based activation motifs (ITAMs) baring the pYXX(L/I) motif (<xref ref-type="bibr" rid="bib67">Reth, 1989</xref>; <xref ref-type="bibr" rid="bib62">Osman et al., 1996</xref>; <xref ref-type="bibr" rid="bib87">Zenner et al., 1996</xref>; <xref ref-type="bibr" rid="bib55">Love and Hayes, 2010</xref>). Based on RNA seq data, human neutrophils express at least six different Fc receptors (FcRs) that all contain phosphorylated ITAMs that can potentially facilitate membrane localization of class 1A PI3Ks (<xref ref-type="bibr" rid="bib68">Rincón et al., 2018</xref>).</p><p>A variety of human diseases result from the overexpression of RTKs, especially the epithelial growth factor receptor (EGFR) (<xref ref-type="bibr" rid="bib70">Sauter et al., 1996</xref>). When the cellular plasma membrane contains densities of EGFR greater than 2000 receptors/µm<sup>2</sup>, trans-autophosphorylation, and activation can occur in an EGF-independent manner (<xref ref-type="bibr" rid="bib21">Endres et al., 2013</xref>). Membrane surface densities above the threshold required for spontaneous trans-autophosphorylation of EGFR have been observed in many cancer cells (<xref ref-type="bibr" rid="bib31">Haigler et al., 1978</xref>). In these disease states, PI3K is expected to localize to the plasma membrane in the absence of ligand-induced RTK or GPCR signaling. The slow rate of PI(3,4,5)P<sub>3</sub> production we measured for the membrane-tethered pY-PI3Kβ complex suggests that PI(3,4,5)P<sub>3</sub> levels are not likely to rise above the global inhibition imposed by lipid phosphatases until synergistic activation of PI3Kβ by RTKs and GPCRs. However, loss of PTEN in some cancers (<xref ref-type="bibr" rid="bib44">Jia et al., 2008</xref>) could produce an elevated level of PI(3,4,5)P<sub>3</sub> due to PI3Kβ being constitutively membrane localized via ligand-independent trans-autophosphorylation of RTKs.</p></sec></sec><sec id="s4" sec-type="materials|methods"><title>Materials and methods</title><sec id="s4-1"><title>Molecular biology</title><p>The following genes were used as templates for PCR to clone plasmids used for recombinant protein expression: <italic>PIK3CB</italic> (human 1-1070aa; Uniprot Accession #P42338), <italic>PIK3R1</italic> (human 1-724aa; Uniprot Accession #P27986), <italic>PIK3CG</italic> (human 1-1102aa; Uniprot Accession #P48736), <italic>PIK3R5</italic> (human 1-880aa; Uniprot Accession #Q8WYR1), <italic>RAC1</italic> (human 1-192aa; Uniprot Accession #P63000), <italic>CYTH3</italic>/Grp1 (human 1-400aa; Uniprot Accession #O43739), <italic>BTK</italic> (bovine 1-659aa; Uniprot Accession #Q3ZC95), neutrophil cytosol factor 2 (<italic>NCF2</italic>, human 1-526aa; Uniprot Accession #P19878, referred to as p67/phox), <italic>PREX1</italic> (human 1-1659aa; Uniprot Accession #Q8TCU6), <italic>GNB1/GBB1</italic> (Gβ<sub>1</sub>, bovine 1-340aa; Uniprot Accession #P62871), <italic>GNG2/GBG2</italic> (Gγ<sub>2</sub>, bovine 1-71aa; Uniprot Accession #P63212). The following plasmids were purchased as cDNA clones from Horizon (PerkinElmer), formerly known as Open Biosystems and Dharmacon: human <italic>PIK3R1</italic> (clone #30528412, cat #MHS6278-202806334) and human <italic>CYTH3</italic>/Grp1 (clone #4811560, cat #MHS6278-202806616). Genes encoding bovine Gβ<sub>1</sub> and Gγ<sub>2</sub> were derived from the following plasmids: YFP-Gβ<sub>1</sub> (Addgene plasmid # 36397) and YFP-Gγ<sub>2</sub> (Addgene plasmid # 36102). These Gβ<sub>1</sub> and Gγ<sub>2</sub> containing plasmids were kindly provided to Addgene by Narasimhan Gautam (<xref ref-type="bibr" rid="bib69">Saini et al., 2007</xref>). In this study, we used a previously described mutant form of Btk with mutations in the peripheral PI(3,4,5)P<sub>3</sub> binding site (R49S/K52S) (<xref ref-type="bibr" rid="bib13">Chung et al., 2019</xref>; <xref ref-type="bibr" rid="bib78">Wang et al., 2015</xref>). The Btk peripheral site mutant was PCR amplified using a plasmid provided by Jean Chung (Colorado State, Fort Collins) that contained the following coding sequence: his6-SUMO-Btk(PH-TH, R49S/K52S)-EGFP. The nSH2 biosensor was derived from human <italic>PIK3R1</italic>. The gene encoding human <italic>PREX1</italic> was provided by Orion Weiner (University of California San Francisco). Refer to supplemental text to see exact peptide sequence of every protein purified in this study. The following mutations were introduced into either the <italic>PIK3CB</italic> (p110β) or <italic>PIK3R1</italic> (p85α) genes using site-directed mutagenesis: p85α nSH2 (R358A, FLVR-&gt;FLVA), p85α cSH2 (R649A, FLVR-&gt;FLVA), p110β GβGγ mutant (K532D/K533D). For cloning, genes were PCR amplified using AccuPrime <italic>Pfx</italic> master mix (Thermo Fisher, Cat#12344040) and combined with a restriction digested plasmids using Gibson assembly (<xref ref-type="bibr" rid="bib28">Gibson et al., 2009</xref>). Refer to the Appendix Resource Table for a complete list of plasmids used in this study. The complete open reading frame of all vectors used in this study were sequenced to ensure the plasmids lacked deleterious mutations.</p></sec><sec id="s4-2"><title>BACMID and baculovirus production</title><p>We generated BACMID DNA as previously described (<xref ref-type="bibr" rid="bib33">Hansen et al., 2019</xref>). FASTBac1 plasmids containing our gene of interested were transformed into DH10 Bac cells and plated on LB agar media containing 50 µg/mL kanamycin, 10 µg/mL tetracycline, 7 µg/mL gentamycin, 40 µg/mL X-GAL, and 40 µg/mL IPTG. Plated cells were incubated for 2–3 days at 37 °C before positive clones were isolated based on blue-white colony selection. White colonies were inoculated into 5 mL of TPM containing 50 µg/mL kanamycin, 10 µg/mL tetracycline, 7 µg/mL gentamycin, and grown overnight at 37 °C. To purify the BACMID DNA, bacteria were pelleted by centrifugation and then re-suspended in 300 µL of buffer containing 50 mM Tris [pH 8.0], 10 mM EDTA, 100 µg/mL RNase A. Bacteria were lysed into 300 µL of buffer containing 200 mM NaOH, 1% SDS before neutralization with 300 µL of 4.2 M Guanidine HCl, 0.9 M KOAc [pH 4.8]. Samples we subsequently centrifuged at 23 °C for 10 min at 14,000 × g. Supernatant containing the BACMID DNA was combined with 700 µL 100% isopropanol and spun for 10 min at 14,000 × g. The DNA pellets were washed twice with 70% ethanol (200 µL and 50 µL) and centrifuged. The ethanol was removed by vacuum aspiration and the final DNA pellet was dried in a biosafety hood. Finally, we solubilized the BACMID DNA in 50–100 µL of sterile filtered MilliQwater. A Nanodrop was used to quantify the total DNA concentration. BACMID DNA was stored at –20 °C or used immediately for higher transfection efficiency. Baculovirus was generated as previously described. In brief, we incubated 5–7 µg of BACMID DNA with 4 µL Fugene (Thermo Fisher, Cat# 10362100) in 250 µL of Opti-MEM serum-free media for 30 min at 23 °C. The DNA-Fugene mixture was then added to a Corning six-well plastic dish (Cat# 07-200-80) containing 1 × 10<sup>6</sup> <italic>Spodoptera frugiperda</italic> (Sf9) insect cells in 2 mL of ESF 921 Serum-Free Insect Cell Culture media (Expression Systems, Cat# 96–001, Davis, CA.). 4–5 days following the initial transfection, we harvested and centrifuged the viral supernatant (called ‘P0’). P0 was used to generate a P1 titer by infecting 7 × 10<sup>6</sup> <italic>Sf9</italic> cells plated on a 10 cm tissue culture grade petri dish containing 10 mL of ESF 921 media and 2% Fetal Bovine serum (Seradigm, Cat# 1500–500, Lot# 176B14). After 5 days of transfection, the P1 titer was harvest and clarified by centrifugation. The P1 titer was expanded by infecting 100 mL Sf9 cell culture grown to a density of 10<sup>6</sup> cells/mL with 1% vol/vol P1 viral titer in a sterile 250 mL polycarbonate Erlenmeyer flask with a vented cap (Corning, #431144). The P2 titer (viral supernatant) was harvested, centrifuged, and 0.22 µm filtered in 150 mL filter-top bottle (Corning, polyethersulfone (PES), Cat#431153). The P2 viral titer was subsequently used for protein expression in High five cells grown in ESF 921 Serum-Free Insect Cell Culture media (0% FBS) using a final baculovirus concentration of ~2% vol/vol. All our media contained 1 x concentration of Antibiotic-Antimycotic (Gibco/Invitrogen, Cat#15240–062). A PCR-based Mycoplasma Detection kit was used to verify our insect cell lines were free of mycoplasma contaminants (ATCC, Cat #30–1012 K).</p></sec><sec id="s4-3"><title>Protein purification</title><sec id="s4-3-1"><title>PI3Kβ and PI3Kγ</title><p>Genes encoding human his6-TEV-PIK3CB (1-1070aa) and ybbr-PIK3R1 (1-724aa) were cloned into a modified FastBac1 dual expression vector containing tandem polyhedrin (pH) promoters. Genes encoding human PIK3CG (1-1102aa) and TwinStreptTag-his10-TEV-ybbr-PIK3R5 (1-880aa) were expressed and purified using separate FastBac1 vectors under the polyhedrin (pH) promoters as previously described (<xref ref-type="bibr" rid="bib65">Rathinaswamy et al., 2021</xref>). For protein expression, high titer baculovirus was generated by transfecting 1 × 10<sup>6</sup> <italic>Spodoptera frugiperda</italic> (Sf9) with 0.75–1 µg of BACMID DNA as previously described (<xref ref-type="bibr" rid="bib33">Hansen et al., 2019</xref>). After two rounds of baculovirus amplification and protein test expression, 2 × 10<sup>6</sup> cells/mL High five cells were infected with 2% vol/vol PI3Kβ (PIK3CB/PIK3R1) or 2% vol/vol PI3Kγ (PIK3CG/PIK3R5) baculovirus and grown at 27 °C in ESF 921 Serum-Free Insect Cell Culture media (Expression Systems, Cat# 96–001) for 48 hrs. High five cells were harvested by centrifugation and washed with 1 x PBS [pH 7.2] and centrifuged again. Final cell pellets were resuspended in an equal volume of 1 x PBS [pH 7.2] buffer containing 10% glycerol and 2 x protease inhibitor cocktail (Sigma, Cat# P5726) before being stored in the –80 °C freezer. For protein purification, frozen cell pellets from 4 liters of cell culture were lysed by Dounce homogenization into buffer containing 50 mM Na<sub>2</sub>HPO<sub>4</sub> [pH 8.0], 10 mM imidazole, 400 mM NaCl, 5% glycerol, 2 mM PMSF, 5 mM BME, 100 µg/mL DNase, 1 x protease inhibitor cocktail (Sigma, Cat# P5726). Lysate was centrifuged at 35,000 rpm (140,000 × <italic>g</italic>) for 60 min under vacuum in a Beckman centrifuge using a Ti-45 rotor at 4 °C. Lysate was batch bound to 5 mL of HisPur Ni-NTA Superflow Agarose (Thermo Scientific, Cat #25216) resin for 90 min stirring in a beaker at 4 °C. Resin was washed with buffer containing 50 mM Na<sub>2</sub>HPO<sub>4</sub> [pH 8.0], 30 mM imidazole, 400 mM NaCl, and 5 mM BME. Protein was eluted from Ni-NTA resin with wash buffer containing 500 mM imidazole. The his6-TEV-PIK3CB/ybbr-PIK3R1 complex was then desalted on a G25 Sephadex column in buffer containing 20 mM Tris [pH 8.0], 100 mM NaCl, 1 mM DTT. Peak fractions were pooled and loaded onto a Heparin anion exchange column equilibrated in 20 mM Tris [pH 8.0], 100 mM NaCl, 1 mM DTT buffer. Proteins were resolved over a 10–100% linear gradient (0.1–1 M NaCl) at 2 mL/min flow rate over 20 min. Peak fractions were pooled and supplemented with 10% glycerol, 0.05% CHAPS, and 200 µg/mL his6-TEV(S291V) protease. The his6-TEV-PIK3CB/ybbr-PIK3R1 complex was incubated overnight at 4 °C with TEV protease to cleave off the his6 affinity tag. The TEV protease cleaved PIK3CB/ybbr-PIK3R1 complex was separated on a Superdex 200 size exclusion column (GE Healthcare, Cat# 17-5174-01) equilibrated with 20 mM Tris [pH 8.0], 150 mM NaCl, 10% glycerol, 1 mM TCEP, 0.05% CHAPS. Peak fractions were concentrated in a 50 kDa MWCO Amicon centrifuge tube and snap frozen at a final concentration of 10 µM using liquid nitrogen. This protein is referred to as PI3Kβ throughout the manuscript. The same protocol was followed to purify the various PI3Kβ mutants reported in this study.</p></sec><sec id="s4-3-2"><title>Rac1</title><p>The gene encoding human Rac1 were expressed in BL21 (DE3) bacteria as his10-SUMO3-(Gly)<sub>5</sub>-Rac1 fusion protein. Bacteria were grown at 37 °C in 4 L of Terrific Broth for 2 hrs or until OD<sub>600</sub>=0.8. Cultures were shifted to 18 °C for 1 hour and then induced with 0.1 mM IPTG. Expression was allowed to continue for 20 hr before harvesting. Cells were lysed into 50 mM Na<sub>2</sub>HPO<sub>4</sub> [pH 8.0], 400 mM NaCl, 0.4 mM BME, 1 mM PMSF, 100 μg/mL DNase using a microfluidizer. Lysate was centrifuged at 16,000 rpm (35,000 × g) for 60 min in a Beckman JA-20 rotor at 4 °C. Lysate was circulated over a 5 mL HiTrap Chelating column (GE Healthcare, Cat# 17-0409-01) loaded with CoCl<sub>2</sub>. Bound protein was eluted at a flow rate of 4 mL/min into 50 mM Na<sub>2</sub>HPO<sub>4</sub> [pH 8.0], 400 mM NaCl, 500 mM imidazole. Peak fractions were pooled and combined with SUMO protease (his6-SenP2) at a final concentration of 50 µg/mL and dialyzed against 4 liters of buffer containing 20 mM Tris [pH 8.0], 250 mM NaCl, 10% Glycerol, 1 mM MgCl<sub>2</sub>, 0.4 mM BME. Dialysate containing SUMO cleaved protein was recirculated for 2 hrs over a 5 mL HiTrap Chelating column. Flowthrough containing (Gly)<sub>5</sub>-Rac1 was concentrated in a 5 MWCO Vivaspin 20 before being loaded on a 124 mL Superdex 75 column equilibrated in 20 mM Tris [pH 8.0], 150 mM NaCl, 10% Glycerol, 1 mM TCEP, 1 mM MgCl<sub>2</sub>. Peak fractions containing (Gly)<sub>5</sub>-Rac1 were pooled and concentrated to 400–500 µM (~10 mg/mL) and snap frozen with liquid nitrogen and stored at –80 °C.</p></sec><sec id="s4-3-3"><title>Grp1 and nSH2</title><p>The gene encoding the Grp1 PH domain derived from human CYTH3 was expressed in BL21 (DE3) bacteria as a his6-MBP-N10-TEV-GGGG-Grp1 fusion protein. The gene encoding the N-terminal SH2 (nSH2, 322-440aa) domain derived from the <italic>PIK3R1</italic> gene was cloned and expressed as a his6-GST-TEV-nSH2 fusion protein. A single cysteine was encoded in the C-terminus of the nSH2 domain and Grp1 to allow for chemical labeling with maleimide dyes. For both recombinant proteins, bacteria were grown at 37 °C in 4 L of Terrific Broth for 2 hrs or until OD<sub>600</sub>=0.8 and then shifted to 18 °C for 1 hr. Cells were then induced to express either the Grp1 or nSH2 fusion by adding 0.1 mM IPTG. Cells were harvested 20 hrs post-induction. Bacteria were lysed into 50 mM Na<sub>2</sub>HPO<sub>4</sub> [pH 8.0], 400 mM NaCl, 0.4 mM BME, 1 mM PMSF, 100 μg/mL DNase using a microfluidizer. Next, lysate was centrifuged at 16,000 rpm (35,000 × g) for 60 min in a Beckman JA-20 rotor at 4 °C. Supernatant was circulated over 5 mL HiTrap chelating column (GE Healthcare, Cat# 17-0409-01) that was pre-incubated with 100 mM CoCl<sub>2</sub> for 10 min, wash with MilliQ water, and equilibrated into lysis buffer lacking PMSF and DNase. Clarified cell lysate containing his6-MBP-N10-TEV-GGGG-Grp1 was circulated over the HiTrap column and washed with 20 column volumes of 50 mM Na<sub>2</sub>HPO<sub>4</sub> [pH 8.0], 300 mM NaCl, 0.4 mM BME containing buffer. Protein was eluted with buffer containing 50 mM Na<sub>2</sub>HPO<sub>4</sub> [pH 8.0], 300 mM NaCl, and 500 mM imidazole at a flow rate of 4 mL/min. Peak HiTrap elution fractions were combined with 750 µL of 2 mg/mL TEV protease and dialyzed overnight against 4 L of buffer containing 20 mM Tris [pH 8.0], 200 mM NaCl, and 0.4 mM BME. The next day, we recirculated cleaved proteins over two HiTrap (Co<sup>+2</sup>) columns (2 × 5 mL) that were equilibrated in 50 mM Na<sub>2</sub>HPO<sub>4</sub> [pH 8.0], 300 mM NaCl, and 0.4 mM BME containing buffer for 1 hr. Proteins were concentrated using a 10 kDa MWCO Vivaspin 20 and then loaded on a 124 mL Superdex 75 column equilibrated in in 20 mM Tris [pH 8], 200 mM NaCl, 10% glycerol, and 1 mM TCEP. Proteins were eluted at a flow rate of 1 mL/min. Peak fractions containing Grp1 were pooled and concentrated to 500–600 µM (~8 mg/mL). Peak fractions containing nSH2 were pooled and concentrated to 200–250 µM (~3 mg/mL). Proteins were frozen with liquid nitrogen and stored at –80 °C.</p></sec></sec><sec id="s4-4"><title>P-Rex1 (DH-PH) domain</title><p>The DH-PH domain of human P-Rex1 was expressed as a fusion protein, his6-MBP-N10-TEV-PRex1(40-405aa), in BL21(DE3) Star bacteria. Bacteria were grown at 37 °C in 2 L of Terrific Broth for 2 hrs or until OD<sub>600</sub>=0.8. Cultures were shifted to 18 °C for 1 hr then induced with 0.1 mM IPTG. Expression was allowed to continue for 20 hrs before harvesting. Cells were lysed into buffer containing 50 mM NaHPO4 [pH 8.0], 400 mM NaCl, 5% glycerol, 1 mM PMSF, 0.4 mM BME, 100 μg/mL DNase using microtip sonication. Cell lysate was clarified by centrifugation at 16,000 rpm (35,000 × g) for 60 min in a Beckman JA-20 rotor at 4 °C. To capture his<sub>6</sub>-MBP-N10-TEV-PRex1, cell lysate was circulated over a 5 mL HiTrap Chelating column (GE Healthcare, Cat# 17-0409-01) charged CoCl<sub>2</sub>. The column was washed with 100 mL of 50 mM NaHPO4 [pH 8.0], 400 mM NaCl, 5% glycerol, 0.4 mM BME buffer. Protein was eluted into 15 mL with buffer containing 50 mM NaHPO4 [pH 8.0], 400 mM NaCl, 500 mM imidazole, 5% glycerol, 0.4 mM BME. Peak fractions were pooled and combined with his6-TEV protease and dialyzed against 4 liters of buffer containing 50 mM NaHPO4 [pH 8.0], 400 mM NaCl, 5% glycerol, 0.4 mM BME. The next day, dialysate containing TEV protease cleaved protein was recirculated for 2 hrs over a 5 mL HiTrapchelating column. Flowthrough containing P-Rex1 (40-405aa) was desalted into 20 mM Tris [pH 8.0], 50 mM NaCl, 1 mM DTT using a G25 Sephadex column. Note that some of the protein precipitated during the desalting step. Desalted protein was clarified using centrifugation and 0.22 µm syringe filter. P-Rex1(40-405aa, pI = 8.68) was further purified by cation exchange chromatography (i.e. MonoS) using a 20 mM Tris [pH 8.0], 1 mM DTT, and 0.05 to 1 M NaCl gradient. P-Rex1(40-405aa) bound eluted broadly in the presence of 100–260 mM NaCl. Pure fractions as determined by SDS-PAGE were pooled, spin concentrated, and loaded onto a 120 mL Superdex 75 column equilibrated in 20 mM Tris [pH 8], 150 mM NaCl, 10% glycerol, 1 mM TCEP. Peak fractions containing P-Rex1(40-405aa) were pooled and concentrated to a concentration of 114 µM, aliquoted, frozen with liquid nitrogen, and stored at –80 °C.</p><sec id="s4-4-1"><title>Btk</title><p>The mutant BtkPI(3,4,5)P<sub>3</sub> fluorescent biosensor was recombinantly expressed in BL21 Star <italic>E. coli</italic> as a his6-SUMO-Btk(1-171aa PH-TH domain; R49S/K52S)-SNAP fusion. Bacteria were grown at 37 °C in Terrific Broth to an OD<sub>600</sub>=0.8. These cultures were then shifted to 18 °C for 1 hr, induced with 0.1 mM IPTG, and allowed to express protein for 20 hrs at 18 °C before being harvested. Cells were lysed into 50 mM NaPO<sub>4</sub> (pH 8.0), 400 mM NaCl, 0.5 mM BME, 10 mM Imidazole, and 5% glycerol. Lysate was then centrifuged at 16,000 rpm (35,172 × <italic>g</italic>) for 60 min in a Beckman JA-20 rotor chilled to 4 °C. Lysate was circulated over 5 mL HiTrap Chelating column (GE Healthcare, Cat# 17-0409-01) charged with 100 mM CoCl<sub>2</sub> for 2 hrs. Bound protein was then eluted with a linear gradient of imidazole (0–500 mM, 8 CV, 40 mL total, 2 mL/min flow rate). Peak fractions were pooled, combined with SUMO protease Ulp1 (50 µg/mL final concentration), and dialyzed against 4 L of buffer containing 20 mM Tris [pH 8.0], 200 mM NaCl, and 0.5 mM BME for 16–18 hrs at 4 °C. SUMO protease cleaved Btk was recirculated for 1 hr over a 5 mL HiTrap Chelating column. Flow-through containing Btk-SNAP was then concentrated in a 5 kDa MWCO Vivaspin 20 before being loaded on a Superdex 75 size-exclusion column equilibrated in 20 mM Tris [pH 8.0], 200 mM NaCl, 10% glycerol, 1 mM TCEP. Peak fractions containing Btk-SNAP were pooled and concentrated to a concentration of 30 µM before snap-freezing with liquid nitrogen and storage at –80 °C. For labeling, Btk-SNAP was combined with a 1.5 x molar excess of SNAP-Surface Alexa488 dye (NEB, Cat# S9129S) and incubated overnight at 4 °C. The next day, Btk-SNAP-AF488 was desalted into buffer containing 20 mM Tris [pH 8.0], 200 mM NaCl, 10% glycerol, 1 mM TCEP using a PD10 column. The protein was then spin concentrated using a Amicon filter and loaded onto a Superdex 75 column to isolate dye free monodispersed Btk-SNAP-AF488. The peak elution was pooled, concentrated, aliquoted, and flash frozen with liquid nitrogen.</p></sec><sec id="s4-4-2"><title>p67/phox</title><p>Genes encoding the Rac1(GTP) biosensor, p67/phox, were cloned into a plasmid as his10-TEV-SUMO-p67/phox fusion proteins and expressed in Rosetta2 (DE3) pLysS bacteria. Bacteria were grown in 3 L of Terrific Broth 37 °C for 2 hrs or until OD<sub>600</sub>=0.8 before shifting temperature to 18 °C for 1 hr. Protein expression was induced by adding 50 µM IPTG. Cells expressed overnight for 20 hrs at 18 °C before harvesting. We lysted cells into buffer containing 50 mM Na<sub>2</sub>HPO<sub>4</sub> [pH 8.0], 400 mM NaCl, 0.4 mM BME, 1 mM PMSF, and 100 μg/mL DNase using a microfluidizer. The lysate was centrifuged at 16,000 rpm (35,000 × g) for 60 min in a Beckman JA-20 rotor at 4 °C. Supernatant was then circulated over 5 mL HiTrap Chelating column (GE Healthcare, Cat# 17-0409-01) load with 100 mM CoCl<sub>2</sub> for 10 min. The HiTrap column was washed with 20 column volumes (100 mL) of 50 mM Na<sub>2</sub>HPO<sub>4</sub> [pH 8.0], 400 mM NaCl, 10 mM imidazole, and 0.4 mM BME containing buffer. Bound protein was eluted at a flow rate of 4 mL/min with 15–20 mL of 50 mM Na<sub>2</sub>HPO<sub>4</sub> [pH 8.0], 400 mM NaCl, and 500 mM imidazole-containing buffer. Peak fractions were pooled and combined with his6-SenP2 (SUMO protease) at a final concentration of 50 µg/mL and dialyzed against 4 liters of buffer containing 25 mM Tris [pH 8.0], 400 mM NaCl, and 0.4 mM BME. Dialysate containing SUMO cleaved protein was recirculated for 2 hrs over two 5 mL HiTrap Chelating (Co<sup>2+</sup>) columns that were equilibrated in buffer containing 25 mM Tris [pH 8.0], 400 mM NaCl, and 0.4 mM BME. Recirculated protein was concentrated to a volume of 5 mL using a 5 kDa MWCO Vivaspin 20 before loading on a 124 mL Superdex 75 column at a flow rate of 1 mL/min. The column was equilibrated in buffer containing 20 mM HEPES [pH 7], 200 mM NaCl, 10% glycerol, and 1 mM TCEP. Peak fractions off the Superdex 75 column were concentrated in a 5 kDa MWCO Vivaspin 20 to a concentration between 200–500 µM (5–12 mg/mL). Protein was frozen with liquid nitrogen and stored at –80 °C.