<?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">90750</article-id><article-id pub-id-type="doi">10.7554/eLife.90750</article-id><article-id pub-id-type="doi" specific-use="version">10.7554/eLife.90750.4</article-id><article-version article-version-type="publication-state">version of record</article-version><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><subj-group subj-group-type="heading"><subject>Structural Biology and Molecular Biophysics</subject></subj-group></article-categories><title-group><article-title>Microphase separation produces interfacial environment within diblock biomolecular condensates</article-title></title-group><contrib-group><contrib contrib-type="author"><name><surname>Latham</surname><given-names>Andrew P</given-names></name><xref ref-type="aff" rid="aff1">1</xref><xref ref-type="fn" rid="con1"/><xref ref-type="fn" rid="conf1"/></contrib><contrib contrib-type="author"><name><surname>Zhu</surname><given-names>Longchen</given-names></name><xref ref-type="aff" rid="aff2">2</xref><xref ref-type="fn" rid="con2"/><xref ref-type="fn" rid="conf1"/></contrib><contrib contrib-type="author"><name><surname>Sharon</surname><given-names>Dina A</given-names></name><xref ref-type="aff" rid="aff1">1</xref><xref ref-type="other" rid="fund6"/><xref ref-type="other" rid="fund5"/><xref ref-type="fn" rid="con3"/><xref ref-type="fn" rid="conf1"/></contrib><contrib contrib-type="author"><name><surname>Ye</surname><given-names>Songtao</given-names></name><xref ref-type="aff" rid="aff2">2</xref><xref ref-type="aff" rid="aff3">3</xref><xref ref-type="fn" rid="con4"/><xref ref-type="fn" rid="conf1"/></contrib><contrib contrib-type="author"><name><surname>Willard</surname><given-names>Adam P</given-names></name><xref ref-type="aff" rid="aff1">1</xref><xref ref-type="other" rid="fund2"/><xref ref-type="fn" rid="con5"/><xref ref-type="fn" rid="conf1"/></contrib><contrib contrib-type="author" corresp="yes"><name><surname>Zhang</surname><given-names>Xin</given-names></name><email>zhangxin@westlake.edu.cn</email><xref ref-type="aff" rid="aff2">2</xref><xref ref-type="other" rid="fund4"/><xref ref-type="other" rid="fund8"/><xref ref-type="fn" rid="con6"/><xref ref-type="fn" rid="conf1"/></contrib><contrib contrib-type="author" corresp="yes"><name><surname>Zhang</surname><given-names>Bin</given-names></name><contrib-id authenticated="true" contrib-id-type="orcid">https://orcid.org/0000-0002-3685-7503</contrib-id><email>binz@mit.edu</email><xref ref-type="aff" rid="aff1">1</xref><xref ref-type="other" rid="fund1"/><xref ref-type="other" rid="fund3"/><xref ref-type="fn" rid="con7"/><xref ref-type="fn" rid="conf2"/></contrib><aff id="aff1"><label>1</label><institution-wrap><institution-id institution-id-type="ror">https://ror.org/042nb2s44</institution-id><institution>Department of Chemistry, Massachusetts Institute of Technology</institution></institution-wrap><addr-line><named-content content-type="city">Cambridge</named-content></addr-line><country>United States</country></aff><aff id="aff2"><label>2</label><institution-wrap><institution-id institution-id-type="ror">https://ror.org/05hfa4n20</institution-id><institution>Department of Chemistry, School of Science and Research Center for Industries of the Future, Westlake University</institution></institution-wrap><addr-line><named-content content-type="city">Hangzhou</named-content></addr-line><country>China</country></aff><aff id="aff3"><label>3</label><institution>Westlake Laboratory of Life Sciences and Biomedicine</institution><addr-line><named-content content-type="city">Hangzhou</named-content></addr-line><country>China</country></aff></contrib-group><contrib-group content-type="section"><contrib contrib-type="editor"><name><surname>Collepardo</surname><given-names>Rosana</given-names></name><role>Reviewing Editor</role><aff><institution-wrap><institution-id institution-id-type="ror">https://ror.org/013meh722</institution-id><institution>University of Cambridge</institution></institution-wrap><country>United Kingdom</country></aff></contrib><contrib contrib-type="senior_editor"><name><surname>Cui</surname><given-names>Qiang</given-names></name><role>Senior Editor</role><aff><institution-wrap><institution-id institution-id-type="ror">https://ror.org/05qwgg493</institution-id><institution>Boston University</institution></institution-wrap><country>United States</country></aff></contrib></contrib-group><pub-date publication-format="electronic" date-type="publication"><day>26</day><month>03</month><year>2025</year></pub-date><volume>12</volume><elocation-id>RP90750</elocation-id><history><date date-type="sent-for-review" iso-8601-date="2023-07-24"><day>24</day><month>07</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="2023-04-02"><day>02</day><month>04</month><year>2023</year></date><self-uri content-type="preprint" xlink:href="https://doi.org/10.1101/2023.03.30.534967"/></event><event><event-desc>This manuscript was published as a reviewed preprint.