</p></sec></sec><sec id="s4-5"><title>Farnesylated G<sub>β1</sub>Gγ<sub>2</sub> and SNAP-G<sub>β1</sub>Gγ<sub>2</sub></title><p>The native eukaryotic farnesyl Gβ<sub>1</sub>/Gγ<sub>2</sub> and SNAP-Gβ<sub>1</sub>/Gγ<sub>2</sub> complexes were expressed and purified from insect cells as previously described (<xref ref-type="bibr" rid="bib65">Rathinaswamy et al., 2021</xref>; <xref ref-type="bibr" rid="bib50">Kozasa and Gilman, 1995</xref>; <xref ref-type="bibr" rid="bib17">Dbouk et al., 2012</xref>). The Gβ<sub>1</sub> and Gγ<sub>2</sub> genes were cloned into dual expression vectors containing tandem polyhedron promoters. A single baculovirus expressing either Gβ<sub>1</sub>/his<sub>6</sub>-TEV-Gγ<sub>2</sub> or SNAP-Gβ<sub>1</sub>/his6-TEV-Gγ<sub>2</sub> were used to infect 2–4 liters of High Five cells (2 × 10<sup>6</sup> cells/mL) with 2% vol/vol of baculovirus. Cultures were then grown in shaker flasks (120 rpm) for 48 hr at 27 °C before harvesting cells by centrifugation. Insect cells pellets were stored as 10 g pellets in the –80 °C before purification. To isolate farnesylated Gβ<sub>1</sub>/his<sub>6</sub>-TEV-Gγ<sub>2</sub> or SNAP-Gβ<sub>1</sub>/his6-TEV-Gγ<sub>2</sub> complexes, insect cells were lysed by microtip sonication in buffer containing 50 mM HEPES-NaOH [pH 8], 100 mM NaCl, 3 mM MgCl<sub>2</sub>, 0.1 mM EDTA, 10 µM GDP, 10 mM BME, Sigma PI tablets (Cat #P5726), 1 mM PMSF, DNase (GoldBio, Cat# D-303–1). Homogenized cell lysate was centrifuged for 10 min at 800 × <italic>g</italic> to remove nuclei and whole cell debris. The supernatant was then centrifuged for 30 min at 4ºC in a Beckman Ti45 rotor at 100,000 × <italic>g</italic>. The post-centrifugation pellet containing plasma membranes was resuspended in a buffer containing 50 mM HEPES-NaOH [pH 8], 50 mM NaCl, 3 mM MgCl<sub>2</sub>, 1% sodium deoxycholate (wt/vol, Sigma D6750), 10 µM GDP (Sigma, cat# G7127), 10 mM BME, and a Sigma Protease Inhibitor tablet (Cat #P5726) to a concentration of 5 mg/mL total protein. A dounce homogenizer was then used to homogenize membranes in the detergent containing buffer. The homogenized solution was then allowed to stir for 1 hr at 4 °C. The solubilized extracted membrane solution was then centrifuged in a Beckman Ti45 rotor 100,000 × <italic>g</italic> for 45 min at 4 °C. The supernatant containing solubilized Gβ<sub>1</sub>/his<sub>6</sub>-TEV-Gγ<sub>2</sub> or SNAP-Gβ<sub>1</sub>/his6-TEV-Gγ<sub>2</sub> was diluted into buffer containing 20 mM HEPES-NaOH [pH 7.7], 100 mM NaCl, 0.1% C<sub>12</sub>E<sub>10</sub> (Polyoxyethylene (10) lauryl ether; Sigma, P9769), 25 mM imidazole, and 2 mM BME.</p><p>Soluble membrane extracted Gβ<sub>1</sub>/his<sub>6</sub>-TEV-Gγ<sub>2</sub> or SNAP-Gβ<sub>1</sub>/his6-TEV-Gγ<sub>2</sub> was purified by affinity chromagraphy using HisPur Ni-NTA Superflow Agarose (Thermo Scientific, Cat #25216). After adding Ni-NTA resin to the diluted solubilized extracted membrane solution, the resin and membrane solubilized protein was allowed to stir in a beaker at 4 °C for 2 hrs. The protein-bound resin beads were then packed into a gravity flow column and washed with 20 column volumes of buffer containing 20 mM HEPES-NaOH [pH 7.7], 100 mM NaCl, 0.1% C<sub>12</sub>E<sub>10</sub>, 20 mM imidazole, and 2 mM BME. To dissociate the bound G alpha subunit from the Gβ<sub>1</sub>/Gγ<sub>2</sub> complex, the resin was washed with warm buffer (30 °C) containing 20 mM HEPES-NaOH [pH 7.7], 100 mM NaCl, 0.1% C<sub>12</sub>E<sub>10</sub>, 20 mM imidazole, 2 mM BME, 50 mM MgCl<sub>2</sub>, 10 µM GDP, 30 µM AlCl<sub>3</sub> (J.T. Baker 5–0660), and 10 mM NaF. Finally, the Gβ<sub>1</sub>/his<sub>6</sub>-TEV-Gγ<sub>2</sub> or SNAP-Gβ<sub>1</sub>/his6-TEV-Gγ<sub>2</sub> was eluted from the NiNTA resin with buffer containing 20 mM Tris-HCl (pH 8.0), 25 mM NaCl, 0.1% C<sub>12</sub>E<sub>10</sub>, 200 mM imidazole, and 2 mM BME. The eluted protein was incubated overnight at 4 °C with TEV protease to cleave off the his6 affinity tag.</p><p>The next day, the cleaved protein was desalted on a G25 Sephadex column into buffer containing 20 mM Tris-HCl [pH 8.0], 25 mM NaCl, 8 mM CHAPS, and 2 mM TCEP. Buffer exchanged protein was loaded on an anion exchange chromatography column (i.e. MonoQ) and eluted in the presence of 175-200 mM NaCl. Peak-containing fractions were combined and concentrated using a Millipore Amicon Ultra-4 (10 kDa MWCO) centrifuge filter. Concentrated samples of Gβ<sub>1</sub>/Gγ<sub>2</sub> or SNAP-Gβ<sub>1</sub>/Gγ<sub>2</sub>, respectively, were loaded on either Superdex 75 or Superdex 200 gel filtration columns equilibrated 20 mM Tris [pH 8.0], 100 mM NaCl, 8 mM CHAPS, and 2 mM TCEP. Peak fractions were combined and concentrated in a Millipore Amicon Ultra-4 (10 kDa MWCO) centrifuge tube. Finally, Gβ<sub>1</sub>/Gγ<sub>2</sub> and SNAP-Gβ<sub>1</sub>/Gγ<sub>2</sub> were aliquoted and flash frozen with liquid nitrogen before storing at –80 °C.</p></sec><sec id="s4-6"><title>Fluorescent labeling of SNAP-Gβ<sub>1</sub>/Gγ<sub>2</sub></title><p>To fluorescently label SNAP-Gβ<sub>1</sub>/Gγ<sub>2</sub>, the protein complex was combined with 1.5 x molar excess of SNAP-Surface Alexa488 dye (NEB, Cat# S9129S). SNAP dye labeling was performed in buffer containing 20 mM Tris [pH 8.0], 100 mM NaCl, 8 mM CHAPS, and 2 mM TCEP overnight at 4 °C. Labeled protein was then separated from free Alexa488-SNAP surface dye using a 10 kDa MWCO Amicon spin concentrator followed by size exclusion chromatography (Superdex 75 10/300 GL) in buffer containing 20 mM Tris [pH 8.0], 100 mM NaCl, 8 mM CHAPS, 1 mM TCEP. Peak SEC fractions containing Alexa488-SNAP-Gβ<sub>1</sub>/Gγ<sub>2</sub> were pooled and centrifuged in a 10 kDa MWCO Amicon spin concentrator to reach a final concentration of 15–20 µM before snap freezing in liquid nitrogen and storiage in the –80 °C. To calculate the SNAP dye labeling efficiency, we determined that Alexa488 contributes 11% of the peak A<sub>494</sub> signal to the measured A<sub>280</sub>. Note that Alexa488 non-intuitively has a peak absorbance at 494 nm. The final concentration of Alexa488-SNAP-Gβ<sub>1</sub>/Gγ<sub>2</sub> was calculated after adjusting the A<sub>280</sub> (i.e. A<sub>280(protein)</sub> = A<sub>280(observed)</sub> – A<sub>494(dye)</sub>*0.11) and using the following extinction coefficients: ε<sub>280(SNAP-Gβ1/Gγ2)</sub>=78,380 M<sup>–1</sup>×cm<sup>–1</sup>, ε<sub>494(Alexa488)</sub> = 71,000 M<sup>–1</sup>×cm<sup>–1</sup>.</p></sec><sec id="s4-7"><title>Fluorescent labeling of PI3K using Sfp transferase</title><p>As previously described (<xref ref-type="bibr" rid="bib65">Rathinaswamy et al., 2021</xref>), Dyomics647-CoA was created by incubating a mixture of 15 mM Dyomics647 maleimide (Dyomics, Cat #647P1-03) in DMSO with 10 mM CoA (Sigma, #C3019, MW = 785.33 g/mole) overnight at 23 °C. To quench excess unreacted Dyomics647 maleimide, 5 mM DTT was added to the reaction mixture. Fluorescent labeling of purified PIK3CB/ybbr-PIK3R1 (referred to as PI3Kβ or p110β-p85α in manuscript) was achieved by mixing Dyomics647-CoA and Sfp-his<sub>6.</sub> The ybbrR13 motif fused to PIK3R1 contained the following peptide sequence: D<underline>S</underline>LEFIASKLA (<xref ref-type="bibr" rid="bib84">Yin et al., 2006</xref>). In a total reaction volume of 2 mL, a combination of 5 µM PI3Kβ, 4 µM Sfp-his<sub>6</sub>, and 10 µM DY647-CoA was mixed in buffer containing 20 mM Tris [pH 8], 150 mM NaCl, 10 mM MgCl<sub>2</sub>, 10% Glycerol, 1 mM TCEP, and 0.05% CHAPS. The ybbr labeling reaction was allowed to proceed for 4 hrs on ice. Excess Dyomics647-CoA was removed using a gravity flow PD-10 desalting column. Fluorescently labeled Dy647-PI3Kβ was spin concentrated in a 50 kDa MWCO Amicon centrifuge tube before loading on a Superdex 200 gel filtration column equilibrated in 20 mM Tris [pH 8], 150 mM NaCl, 10% glycerol, 1 mM TCEP, and 0.05% CHAPS (GoldBio, Cat# C-080–100). Peak fractions were pooled and concentrated to 5–10 µM before being aliquoted and flash frozen with liquid nitrogen. The final Dy647-PI3Kβ was stored at –80 °C.</p></sec><sec id="s4-8"><title>Preparation of supported lipid bilayers</title><p>Small unilamellar vesicles (SUVs) were generated using the following lipids: 1,2-dioleoyl-sn-glycero-3-phosphocholine (18:1 DOPC, Avanti #850375C), 1,2-dioleoyl-<italic>sn-</italic>glycero-3-phospho-L-serine (18:1 DOPS, Avanti #840035C), 1,2-dioleoyl-sn-glycero-3-phosphoethanolamine (18:1 (Δ9-Cis) DOPE, Avanti # 850725C), L-α-phosphatidylinositol-4,5-bisphosphate (Brain PI(4,5)P<sub>2</sub>, Avanti #840046X), synthetic phosphatidylinositol 4,5-bisphosphate 18:0/20:4 (PI(4,5)P<sub>2</sub>, Echelon, P-4524), and 1,2-dioleoyl-sn-glycero-3-phosphoethanolamine-N-[4-(p-maleimidomethyl)cyclohexane-carboxamide] (18:1 MCC-PE, Avanti #780201C). All lipid mixtures are based on percentages that are equivalent to molar fractions. Each lipid mixture contained 2 µmoles of total lipids combined with 2 mL of chloroform in a 35 mL glass round bottom flask containing. This mixture was dried to a thin film using rotary evaporation in a glass round-bottom flask incubated in a 42 °C water bath. Following the chloroform roto-evaporation, the lipid-containing flask was flushed with nitrogen gas or placed in a vacuum desiccator for at least 30 min. A final solution concentration of 1 mM lipids was achieved by resuspending the dried film in 2 mL of 1 x PBS [pH 7.2]. Extrusion of the 1 mM lipid mixture through a 0.03 µm pore size 19 mm polycarbonate membrane (Avanti #610002) with filter supports (Avanti #610014) on both sides of the PC membrane was used to generate 30–50 nm SUVs. Prior to creating SLBs, coverglass (25 x 75 mm, IBIDI, cat #10812) was cleaned in a warm (60–70°C) solution of 2% Hellmanex III (Fisher, Cat#14-385-864) in a glass coplin jar. After 30 min in warm 2% Hellmanex III , coverglass was rinsed at least 7 times with MilliQ water. The cleaned glass was then etched with Piranha solution (1:3, hydrogen peroxide:sulfuric acid) for 5–10 min. Etched glass was then rinsed with a copious volume of MilliQ water and then stored in the glass coplin jar containing MilliQ water. To adhere the Piranha etched coverglass to a 6-well sticky-side chamber (IBIDI, Cat# 80608), individual coverglass were rapidly dried with a stream of nitrogen gas. SLBs were created by flowing 100-150 µL of SUVs with a total lipid concentration of 0.25 mM in 1 x PBS [pH 7.2] into the IBIDI chamber. Following 30 min of incubation, supported membranes were washed with 4 mL of 1 x PBS [pH 7.2] to remove non-absorbed SUVs. To block the membrane defects, a 10 mg/mL beta casein solution (ThermoFisherSci, Cat# 37528) was clarified by centrifugation at 4 °C for 30 min at 21,370 x <italic>g</italic> and then passed through a 0.22 µm PES syringe filter (Foxx Life Sciences, Cat#381–2116-OEM). Membrane defects were blocked by incubation with 1 mg/mL beta casein for 5-10 minutes.</p><p>When reconstituting amphiphilic molecules (i.e. lipids) in aqueous solution a variety of structures can form based on the lipid composition, including micelles, inverted micelles, and planar bilayers (<xref ref-type="bibr" rid="bib51">Kulkarni, 2019</xref>). The organization of these membrane structures is related to the molecular packing parameter of the individual phospholipids (<xref ref-type="bibr" rid="bib41">Israelachvili et al., 1976</xref>). The packing parameter (<inline-formula><mml:math id="inf1"><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mrow><mml:mrow><mml:mi>v</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mi>a</mml:mi><mml:mo>•</mml:mo><mml:msub><mml:mrow><mml:mi>l</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math></inline-formula>) depends on the volume of the hydrocarbon (<inline-formula><mml:math id="inf2"><mml:mi>v</mml:mi></mml:math></inline-formula>), area of the lipid head group (<inline-formula><mml:math id="inf3"><mml:mi>a</mml:mi></mml:math></inline-formula>), and the lipid tail length (<inline-formula><mml:math id="inf4"><mml:msub><mml:mrow><mml:mi>l</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula>). When generating supported lipid bilayers on a flat two-dimensional glass surface, this study sought to create fluid lamellar membranes. Using phosphatidylcholine (PC) lipids was ideal for making supported lipid bilayers because they have a packing parameter of ~1 (<xref ref-type="bibr" rid="bib15">Costigan et al., 2000</xref>). In other words, PC lipids are cylindrical like a paper towel roll. In contrast, cholesterol and phosphatidylethanolamine (PE) lipids have packing parameters of 1.22 and 1.11, respectively (<xref ref-type="bibr" rid="bib1">Angelov et al., 1999</xref>; <xref ref-type="bibr" rid="bib10">Carnie et al., 1979</xref>). This gives cholesterol and PE lipids an inverted truncated cone shape, which prefers to adopt a non-lamellar phase structure when present at high concentrations. Due to the intrinsic negative curvature of PE lipids, they can spontaneously form inverted micelles (i.e. hexagonal II phase) in aqueous solution when they are the predominant lipid species (<xref ref-type="bibr" rid="bib42">Israelachvili et al., 1980</xref>; <xref ref-type="bibr" rid="bib49">Kobierski et al., 2022</xref>; <xref ref-type="bibr" rid="bib81">Wnętrzak et al., 2013</xref>). In this study, incorporation of PE lipids dramatically reduced the protein-maleimide coupling efficiency, increased membrane defects, and resulted in a larger fraction of surface immobilized Dy647-PI3Kβ. This could be related to the intrinsic negative curvature of PE membranes. However, further investigation is needed to decipher these issues.</p></sec><sec id="s4-9"><title>Protein conjugation of maleimide lipid</title><p>After blocking SLBs with beta-casein, membranes were washed with 2 mL of 1 x PBS and stored at room temperature for up to 2 hrs before mounting on the TIRF microscope. Prior to single molecule imaging experiments, supported membranes were washed into TIRF imaging buffer. Supported membranes containing MCC-PE lipids were used to covalently couple either Rac1(GDP) or the phosphotyrosine peptide (pY). For the pY peptide experiments we used a doubly phosphorylated peptide derived from the mouse platelet derived growth factor receptor (PDGFR) with the following sequence: CSDGG(pY)MDMSKDESID(pY)VPMLDMKGDIKYADIE (33aa). The Alexa488-pY contained the same sequence with the dye conjugated to the C-terminus of the peptide. The peptides were synthesized to &gt;95% purity by ELIM Biopharmaceuticals (Hayward, CA.). For these SLBs, 100 µL of 30 µM Rac1 was diluted in a 1 x PBS [pH 7.2] and 0.1 mM TCEP buffer was added to the IBIDI chamber and incubated for 2 hrs at 23 °C. Importantly, the addition of 0.1 mM TCEP significantly increased the coupling efficiency. SLBs with MCC-PE lipids were then washed with 2 mL of 1 x PBS [pH 7.2] containing 5 mM beta-mercaptoethanol (BME) and incubated for 15 min to neutralize the unreacted maleimide headgroups. SLBs were washed with 1 mL of 1 x PBS, followed by 1 mL of kinase buffer before starting smTIRF-M experiments.</p></sec><sec id="s4-10"><title>Nucleotide exchange of Rac1</title><p>Membrane conjugated Rac1(GDP) was converted to Rac1(GTP) using either chemical activation (i.e. EDTA/GTP/MgCl<sub>2</sub>) or the guanine nucleotide exchange factor (GEF), P-Rex1 (DH-PH domain). Chemical activation was accomplished by washing supported membranes containing maleimide linked Rac1(GDP) with 1 x PBS [pH 7.2] containing 1 mM EDTA and 1 mM GTP. Following a 15 min incubation to exchange GDP for GTP, chambers were washed 1 x PBS [pH 7.2] containing 1 mM MgCl<sub>2</sub> and 50 µM GTP. A complementary approach that utilizes GEF-mediated activation of Rac1 was achieved by flowing 50 nM P-Rex1 (DH-PH domain) over Rac1(GDP) conjugated membranes (<xref ref-type="fig" rid="fig1">Figure 1C</xref>). Nucleotide exchange was carried out in buffer containing 1 x PBS, 1 mM MgCl<sub>2</sub>, 50 µM GTP. Both methods of activation yielded the same density of active Rac1(GTP). Nucleotide exchange of membrane-tethered Rac1 was assessed by visualizing the localization of the Cy3-p67/phox Rac1(GTP) sensor using TIRF-M.</p></sec><sec id="s4-11"><title>Single molecule TIRF microscopy</title><p>All supported membrane TIRF-M experiments were performed in buffer containing 20 mM HEPES [pH 7.0], 150 mM NaCl, 1 mM ATP, 5 mM MgCl<sub>2</sub>, 0.5 mM EGTA, 20 mM glucose, 200 µg/mL beta casein (Thermo Scientific, Cat# 37528), 20 mM BME, 320 µg/mL glucose oxidase (Biophoretics, Cat #B01357.02 <italic>Aspergillus niger</italic>), 50 µg/mL catalase (Sigma, #C40-100MG Bovine Liver), and 2 mM Trolox (Cayman Chemicals, Cat#10011659). Perishable reagents (i.e. glucose oxidase, catalase, and Trolox) were added 5–10 min before image acquisition.</p></sec><sec id="s4-12"><title>Microscope hardware and imaging acquisition</title><p>Single molecule imaging experiments were performed at room temperature (23 °C) using an inverted Nikon Ti2 microscope using a 100 x oil immersion Nikon TIRF objective (1.49 NA). The x-axis and y-axis positions were controlled using a Nikon motorized stage, joystick, and Nikon’s NIS element software. Fluorescently labeled proteins were excited with one of three diode lasers: a 488 nm, a 561 nm, or 642 nm (OBIS laser diode, Coherent Inc, Santa Clara, CA). The lasers were controlled with a Vortran laser launch and acousto-optic tuneable filters (AOTF) control. Excitation and emission light was transmitted through a multi-bandpass quad filter cube (C-TIRF ULTRA HI S/N QUAD 405/488/561/642; Semrock) containing a dichroic mirror. The laser power measured through the objective for single particle visualized was 1–3 mW. Fluorescence emission was captured on an iXon Life 897 EMCCD camera (Andor Technology Ltd., UK) after passing through one of the following 25 mm a Nikon Ti2 emission filters mounted in a Nikon emission filter wheel: ET525/50M, ET600/50M, and ET700/75M (Semrock).</p></sec><sec id="s4-13"><title>Kinetic measurements of PI(3,4,5)P<sub>3</sub> lipid production</title><p>The production of PI(3,4,5)P<sub>3</sub> was measured on SLBs in the presence of 20 nM Btk-SNAP-AF488 and visualized using TIRF microscopy. The reaction buffer for lipid phosphorylation reactions contained 20 mM HEPES (pH 7.0), 150 mM NaCl, 5 mM MgCl<sub>2</sub>, 1 mM ATP, 0.1 mM GTP, 0.5 mM EGTA, 20 mM glucose, 200 µg/mL beta-casein (Thermo Scientific, Cat#37528), 20 mM BME, 320 µg/mL glucose oxidase (Serva, #22780.01 <italic>Aspergillus niger</italic>), 50 µg/mL catalase (Sigma, #C40-100MG Bovine Liver), and 2 mM Trolox (Cayman Chemicals, Cat#10011659). Approximately 5–10 min before image acquisition, chemicals and enzymes needed for the oxygen scavenging system were added to the TIRF imaging buffer. For experiments where inactive GTPases were coupled to membranes, 0.1 mM GTP was replaced with 0.1 mM GDP. For ATP spike-in experiments, 1 mM ATP was omitted from the TIRF imaging buffer and then added as a 100 mM ATP solution using the volume needed to reach a final concentration of 1 mM ATP.</p><p>The concentration of the Btk lipid sensor used for the kinetic assays does not interfere with the kinase activity. By comparing the membrane surface intensity of Btk-SNAP-AF488 measured by TIRF microscopy in the presence of both 20 nM and near-saturating micromolar concentrations, we estimate that &lt;0.1% of the PIP lipids are bound to a lipid sensor at any point during the kinetic experiments. Assuming an average footprint of 0.72 nm<sup>2</sup> for phosphatidylcholine (<xref ref-type="bibr" rid="bib10">Carnie et al., 1979</xref>; <xref ref-type="bibr" rid="bib33">Hansen et al., 2019</xref>), supported membranes that contained an initial concentrations of 2% PI(4,5)P<sub>2</sub> had a membrane surface density of 2.8 × 10<sup>4</sup> PI(4,5)P<sub>2</sub> lipids/μm<sup>2</sup> at the end of the kinase reaction. The plateau fluorescence intensity of the Btk-SNAP-AF488 sensor was considered to be equivalent to the production of 2% PI(3,4,5)P<sub>3</sub> when membranes contained an initial concentration of 2% PI(4,5)P<sub>2</sub>. The bulk membrane intensity of Btk-SNAP-AF488 was normalized from 0 to 1, and multiplied by the total density of PI(3,4,5)P<sub>3</sub> lipids to generate kinetic traces that report the kinetics of PI(3,4,5)P<sub>3</sub> production.</p><p>When performing these lipid kinase assays, it is critical to simultaneously visualize the localization of Btk-SNAP-AF488 and Dy647-PI3Kβ. Poor quality supported membranes can artificially enhance PI3Kβ activity due to non-specific surface absorption of the kinase. When experiments displayed immobilized Dy647-PI3Kβ molecules, the data was omitted from analysis and experiments were repeated.</p></sec><sec id="s4-14"><title>Surface density calibration</title><p>The density of membrane-tethered proteins attached to supported lipid bilayers was determined by coupling a defined ratio of either fluorescently labeled Cy3-Rac1 (1:10,000) or Alexa488-pY (1:30,000) in the presence of either 30 µM Rac1 or 10 µM pY, respectively. The membrane surface density of GβGγ was quantified at equilibrium using a combination of AF488-SNAP-GβGγ (bulk signal) and dilute AF555-SNAP-GβGγ (0.0025%; 1:40,000), which allowed fluorescent proteins to be resolved and the single molecule density quantified. Single molecule densities of fluorescently labeled pY, Rac1, and GβGγ were estimated using the ImageJ/Fiji Trackmake Plugin. The total surface density was calculated based on the dilution factor in the presence of dark unlabeled protein (e.g. Rac1(GTP), pY, or SNAP-GβGγ).</p></sec><sec id="s4-15"><title>Alphafold2 multimer modeling</title><p>AlphaFold2 multimer modeling was used through the Mmseqs2 notebook of ColabFold (<xref ref-type="bibr" rid="bib59">Mirdita et al., 2022</xref>) to make structural predictions of PI3Kβ (p110β/p85α) bound to Gβγ. The pLDDT confidence values consistently scored above 90% for all models, with the predicted aligned error and pLDDT scores for all models are shown in <xref ref-type="fig" rid="fig3s2">Figure 3—figure supplement 2</xref>.</p></sec><sec id="s4-16"><title>Single particle tracking</title><p>Single fluorescent Dy647-PI3Kβ complexes bound to supported lipid bilayers were identified and tracked using the ImageJ/Fiji TrackMate plugin (<xref ref-type="bibr" rid="bib43">Jaqaman et al., 2008</xref>). Data was loaded into ImageJ/Fiji as.nd2 files. Using the LoG detector, fluorescent particles were identified based on their size (~6 pixel diameter), brightness, and signal-to-noise ratio. The LAP tracker was used to generate trajectories that followed particle displacement as a function of time. Particle trajectories were then filtered based on Track Start (remove particles at start of movie), Track End (remove particles at end of movie), Duration (particles track ≥2 frames), Track displacement, and X - Y location (removed particles near the edge of the movie). The output files from TrackMate were then analyzed using Prism 9 graphing software to calculate the dwell times. To calculate the dwell times of membrane-bound proteins we generated cumulative distribution frequency (CDF) plots with the bin size set to image acquisition frame interval (e.g. 52 ms). The log<sub>10</sub>(1-CDF) was plotted as a function dwell time and fit to a single or double exponential curve. For the double exponential curve fits, the alpha value is the percentage of the fast-dissociating molecules characterized by the time constant, τ<sub>1</sub>. A typical data set contained dwell times measured for n≥1000 trajectories repeated as n=3 technical replicates.</p><p>Single exponential curve fit:<disp-formula id="equ1"><mml:math id="m1"><mml:mi>f</mml:mi><mml:mfenced separators="|"><mml:mrow><mml:mi>x</mml:mi></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mrow><mml:mo>-</mml:mo><mml:mi>x</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow><mml:mi>τ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:mrow></mml:msup></mml:math></disp-formula></p><p>Two exponential curve fit:<disp-formula id="equ2"><mml:math id="m2"><mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>f</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mi>α</mml:mi><mml:mo>∗</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mo>−</mml:mo><mml:mi>x</mml:mi><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:mi>τ</mml:mi><mml:mn>1</mml:mn></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msup><mml:mo>+</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>−</mml:mo><mml:mi>α</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>∗</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mo>−</mml:mo><mml:mi>x</mml:mi><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:mi>τ</mml:mi><mml:mn>2</mml:mn></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msup></mml:mstyle></mml:mrow></mml:math></disp-formula></p><p>To calculate the diffusion coefficient (µm<sup>2</sup>/s), the probability density was plotted (i.e. frequency divided by bin size of 0.01 µm) versus step size (µm). The step size distribution was fit to the following models:</p><p>Single species model:<disp-formula id="equ3"><mml:math id="m3"><mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>f</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>r</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mfrac><mml:mi>r</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mi>D</mml:mi><mml:mi>τ</mml:mi></mml:mrow></mml:mfrac><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>−</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mfrac><mml:msup><mml:mi>r</mml:mi><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mrow><mml:mn>4</mml:mn><mml:mi>D</mml:mi><mml:mi>τ</mml:mi></mml:mrow></mml:mfrac><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msup></mml:mstyle></mml:mrow></mml:math></disp-formula></p><p>Two species model:<disp-formula id="equ4"><mml:math id="m4"><mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>f</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>r</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mi>α</mml:mi><mml:mfrac><mml:mi>r</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mi>τ</mml:mi></mml:mrow></mml:mfrac><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>−</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mfrac><mml:msup><mml:mi>r</mml:mi><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mrow><mml:mn>4</mml:mn><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mi>τ</mml:mi></mml:mrow></mml:mfrac><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msup><mml:mo>+</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>−</mml:mo><mml:mi>α</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mfrac><mml:mi>r</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mi>τ</mml:mi></mml:mrow></mml:mfrac><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>−</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mfrac><mml:msup><mml:mi>r</mml:mi><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mrow><mml:mn>4</mml:mn><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mi>τ</mml:mi></mml:mrow></mml:mfrac><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msup></mml:mstyle></mml:mrow></mml:math></disp-formula></p></sec><sec id="s4-17"><title>Image processing, statistics, and data analysis</title><p>Image analysis was performed on ImageJ/Fiji and MatLab. Curve fitting was performed using Prism 9 GraphPad. The X-fold change in dwell time reported in the main text was calculated by comparing the mean single particle dwell time for different experimental conditions. Note that this is different from directly comparing the calculated dwell time (or exponential decay time constant, τ<sub>1</sub>). The X% reduction in diffusion or mobility we report in the main text was calculated by comparing the mean single particle displacement (or step size) measured under different experimental conditions.</p></sec></sec></body><back><sec sec-type="additional-information" id="s5"><title>Additional information</title><fn-group content-type="competing-interest"><title>Competing interests</title><fn fn-type="COI-statement" id="conf1"><p>No competing interests declared</p></fn></fn-group><fn-group content-type="author-contribution"><title>Author contributions</title><fn fn-type="con" id="con1"><p>Conceptualization, Resources, Data curation, Formal analysis, Validation, Investigation, Visualization, Methodology, Writing – review and editing</p></fn><fn fn-type="con" id="con2"><p>Conceptualization, Resources, Data curation, Formal analysis, Validation, Investigation, Visualization, Methodology, Writing – review and editing</p></fn><fn fn-type="con" id="con3"><p>Resources, Investigation, Writing – review and editing</p></fn><fn fn-type="con" id="con4"><p>Resources, Investigation, Writing – review and editing</p></fn><fn fn-type="con" id="con5"><p>Conceptualization, Resources, Data curation, Formal analysis, Supervision, Funding acquisition, Validation, Investigation, Visualization, Methodology, Writing – original draft, Project administration, Writing – review and editing</p></fn></fn-group></sec><sec sec-type="supplementary-material" id="s6"><title>Additional files</title><supplementary-material id="mdar"><label>MDAR checklist</label><media xlink:href="elife-88991-mdarchecklist1-v1.pdf" mimetype="application" mime-subtype="pdf"/></supplementary-material></sec><sec sec-type="data-availability" id="s7"><title>Data availability</title><p>All data generated or analyzed during this study are included in the manuscript and supporting files; source data files have been provided for all main text and figure supplements.</p></sec><ack id="ack"><title>Acknowledgements</title><p>We thank John Burke (University of Victoria) for his assistance in generating the AlphaFold2 Multimer model of PI3Kβ bound to GβGγ. We thank Grace Waddell (University of Oregon) for the preliminary characterization of PI3Kβ and Colin Hawkinson (University of Oregon) for assistance with protein purification. We thank Jean Chung (Colorado State, Fort Collins) and Orion Weiner (University of California at San Francisco) for plasmids encoding Btk and P-Rex1 plasmids, respectively. Research was supported by the University of Oregon Start-up funds (SDH), National Science Foundation CAREER Award (SDH, MCB-2048060), Molecular Biology and Biophysics Training Program (BRD, NEW, NIH T32 GM007759), and the Summer Program for Undergraduate Research (SPUR) at the University of Oregon (GMB). The content is solely the responsibility of the authors and does not necessarily represent the official views of the National Science Foundation.</p></ack><ref-list><title>References</title><ref id="bib1"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Angelov</surname><given-names>B</given-names></name><name><surname>Ollivon</surname><given-names>M</given-names></name><name><surname>Angelova</surname><given-names>A</given-names></name></person-group><year iso-8601-date="1999">1999</year><article-title>X-ray diffraction study of the effect of the detergent octyl glucoside on the structure of lamellar and nonlamellar lipid/water phases of use for membrane protein reconstitution</article-title><source>Langmuir</source><volume>15</volume><fpage>8225</fpage><lpage>8234</lpage><pub-id pub-id-type="doi">10.1021/la9902338</pub-id></element-citation></ref><ref id="bib2"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Auger</surname><given-names>KR</given-names></name><name><surname>Serunian</surname><given-names>LA</given-names></name><name><surname>Soltoff</surname><given-names>SP</given-names></name><name><surname>Libby</surname><given-names>P</given-names></name><name><surname>Cantley</surname><given-names>LC</given-names></name></person-group><year iso-8601-date="1989">1989</year><article-title>PDGF-dependent tyrosine phosphorylation stimulates production of novel polyphosphoinositides in intact cells</article-title><source>Cell</source><volume>57</volume><fpage>167</fpage><lpage>175</lpage><pub-id pub-id-type="doi">10.1016/0092-8674(89)90182-7</pub-id><pub-id pub-id-type="pmid">2467744</pub-id></element-citation></ref><ref id="bib3"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Backer</surname><given-names>JM</given-names></name><name><surname>Myers</surname><given-names>MG</given-names></name><name><surname>Shoelson</surname><given-names>SE</given-names></name><name><surname>Chin</surname><given-names>DJ</given-names></name><name><surname>Sun</surname><given-names>XJ</given-names></name><name><surname>Miralpeix</surname><given-names>M</given-names></name><name><surname>Hu</surname><given-names>P</given-names></name><name><surname>Margolis</surname><given-names>B</given-names></name><name><surname>Skolnik</surname><given-names>EY</given-names></name><name><surname>Schlessinger</surname><given-names>J</given-names></name></person-group><year iso-8601-date="1992">1992</year><article-title>Phosphatidylinositol 3’-kinase is activated by association with IRS-1 during insulin stimulation</article-title><source>The EMBO Journal</source><volume>11</volume><fpage>3469</fpage><lpage>3479</lpage><pub-id pub-id-type="doi">10.1002/j.1460-2075.1992.tb05426.x</pub-id><pub-id pub-id-type="pmid">1380456</pub-id></element-citation></ref><ref id="bib4"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Balla</surname><given-names>T</given-names></name></person-group><year iso-8601-date="2013">2013</year><article-title>Phosphoinositides: tiny lipids with giant impact on cell regulation</article-title><source>Physiological Reviews</source><volume>93</volume><fpage>1019</fpage><lpage>1137</lpage><pub-id pub-id-type="doi">10.1152/physrev.00028.2012</pub-id><pub-id pub-id-type="pmid">23899561</pub-id></element-citation></ref><ref id="bib5"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Bradshaw</surname><given-names>JM</given-names></name><name><surname>Mitaxov</surname><given-names>V</given-names></name><name><surname>Waksman</surname><given-names>G</given-names></name></person-group><year iso-8601-date="1999">1999</year><article-title>Investigation of phosphotyrosine recognition by the SH2 domain of the Src kinase</article-title><source>Journal of Molecular Biology</source><volume>293</volume><fpage>971</fpage><lpage>985</lpage><pub-id pub-id-type="doi">10.1006/jmbi.1999.3190</pub-id><pub-id pub-id-type="pmid">10543978</pub-id></element-citation></ref><ref id="bib6"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Breeze</surname><given-names>AL</given-names></name><name><surname>Kara</surname><given-names>BV</given-names></name><name><surname>Barratt</surname><given-names>DG</given-names></name><name><surname>Anderson</surname><given-names>M</given-names></name><name><surname>Smith</surname><given-names>JC</given-names></name><name><surname>Luke</surname><given-names>RW</given-names></name><name><surname>Best</surname><given-names>JR</given-names></name><name><surname>Cartlidge</surname><given-names>SA</given-names></name></person-group><year iso-8601-date="1996">1996</year><article-title>Structure of a specific peptide complex of the carboxy-terminal SH2 domain from the p85 alpha subunit of phosphatidylinositol 3-kinase</article-title><source>The EMBO Journal</source><volume>15</volume><fpage>3579</fpage><lpage>3589</lpage><pub-id pub-id-type="pmid">8670861</pub-id></element-citation></ref><ref id="bib7"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Buckles</surname><given-names>TC</given-names></name><name><surname>Ziemba</surname><given-names>BP</given-names></name><name><surname>Masson</surname><given-names>GR</given-names></name><name><surname>Williams</surname><given-names>RL</given-names></name><name><surname>Falke</surname><given-names>JJ</given-names></name></person-group><year iso-8601-date="2017">2017</year><article-title>Single-molecule study reveals how receptor and ras synergistically activate PI3Kα and PIP<sub>3</sub> signaling</article-title><source>Biophysical Journal</source><volume>113</volume><fpage>2396</fpage><lpage>2405</lpage><pub-id pub-id-type="doi">10.1016/j.bpj.2017.09.018</pub-id><pub-id pub-id-type="pmid">29211993</pub-id></element-citation></ref><ref id="bib8"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Burke</surname><given-names>JE</given-names></name><name><surname>Vadas</surname><given-names>O</given-names></name><name><surname>Berndt</surname><given-names>A</given-names></name><name><surname>Finegan</surname><given-names>T</given-names></name><name><surname>Perisic</surname><given-names>O</given-names></name><name><surname>Williams</surname><given-names>RL</given-names></name></person-group><year iso-8601-date="2011">2011</year><article-title>Dynamics of the phosphoinositide 3-kinase p110δ interaction with p85α and membranes reveals aspects of regulation distinct from p110α</article-title><source>Structure</source><volume>19</volume><fpage>1127</fpage><lpage>1137</lpage><pub-id pub-id-type="doi">10.1016/j.str.2011.06.003</pub-id><pub-id pub-id-type="pmid">21827948</pub-id></element-citation></ref><ref id="bib9"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Burke</surname><given-names>JE</given-names></name></person-group><year iso-8601-date="2018">2018</year><article-title>Structural basis for regulation of phosphoinositide kinases and their involvement in human disease</article-title><source>Molecular Cell</source><volume>71</volume><fpage>653</fpage><lpage>673</lpage><pub-id pub-id-type="doi">10.1016/j.molcel.2018.08.005</pub-id><pub-id pub-id-type="pmid">30193094</pub-id></element-citation></ref><ref id="bib10"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Carnie</surname><given-names>S</given-names></name><name><surname>Israelachvili</surname><given-names>JN</given-names></name><name><surname>Pailthorpe</surname><given-names>BA</given-names></name></person-group><year iso-8601-date="1979">1979</year><article-title>Lipid packing and transbilayer asymmetries of mixed lipid vesicles</article-title><source>Biochimica et Biophysica Acta - Biomembranes</source><volume>554</volume><fpage>340</fpage><lpage>357</lpage><pub-id pub-id-type="doi">10.1016/0005-2736(79)90375-4</pub-id></element-citation></ref><ref id="bib11"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Carpenter</surname><given-names>CL</given-names></name><name><surname>Auger</surname><given-names>KR</given-names></name><name><surname>Chanudhuri</surname><given-names>M</given-names></name><name><surname>Yoakim</surname><given-names>M</given-names></name><name><surname>Schaffhausen</surname><given-names>B</given-names></name><name><surname>Shoelson</surname><given-names>S</given-names></name><name><surname>Cantley</surname><given-names>LC</given-names></name></person-group><year iso-8601-date="1993">1993</year><article-title>Phosphoinositide 3-kinase is activated by phosphopeptides that bind to the SH2 domains of the 85-kDa subunit</article-title><source>The Journal of Biological Chemistry</source><volume>268</volume><fpage>9478</fpage><lpage>9483</lpage><pub-id pub-id-type="pmid">7683653</pub-id></element-citation></ref><ref id="bib12"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Christoforidis</surname><given-names>S</given-names></name><name><surname>Miaczynska</surname><given-names>M</given-names></name><name><surname>Ashman</surname><given-names>K</given-names></name><name><surname>Wilm</surname><given-names>M</given-names></name><name><surname>Zhao</surname><given-names>L</given-names></name><name><surname>Yip</surname><given-names>SC</given-names></name><name><surname>Waterfield</surname><given-names>MD</given-names></name><name><surname>Backer</surname><given-names>JM</given-names></name><name><surname>Zerial</surname><given-names>M</given-names></name></person-group><year iso-8601-date="1999">1999</year><article-title>Phosphatidylinositol-3-OH kinases are Rab5 effectors</article-title><source>Nature Cell Biology</source><volume>1</volume><fpage>249</fpage><lpage>252</lpage><pub-id pub-id-type="doi">10.1038/12075</pub-id><pub-id pub-id-type="pmid">10559924</pub-id></element-citation></ref><ref id="bib13"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Chung</surname><given-names>JK</given-names></name><name><surname>Nocka</surname><given-names>LM</given-names></name><name><surname>Decker</surname><given-names>A</given-names></name><name><surname>Wang</surname><given-names>Q</given-names></name><name><surname>Kadlecek</surname><given-names>TA</given-names></name><name><surname>Weiss</surname><given-names>A</given-names></name><name><surname>Kuriyan</surname><given-names>J</given-names></name><name><surname>Groves</surname><given-names>JT</given-names></name></person-group><year iso-8601-date="2019">2019</year><article-title>Switch-like activation of Bruton’s tyrosine kinase by membrane-mediated dimerization</article-title><source>PNAS</source><volume>116</volume><fpage>10798</fpage><lpage>10803</lpage><pub-id pub-id-type="doi">10.1073/pnas.1819309116</pub-id><pub-id pub-id-type="pmid">31076553</pub-id></element-citation></ref><ref id="bib14"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Ciraolo</surname><given-names>E</given-names></name><name><surname>Iezzi</surname><given-names>M</given-names></name><name><surname>Marone</surname><given-names>R</given-names></name><name><surname>Marengo</surname><given-names>S</given-names></name><name><surname>Curcio</surname><given-names>C</given-names></name><name><surname>Costa</surname><given-names>C</given-names></name><name><surname>Azzolino</surname><given-names>O</given-names></name><name><surname>Gonella</surname><given-names>C</given-names></name><name><surname>Rubinetto</surname><given-names>C</given-names></name><name><surname>Wu</surname><given-names>H</given-names></name><name><surname>Dastrù</surname><given-names>W</given-names></name><name><surname>Martin</surname><given-names>EL</given-names></name><name><surname>Silengo</surname><given-names>L</given-names></name><name><surname>Altruda</surname><given-names>F</given-names></name><name><surname>Turco</surname><given-names>E</given-names></name><name><surname>Lanzetti</surname><given-names>L</given-names></name><name><surname>Musiani</surname><given-names>P</given-names></name><name><surname>Rückle</surname><given-names>T</given-names></name><name><surname>Rommel</surname><given-names>C</given-names></name><name><surname>Backer</surname><given-names>JM</given-names></name><name><surname>Forni</surname><given-names>G</given-names></name><name><surname>Wymann</surname><given-names>MP</given-names></name><name><surname>Hirsch</surname><given-names>E</given-names></name></person-group><year iso-8601-date="2008">2008</year><article-title>Phosphoinositide 3-kinase p110beta activity: key role in metabolism and mammary gland cancer but not development</article-title><source>Science Signaling</source><volume>1</volume><elocation-id>ra3</elocation-id><pub-id pub-id-type="doi">10.1126/scisignal.1161577</pub-id><pub-id pub-id-type="pmid">18780892</pub-id></element-citation></ref><ref id="bib15"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Costigan</surname><given-names>SC</given-names></name><name><surname>Booth</surname><given-names>PJ</given-names></name><name><surname>Templer</surname><given-names>RH</given-names></name></person-group><year iso-8601-date="2000">2000</year><article-title>Estimations of lipid bilayer geometry in fluid lamellar phases</article-title><source>Biochimica et Biophysica Acta</source><volume>1468</volume><fpage>41</fpage><lpage>54</lpage><pub-id pub-id-type="doi">10.1016/S0005-2736(00)00220-0</pub-id></element-citation></ref><ref id="bib16"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Dbouk</surname><given-names>HA</given-names></name><name><surname>Pang</surname><given-names>H</given-names></name><name><surname>Fiser</surname><given-names>A</given-names></name><name><surname>Backer</surname><given-names>JM</given-names></name></person-group><year iso-8601-date="2010">2010</year><article-title>A biochemical mechanism for the oncogenic potential of the p110beta catalytic subunit of phosphoinositide 3-kinase</article-title><source>PNAS</source><volume>107</volume><fpage>19897</fpage><lpage>19902</lpage><pub-id pub-id-type="doi">10.1073/pnas.1008739107</pub-id><pub-id pub-id-type="pmid">21030680</pub-id></element-citation></ref><ref id="bib17"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Dbouk</surname><given-names>HA</given-names></name><name><surname>Vadas</surname><given-names>O</given-names></name><name><surname>Shymanets</surname><given-names>A</given-names></name><name><surname>Burke</surname><given-names>JE</given-names></name><name><surname>Salamon</surname><given-names>RS</given-names></name><name><surname>Khalil</surname><given-names>BD</given-names></name><name><surname>Barrett</surname><given-names>MO</given-names></name><name><surname>Waldo</surname><given-names>GL</given-names></name><name><surname>Surve</surname><given-names>C</given-names></name><name><surname>Hsueh</surname><given-names>C</given-names></name><name><surname>Perisic</surname><given-names>O</given-names></name><name><surname>Harteneck</surname><given-names>C</given-names></name><name><surname>Shepherd</surname><given-names>PR</given-names></name><name><surname>Harden</surname><given-names>TK</given-names></name><name><surname>Smrcka</surname><given-names>AV</given-names></name><name><surname>Taussig</surname><given-names>R</given-names></name><name><surname>Bresnick</surname><given-names>AR</given-names></name><name><surname>Nürnberg</surname><given-names>B</given-names></name><name><surname>Williams</surname><given-names>RL</given-names></name><name><surname>Backer</surname><given-names>JM</given-names></name></person-group><year iso-8601-date="2012">2012</year><article-title>G protein-coupled receptor-mediated activation of p110β by Gβγ is required for cellular transformation and invasiveness</article-title><source>Science Signaling</source><volume>5</volume><elocation-id>ra89</elocation-id><pub-id pub-id-type="doi">10.1126/scisignal.2003264</pub-id><pub-id pub-id-type="pmid">23211529</pub-id></element-citation></ref><ref id="bib18"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Di Paolo</surname><given-names>G</given-names></name><name><surname>De Camilli</surname><given-names>P</given-names></name></person-group><year iso-8601-date="2006">2006</year><article-title>Phosphoinositides in cell regulation and membrane dynamics</article-title><source>Nature</source><volume>443</volume><fpage>651</fpage><lpage>657</lpage><pub-id pub-id-type="doi">10.1038/nature05185</pub-id><pub-id pub-id-type="pmid">17035995</pub-id></element-citation></ref><ref id="bib19"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Dornan</surname><given-names>GL</given-names></name><name><surname>Siempelkamp</surname><given-names>BD</given-names></name><name><surname>Jenkins</surname><given-names>ML</given-names></name><name><surname>Vadas</surname><given-names>O</given-names></name><name><surname>Lucas</surname><given-names>CL</given-names></name><name><surname>Burke</surname><given-names>JE</given-names></name></person-group><year iso-8601-date="2017">2017</year><article-title>Conformational disruption of PI3Kδ regulation by immunodeficiency mutations in PIK3CD and PIK3R1</article-title><source>PNAS</source><volume>114</volume><fpage>1982</fpage><lpage>1987</lpage><pub-id pub-id-type="doi">10.1073/pnas.1617244114</pub-id></element-citation></ref><ref id="bib20"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Dornan</surname><given-names>GL</given-names></name><name><surname>Stariha</surname><given-names>JTB</given-names></name><name><surname>Rathinaswamy</surname><given-names>MK</given-names></name><name><surname>Powell</surname><given-names>CJ</given-names></name><name><surname>Boulanger</surname><given-names>MJ</given-names></name><name><surname>Burke</surname><given-names>JE</given-names></name></person-group><year iso-8601-date="2020">2020</year><article-title>Defining how oncogenic and developmental mutations of pik3r1 alter the regulation of class IA phosphoinositide 3-Kinases</article-title><source>Structure</source><volume>28</volume><fpage>145</fpage><lpage>156</lpage><pub-id pub-id-type="doi">10.1016/j.str.2019.11.013</pub-id><pub-id pub-id-type="pmid">31831213</pub-id></element-citation></ref><ref id="bib21"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Endres</surname><given-names>NF</given-names></name><name><surname>Das</surname><given-names>R</given-names></name><name><surname>Smith</surname><given-names>AW</given-names></name><name><surname>Arkhipov</surname><given-names>A</given-names></name><name><surname>Kovacs</surname><given-names>E</given-names></name><name><surname>Huang</surname><given-names>Y</given-names></name><name><surname>Pelton</surname><given-names>JG</given-names></name><name><surname>Shan</surname><given-names>Y</given-names></name><name><surname>Shaw</surname><given-names>DE</given-names></name><name><surname>Wemmer</surname><given-names>DE</given-names></name><name><surname>Groves</surname><given-names>JT</given-names></name><name><surname>Kuriyan</surname><given-names>J</given-names></name></person-group><year iso-8601-date="2013">2013</year><article-title>Conformational coupling across the plasma membrane in activation of the EGF receptor</article-title><source>Cell</source><volume>152</volume><fpage>543</fpage><lpage>556</lpage><pub-id pub-id-type="doi">10.1016/j.cell.2012.12.032</pub-id><pub-id pub-id-type="pmid">23374349</pub-id></element-citation></ref><ref id="bib22"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Erami</surname><given-names>Z</given-names></name><name><surname>Khalil</surname><given-names>BD</given-names></name><name><surname>Salloum</surname><given-names>G</given-names></name><name><surname>Yao</surname><given-names>Y</given-names></name><name><surname>LoPiccolo</surname><given-names>J</given-names></name><name><surname>Shymanets</surname><given-names>A</given-names></name><name><surname>Nürnberg</surname><given-names>B</given-names></name><name><surname>Bresnick</surname><given-names>AR</given-names></name><name><surname>Backer</surname><given-names>JM</given-names></name></person-group><year iso-8601-date="2017">2017</year><article-title>Rac1-stimulated macropinocytosis enhances Gβγ activation of PI3Kβ</article-title><source>The Biochemical Journal</source><volume>474</volume><fpage>3903</fpage><lpage>3914</lpage><pub-id pub-id-type="doi">10.1042/BCJ20170279</pub-id><pub-id pub-id-type="pmid">29046393</pub-id></element-citation></ref><ref id="bib23"><element-citation publication-type="preprint"><person-group person-group-type="author"><name><surname>Evans</surname><given-names>R</given-names></name><name><surname>O’Neill</surname><given-names>M</given-names></name><name><surname>Pritzel</surname><given-names>A</given-names></name><name><surname>Antropova</surname><given-names>N</given-names></name><name><surname>Senior</surname><given-names>A</given-names></name><name><surname>Green</surname><given-names>T</given-names></name><name><surname>Žídek</surname><given-names>A</given-names></name><name><surname>Bates</surname><given-names>R</given-names></name><name><surname>Blackwell</surname><given-names>S</given-names></name><name><surname>Yim</surname><given-names>J</given-names></name><name><surname>Ronneberger</surname><given-names>O</given-names></name><name><surname>Bodenstein</surname><given-names>S</given-names></name><name><surname>Zielinski</surname><given-names>M</given-names></name><name><surname>Bridgland</surname><given-names>A</given-names></name><name><surname>Potapenko</surname><given-names>A</given-names></name><name><surname>Cowie</surname><given-names>A</given-names></name><name><surname>Tunyasuvunakool</surname><given-names>K</given-names></name><name><surname>Jain</surname><given-names>R</given-names></name><name><surname>Clancy</surname><given-names>E</given-names></name><name><surname>Kohli</surname><given-names>P</given-names></name><name><surname>Jumper</surname><given-names>J</given-names></name><name><surname>Hassabis</surname><given-names>D</given-names></name></person-group><year iso-8601-date="2022">2022</year><article-title>Protein Complex Prediction with AlphaFold-Multimer</article-title><source>bioRxiv</source><pub-id pub-id-type="doi">10.1101/2021.10.04.463034</pub-id></element-citation></ref><ref id="bib24"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Fantl</surname><given-names>WJ</given-names></name><name><surname>Escobedo</surname><given-names>JA</given-names></name><name><surname>Martin</surname><given-names>GA</given-names></name><name><surname>Turck</surname><given-names>CW</given-names></name><name><surname>del Rosario</surname><given-names>M</given-names></name><name><surname>McCormick</surname><given-names>F</given-names></name><name><surname>Williams</surname><given-names>LT</given-names></name></person-group><year iso-8601-date="1992">1992</year><article-title>Distinct phosphotyrosines on a growth factor receptor bind to specific molecules that mediate different signaling pathways</article-title><source>Cell</source><volume>69</volume><fpage>413</fpage><lpage>423</lpage><pub-id pub-id-type="doi">10.1016/0092-8674(92)90444-H</pub-id></element-citation></ref><ref id="bib25"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Fritsch</surname><given-names>R</given-names></name><name><surname>de Krijger</surname><given-names>I</given-names></name><name><surname>Fritsch</surname><given-names>K</given-names></name><name><surname>George</surname><given-names>R</given-names></name><name><surname>Reason</surname><given-names>B</given-names></name><name><surname>Kumar</surname><given-names>MS</given-names></name><name><surname>Diefenbacher</surname><given-names>M</given-names></name><name><surname>Stamp</surname><given-names>G</given-names></name><name><surname>Downward</surname><given-names>J</given-names></name></person-group><year iso-8601-date="2013">2013</year><article-title>RAS and RHO families of GTPases directly regulate distinct phosphoinositide 3-kinase isoforms</article-title><source>Cell</source><volume>153</volume><fpage>1050</fpage><lpage>1063</lpage><pub-id pub-id-type="doi">10.1016/j.cell.2013.04.031</pub-id><pub-id pub-id-type="pmid">23706742</pub-id></element-citation></ref><ref id="bib26"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Fruman</surname><given-names>DA</given-names></name><name><surname>Chiu</surname><given-names>H</given-names></name><name><surname>Hopkins</surname><given-names>BD</given-names></name><name><surname>Bagrodia</surname><given-names>S</given-names></name><name><surname>Cantley</surname><given-names>LC</given-names></name><name><surname>Abraham</surname><given-names>RT</given-names></name></person-group><year iso-8601-date="2017">2017</year><article-title>The PI3K pathway in human disease</article-title><source>Cell</source><volume>170</volume><fpage>605</fpage><lpage>635</lpage><pub-id pub-id-type="doi">10.1016/j.cell.2017.07.029</pub-id><pub-id pub-id-type="pmid">28802037</pub-id></element-citation></ref><ref id="bib27"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Funamoto</surname><given-names>S</given-names></name><name><surname>Meili</surname><given-names>R</given-names></name><name><surname>Lee</surname><given-names>S</given-names></name><name><surname>Parry</surname><given-names>L</given-names></name><name><surname>Firtel</surname><given-names>RA</given-names></name></person-group><year iso-8601-date="2002">2002</year><article-title>Spatial and temporal regulation of 3-phosphoinositides by PI 3-kinase and PTEN mediates chemotaxis</article-title><source>Cell</source><volume>109</volume><fpage>611</fpage><lpage>623</lpage><pub-id pub-id-type="doi">10.1016/s0092-8674(02)00755-9</pub-id><pub-id pub-id-type="pmid">12062104</pub-id></element-citation></ref><ref id="bib28"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Gibson</surname><given-names>DG</given-names></name><name><surname>Young</surname><given-names>L</given-names></name><name><surname>Chuang</surname><given-names>RY</given-names></name><name><surname>Venter</surname><given-names>JC</given-names></name><name><surname>Hutchison</surname><given-names>CA</given-names></name><name><surname>Smith</surname><given-names>HO</given-names></name></person-group><year iso-8601-date="2009">2009</year><article-title>Enzymatic assembly of DNA molecules up to several hundred kilobases</article-title><source>Nature Methods</source><volume>6</volume><fpage>343</fpage><lpage>345</lpage><pub-id pub-id-type="doi">10.1038/nmeth.1318</pub-id><pub-id pub-id-type="pmid">19363495</pub-id></element-citation></ref><ref id="bib29"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Graziano</surname><given-names>BR</given-names></name><name><surname>Gong</surname><given-names>D</given-names></name><name><surname>Anderson</surname><given-names>KE</given-names></name><name><surname>Pipathsouk</surname><given-names>A</given-names></name><name><surname>Goldberg</surname><given-names>AR</given-names></name><name><surname>Weiner</surname><given-names>OD</given-names></name></person-group><year iso-8601-date="2017">2017</year><article-title>A module for Rac temporal signal integration revealed with optogenetics</article-title><source>The Journal of Cell Biology</source><volume>216</volume><fpage>2515</fpage><lpage>2531</lpage><pub-id pub-id-type="doi">10.1083/jcb.201604113</pub-id><pub-id pub-id-type="pmid">28687663</pub-id></element-citation></ref><ref id="bib30"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Guillermet-Guibert</surname><given-names>J</given-names></name><name><surname>Bjorklof</surname><given-names>K</given-names></name><name><surname>Salpekar</surname><given-names>A</given-names></name><name><surname>Gonella</surname><given-names>C</given-names></name><name><surname>Ramadani</surname><given-names>F</given-names></name><name><surname>Bilancio</surname><given-names>A</given-names></name><name><surname>Meek</surname><given-names>S</given-names></name><name><surname>Smith</surname><given-names>AJH</given-names></name><name><surname>Okkenhaug</surname><given-names>K</given-names></name><name><surname>Vanhaesebroeck</surname><given-names>B</given-names></name></person-group><year iso-8601-date="2008">2008</year><article-title>The p110beta isoform of phosphoinositide 3-kinase signals downstream of G protein-coupled receptors and is functionally redundant with p110gamma</article-title><source>PNAS</source><volume>105</volume><fpage>8292</fpage><lpage>8297</lpage><pub-id pub-id-type="doi">10.1073/pnas.0707761105</pub-id><pub-id pub-id-type="pmid">18544649</pub-id></element-citation></ref><ref id="bib31"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Haigler</surname><given-names>H</given-names></name><name><surname>Ash</surname><given-names>JF</given-names></name><name><surname>Singer</surname><given-names>SJ</given-names></name><name><surname>Cohen</surname><given-names>S</given-names></name></person-group><year iso-8601-date="1978">1978</year><article-title>Visualization by fluorescence of the binding and internalization of epidermal growth factor in human carcinoma cells A-431</article-title><source>PNAS</source><volume>75</volume><fpage>3317</fpage><lpage>3321</lpage><pub-id pub-id-type="doi">10.1073/pnas.75.7.3317</pub-id><pub-id pub-id-type="pmid">356052</pub-id></element-citation></ref><ref id="bib32"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Hanker</surname><given-names>AB</given-names></name><name><surname>Pfefferle</surname><given-names>AD</given-names></name><name><surname>Balko</surname><given-names>JM</given-names></name><name><surname>Kuba</surname><given-names>MG</given-names></name><name><surname>Young</surname><given-names>CD</given-names></name><name><surname>Sánchez</surname><given-names>V</given-names></name><name><surname>Sutton</surname><given-names>CR</given-names></name><name><surname>Cheng</surname><given-names>H</given-names></name><name><surname>Perou</surname><given-names>CM</given-names></name><name><surname>Zhao</surname><given-names>JJ</given-names></name><name><surname>Cook</surname><given-names>RS</given-names></name><name><surname>Arteaga</surname><given-names>CL</given-names></name></person-group><year iso-8601-date="2013">2013</year><article-title>Mutant PIK3CA accelerates HER2-driven transgenic mammary tumors and induces resistance to combinations of anti-HER2 therapies</article-title><source>PNAS</source><volume>110</volume><fpage>14372</fpage><lpage>14377</lpage><pub-id pub-id-type="doi">10.1073/pnas.1303204110</pub-id><pub-id pub-id-type="pmid">23940356</pub-id></element-citation></ref><ref id="bib33"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Hansen</surname><given-names>SD</given-names></name><name><surname>Huang</surname><given-names>WYC</given-names></name><name><surname>Lee</surname><given-names>YK</given-names></name><name><surname>Bieling</surname><given-names>P</given-names></name><name><surname>Christensen</surname><given-names>SM</given-names></name><name><surname>Groves</surname><given-names>JT</given-names></name></person-group><year iso-8601-date="2019">2019</year><article-title>Stochastic geometry sensing and polarization in a lipid kinase-phosphatase competitive reaction</article-title><source>PNAS</source><volume>116</volume><fpage>15013</fpage><lpage>15022</lpage><pub-id pub-id-type="doi">10.1073/pnas.1901744116</pub-id><pub-id pub-id-type="pmid">31278151</pub-id></element-citation></ref><ref id="bib34"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Hansen</surname><given-names>SD</given-names></name><name><surname>Lee</surname><given-names>AA</given-names></name><name><surname>Duewell</surname><given-names>BR</given-names></name><name><surname>Groves</surname><given-names>JT</given-names></name></person-group><year iso-8601-date="2022">2022</year><article-title>Membrane-mediated dimerization potentiates PIP5K lipid kinase activity</article-title><source>eLife</source><volume>11</volume><elocation-id>e73747</elocation-id><pub-id pub-id-type="doi">10.7554/eLife.73747</pub-id><pub-id pub-id-type="pmid">35976097</pub-id></element-citation></ref><ref id="bib35"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Hatada</surname><given-names>MH</given-names></name><name><surname>Lu</surname><given-names>X</given-names></name><name><surname>Laird</surname><given-names>ER</given-names></name><name><surname>Green</surname><given-names>J</given-names></name><name><surname>Morgenstern</surname><given-names>JP</given-names></name><name><surname>Lou</surname><given-names>M</given-names></name><name><surname>Marr</surname><given-names>CS</given-names></name><name><surname>Phillips</surname><given-names>TB</given-names></name><name><surname>Ram</surname><given-names>MK</given-names></name><name><surname>Theriault</surname><given-names>K</given-names></name><name><surname>Zoller</surname><given-names>MJ</given-names></name><name><surname>Karas</surname><given-names>JL</given-names></name></person-group><year iso-8601-date="1995">1995</year><article-title>Molecular basis for interaction of the protein tyrosine kinase ZAP-70 with the T-cell receptor</article-title><source>Nature</source><volume>377</volume><fpage>32</fpage><lpage>38</lpage><pub-id pub-id-type="doi">10.1038/377032a0</pub-id><pub-id pub-id-type="pmid">7659156</pub-id></element-citation></ref><ref id="bib36"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>He</surname><given-names>J</given-names></name><name><surname>Haney</surname><given-names>RM</given-names></name><name><surname>Vora</surname><given-names>M</given-names></name><name><surname>Verkhusha</surname><given-names>VV</given-names></name><name><surname>Stahelin</surname><given-names>RV</given-names></name><name><surname>Kutateladze</surname><given-names>TG</given-names></name></person-group><year iso-8601-date="2008">2008</year><article-title>Molecular mechanism of membrane targeting by the GRP1 PH domain</article-title><source>Journal of Lipid Research</source><volume>49</volume><fpage>1807</fpage><lpage>1815</lpage><pub-id pub-id-type="doi">10.1194/jlr.M800150-JLR200</pub-id><pub-id pub-id-type="pmid">18469301</pub-id></element-citation></ref><ref id="bib37"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Heitz</surname><given-names>SD</given-names></name><name><surname>Hamelin</surname><given-names>DJ</given-names></name><name><surname>Hoffmann</surname><given-names>RM</given-names></name><name><surname>Greenberg</surname><given-names>N</given-names></name><name><surname>Salloum</surname><given-names>G</given-names></name><name><surname>Erami</surname><given-names>Z</given-names></name><name><surname>Khalil</surname><given-names>BD</given-names></name><name><surname>Shymanets</surname><given-names>A</given-names></name><name><surname>Steidle</surname><given-names>EA</given-names></name><name><surname>Gong</surname><given-names>GQ</given-names></name><name><surname>Nürnberg</surname><given-names>B</given-names></name><name><surname>Burke</surname><given-names>JE</given-names></name><name><surname>Flanagan</surname><given-names>JU</given-names></name><name><surname>Bresnick</surname><given-names>AR</given-names></name><name><surname>Backer</surname><given-names>JM</given-names></name></person-group><year iso-8601-date="2019">2019</year><article-title>A single discrete Rab5-binding site in phosphoinositide 3-kinase β is required for tumor cell invasion</article-title><source>The Journal of Biological Chemistry</source><volume>294</volume><fpage>4621</fpage><lpage>4633</lpage><pub-id pub-id-type="doi">10.1074/jbc.RA118.006032</pub-id><pub-id pub-id-type="pmid">30659094</pub-id></element-citation></ref><ref id="bib38"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Houslay</surname><given-names>DM</given-names></name><name><surname>Anderson</surname><given-names>KE</given-names></name><name><surname>Chessa</surname><given-names>T</given-names></name><name><surname>Kulkarni</surname><given-names>S</given-names></name><name><surname>Fritsch</surname><given-names>R</given-names></name><name><surname>Downward</surname><given-names>J</given-names></name><name><surname>Backer</surname><given-names>JM</given-names></name><name><surname>Stephens</surname><given-names>LR</given-names></name><name><surname>Hawkins</surname><given-names>PT</given-names></name></person-group><year iso-8601-date="2016">2016</year><article-title>Coincident signals from GPCRs and receptor tyrosine kinases are uniquely transduced by PI3Kβ in myeloid cells</article-title><source>Science Signaling</source><volume>9</volume><elocation-id>ra82</elocation-id><pub-id pub-id-type="doi">10.1126/scisignal.aae0453</pub-id><pub-id pub-id-type="pmid">27531651</pub-id></element-citation></ref><ref id="bib39"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Howard</surname><given-names>TH</given-names></name><name><surname>Oresajo</surname><given-names>CO</given-names></name></person-group><year iso-8601-date="1985">1985</year><article-title>The kinetics of chemotactic peptide-induced change in F-actin content, F-actin distribution, and the shape of neutrophils</article-title><source>The Journal of Cell Biology</source><volume>101</volume><fpage>1078</fpage><lpage>1085</lpage><pub-id pub-id-type="doi">10.1083/jcb.101.3.1078</pub-id><pub-id pub-id-type="pmid">4040915</pub-id></element-citation></ref><ref id="bib40"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Insall</surname><given-names>RH</given-names></name><name><surname>Weiner</surname><given-names>OD</given-names></name></person-group><year iso-8601-date="2001">2001</year><article-title>PIP3, PIP2, and cell movement--similar messages, different meanings?</article-title><source>Developmental Cell</source><volume>1</volume><fpage>743</fpage><lpage>747</lpage><pub-id pub-id-type="doi">10.1016/s1534-5807(01)00086-7</pub-id><pub-id pub-id-type="pmid">11740936</pub-id></element-citation></ref><ref id="bib41"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Israelachvili</surname><given-names>JN</given-names></name><name><surname>Mitchell</surname><given-names>DJ</given-names></name><name><surname>Ninham</surname><given-names>BW</given-names></name></person-group><year iso-8601-date="1976">1976</year><article-title>Theory of self-assembly of hydrocarbon amphiphiles into micelles and bilayers</article-title><source>Journal of the Chemical Society, Faraday Transactions 2</source><volume>72</volume><elocation-id>1525</elocation-id><pub-id pub-id-type="doi">10.1039/f29767201525</pub-id></element-citation></ref><ref id="bib42"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Israelachvili</surname><given-names>JN</given-names></name><name><surname>Marcelja</surname><given-names>S</given-names></name><name><surname>Horn</surname><given-names>RG</given-names></name></person-group><year iso-8601-date="1980">1980</year><article-title>Physical principles of membrane organization</article-title><source>Quarterly Reviews of Biophysics</source><volume>13</volume><fpage>121</fpage><lpage>200</lpage><pub-id pub-id-type="doi">10.1017/s0033583500001645</pub-id><pub-id pub-id-type="pmid">7015403</pub-id></element-citation></ref><ref id="bib43"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Jaqaman</surname><given-names>K</given-names></name><name><surname>Loerke</surname><given-names>D</given-names></name><name><surname>Mettlen</surname><given-names>M</given-names></name><name><surname>Kuwata</surname><given-names>H</given-names></name><name><surname>Grinstein</surname><given-names>S</given-names></name><name><surname>Schmid</surname><given-names>SL</given-names></name><name><surname>Danuser</surname><given-names>G</given-names></name></person-group><year iso-8601-date="2008">2008</year><article-title>Robust single-particle tracking in live-cell time-lapse sequences</article-title><source>Nature Methods</source><volume>5</volume><fpage>695</fpage><lpage>702</lpage><pub-id pub-id-type="doi">10.1038/nmeth.1237</pub-id><pub-id pub-id-type="pmid">18641657</pub-id></element-citation></ref><ref id="bib44"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Jia</surname><given-names>S</given-names></name><name><surname>Liu</surname><given-names>Z</given-names></name><name><surname>Zhang</surname><given-names>S</given-names></name><name><surname>Liu</surname><given-names>P</given-names></name><name><surname>Zhang</surname><given-names>L</given-names></name><name><surname>Lee</surname><given-names>SH</given-names></name><name><surname>Zhang</surname><given-names>J</given-names></name><name><surname>Signoretti</surname><given-names>S</given-names></name><name><surname>Loda</surname><given-names>M</given-names></name><name><surname>Roberts</surname><given-names>TM</given-names></name><name><surname>Zhao</surname><given-names>JJ</given-names></name></person-group><year iso-8601-date="2008">2008</year><article-title>Essential roles of PI(3)K-p110beta in cell growth, metabolism and tumorigenesis</article-title><source>Nature</source><volume>454</volume><fpage>776</fpage><lpage>779</lpage><pub-id pub-id-type="doi">10.1038/nature07091</pub-id><pub-id pub-id-type="pmid">18594509</pub-id></element-citation></ref><ref id="bib45"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Jumper</surname><given-names>J</given-names></name><name><surname>Evans</surname><given-names>R</given-names></name><name><surname>Pritzel</surname><given-names>A</given-names></name><name><surname>Green</surname><given-names>T</given-names></name><name><surname>Figurnov</surname><given-names>M</given-names></name><name><surname>Ronneberger</surname><given-names>O</given-names></name><name><surname>Tunyasuvunakool</surname><given-names>K</given-names></name><name><surname>Bates</surname><given-names>R</given-names></name><name><surname>Žídek</surname><given-names>A</given-names></name><name><surname>Potapenko</surname><given-names>A</given-names></name><name><surname>Bridgland</surname><given-names>A</given-names></name><name><surname>Meyer</surname><given-names>C</given-names></name><name><surname>Kohl</surname><given-names>SAA</given-names></name><name><surname>Ballard</surname><given-names>AJ</given-names></name><name><surname>Cowie</surname><given-names>A</given-names></name><name><surname>Romera-Paredes</surname><given-names>B</given-names></name><name><surname>Nikolov</surname><given-names>S</given-names></name><name><surname>Jain</surname><given-names>R</given-names></name><name><surname>Adler</surname><given-names>J</given-names></name><name><surname>Back</surname><given-names>T</given-names></name><name><surname>Petersen</surname><given-names>S</given-names></name><name><surname>Reiman</surname><given-names>D</given-names></name><name><surname>Clancy</surname><given-names>E</given-names></name><name><surname>Zielinski</surname><given-names>M</given-names></name><name><surname>Steinegger</surname><given-names>M</given-names></name><name><surname>Pacholska</surname><given-names>M</given-names></name><name><surname>Berghammer</surname><given-names>T</given-names></name><name><surname>Bodenstein</surname><given-names>S</given-names></name><name><surname>Silver</surname><given-names>D</given-names></name><name><surname>Vinyals</surname><given-names>O</given-names></name><name><surname>Senior</surname><given-names>AW</given-names></name><name><surname>Kavukcuoglu</surname><given-names>K</given-names></name><name><surname>Kohli</surname><given-names>P</given-names></name><name><surname>Hassabis</surname><given-names>D</given-names></name></person-group><year iso-8601-date="2021">2021</year><article-title>Highly accurate protein structure prediction with AlphaFold</article-title><source>Nature</source><volume>596</volume><fpage>583</fpage><lpage>589</lpage><pub-id pub-id-type="doi">10.1038/s41586-021-03819-2</pub-id><pub-id pub-id-type="pmid">34265844</pub-id></element-citation></ref><ref id="bib46"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Katada</surname><given-names>T</given-names></name><name><surname>Kurosu</surname><given-names>H</given-names></name><name><surname>Okada</surname><given-names>T</given-names></name><name><surname>Suzuki</surname><given-names>T</given-names></name><name><surname>Tsujimoto</surname><given-names>N</given-names></name><name><surname>Takasuga</surname><given-names>S</given-names></name><name><surname>Kontani</surname><given-names>K</given-names></name><name><surname>Hazeki</surname><given-names>O</given-names></name><name><surname>Ui</surname><given-names>M</given-names></name></person-group><year iso-8601-date="1999">1999</year><article-title>Synergistic activation of a family of phosphoinositide 3-kinase via G-protein coupled and tyrosine kinase-related receptors</article-title><source>Chemistry and Physics of Lipids</source><volume>98</volume><fpage>79</fpage><lpage>86</lpage><pub-id pub-id-type="doi">10.1016/S0009-3084(99)00020-1</pub-id></element-citation></ref><ref id="bib47"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Knight</surname><given-names>ZA</given-names></name><name><surname>Gonzalez</surname><given-names>B</given-names></name><name><surname>Feldman</surname><given-names>ME</given-names></name><name><surname>Zunder</surname><given-names>ER</given-names></name><name><surname>Goldenberg</surname><given-names>DD</given-names></name><name><surname>Williams</surname><given-names>O</given-names></name><name><surname>Loewith</surname><given-names>R</given-names></name><name><surname>Stokoe</surname><given-names>D</given-names></name><name><surname>Balla</surname><given-names>A</given-names></name><name><surname>Toth</surname><given-names>B</given-names></name><name><surname>Balla</surname><given-names>T</given-names></name><name><surname>Weiss</surname><given-names>WA</given-names></name><name><surname>Williams</surname><given-names>RL</given-names></name><name><surname>Shokat</surname><given-names>KM</given-names></name></person-group><year iso-8601-date="2006">2006</year><article-title>A pharmacological map of the PI3-K family defines A role for p110alpha in insulin signaling</article-title><source>Cell</source><volume>125</volume><fpage>733</fpage><lpage>747</lpage><pub-id pub-id-type="doi">10.1016/j.cell.2006.03.035</pub-id><pub-id pub-id-type="pmid">16647110</pub-id></element-citation></ref><ref id="bib48"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Knight</surname><given-names>JD</given-names></name><name><surname>Lerner</surname><given-names>MG</given-names></name><name><surname>Marcano-Velázquez</surname><given-names>JG</given-names></name><name><surname>Pastor</surname><given-names>RW</given-names></name><name><surname>Falke</surname><given-names>JJ</given-names></name></person-group><year iso-8601-date="2010">2010</year><article-title>Single molecule diffusion of membrane-bound proteins: window into lipid contacts and bilayer dynamics</article-title><source>Biophysical Journal</source><volume>99</volume><fpage>2879</fpage><lpage>2887</lpage><pub-id pub-id-type="doi">10.1016/j.bpj.2010.08.046</pub-id><pub-id pub-id-type="pmid">21044585</pub-id></element-citation></ref><ref id="bib49"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Kobierski</surname><given-names>J</given-names></name><name><surname>Wnętrzak</surname><given-names>A</given-names></name><name><surname>Chachaj-Brekiesz</surname><given-names>A</given-names></name><name><surname>Dynarowicz-Latka</surname><given-names>P</given-names></name></person-group><year iso-8601-date="2022">2022</year><article-title>Predicting the packing parameter for lipids in monolayers with the use of molecular dynamics</article-title><source>Colloids and Surfaces. B, Biointerfaces</source><volume>211</volume><elocation-id>112298</elocation-id><pub-id pub-id-type="doi">10.1016/j.colsurfb.2021.112298</pub-id><pub-id pub-id-type="pmid">34954518</pub-id></element-citation></ref><ref id="bib50"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Kozasa</surname><given-names>T</given-names></name><name><surname>Gilman</surname><given-names>AG</given-names></name></person-group><year iso-8601-date="1995">1995</year><article-title>Purification of recombinant G proteins from Sf9 cells by hexahistidine tagging of associated subunits. Characterization of alpha 12 and inhibition of adenylyl cyclase by alpha z</article-title><source>The Journal of Biological Chemistry</source><volume>270</volume><fpage>1734</fpage><lpage>1741</lpage><pub-id pub-id-type="doi">10.1074/jbc.270.4.1734</pub-id><pub-id pub-id-type="pmid">7829508</pub-id></element-citation></ref><ref id="bib51"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Kulkarni</surname><given-names>CV</given-names></name></person-group><year iso-8601-date="2019">2019</year><article-title>Calculating the “chain splay” of amphiphilic molecules: Towards quantifying the molecular shapes</article-title><source>Chemistry and Physics of Lipids</source><volume>218</volume><fpage>16</fpage><lpage>21</lpage><pub-id pub-id-type="doi">10.1016/j.chemphyslip.2018.11.004</pub-id><pub-id pub-id-type="pmid">30476486</pub-id></element-citation></ref><ref id="bib52"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Kurosu</surname><given-names>H</given-names></name><name><surname>Maehama</surname><given-names>T</given-names></name><name><surname>Okada</surname><given-names>T</given-names></name><name><surname>Yamamoto</surname><given-names>T</given-names></name><name><surname>Hoshino</surname><given-names>S</given-names></name><name><surname>Fukui</surname><given-names>Y</given-names></name><name><surname>Ui</surname><given-names>M</given-names></name><name><surname>Hazeki</surname><given-names>O</given-names></name><name><surname>Katada</surname><given-names>T</given-names></name></person-group><year iso-8601-date="1997">1997</year><article-title>Heterodimeric phosphoinositide 3-kinase consisting of p85 and p110beta is synergistically activated by the betagamma subunits of G proteins and phosphotyrosyl peptide</article-title><source>The Journal of Biological Chemistry</source><volume>272</volume><fpage>24252</fpage><lpage>24256</lpage><pub-id pub-id-type="doi">10.1074/jbc.272.39.24252</pub-id><pub-id pub-id-type="pmid">9305878</pub-id></element-citation></ref><ref id="bib53"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Lemmon</surname><given-names>MA</given-names></name><name><surname>Schlessinger</surname><given-names>J</given-names></name></person-group><year iso-8601-date="2010">2010</year><article-title>Cell signaling by receptor tyrosine kinases</article-title><source>Cell</source><volume>141</volume><fpage>1117</fpage><lpage>1134</lpage><pub-id pub-id-type="doi">10.1016/j.cell.2010.06.011</pub-id><pub-id pub-id-type="pmid">20602996</pub-id></element-citation></ref><ref id="bib54"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Lorent</surname><given-names>JH</given-names></name><name><surname>Levental</surname><given-names>KR</given-names></name><name><surname>Ganesan</surname><given-names>L</given-names></name><name><surname>Rivera-Longsworth</surname><given-names>G</given-names></name><name><surname>Sezgin</surname><given-names>E</given-names></name><name><surname>Doktorova</surname><given-names>M</given-names></name><name><surname>Lyman</surname><given-names>E</given-names></name><name><surname>Levental</surname><given-names>I</given-names></name></person-group><year iso-8601-date="2020">2020</year><article-title>Plasma membranes are asymmetric in lipid unsaturation, packing and protein shape</article-title><source>Nature Chemical Biology</source><volume>16</volume><fpage>644</fpage><lpage>652</lpage><pub-id pub-id-type="doi">10.1038/s41589-020-0529-6</pub-id><pub-id pub-id-type="pmid">32367017</pub-id></element-citation></ref><ref id="bib55"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Love</surname><given-names>PE</given-names></name><name><surname>Hayes</surname><given-names>SM</given-names></name></person-group><year iso-8601-date="2010">2010</year><article-title>ITAM-mediated signaling by the T-cell antigen receptor</article-title><source>Cold Spring Harbor Perspectives in Biology</source><volume>2</volume><elocation-id>a002485</elocation-id><pub-id pub-id-type="doi">10.1101/cshperspect.a002485</pub-id><pub-id pub-id-type="pmid">20516133</pub-id></element-citation></ref><ref id="bib56"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Maier</surname><given-names>U</given-names></name><name><surname>Babich</surname><given-names>A</given-names></name><name><surname>Nürnberg</surname><given-names>B</given-names></name></person-group><year iso-8601-date="1999">1999</year><article-title>Roles of non-catalytic subunits in gbetagamma-induced activation of class I phosphoinositide 3-kinase isoforms beta and gamma</article-title><source>The Journal of Biological Chemistry</source><volume>274</volume><fpage>29311</fpage><lpage>29317</lpage><pub-id pub-id-type="doi">10.1074/jbc.274.41.29311</pub-id><pub-id pub-id-type="pmid">10506190</pub-id></element-citation></ref><ref id="bib57"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Mandelker</surname><given-names>D</given-names></name><name><surname>Gabelli</surname><given-names>SB</given-names></name><name><surname>Schmidt-Kittler</surname><given-names>O</given-names></name><name><surname>Zhu</surname><given-names>J</given-names></name><name><surname>Cheong</surname><given-names>I</given-names></name><name><surname>Huang</surname><given-names>CH</given-names></name><name><surname>Kinzler</surname><given-names>KW</given-names></name><name><surname>Vogelstein</surname><given-names>B</given-names></name><name><surname>Amzel</surname><given-names>LM</given-names></name></person-group><year iso-8601-date="2009">2009</year><article-title>A frequent kinase domain mutation that changes the interaction between PI3Kalpha and the membrane</article-title><source>PNAS</source><volume>106</volume><fpage>16996</fpage><lpage>17001</lpage><pub-id pub-id-type="doi">10.1073/pnas.0908444106</pub-id><pub-id pub-id-type="pmid">19805105</pub-id></element-citation></ref><ref id="bib58"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Manning</surname><given-names>BD</given-names></name><name><surname>Cantley</surname><given-names>LC</given-names></name></person-group><year iso-8601-date="2007">2007</year><article-title>AKT/PKB signaling: navigating downstream</article-title><source>Cell</source><volume>129</volume><fpage>1261</fpage><lpage>1274</lpage><pub-id pub-id-type="doi">10.1016/j.cell.2007.06.009</pub-id><pub-id pub-id-type="pmid">17604717</pub-id></element-citation></ref><ref id="bib59"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Mirdita</surname><given-names>M</given-names></name><name><surname>Schütze</surname><given-names>K</given-names></name><name><surname>Moriwaki</surname><given-names>Y</given-names></name><name><surname>Heo</surname><given-names>L</given-names></name><name><surname>Ovchinnikov</surname><given-names>S</given-names></name><name><surname>Steinegger</surname><given-names>M</given-names></name></person-group><year iso-8601-date="2022">2022</year><article-title>ColabFold: making protein folding accessible to all</article-title><source>Nature Methods</source><volume>19</volume><fpage>679</fpage><lpage>682</lpage><pub-id pub-id-type="doi">10.1038/s41592-022-01488-1</pub-id><pub-id pub-id-type="pmid">35637307</pub-id></element-citation></ref><ref id="bib60"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Nasuhoglu</surname><given-names>C</given-names></name><name><surname>Feng</surname><given-names>S</given-names></name><name><surname>Mao</surname><given-names>J</given-names></name><name><surname>Yamamoto</surname><given-names>M</given-names></name><name><surname>Yin</surname><given-names>HL</given-names></name><name><surname>Earnest</surname><given-names>S</given-names></name><name><surname>Barylko</surname><given-names>B</given-names></name><name><surname>Albanesi</surname><given-names>JP</given-names></name><name><surname>Hilgemann</surname><given-names>DW</given-names></name></person-group><year iso-8601-date="2002">2002</year><article-title>Nonradioactive analysis of phosphatidylinositides and other anionic phospholipids by anion-exchange high-performance liquid chromatography with suppressed conductivity detection</article-title><source>Analytical Biochemistry</source><volume>301</volume><fpage>243</fpage><lpage>254</lpage><pub-id pub-id-type="doi">10.1006/abio.2001.5489</pub-id><pub-id pub-id-type="pmid">11814295</pub-id></element-citation></ref><ref id="bib61"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Nolte</surname><given-names>RT</given-names></name><name><surname>Eck</surname><given-names>MJ</given-names></name><name><surname>Schlessinger</surname><given-names>J</given-names></name><name><surname>Shoelson</surname><given-names>SE</given-names></name><name><surname>Harrison</surname><given-names>SC</given-names></name></person-group><year iso-8601-date="1996">1996</year><article-title>Crystal structure of the PI 3-kinase P85 amino-terminal SH2 domain and its phosphopeptide complexes</article-title><source>Nature Structural Biology</source><volume>3</volume><fpage>364</fpage><lpage>374</lpage><pub-id pub-id-type="doi">10.1038/nsb0496-364</pub-id><pub-id pub-id-type="pmid">8599763</pub-id></element-citation></ref><ref id="bib62"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Osman</surname><given-names>N</given-names></name><name><surname>Turner</surname><given-names>H</given-names></name><name><surname>Lucas</surname><given-names>S</given-names></name><name><surname>Reif</surname><given-names>K</given-names></name><name><surname>Cantrell</surname><given-names>DA</given-names></name></person-group><year iso-8601-date="1996">1996</year><article-title>The protein interactions of the immunoglobulin receptor family tyrosine-based activation motifs present in the T cell receptor zeta subunits and the CD3 gamma, delta and epsilon chains</article-title><source>European Journal of Immunology</source><volume>26</volume><fpage>1063</fpage><lpage>1068</lpage><pub-id pub-id-type="doi">10.1002/eji.1830260516</pub-id><pub-id pub-id-type="pmid">8647168</pub-id></element-citation></ref><ref id="bib63"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Parent</surname><given-names>CA</given-names></name><name><surname>Blacklock</surname><given-names>BJ</given-names></name><name><surname>Froehlich</surname><given-names>WM</given-names></name><name><surname>Murphy</surname><given-names>DB</given-names></name><name><surname>Devreotes</surname><given-names>PN</given-names></name></person-group><year iso-8601-date="1998">1998</year><article-title>G protein signaling events are activated at the leading edge of chemotactic cells</article-title><source>Cell</source><volume>95</volume><fpage>81</fpage><lpage>91</lpage><pub-id pub-id-type="doi">10.1016/s0092-8674(00)81784-5</pub-id><pub-id pub-id-type="pmid">9778249</pub-id></element-citation></ref><ref id="bib64"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Rameh</surname><given-names>LE</given-names></name><name><surname>Chen</surname><given-names>CS</given-names></name><name><surname>Cantley</surname><given-names>LC</given-names></name></person-group><year iso-8601-date="1995">1995</year><article-title>Phosphatidylinositol (3,4,5)P3 interacts with SH2 domains and modulates PI 3-kinase association with tyrosine-phosphorylated proteins</article-title><source>Cell</source><volume>83</volume><fpage>821</fpage><lpage>830</lpage><pub-id pub-id-type="doi">10.1016/0092-8674(95)90195-7</pub-id><pub-id pub-id-type="pmid">8521499</pub-id></element-citation></ref><ref id="bib65"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Rathinaswamy</surname><given-names>MK</given-names></name><name><surname>Dalwadi</surname><given-names>U</given-names></name><name><surname>Fleming</surname><given-names>KD</given-names></name><name><surname>Adams</surname><given-names>C</given-names></name><name><surname>Stariha</surname><given-names>JTB</given-names></name><name><surname>Pardon</surname><given-names>E</given-names></name><name><surname>Baek</surname><given-names>M</given-names></name><name><surname>Vadas</surname><given-names>O</given-names></name><name><surname>DiMaio</surname><given-names>F</given-names></name><name><surname>Steyaert</surname><given-names>J</given-names></name><name><surname>Hansen</surname><given-names>SD</given-names></name><name><surname>Yip</surname><given-names>CK</given-names></name><name><surname>Burke</surname><given-names>JE</given-names></name></person-group><year iso-8601-date="2021">2021</year><article-title>Structure of the phosphoinositide 3-kinase (PI3K) P110γ-P101 complex reveals molecular mechanism of GPCR activation</article-title><source>Science Advances</source><volume>7</volume><elocation-id>eabj4282</elocation-id><pub-id pub-id-type="doi">10.1126/sciadv.abj4282</pub-id><pub-id pub-id-type="pmid">34452907</pub-id></element-citation></ref><ref id="bib66"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Rathinaswamy</surname><given-names>MK</given-names></name><name><surname>Jenkins</surname><given-names>ML</given-names></name><name><surname>Duewell</surname><given-names>BR</given-names></name><name><surname>Zhang</surname><given-names>X</given-names></name><name><surname>Harris</surname><given-names>NJ</given-names></name><name><surname>Evans</surname><given-names>JT</given-names></name><name><surname>Stariha</surname><given-names>JTB</given-names></name><name><surname>Dalwadi</surname><given-names>U</given-names></name><name><surname>Fleming</surname><given-names>KD</given-names></name><name><surname>Ranga-Prasad</surname><given-names>H</given-names></name><name><surname>Yip</surname><given-names>CK</given-names></name><name><surname>Williams</surname><given-names>RL</given-names></name><name><surname>Hansen</surname><given-names>SD</given-names></name><name><surname>Burke</surname><given-names>JE</given-names></name></person-group><year iso-8601-date="2023">2023</year><article-title>Molecular basis for differential activation of p101 and p84 complexes of PI3Kγ by Ras and GPCRs</article-title><source>Cell Reports</source><volume>42</volume><elocation-id>112172</elocation-id><pub-id pub-id-type="doi">10.1016/j.celrep.2023.112172</pub-id><pub-id pub-id-type="pmid">36842083</pub-id></element-citation></ref><ref id="bib67"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Reth</surname><given-names>M</given-names></name></person-group><year iso-8601-date="1989">1989</year><article-title>Antigen receptor tail clue</article-title><source>Nature</source><volume>338</volume><fpage>383</fpage><lpage>384</lpage><pub-id pub-id-type="doi">10.1038/338383b0</pub-id><pub-id pub-id-type="pmid">2927501</pub-id></element-citation></ref><ref id="bib68"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Rincón</surname><given-names>E</given-names></name><name><surname>Rocha-Gregg</surname><given-names>BL</given-names></name><name><surname>Collins</surname><given-names>SR</given-names></name></person-group><year iso-8601-date="2018">2018</year><article-title>A map of gene expression in neutrophil-like cell lines</article-title><source>BMC Genomics</source><volume>19</volume><elocation-id>573</elocation-id><pub-id pub-id-type="doi">10.1186/s12864-018-4957-6</pub-id><pub-id pub-id-type="pmid">30068296</pub-id></element-citation></ref><ref id="bib69"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Saini</surname><given-names>DK</given-names></name><name><surname>Kalyanaraman</surname><given-names>V</given-names></name><name><surname>Chisari</surname><given-names>M</given-names></name><name><surname>Gautam</surname><given-names>N</given-names></name></person-group><year iso-8601-date="2007">2007</year><article-title>A family of G protein βγ subunits translocate reversibly from the plasma membrane to endomembranes on receptor activation</article-title><source>The Journal of Biological Chemistry</source><volume>282</volume><fpage>24099</fpage><lpage>24108</lpage><pub-id pub-id-type="doi">10.1074/jbc.M701191200</pub-id><pub-id pub-id-type="pmid">17581822</pub-id></element-citation></ref><ref id="bib70"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Sauter</surname><given-names>G</given-names></name><name><surname>Maeda</surname><given-names>T</given-names></name><name><surname>Waldman</surname><given-names>FM</given-names></name><name><surname>Davis</surname><given-names>RL</given-names></name><name><surname>Feuerstein</surname><given-names>BG</given-names></name></person-group><year iso-8601-date="1996">1996</year><article-title>Patterns of epidermal growth factor receptor amplification in malignant gliomas</article-title><source>The American Journal of Pathology</source><volume>148</volume><fpage>1047</fpage><lpage>1053</lpage><pub-id pub-id-type="pmid">8644846</pub-id></element-citation></ref><ref id="bib71"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Siempelkamp</surname><given-names>BD</given-names></name><name><surname>Rathinaswamy</surname><given-names>MK</given-names></name><name><surname>Jenkins</surname><given-names>ML</given-names></name><name><surname>Burke</surname><given-names>JE</given-names></name></person-group><year iso-8601-date="2017">2017</year><article-title>Molecular mechanism of activation of class IA phosphoinositide 3-kinases (PI3Ks) by membrane-localized HRas</article-title><source>The Journal of Biological Chemistry</source><volume>292</volume><fpage>12256</fpage><lpage>12266</lpage><pub-id pub-id-type="doi">10.1074/jbc.M117.789263</pub-id><pub-id pub-id-type="pmid">28515318</pub-id></element-citation></ref><ref id="bib72"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Stephens</surname><given-names>LR</given-names></name><name><surname>Hughes</surname><given-names>KT</given-names></name><name><surname>Irvine</surname><given-names>RF</given-names></name></person-group><year iso-8601-date="1991">1991</year><article-title>Pathway of phosphatidylinositol(3,4,5)-trisphosphate synthesis in activated neutrophils</article-title><source>Nature</source><volume>351</volume><fpage>33</fpage><lpage>39</lpage><pub-id pub-id-type="doi">10.1038/351033a0</pub-id><pub-id pub-id-type="pmid">1851250</pub-id></element-citation></ref><ref id="bib73"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Stephens</surname><given-names>LR</given-names></name><name><surname>Jackson</surname><given-names>TR</given-names></name><name><surname>Hawkins</surname><given-names>PT</given-names></name></person-group><year iso-8601-date="1993">1993</year><article-title>Agonist-stimulated synthesis of phosphatidylinositol(3,4,5)-trisphosphate</article-title><source>Biochimica et Biophysica Acta - Molecular Cell Research</source><volume>1179</volume><fpage>27</fpage><lpage>75</lpage><pub-id pub-id-type="doi">10.1016/0167-4889(93)90072-W</pub-id></element-citation></ref><ref id="bib74"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Suire</surname><given-names>S</given-names></name><name><surname>Lécureuil</surname><given-names>C</given-names></name></person-group><year iso-8601-date="2012">2012</year><article-title>GPCR activation of ras and PI3Kγ in neutrophils depends on PLCβ2/Β3 and the RasGEF RasGRP4: PI3Kγ regulation by a PLCβ/RasGRP4/Ras pathway</article-title><source>The EMBO Journal</source><volume>31</volume><fpage>3118</fpage><lpage>3129</lpage><pub-id pub-id-type="doi">10.1038/emboj.2012.167</pub-id></element-citation></ref><ref id="bib75"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Vadas</surname><given-names>O</given-names></name><name><surname>Burke</surname><given-names>JE</given-names></name><name><surname>Zhang</surname><given-names>X</given-names></name><name><surname>Berndt</surname><given-names>A</given-names></name><name><surname>Williams</surname><given-names>RL</given-names></name></person-group><year iso-8601-date="2011">2011</year><article-title>Structural basis for activation and inhibition of class I phosphoinositide 3-kinases</article-title><source>Science Signaling</source><volume>4</volume><elocation-id>re2</elocation-id><pub-id pub-id-type="doi">10.1126/scisignal.2002165</pub-id><pub-id pub-id-type="pmid">22009150</pub-id></element-citation></ref><ref id="bib76"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Varadi</surname><given-names>M</given-names></name><name><surname>Anyango</surname><given-names>S</given-names></name><name><surname>Deshpande</surname><given-names>M</given-names></name><name><surname>Nair</surname><given-names>S</given-names></name><name><surname>Natassia</surname><given-names>C</given-names></name><name><surname>Yordanova</surname><given-names>G</given-names></name><name><surname>Yuan</surname><given-names>D</given-names></name><name><surname>Stroe</surname><given-names>O</given-names></name><name><surname>Wood</surname><given-names>G</given-names></name><name><surname>Laydon</surname><given-names>A</given-names></name><name><surname>Žídek</surname><given-names>A</given-names></name><name><surname>Green</surname><given-names>T</given-names></name><name><surname>Tunyasuvunakool</surname><given-names>K</given-names></name><name><surname>Petersen</surname><given-names>S</given-names></name><name><surname>Jumper</surname><given-names>J</given-names></name><name><surname>Clancy</surname><given-names>E</given-names></name><name><surname>Green</surname><given-names>R</given-names></name><name><surname>Vora</surname><given-names>A</given-names></name><name><surname>Lutfi</surname><given-names>M</given-names></name><name><surname>Figurnov</surname><given-names>M</given-names></name><name><surname>Cowie</surname><given-names>A</given-names></name><name><surname>Hobbs</surname><given-names>N</given-names></name><name><surname>Kohli</surname><given-names>P</given-names></name><name><surname>Kleywegt</surname><given-names>G</given-names></name><name><surname>Birney</surname><given-names>E</given-names></name><name><surname>Hassabis</surname><given-names>D</given-names></name><name><surname>Velankar</surname><given-names>S</given-names></name></person-group><year iso-8601-date="2022">2022</year><article-title>AlphaFold Protein Structure Database: massively expanding the structural coverage of protein-sequence space with high-accuracy models</article-title><source>Nucleic Acids Research</source><volume>50</volume><fpage>D439</fpage><lpage>D444</lpage><pub-id pub-id-type="doi">10.1093/nar/gkab1061</pub-id><pub-id pub-id-type="pmid">34791371</pub-id></element-citation></ref><ref id="bib77"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Waksman</surname><given-names>G</given-names></name><name><surname>Kominos</surname><given-names>D</given-names></name><name><surname>Robertson</surname><given-names>SC</given-names></name><name><surname>Pant</surname><given-names>N</given-names></name><name><surname>Baltimore</surname><given-names>D</given-names></name><name><surname>Birge</surname><given-names>RB</given-names></name><name><surname>Cowburn</surname><given-names>D</given-names></name><name><surname>Hanafusa</surname><given-names>H</given-names></name><name><surname>Mayer</surname><given-names>BJ</given-names></name><name><surname>Overduin</surname><given-names>M</given-names></name><name><surname>Resh</surname><given-names>MD</given-names></name><name><surname>Rios</surname><given-names>CB</given-names></name><name><surname>Silverman</surname><given-names>L</given-names></name><name><surname>Kuriyan</surname><given-names>J</given-names></name></person-group><year iso-8601-date="1992">1992</year><article-title>Crystal structure of the phosphotyrosine recognition domain SH2 of V-src complexed with tyrosine-phosphorylated peptides</article-title><source>Nature</source><volume>358</volume><fpage>646</fpage><lpage>653</lpage><pub-id pub-id-type="doi">10.1038/358646a0</pub-id><pub-id pub-id-type="pmid">1379696</pub-id></element-citation></ref><ref id="bib78"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Wang</surname><given-names>Q</given-names></name><name><surname>Vogan</surname><given-names>EM</given-names></name><name><surname>Nocka</surname><given-names>LM</given-names></name><name><surname>Rosen</surname><given-names>CE</given-names></name><name><surname>Zorn</surname><given-names>JA</given-names></name><name><surname>Harrison</surname><given-names>SC</given-names></name><name><surname>Kuriyan</surname><given-names>J</given-names></name></person-group><year iso-8601-date="2015">2015</year><article-title>Autoinhibition of Bruton’s tyrosine kinase (Btk) and activation by soluble inositol hexakisphosphate</article-title><source>eLife</source><volume>4</volume><elocation-id>e06074</elocation-id><pub-id pub-id-type="doi">10.7554/eLife.06074</pub-id><pub-id pub-id-type="pmid">25699547</pub-id></element-citation></ref><ref id="bib79"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Weiner</surname><given-names>OD</given-names></name></person-group><year iso-8601-date="2002">2002</year><article-title>Rac activation: P-Rex1 — A convergence point for PIP3 and Gβγ?</article-title><source>Current Biology</source><volume>12</volume><fpage>R429</fpage><lpage>R431</lpage><pub-id pub-id-type="doi">10.1016/S0960-9822(02)00917-X</pub-id></element-citation></ref><ref id="bib80"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Wenk</surname><given-names>MR</given-names></name><name><surname>Lucast</surname><given-names>L</given-names></name><name><surname>Di Paolo</surname><given-names>G</given-names></name><name><surname>Romanelli</surname><given-names>AJ</given-names></name><name><surname>Suchy</surname><given-names>SF</given-names></name><name><surname>Nussbaum</surname><given-names>RL</given-names></name><name><surname>Cline</surname><given-names>GW</given-names></name><name><surname>Shulman</surname><given-names>GI</given-names></name><name><surname>McMurray</surname><given-names>W</given-names></name><name><surname>De Camilli</surname><given-names>P</given-names></name></person-group><year iso-8601-date="2003">2003</year><article-title>Phosphoinositide profiling in complex lipid mixtures using electrospray ionization mass spectrometry</article-title><source>Nature Biotechnology</source><volume>21</volume><fpage>813</fpage><lpage>817</lpage><pub-id pub-id-type="doi">10.1038/nbt837</pub-id><pub-id pub-id-type="pmid">12808461</pub-id></element-citation></ref><ref id="bib81"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Wnętrzak</surname><given-names>A</given-names></name><name><surname>Lątka</surname><given-names>K</given-names></name><name><surname>Dynarowicz-Łątka</surname><given-names>P</given-names></name></person-group><year iso-8601-date="2013">2013</year><article-title>Interactions of alkylphosphocholines with model membranes-the Langmuir monolayer study</article-title><source>The Journal of Membrane Biology</source><volume>246</volume><fpage>453</fpage><lpage>466</lpage><pub-id pub-id-type="doi">10.1007/s00232-013-9557-4</pub-id><pub-id pub-id-type="pmid">23673723</pub-id></element-citation></ref><ref id="bib82"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Yang</surname><given-names>HW</given-names></name><name><surname>Shin</surname><given-names>MG</given-names></name><name><surname>Lee</surname><given-names>S</given-names></name><name><surname>Kim</surname><given-names>JR</given-names></name><name><surname>Park</surname><given-names>WS</given-names></name><name><surname>Cho</surname><given-names>KH</given-names></name><name><surname>Meyer</surname><given-names>T</given-names></name><name><surname>Heo</surname><given-names>WD</given-names></name></person-group><year iso-8601-date="2012">2012</year><article-title>Cooperative activation of PI3K by Ras and Rho family small GTPases</article-title><source>Molecular Cell</source><volume>47</volume><fpage>281</fpage><lpage>290</lpage><pub-id pub-id-type="doi">10.1016/j.molcel.2012.05.007</pub-id><pub-id pub-id-type="pmid">22683270</pub-id></element-citation></ref><ref id="bib83"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Yasui</surname><given-names>M</given-names></name><name><surname>Matsuoka</surname><given-names>S</given-names></name><name><surname>Ueda</surname><given-names>M</given-names></name></person-group><year iso-8601-date="2014">2014</year><article-title>PTEN hopping on the cell membrane is regulated via a positively-charged C2 domain</article-title><source>PLOS Computational Biology</source><volume>10</volume><elocation-id>e1003817</elocation-id><pub-id pub-id-type="doi">10.1371/journal.pcbi.1003817</pub-id><pub-id pub-id-type="pmid">25211206</pub-id></element-citation></ref><ref id="bib84"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Yin</surname><given-names>J</given-names></name><name><surname>Lin</surname><given-names>AJ</given-names></name><name><surname>Golan</surname><given-names>DE</given-names></name><name><surname>Walsh</surname><given-names>CT</given-names></name></person-group><year iso-8601-date="2006">2006</year><article-title>Site-specific protein labeling by Sfp phosphopantetheinyl transferase</article-title><source>Nature Protocols</source><volume>1</volume><fpage>280</fpage><lpage>285</lpage><pub-id pub-id-type="doi">10.1038/nprot.2006.43</pub-id><pub-id pub-id-type="pmid">17406245</pub-id></element-citation></ref><ref id="bib85"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Yip</surname><given-names>SC</given-names></name><name><surname>Eddy</surname><given-names>RJ</given-names></name><name><surname>Branch</surname><given-names>AM</given-names></name><name><surname>Pang</surname><given-names>H</given-names></name><name><surname>Wu</surname><given-names>H</given-names></name><name><surname>Yan</surname><given-names>Y</given-names></name><name><surname>Drees</surname><given-names>BE</given-names></name><name><surname>Neilsen</surname><given-names>PO</given-names></name><name><surname>Condeelis</surname><given-names>J</given-names></name><name><surname>Backer</surname><given-names>JM</given-names></name></person-group><year iso-8601-date="2008">2008</year><article-title>Quantification of PtdIns(3,4,5)P(3) dynamics in EGF-stimulated carcinoma cells: a comparison of PH-domain-mediated methods with immunological methods</article-title><source>The Biochemical Journal</source><volume>411</volume><fpage>441</fpage><lpage>448</lpage><pub-id pub-id-type="doi">10.1042/BJ20071179</pub-id><pub-id pub-id-type="pmid">18215145</pub-id></element-citation></ref><ref id="bib86"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Yu</surname><given-names>J</given-names></name><name><surname>Zhang</surname><given-names>Y</given-names></name><name><surname>McIlroy</surname><given-names>J</given-names></name><name><surname>Rordorf-Nikolic</surname><given-names>T</given-names></name><name><surname>Orr</surname><given-names>GA</given-names></name><name><surname>Backer</surname><given-names>JM</given-names></name></person-group><year iso-8601-date="1998">1998</year><article-title>Regulation of the P85/P110 phosphatidylinositol 3’-kinase: stabilization and inhibition of the p110alpha catalytic subunit by the P85 regulatory subunit</article-title><source>Molecular and Cellular Biology</source><volume>18</volume><fpage>1379</fpage><lpage>1387</lpage><pub-id pub-id-type="doi">10.1128/MCB.18.3.1379</pub-id><pub-id pub-id-type="pmid">9488453</pub-id></element-citation></ref><ref id="bib87"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Zenner</surname><given-names>G</given-names></name><name><surname>Vorherr</surname><given-names>T</given-names></name><name><surname>Mustelin</surname><given-names>T</given-names></name><name><surname>Burn</surname><given-names>P</given-names></name></person-group><year iso-8601-date="1996">1996</year><article-title>Differential and multiple binding of signal transducing molecules to the ITAMs of the TCR-zeta chain</article-title><source>Journal of Cellular Biochemistry</source><volume>63</volume><fpage>94</fpage><lpage>103</lpage><pub-id pub-id-type="doi">10.1002/(sici)1097-4644(199610)63:1&lt;94::aid-jcb8&gt;3.0.co;2-v</pub-id><pub-id pub-id-type="pmid">8891907</pub-id></element-citation></ref><ref id="bib88"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Zhang</surname><given-names>X</given-names></name><name><surname>Vadas</surname><given-names>O</given-names></name><name><surname>Perisic</surname><given-names>O</given-names></name><name><surname>Anderson</surname><given-names>KE</given-names></name><name><surname>Clark</surname><given-names>J</given-names></name><name><surname>Hawkins</surname><given-names>PT</given-names></name><name><surname>Stephens</surname><given-names>LR</given-names></name><name><surname>Williams</surname><given-names>RL</given-names></name></person-group><year iso-8601-date="2011">2011</year><article-title>Structure of lipid kinase p110β/p85β elucidates an unusual SH2-domain-mediated inhibitory mechanism</article-title><source>Molecular Cell</source><volume>41</volume><fpage>567</fpage><lpage>578</lpage><pub-id pub-id-type="doi">10.1016/j.molcel.2011.01.026</pub-id><pub-id pub-id-type="pmid">21362552</pub-id></element-citation></ref><ref id="bib89"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Ziemba</surname><given-names>BP</given-names></name><name><surname>Falke</surname><given-names>JJ</given-names></name></person-group><year iso-8601-date="2013">2013</year><article-title>Lateral diffusion of peripheral membrane proteins on supported lipid bilayers is controlled by the additive frictional drags of (1) bound lipids and (2) protein domains penetrating into the bilayer hydrocarbon core</article-title><source>Chemistry and Physics of Lipids</source><volume>172–173</volume><fpage>67</fpage><lpage>77</lpage><pub-id pub-id-type="doi">10.1016/j.chemphyslip.2013.04.005</pub-id><pub-id pub-id-type="pmid">23701821</pub-id></element-citation></ref><ref id="bib90"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Ziemba</surname><given-names>BP</given-names></name><name><surname>Burke</surname><given-names>JE</given-names></name><name><surname>Masson</surname><given-names>G</given-names></name><name><surname>Williams</surname><given-names>RL</given-names></name><name><surname>Falke</surname><given-names>JJ</given-names></name></person-group><year iso-8601-date="2016">2016</year><article-title>Regulation of PI3K by PKC and MARCKS: Single-molecule analysis of a reconstituted signaling pathway</article-title><source>Biophysical Journal</source><volume>110</volume><fpage>1811</fpage><lpage>1825</lpage><pub-id pub-id-type="doi">10.1016/j.bpj.2016.03.001</pub-id><pub-id pub-id-type="pmid">27119641</pub-id></element-citation></ref></ref-list><app-group><app id="appendix-1"><title>Appendix 1</title><table-wrap id="app1keyresource" position="anchor"><label>Appendix 1—key resources table</label><table frame="hsides" rules="groups"><thead><tr><th align="left" valign="top">Reagent type (species) or resource</th><th align="left" valign="top">Designation</th><th align="left" valign="top">Source or reference</th><th align="left" valign="top">Identifiers</th><th align="left" valign="top">Additional information</th></tr></thead><tbody><tr><td align="left" valign="top">Chemical compound, drug</td><td align="left" valign="top">AccuPrime Pfx master mix</td><td align="left" valign="top">Thermo Fisher</td><td align="char" char="." valign="top">12344040</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Chemical compound, drug</td><td align="left" valign="top">Pfu Ultra High-Fidelity DNA Polymerase</td><td align="left" valign="top">Agilent</td><td align="char" char="." valign="top">600380</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Chemical compound, drug</td><td align="left" valign="top">Fugene transfection reagent</td><td align="left" valign="top">Thermo Fisher</td><td align="char" char="." valign="top">10362100</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Chemical compound, drug</td><td align="left" valign="top">SIGMAFAST Protease Inhibitor Cocktail Tablets, EDTA-Free</td><td align="left" valign="top">Sigma</td><td align="left" valign="top">P8830</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Chemical compound, drug</td><td align="left" valign="top">Beta-mercaptoethanol</td><td align="left" valign="top">Sigma</td><td align="left" valign="top">M3148-100ML</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Chemical compound, drug</td><td align="left" valign="top">PMSF</td><td align="left" valign="top">Sigma</td><td align="left" valign="top">P7626</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Chemical compound, drug</td><td align="left" valign="top">Guanosine 5′-diphosphate (GDP) sodium salt hydrate</td><td align="left" valign="top">Sigma</td><td align="left" valign="top">G7127-100MG</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Chemical compound, drug</td><td align="left" valign="top">Guanosine 5′-triphosphate (GTP) sodium salt hydrate</td><td align="left" valign="top">Sigma</td><td align="left" valign="top">G8877-250MG</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Chemical compound, drug</td><td align="left" valign="top">Sodium deoxycholate</td><td align="left" valign="top">Sigma</td><td align="left" valign="top">D6750</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Chemical compound, drug</td><td align="left" valign="top">C<sub>12</sub>E<sub>10</sub> (Polyoxyethylene (10) lauryl ether)</td><td align="left" valign="top">Sigma</td><td align="left" valign="top">P9769</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Chemical compound, drug</td><td align="left" valign="top">CHAPS</td><td align="left" valign="top">Thermo Fisher</td><td align="left" valign="top">J6735909</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Chemical compound, drug</td><td align="left" valign="top">1,2-dioleoyl-sn-glycero-3-phosphocholine (18:1 DOPC)</td><td align="left" valign="top">Avanti</td><td align="char" char="." valign="top">850375 C</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Chemical compound, drug</td><td align="left" valign="top">1,2-dioleoyl-sn-glycero-3-phospho-L-serine (18:1 DOPS)</td><td align="left" valign="top">Avanti</td><td align="char" char="." valign="top">840035 C</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Chemical compound, drug</td><td align="left" valign="top">1,2-dioleoyl-sn-glycero-3-phosphoethanolamine (18:1 Δ9-Cis) DOPE</td><td align="left" valign="top">Avanti</td><td align="char" char="." valign="top">850725 C</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Chemical compound, drug</td><td align="left" valign="top">L-α-phosphatidylinositol-4,5-bisphosphate (Brain PI(4,5)P<sub>2</sub>)</td><td align="left" valign="top">Avanti</td><td align="char" char="." valign="top">840046 X</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Chemical compound, drug</td><td align="left" valign="top">phosphatidylinositol 4,5-bisphosphate 18:0/20:4 (PI(4,5)P<sub>2</sub>)</td><td align="left" valign="top">Echelon</td><td align="left" valign="top">P-4524</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Chemical compound, drug</td><td align="left" valign="top">1,2-dioleoyl-sn-glycero-3-phosphoethanolamine-N-<break/>[4-(p-maleimidomethyl)cyclohexane-carboxamide] (18:1 MCC-PE)</td><td align="left" valign="top">Avanti</td><td align="char" char="." valign="top">780201 C</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Chemical compound, drug</td><td align="left" valign="top">10 x PBS [pH 7.4]</td><td align="left" valign="top">Corning</td><td align="char" char="ndash" valign="top">46–013 CM</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Chemical compound, drug</td><td align="left" valign="top">Trolox</td><td align="left" valign="top">Cayman Chemicals</td><td align="char" char="." valign="top">10011659</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Chemical compound, drug</td><td align="left" valign="top">Dyomics 647 maleimide</td><td align="left" valign="top">Dyomics</td><td align="char" char="." valign="top">647 P1-03</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Chemical compound, drug</td><td align="left" valign="top">Cy3 maleimide</td><td align="left" valign="top">Cytiva</td><td align="left" valign="top">PA23031</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Chemical compound, drug</td><td align="left" valign="top">Cy5 maleimide</td><td align="left" valign="top">Cytiva</td><td align="left" valign="top">PA15131</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Chemical compound, drug</td><td align="left" valign="top">Cy3 Mono NHS Ester</td><td align="left" valign="top">Cytiva</td><td align="left" valign="top">PA13101</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Chemical compound, drug</td><td align="left" valign="top">SNAP-Surface Alexa Fluor 488</td><td align="left" valign="top">NEB</td><td align="left" valign="top">S9129S</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Chemical compound, drug</td><td align="left" valign="top">SNAP-Surface Alexa Fluor 546</td><td align="left" valign="top">NEB</td><td align="left" valign="top">S9132S</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Chemical compound, drug</td><td align="left" valign="top">SNAP-Surface Alexa Fluor 647</td><td align="left" valign="top">NEB</td><td align="left" valign="top">S9136S</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Chemical compound, drug</td><td align="left" valign="top">Coenzyme A</td><td align="left" valign="top">Sigma</td><td align="left" valign="top">C3019</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Chemical compound, drug</td><td align="left" valign="top">Sulfuric acid</td><td align="left" valign="top">Sigma</td><td align="char" char="ndash" valign="top">58105–2.5 L-PC</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Peptide, recombinant protein</td><td align="left" valign="top">glucose oxidase (Aspergillus niger, 225 U/mg)</td><td align="left" valign="top">Biophoretics</td><td align="left" valign="top">B01357.02</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Peptide, recombinant protein</td><td align="left" valign="top">catalase (bovine liver)</td><td align="left" valign="top">Sigma</td><td align="left" valign="top">C40-100MG</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Peptide, recombinant protein</td><td align="left" valign="top">10 mg/mL beta casein solution</td><td align="left" valign="top">ThermoFisher</td><td align="char" char="." valign="top">37528</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Peptide, recombinant protein</td><td align="left" valign="top">LPETGG</td><td align="left" valign="top">ELIM Biopharm</td><td align="left" valign="top">custom peptide synthesis</td><td align="char" char="." valign="top">&gt;95% purity</td></tr><tr><td align="left" valign="top">Peptide, recombinant protein</td><td align="left" valign="top">CSDGG(pY)MDMSKDESID(pY)<break/>VPMLDMKGDIKYADIE</td><td align="left" valign="top">ELIM Biopharm</td><td align="left" valign="top">custom peptide synthesis</td><td align="char" char="." valign="top">&gt;95% purity</td></tr><tr><td align="left" valign="top">Peptide, recombinant protein</td><td align="left" valign="top">CSDGG(pY)MDMSKDESID(pY)<break/>VPMLDMKGDIKYADIE-Alexa488</td><td align="left" valign="top">ELIM Biopharm</td><td align="left" valign="top">custom peptide synthesis</td><td align="char" char="." valign="top">&gt;95% purity</td></tr><tr><td align="left" valign="top">Sequence-based reagent</td><td align="left" valign="top"><named-content content-type="sequence">CCTTTTTGGTA</named-content>gcaGATGCG<break/>TCTACTAAAATGCATGGTG</td><td align="left" valign="top">Integrated DNA Technologies (IDT)</td><td align="left" valign="top">FW_ ybbr-PIK3R1 (R358A)</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Sequence-based reagent</td><td align="left" valign="top"><named-content content-type="sequence">GTAGACGCATC</named-content>tgcTACCAAAAA<break/>GGTCCCGTCTGCTGTATC</td><td align="left" valign="top">IDT</td><td align="left" valign="top">RV_ ybbr-PIK3R1 (R358A)</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Sequence-based reagent</td><td align="left" valign="top"><named-content content-type="sequence">CTTTTCTTGTC</named-content>gcgGAGAGC<break/>AGTAAACAGGGCTGC</td><td align="left" valign="top">IDT</td><td align="left" valign="top">FW_ ybbr-PIK3R1 (R358A)</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Sequence-based reagent</td><td align="left" valign="top"><named-content content-type="sequence">GTTTACTGCTCTC</named-content>cgcGACAAG<break/>AAAAGTGCCATCTCGCTTC</td><td align="left" valign="top">IDT</td><td align="left" valign="top">RV_ ybbr-PIK3R1 (R358A)</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Sequence-based reagent</td><td align="left" valign="top"><named-content content-type="sequence">CAAGTCGAGGTGGA</named-content>gatgacTTT<break/>CTTCCTGTATTGAAAGAAATCTTGG</td><td align="left" valign="top">IDT</td><td align="left" valign="top">FW_ his6-TEV-PIK3CB(K532D,K533D)</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Sequence-based reagent</td><td align="left" valign="top"><named-content content-type="sequence">CAATACAGGAAGAAA</named-content>gtcatcTCCAC<break/>CTCGACTTGACACATTAGCAC</td><td align="left" valign="top">IDT</td><td align="left" valign="top">RV_ his6-TEV-PIK3CB(K532D,K533D)</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Recombinant DNA reagent</td><td align="left" valign="top">his10-SUMO3-GGGGG-Rac1(1-192aa)</td><td align="left" valign="top">This paper</td><td align="left" valign="top">pSH752</td><td align="left" valign="top">Bacterial protein expression plasmid</td></tr><tr><td align="left" valign="top">Recombinant DNA reagent</td><td align="left" valign="top">his6-MBP-N10-TEV-GGGGG-P-Rex1 <break/>(40-405aa, DH-PH)</td><td align="left" valign="top">This paper</td><td align="left" valign="top">pSH658</td><td align="left" valign="top">Bacterial protein expression plasmid</td></tr><tr><td align="left" valign="top">Recombinant DNA reagent</td><td align="left" valign="top">his10-SUMO3-p67/phox TRP (Rac1-GTP sensor)</td><td align="left" valign="top">This paper</td><td align="left" valign="top">pSH823</td><td align="left" valign="top">Bacterial protein expression plasmid</td></tr><tr><td align="left" valign="top">Recombinant DNA reagent</td><td align="left" valign="top">his6-GST-TEV-nSH2 PIK3R1(322-440aa)-Cys</td><td align="left" valign="top">This paper</td><td align="left" valign="top">pSH615</td><td align="left" valign="top">Bacterial protein expression plasmid</td></tr><tr><td align="left" valign="top">Recombinant DNA reagent</td><td align="left" valign="top">his6-SUMO-Btk(PH-TH,R49S/K52S)-SNAP</td><td align="left" valign="top">This paper</td><td align="left" valign="top">pSH1313</td><td align="left" valign="top">Bacterial protein expression plasmid</td></tr><tr><td align="left" valign="top">Recombinant DNA reagent</td><td align="left" valign="top">his6-MBP-N10-TEV-GGGGG-Grp1 (261-387aa)</td><td align="left" valign="top">This paper</td><td align="left" valign="top">pSH558</td><td align="left" valign="top">Bacterial protein expression plasmid</td></tr><tr><td align="left" valign="top">Recombinant DNA reagent</td><td align="left" valign="top">his6-TEV-SenP2 (368-589aa, SUMO protease)</td><td align="left" valign="top">This paper</td><td align="left" valign="top">pSH653</td><td align="left" valign="top">Bacterial protein expression plasmid</td></tr><tr><td align="left" valign="top">Recombinant DNA reagent</td><td align="left" valign="top">his6-TEV-PIK3CB (1-1070aa)</td><td align="left" valign="top">This paper</td><td align="left" valign="top">pSH541</td><td align="left" valign="top">Baculovirus expression plasmid</td></tr><tr><td align="left" valign="top">Recombinant DNA reagent</td><td align="left" valign="top">ybbr-PIK3R1 (1-724aa)</td><td align="left" valign="top">This paper</td><td align="left" valign="top">pSH743</td><td align="left" valign="top">Baculovirus expression plasmid</td></tr><tr><td align="left" valign="top">recombinant DNA reagent</td><td align="left" valign="top">ybbr-PIK3R1 (FVLR-&gt;FVLA, R358A)</td><td align="left" valign="top">This paper</td><td align="left" valign="top">pSH1045</td><td align="left" valign="top">Baculovirus expression plasmid</td></tr><tr><td align="left" valign="top">Recombinant DNA reagent</td><td align="left" valign="top">ybbr-PIK3R1 (FVLR-&gt;FVLA, R358A)</td><td align="left" valign="top">This paper</td><td align="left" valign="top">pSH1046</td><td align="left" valign="top">Baculovirus expression plasmid</td></tr><tr><td align="left" valign="top">Recombinant DNA reagent</td><td align="left" valign="top">his6-TEV-PIK3CB (1-1070aa; K532D,K533D)</td><td align="left" valign="top">This paper</td><td align="left" valign="top">pSH1094</td><td align="left" valign="top">Baculovirus expression plasmid</td></tr><tr><td align="left" valign="top">Recombinant DNA reagent</td><td align="left" valign="top">his6-Gg2, Gb1 (DUAL FastBac)</td><td align="left" valign="top">PMID:34452907</td><td align="left" valign="top">pSH414</td><td align="left" valign="top">Baculovirus expression plasmid</td></tr><tr><td align="left" valign="top">Recombinant DNA reagent</td><td align="left" valign="top">his6-Gg2, SNAP-Gb1 (DUAL FastBac)</td><td align="left" valign="top">PMID:34452907</td><td align="left" valign="top">pSH651</td><td align="left" valign="top">Baculovirus expression plasmid</td></tr><tr><td align="left" valign="top">Recombinant DNA reagent</td><td align="left" valign="top">PIK3CG(p110g), TwinStrept-his10-TEV-ybbr-PIK3R5(p101)</td><td align="left" valign="top">PMID:36842083</td><td align="left" valign="top">HP29</td><td align="left" valign="top">Baculovirus expression plasmid</td></tr><tr><td align="left" valign="top">Software, algorithm</td><td align="left" valign="top">GraphPad Prism 9</td><td align="left" valign="top">GraphPad</td><td align="left" valign="top"><ext-link ext-link-type="uri" xlink:href="https://www.graphpad.com">https://www.graphpad.com</ext-link></td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Software, algorithm</td><td align="left" valign="top">Chimera</td><td align="left" valign="top">UCSF</td><td align="left" valign="top"><ext-link ext-link-type="uri" xlink:href="https://www.rbvi.ucsf.edu/chimera/">https://www.rbvi.ucsf.edu/chimera/</ext-link></td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Software, algorithm</td><td align="left" valign="top">ImageJ/Fiji</td><td align="left" valign="top">ImageJ</td><td align="left" valign="top"><ext-link ext-link-type="uri" xlink:href="https://imagej.net/software/fiji/">https://imagej.net/software/fiji/</ext-link></td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Software, algorithm</td><td align="left" valign="top">Nikon NIS elements</td><td align="left" valign="top">Nikon</td><td align="left" valign="top"><ext-link ext-link-type="uri" xlink:href="https://www.microscope.healthcare.nikon.com/products/software/nis-elements">https://www.microscope.healthcare.nikon.com/products/software/nis-elements</ext-link></td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Cell line(Spodoptera frugiperda)</td><td align="left" valign="top">Sf9 insect cells</td><td align="left" valign="top">Expression Systems</td><td align="char" char="ndash" valign="top">94–001 S</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Cell line (Trichoplusiani)</td><td align="left" valign="top">High five insect cells</td><td align="left" valign="top">UC Berkeley Barker Hall Tissue Culture Facility</td><td align="left" valign="top">High five insect cells</td><td align="left" valign="top"/></tr><tr><td align="left" valign="top">Other</td><td align="left" valign="top">ESF 921 Serum-Free Insect Cell Culture media</td><td align="left" valign="top">Expression Systems</td><td align="char" char="hyphen" valign="top">96-001-01</td><td align="left" valign="top">Media for insect cell culture</td></tr><tr><td align="left" valign="top">Other</td><td align="left" valign="top">Fetal Bovine serum</td><td align="left" valign="top">Seradigm</td><td align="char" char="ndash" valign="top">1500–500</td><td align="left" valign="top">Media for insect cell culture</td></tr><tr><td align="left" valign="top">Other</td><td align="left" valign="top">Hellmanex III cleaning solution</td><td align="left" valign="top">Fisher</td><td align="char" char="hyphen" valign="top">14-385-864</td><td align="left" valign="top">Reagent for cleaning coverslips prior to Pirahna etching</td></tr></tbody></table></table-wrap></app></app-group></back><sub-article article-type="editor-report" id="sa0"><front-stub><article-id pub-id-type="doi">10.7554/eLife.88991.3.sa0</article-id><title-group><article-title>eLife assessment</article-title></title-group><contrib-group><contrib contrib-type="author"><name><surname>Dötsch</surname><given-names>Volker</given-names></name><role specific-use="editor">Reviewing Editor</role><aff><institution>Goethe University</institution><country>Germany</country></aff></contrib></contrib-group><kwd-group kwd-group-type="evidence-strength"><kwd>Compelling</kwd></kwd-group><kwd-group kwd-group-type="claim-importance"><kwd>Landmark</kwd></kwd-group></front-stub><body><p>The manuscript describes the synergy among PI3Kβ activators, providing <bold>compelling</bold> results concerning the mechanism of their activation. The particular strengths of the work arise to a great extend from the reconstitution system better mimicking the natural environment of the plasma membrane than previous setups have. The study will be a <bold>landmark</bold> contribution to the signaling field.</p></body></sub-article><sub-article article-type="referee-report" id="sa1"><front-stub><article-id pub-id-type="doi">10.7554/eLife.88991.3.sa1</article-id><title-group><article-title>Reviewer #1 (Public review):</article-title></title-group><contrib-group><contrib contrib-type="author"><anonymous/><role specific-use="referee">Reviewer</role></contrib></contrib-group></front-stub><body><p>The manuscript aims to provide mechanistic insight into the activation of PI3Kβ by its known regulators tyrosine phosphorylated peptides, GTP-loaded Rac1 and G-protein beta-gamma subunits. To achieve this the authors have used supported lipid bilayers, engineered recombinant peptides and proteins (often tagged with fluorophores) and TIRF microscopy to enable bulk (averages of many molecules) and single molecule quantitation. The great strength of this approach is the precision and clarity of mechanistic insight. Although the study does not use &quot;in transfecto&quot; or in vivo models the experiments are performed using &quot;physiologically-based&quot; conditions and provide a powerful insight into core regulatory principles that will be relevant in vivo.</p><p>The results are beautiful, high quality, well controlled and internally consistent (and with other published work that overlaps on some points) and as a result are compelling. The primary conclusion is that the primary regulator of PI3Kβ are tyrosine phosphorylated peptides (and by inference tyrosine phsophorylated receptors/adaptors) and that the other activators can synergise with that input but have relatively weak impacts on their own.</p><p>Although the methodology is not easily imported, for reasons of both cost and the experience needed to execute them well, the results have broad importance for the field and reverse an impression that had built in large parts of the broader signalling and PI3K communities that all of the inputs to PI3Kβ were relatively equivalent, however, these conclusions were based on &quot;in cell&quot; or in vivo studies that were very difficult to interpret clearly.</p></body></sub-article><sub-article article-type="referee-report" id="sa2"><front-stub><article-id pub-id-type="doi">10.7554/eLife.88991.3.sa2</article-id><title-group><article-title>Reviewer #2 (Public review):</article-title></title-group><contrib-group><contrib contrib-type="author"><anonymous/><role specific-use="referee">Reviewer</role></contrib></contrib-group></front-stub><body><p>The manuscript of Duewell et al has made critical observations that help to understand the mechanisms of activation of the class IA PI3Ks. By using single-molecule kinetic measurements, the authors have made outstanding progress toward understanding how PI3Kβ is uniquely activated by phosphorylated tyrosine kinase receptors, Gbeta/gamma heterodimers and the small G protein Rac1. While previous studies have defined these as activators of PI3Kβ, the current manuscript makes clear the quantitative limitations of these previous observations. Most previous quantitative in vitro studies of PI3Kβ activation have used soluble peptides derived from bis-phosphorylated receptors to stimulate the enzyme. These soluble peptides stimulate the enzyme, and even stimulate membrane interaction. Although these previous studies showed that the release of p85-mediated autoinhibition unmasks an intrinsic affinity of the enzyme for lipid membranes, they ignored what would be the consequence of these peptide sequences being present in the context of intrinsic membrane proteins. The current manuscript shows that the effect of membrane-conjugated peptides on the enzyme activity is profound, in terms of recruiting the enzyme to membranes. In this context, the authors show that G proteins associated with the membranes have an important contribution to membrane recruitment, but they also have a profound allosteric effect on the activity on the membrane, These are observations that would not have been possible with bulk measurements, and they do not simply recapitulate observations that were made for other class IA PI3Ks.</p><p>An important observation that the authors have made is that Gbeta/gamma heterodimers and RAc1 alone have almost no ability to recruit PI3Kβ to the membranes that they are using, and this is central to one of the most profoundly novel activation mechanisms offered by the manuscript. The authors propose that the nSH2- and Gbeta/gamma binding sites partially overlap, so that Gbeta/gamma can only bind once the nSH2 domain releases the p110beta subunit. This mechanism would mean that once the nSH2 is engaged by membrane-congugated pY, the Gbg heterodimer can bind and increase the association of the enzyme with membranes. Indeed, this increased membrane association is observed by the authors. However, the authors also show that this increased recruitment to membranes accounts for relatively little increase in activity, and that the far greater component of activation is due to an allosteric effect of the membrane association on the activity of the enzyme. The proposal for competition between Gbg binding and the nSH2 is consistent with the behavior of an nSH2 mutant that cannot bind to pY and which, consequently, does not vacate the Gbg-binding site. In addition to the outstanding contribution to understanding the kinetics of activation of PI3Kβ, the authors have offered the first structural interpretation for the kinetics of Gbg activation in synergy with pY activation. The proposal for an overlapping nSH2/Gbg binding site is supported by predictions made by John Burke, using alphafold multimer. Although there is no experimental structure to support this structural model, it is consistent with HDX-MS analyses that were published previously.</p></body></sub-article><sub-article article-type="author-comment" id="sa3"><front-stub><article-id pub-id-type="doi">10.7554/eLife.88991.3.sa3</article-id><title-group><article-title>Author response</article-title></title-group><contrib-group><contrib contrib-type="author"><name><surname>Duewell</surname><given-names>Benjamin R</given-names></name><role specific-use="author">Author</role><aff><institution>Department of Chemistry and Biochemistry, Institute of Molecular Biology, University of Oregon</institution><addr-line><named-content content-type="city">Eugene</named-content></addr-line><country>United States</country></aff></contrib><contrib contrib-type="author"><name><surname>Wilson</surname><given-names>Naomi E</given-names></name><role specific-use="author">Author</role><aff><institution>Department of Chemistry and Biochemistry, Institute of Molecular Biology, University of Oregon</institution><addr-line><named-content content-type="city">Eugene</named-content></addr-line><country>United States</country></aff></contrib><contrib contrib-type="author"><name><surname>Bailey</surname><given-names>Gabriela M</given-names></name><role specific-use="author">Author</role><aff><institution>Department of Chemistry and Biochemistry, Institute of Molecular Biology, University of Oregon</institution><addr-line><named-content content-type="city">Eugene</named-content></addr-line><country>United States</country></aff></contrib><contrib contrib-type="author"><name><surname>Peabody</surname><given-names>Sarah</given-names></name><role specific-use="author">Author</role><aff><institution>Department of Chemistry and Biochemistry, Institute of Molecular Biology, University of Oregon</institution><addr-line><named-content content-type="city">Eugene</named-content></addr-line><country>United States</country></aff></contrib><contrib contrib-type="author"><name><surname>Hansen</surname><given-names>Scott D</given-names></name><role specific-use="author">Author</role><aff><institution>Department of Chemistry and Biochemistry, Institute of Molecular Biology, University of Oregon</institution><addr-line><named-content content-type="city">Eugene</named-content></addr-line><country>United States</country></aff></contrib></contrib-group></front-stub><body><p>The following is the authors’ response to the original reviews.</p><disp-quote content-type="editor-comment"><p><bold>eLife assessment</bold></p><p>The manuscript describes the synergy among PI3Kβ activators, providing compelling results concerning the mechanism of their activation. The particular strengths of the work arise to a great extent from the reconstitution system better mimicking the natural environment of the plasma membrane than previous setups have. The study will be a landmark contribution to the signaling field.</p><p><bold>Public Reviews:</bold></p><p><bold>Reviewer #1 (Public Review):</bold></p><p>The manuscript aims to provide mechanistic insight into the activation of PI3Kβ by its known regulators tyrosine phosphorylated peptides, GTP-loaded Rac1 and G-protein beta-gamma subunits. To achieve this the authors have used supported lipid bilayers, engineered recombinant peptides and proteins (often tagged with fluorophores) and TIRF microscopy to enable bulk (averages of many molecules) and single molecule quantitation. The great strength of this approach is the precision and clarity of mechanistic insight. Although the study does not use &quot;in transfecto&quot; or in vivo models the experiments are performed using &quot;physiologically-based&quot; conditions and provide a powerful insight into core regulatory principles that will be relevant in vivo.</p><p>The results are beautiful, high quality, well controlled and internally consistent (and with other published work that overlaps on some points) and as a result are compelling. The primary conclusion is that the primary regulator of PI3Kβ are tyrosine phosphorylated peptides (and by inference tyrosine phosphorylated receptors/adaptors) and that the other activators can synergise with that input but have relatively weak impacts on their own.</p><p>Although the methodology is not easily imported, for reasons of both cost and the experience needed to execute them well, the results have broad importance for the field and reverse an impression that had built in large parts of the broader signalling and PI3K communities that all of the inputs to PI3Kβ were relatively equivalent, however, these conclusions were based on &quot;in cell&quot; or in vivo studies that were very difficult to interpret clearly.</p><p><bold>Reviewer #2 (Public Review):</bold></p><p>The manuscript of Duewell et al has made critical observations that help to understand the mechanisms of activation of the class IA PI3Ks. By using single-molecule kinetic measurements, the authors have made outstanding progress toward understanding how PI3Kβ is uniquely activated by phosphorylated tyrosine kinase receptors, Gbeta/gamma heterodimers and the small G protein Rac1. While previous studies have defined these as activators of PI3Kβ, the current manuscript makes clear the quantitative limitations of these previous observations. Most previous quantitative in vitro studies of PI3Kβ activation have used soluble peptides derived from bis-phosphorylated receptors to stimulate the enzyme. These soluble peptides stimulate the enzyme, and even stimulate membrane interaction. Although these previous studies showed that the release of p85-mediated autoinhibition unmasks an intrinsic affinity of the enzyme for lipid membranes, they ignored what would be the consequence of these peptide sequences being present in the context of intrinsic membrane proteins. The current manuscript shows that the effect of membrane-conjugated peptides on the enzyme activity is profound, in terms of recruiting the enzyme to membranes. In this context, the authors show that G proteins associated with the membranes have an important contribution to membrane recruitment, but they also have a profound allosteric effect on the activity on the membrane, These are observations that would not have been possible with bulk measurements, and they do not simply recapitulate observations that were made for other class IA PI3Ks.</p><p>An important observation that the authors have made is that Gbeta/gamma heterodimers and RAc1 alone have almost no ability to recruit PI3Kβ to the membranes that they are using, and this is central to one of the most profoundly novel activation mechanisms offered by the manuscript. The authors propose that the nSH2- and Gbeta/gamma binding sites partially overlap, so that Gbeta/gamma can only bind once the nSH2 domain releases the p110beta subunit. This mechanism would mean that once the nSH2 is engaged by membrane-conjugated pY, the Gbg heterodimer can bind and increase the association of the enzyme with membranes. Indeed, this increased membrane association is observed by the authors. However, the authors also show that this increased recruitment to membranes accounts for relatively little increase in activity, and that the far greater component of activation is due to an allosteric effect of the membrane association on the activity of the enzyme. The proposal for competition between Gbg binding and the nSH2 is consistent with the behavior of an nSH2 mutant that cannot bind to pY and which, consequently, does not vacate the Gbg-binding site. In addition to the outstanding contribution to understanding the kinetics of activation of PI3Kβ, the authors have offered the first structural interpretation for the kinetics of Gbg activation in synergy with pY activation. The proposal for an overlapping nSH2/Gbg binding site is supported by predictions made by John Burke, using alphafold multimer. Although there is no experimental structure to support this structural model, it is consistent with HDX-MS analyses that were published previously.</p><p><bold>Reviewer #1 (Recommendations For The Authors):</bold></p><p>1. The approx relative concentrations (surface densities ) of Rac1-GTP, GBetagammas and PY-peptides used in experiments in Fig 1 are not easy to understand and useful to give an intuitive feel for the relative sensitivity of the PI3Kβ reporter to those inputs.</p></disp-quote><p>In our revised manuscript, we provide densities of the individual signaling inputs used to reconstitute Dy647-PI3Kβ membrane recruitment (see Figure legend 1). We provide a more detailed explanation about our quantification method in subsequent figures where the membrane surface density of signaling inputs is varied to modulate the strength of PI3Kβ membrane localization and activity.</p><p>Building off the quantification of Rac1-GTP and pY membrane density measurements presented in our initial manuscript submission, we now include an estimate of the GβGγ membrane density. For these new measurements, we recombinantly expressed and purified additional SNAP-GβGγ protein, which we fluorescently labeled with AlexaFluor 555. The membrane surface density of GβGγ was quantified at equilibrium using a combination of AF488-SNAP-GβGγ (bulk signal) and dilute AF555-SNAP-GβGγ (0.0025%), which allowed us to resolve and count the single molecule density (Figure 3A). We calculate the total surface density of GβGγ based on the AF555-SNAP-GβGγ dilution factor. In the methods section titled, “surface density calibration,” we describe our protocol.</p><disp-quote content-type="editor-comment"><p>1. The estimates of the PIP3 concentrations/densities measured using the BTK reporter seem good but its unclear (to me) how they were derived.</p></disp-quote><p>The density of PI(3,4,5)P3 lipids in our supported lipid bilayers was calculated based on the incorporation of a define molar ratio of PI(3,4,5)P3 in our small unilamellar vesicles. Based on the average footprint of 0.72 nm2 for a single lipid, we calculated the density of lipids per µm2. In the methods section titled, “kinetic measurements of PI(3,4,5)P3 lipid production,” we include the following description:</p><p>“Assuming an average footprint of 0.72 nm2 for phosphatidylcholine (Carnie et al., 1979; Hansen et al., 2019), we calculated a density of 2.8 × 104 PI(3,4,5)P3 lipids/μm2 for supported membranes that contain an initial concentrations of 2% PI(4,5)P2. We assume that the plateau fluorescence intensity of the AF488-SNAP-Btk sensor following reaction completion in the presence of PI3Kβ represents the production of 2% PI(3,4,5)P3. The bulk membrane intensity of AF488-SNAP-Btk was normalized from 0 to 1, and then multiplied times the total density of PI(3,4,5)P3 lipids to generate kinetic traces that report the kinetics of PI(3,4,5)P3 production.”</p><disp-quote content-type="editor-comment"><p>Minor points</p><p>l164; Rac1(GTP) AND GBeta gammas. In this context it should be OR. Or have I misunderstood?</p><p>l1093; kineticS measurementS.</p></disp-quote><p>Thank you for pointing out these typos. We made the appropriate edits.</p><disp-quote content-type="editor-comment"><p>The paper of Suire etal (Suire, S., Lécureuil, C., Anderson, K. E., Damoulakis, G., Niewczas, I., Davidson, K., Guillou, H., Pan, D., Jonathan Clark, Phillip T Hawkins, &amp; Stephens, L. (2012). GPCR activation of Ras and PI3Kc in neutrophils depends on PLCb2/b3 and the RasGEF RasGRP4. The EMBO journal, 31(14), 3118-3129. <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.1038/emboj.2012.167">https://doi.org/10.1038/emboj.2012.167</ext-link>) make the point that in vivo it appears that although Ras-activation is required for full activation of PI3Kgamma (and can activate PI3Kgamma in vitro directly) if you use tools to activate Ras in the absence of receptor and Gbetagamma signalling, it has no affect on PIP3 . This directly supports the authors conclusions.</p></disp-quote><p>Thank you for sharing this citation. We incorporated the reviewer’s insight into our discussion section to broaden the significance of our work.</p><disp-quote content-type="editor-comment"><p><bold>Reviewer #2 (Recommendations For The Authors):</bold></p><p>There are only a few relatively minor points that could be addressed to improve the paper:</p><p>1. Why is the density still going up after 10 minutes in Figure 1 Figure supplement 2?Doesn't this seem like a very long time? Are we seeing fast on/off combined with fast on/slow off? Are the particles eventually becoming stuck in odd places or are they slowly denaturing?</p></disp-quote><p>Our movies do not indicate a slow accumulation of immobilized or stuck Dy647-PI3Kβ particles on the membrane surface. On the long timescale, we believe that a small fraction of Dy647-PI3Kβ molecular do exhibit longer dwell times on membranes containing a high density of pY (&gt;6,000 molecules/µm2). This is likely due to membrane hopping of Dy647-PI3Kβ. In other words, rather than Dy647-PI3Kβ dissociating from the membrane surface directly into the solution, the Dy647-PI3Kβ molecule immediately rebinds to another membrane conjugated pY peptide. This type of behavior of a peripheral membrane binding protein is generally correlated with there being a higher surface density of the binding partner (Yasui et al., 2014). Characterization of potential Dy647-PI3Kβ membrane hopping will require additional experimentation (e.g. PI3Kβ mutants) and quantitative analysis that goes beyond the scope of this study.</p><disp-quote content-type="editor-comment"><p>1. Lines 188-189. &quot;By quantifying the average number of Alexa488-pY particles per unit area of supported membrane we calculated the absolute density of pY per μm2 (Figure 2D).I think this should be Figure 2C, right hand y-axis.</p></disp-quote><p>Thank you for identifying our typo. We’ve corrected the text for clarity.</p><disp-quote content-type="editor-comment"><p>1. Lines 102-193. &quot;When Dy647-PI3Kβ was flowed over a membrane containing a low density of {less than or equal to} 500 pY/μm2, we observed rapid equilibration kinetics consistent with a 1:1 binding stoichiometry (Figure 2E).” There is no density shown in Fig. 2E. There is only &quot;membrane intensity.&quot; Perhaps it was their intent to include a right-hand axis with density (number of particles/area), as they did in Figure 2C. However, they did not, so Figure 2E does not support the text. The value of Intensity/#py/um**2 does not appear to be the same for Figure 2C as for Figure 2E, assuming that the statement in the text is correct. The authors should include the density as a right-hand axis in 2E.</p></disp-quote><p>We have reworded this portion of the results section for clarity. In reading the reviewers comment, we recognize that a more convincing way to support our claim of a 1:1 binding stoichiometry would be to show that there are ~500 Dy647-PI3Kβ/μm2 membrane bound complexes when the pY surface density equals ~500 pY/μm2. For us to make this connection, we would need to perform experiments using a Dy647-PI3Kβ concentration that fully saturates all the binding pY binding sites. However, at this elevated Dy647-PI3Kβ solution concentration, individual Dy647-PI3Kβ complexes can start to bind to a single phosphotyrosine of the dually phosphorylated peptide due to competition for pY binding sites. As an alternative to performing the experiment described above, we can infer binding stoichiometry from the shape of the membrane absorption kinetic traces. For example, a simple bimolecular interaction exhibits rapid equilibration kinetics with a hyperbolic shaped kinetic trace. Systems that have more complex binding equilibria, however, generally take longer to equilibrate (due to the change in KOFF) and can often be broken down into 2 or 3 distinct dissociation constants (KD). This type of kinetic analysis has previously been used to describe multivalent membrane binding interactions for the Btk-PI(3,4,5)P3 (Chung et al., 2019) and PI3Kγ-GβGγ (Rathinaswamy et al., 2021) complexes. Considering that there are multiple interpretations of the Dy647-PI3Kβ membrane absorption traces show in Figure 2E, we refrain from saying that our results explicitly reveal a 1:1 binding stoichiometry. Instead, we provide several possible explanations for the results. Ultimately, additional experiments and kinetic modeling of wild type and mutant PI3Kβ is necessary to define the binding stoichiometry under different conditions.</p><disp-quote content-type="editor-comment"><p>1. Table 1. The authors have analysed the data to extract two dwell times and two diffusion coefficients. The legend should make this clear, referring to D1 as the slow diffusion component and D2 as fast diffusion, similarly, there are short and long dell times. This should be stated in the legend. There are two columns labelled &quot;alpha&quot;. This presumably should be alpha1 and alpha2, the fractions of particles with short and long dwell times. The table legend should clarify this.</p></disp-quote><p>In our revision, additional text has been added to the figure legends and Table 1.</p><p>Text from Table 1: “Alpha (α<sub>τ</sub>) equals the fraction of molecules with the characteristic dwell time, τ1 (DT = dwell time). The fraction of molecules with the characteristic dwell time, τ2, equals 1-α<sub>τ</sub>. Alpha (αD) equals the fraction of molecules with the characteristic diffusion coefficient, D1. The fraction of molecules with diffusion coefficient, D2, equals 1-αD.”</p><disp-quote content-type="editor-comment"><p>1. In the legend for Figure 5 figure supplement 1, for part D, the &quot;Cumulative membrane of binding events...&quot; The &quot;of&quot; should be deleted.</p></disp-quote><p>Thank you for identifying this typo.</p><disp-quote content-type="editor-comment"><p>1. Lines 423-426: &quot;We found that PI3Kβ kinase activity is also relatively insensitive to eitherRac1(GTP) or GβGγ alone. This is in contrast to previous reports that showed Rho-GTPases (Fritsch et al. 2013) and GβGγ (Katada et al. 1999; Hashem A. Dbouk et al. 2012; Maier, Babich, and Nürnberg 1999) can activate PI3Kβ, albeit modest, compared to synergistic activation with pY peptides plus Rac1(GTP) or GβGγ.&quot; It is not clear what this statement means. On the surface, it might be interpreted as saying that these previous studies had some flaw that led the authors to conclude that there is some activation caused by Rac1 or Gbeta/gamma on their own. The current manuscript is an important contribution to understanding the mechanism of synergistic activation, but it is also true that the Hansen and his colleagues have not used the same membranes as were used previously. The authors state that they have used a wide range of membrane compositions, but the only ones that have appeared in the manuscript are nearly pure PC (with 2% PIP2) or PC with 20% PS. Extensive studies with varying membrane compositions are beyond the scope of the current study, since the current manuscript concisely makes important observations regarding mechanism. However, it would be helpful for readers if the authors at least mention the differences in membrane compositions among the studies.</p></disp-quote><p>The reviewer raises an important point concerning our interpretation of PI3Kβ activation data in relationship to existing literature. In our original submission, we made conclusions concerning how individual signaling inputs modulate PI3Kβ activity, without showing all our data or providing sufficient explanation. In our revised manuscript, we include PI3Kβ kinase activity measurements performed in the presence of either pY, Rac1(GTP), or GβGγ alone (Figure 5B-5C). These experiments were reconstituted on supported membranes in the absence or presence of 20% PS lipids. We found that increasing the density of anionic lipids increased the overall activity of PI3Kβ in the presence of pY or GβGγ alone. This is consistent with a subtle increase in PI3Kβ membrane affinity due to the negatively charged PS lipids. Mutations that disrupt the direct interaction between PI3Kβ and GβGγ eliminated the observed lipid kinase activity. We were unable to detect PI3Kβ activity in the presence of Rac1(GTP) alone. In conclusion, we’re able to detect some PI3Kβ activity in the presence of GβGγ alone, which is consistent with previous reports (Dbouk et al., 2010; Katada et al., 1999; Maier et al., 2000). In the future, a more comprehensive analysis will be required to map the relationship between PI3Kβ activity, membrane localization, and lipid composition. For example, previous reconstitutions have revealed differential activation of PI3Kα that depends on the most abundant lipid being phosphatidylethanolamine (PE) rather than phosphatidylcholine (PC) (Hon et al., 2012; Ziemba et al., 2016). PE lipids comprise 25-30% of the cellular plasma membrane (Yang et al., 2018) and have been used in previous studies to measure PI3K lipid kinase activity on small unilamellar vesicles (Dbouk et al., 2010; Hon et al., 2012).</p><p>In this study, we elected to use a simplified membrane composition that minimized non-specific membrane localization of fluorescently labeled PI3Kβ. This allowed us to more clearly define the strength of individual and combinations of protein-protein interactions that regulate PI3Kβ localization and kinase activity. When reconstituting amphiphilic molecules (i.e. lipids) in aqueous solution a variety of structures, including micelles, inverted micelles, and planar bilayers can form based on the lipid composition (Kulkarni, 2019). The organization of these membrane structures is related to the molecular packing parameter of the individual phospholipids (Israelachvili et al., 1976). The packing parameter (P=v⁄((a•l_c))) depends on the volume of the hydrocarbon (v), area of the lipid head group (a), and the lipid tail length (l_c). When generating supported lipid bilayers on a flat two-dimensional glass surface, we aim to create a fluid lamellar membrane. We find that phosphatidylcholine (PC) lipids are ideal for making supported lipid bilayers because they have a packing parameter of ~1 (Costigan et al., 2000). In other words, PC lipids are cylindrical like a paper towel roll. In contrast, cholesterol and phosphatidylethanolamine (PE) lipids have packing parameters of 1.22 and 1.11, respectively (Angelov et al., 1999; Carnie et al., 1979). This gives cholesterol and PE lipids an inverted truncated cone shape, which prefers to adopt a non-lamellar phase structure. Due to the intrinsic negative curvature of PE lipids, they can spontaneously form inverted micelles (i.e. hexagonal II phase) in aqueous solution when they are the predominant lipid species (Israelachvili et al., 1980; Kobierski et al., 2022; Wnętrzak et al., 2013). In the methods section of our manuscript, we note that from our experience incorporation of PE lipids dramatically reduces the protein-maleimide coupling efficiency, displayed more membrane defects, and resulted in a larger fraction of surface immobilized Dy647-PI3Kβ. This could be related to the intrinsic negative curvature of PE membranes. However, further investigation is needed to decipher these issues.</p><p>Angelov B, Ollivon M, Angelova A. 1999. X-ray Diffraction Study of the Effect of the Detergent Octyl Glucoside on the Structure of Lamellar and Nonlamellar Lipid/Water Phases of Use for Membrane Protein Reconstitution. Langmuir 15:8225–8234. doi:10.1021/la9902338</p><p>Carnie S, Israelachvili JN, Pailthorpe BA. 1979. Lipid packing and transbilayer asymmetries of mixed lipid vesicles. Biochim Biophys Acta 554:340–357. doi:10.1016/0005-2736(79)90375-4</p><p>Chung JK, Nocka LM, Decker A, Wang Q, Kadlecek TA, Weiss A, Kuriyan J, Groves JT. 2019. Switch-like activation of Bruton’s tyrosine kinase by membrane-mediated dimerization. Proc Natl Acad Sci 116:10798–10803. doi:10.1073/pnas.1819309116</p><p>Costigan SC, Booth PJ, Templer RH. 2000. Estimations of lipid bilayer geometry in fluid lamellar phases. Biochim Biophys Acta 1468:41–54. doi:10.1016/s0005-2736(00)00220-0</p><p>Dbouk HA, Pang H, Fiser A, Backer JM. 2010. A biochemical mechanism for the oncogenic potential of the p110 catalytic subunit of phosphoinositide 3-kinase. Proc Natl Acad Sci 107:19897–19902. doi:10.1073/pnas.1008739107</p><p>Hansen SD, Huang WYC, Lee YK, Bieling P, Christensen SM, Groves JT. 2019. Stochastic geometry sensing and polarization in a lipid kinase–phosphatase competitive reaction. Proc Natl Acad Sci 116:15013–15022. doi:10.1073/pnas.1901744116</p><p>Hon W-C, Berndt A, Williams RL. 2012. Regulation of lipid binding underlies the activation mechanism of class IA PI3-kinases. Oncogene 31:3655–3666. doi:10.1038/onc.2011.532</p><p>Israelachvili JN, Marcelja S, Horn RG. 1980. Physical principles of membrane organization. Q Rev Biophys 13:121–200. doi:10.1017/s0033583500001645</p><p>Israelachvili JN, Mitchell DJ, Ninham BW. 1976. Theory of self-assembly of hydrocarbon amphiphiles into micelles and bilayers. J Chem Soc Faraday Trans 2 Mol Chem Phys 72:1525–1568. doi:10.1039/F29767201525</p><p>Katada T, Kurosu H, Okada T, Suzuki T, Tsujimoto N, Takasuga S, Kontani K, Hazeki O, Ui M. 1999. Synergistic activation of a family of phosphoinositide 3-kinase via G-protein coupled and tyrosine kinase-related receptors. Chem Phys Lipids 98:79–86. doi:10.1016/S0009-3084(99)00020-1</p><p>Kobierski J, Wnętrzak A, Chachaj-Brekiesz A, Dynarowicz-Latka P. 2022. Predicting the packing parameter for lipids in monolayers with the use of molecular dynamics. Colloids Surf B Biointerfaces 211:112298. doi:10.1016/j.colsurfb.2021.112298</p><p>Kulkarni CV. 2019. Calculating the “chain splay” of amphiphilic molecules: Towards quantifying the molecular shapes. Chem Phys Lipids 218:16–21. doi:10.1016/j.chemphyslip.2018.11.004</p><p>Maier U, Babich A, Macrez N, Leopoldt D, Gierschik P, Illenberger D, Nürnberg B. 2000. Gβ 5 γ 2 Is a Highly Selective Activator of Phospholipid-dependent Enzymes. J Biol Chem 275:13746–13754. doi:10.1074/jbc.275.18.13746</p><p>Rathinaswamy MK, Dalwadi U, Fleming KD, Adams C, Stariha JTB, Pardon E, Baek M, Vadas O, DiMaio F, Steyaert J, Hansen SD, Yip CK, Burke JE. 2021. Structure of the phosphoinositide 3-kinase (PI3K) p110γ-p101 complex reveals molecular mechanism of GPCR activation. Sci Adv 7:eabj4282. doi:10.1126/sciadv.abj4282</p><p>Wnętrzak A, Lątka K, Dynarowicz-Łątka P. 2013. Interactions of alkylphosphocholines with model membranes-the Langmuir monolayer study. J Membr Biol 246:453–466. doi:10.1007/s00232-013-9557-4</p><p>Yang Y, Lee M, Fairn GD. 2018. Phospholipid subcellular localization and dynamics. J Biol Chem 293:6230–6240. doi:10.1074/jbc.R117.000582</p><p>Yasui M, Matsuoka S, Ueda M. 2014. PTEN Hopping on the Cell Membrane Is Regulated via a Positively-Charged C2 Domain. PLoS Comput Biol 10:e1003817. doi:10.1371/journal.pcbi.1003817</p><p>Ziemba BP, Burke JE, Masson G, Williams RL, Falke JJ. 2016. Regulation of PI3K by PKC and MARCKS: Single-Molecule Analysis of a Reconstituted Signaling Pathway. Biophys J 110:1811–1825. doi:10.1016/j.bpj.2016.03.001</p></body></sub-article></article>