</event-desc><date date-type="reviewed-preprint" iso-8601-date="2023-11-21"><day>21</day><month>11</month><year>2023</year></date><self-uri content-type="reviewed-preprint" xlink:href="https://doi.org/10.7554/eLife.90750.1"/></event><event><event-desc>The reviewed preprint was revised.</event-desc><date date-type="reviewed-preprint" iso-8601-date="2024-04-10"><day>10</day><month>04</month><year>2024</year></date><self-uri content-type="reviewed-preprint" xlink:href="https://doi.org/10.7554/eLife.90750.2"/></event><event><event-desc>The reviewed preprint was revised.</event-desc><date date-type="reviewed-preprint" iso-8601-date="2024-05-07"><day>07</day><month>05</month><year>2024</year></date><self-uri content-type="reviewed-preprint" xlink:href="https://doi.org/10.7554/eLife.90750.3"/></event></pub-history><permissions><copyright-statement>© 2023, Latham et al</copyright-statement><copyright-year>2023</copyright-year><copyright-holder>Latham 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-90750-v1.pdf"/><self-uri content-type="figures-pdf" xlink:href="elife-90750-figures-v1.pdf"/><abstract><p>The phase separation of intrinsically disordered proteins is emerging as an important mechanism for cellular organization. However, efforts to connect protein sequences to the physical properties of condensates, that is, the molecular grammar, are hampered by a lack of effective approaches for probing high-resolution structural details. Using a combination of multiscale simulations and fluorescence lifetime imaging microscopy experiments, we systematically explored a series of systems consisting of diblock elastin-like polypeptides (ELPs). The simulations succeeded in reproducing the variation of condensate stability upon amino acid substitution and revealed different microenvironments within a single condensate, which we verified with environmentally sensitive fluorophores. The interspersion of hydrophilic and hydrophobic residues and a lack of secondary structure formation result in an interfacial environment, which explains both the strong correlation between ELP condensate stability and interfacial hydrophobicity scales, as well as the prevalence of protein-water hydrogen bonds. Our study uncovers new mechanisms for condensate stability and organization that may be broadly applicable.</p></abstract><kwd-group kwd-group-type="author-keywords"><kwd>biomolecular condensates</kwd><kwd>molecular dynamics</kwd><kwd>multiscale simulations</kwd><kwd>hydrophobicity</kwd></kwd-group><kwd-group kwd-group-type="research-organism"><title>Research organism</title><kwd>None</kwd></kwd-group><funding-group><award-group id="fund1"><funding-source><institution-wrap><institution-id institution-id-type="FundRef">http://dx.doi.org/10.13039/100000057</institution-id><institution>National Institute of General Medical Sciences</institution></institution-wrap></funding-source><principal-award-recipient><name><surname>Zhang</surname><given-names>Bin</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/10.13039/100000001</institution-id><institution>National Science Foundation</institution></institution-wrap></funding-source><award-id>CHE-1654415</award-id><principal-award-recipient><name><surname>Willard</surname><given-names>Adam P</given-names></name></principal-award-recipient></award-group><award-group id="fund3"><funding-source><institution-wrap><institution-id institution-id-type="FundRef">http://dx.doi.org/10.13039/100000002</institution-id><institution>National Institutes of Health</institution></institution-wrap></funding-source><award-id>R35GM133580</award-id><principal-award-recipient><name><surname>Zhang</surname><given-names>Bin</given-names></name></principal-award-recipient></award-group><award-group id="fund4"><funding-source><institution-wrap><institution-id institution-id-type="FundRef">http://dx.doi.org/10.13039/100000875</institution-id><institution>Pew Charitable Trusts</institution></institution-wrap></funding-source><award-id>00033066</award-id><principal-award-recipient><name><surname>Zhang</surname><given-names>Xin</given-names></name></principal-award-recipient></award-group><award-group id="fund5"><funding-source><institution-wrap><institution-id institution-id-type="FundRef">http://dx.doi.org/10.13039/501100008982</institution-id><institution>National Science Foundation</institution></institution-wrap></funding-source><award-id>1745302</award-id><principal-award-recipient><name><surname>Latham</surname><given-names>Andrew P</given-names></name></principal-award-recipient></award-group><award-group id="fund6"><funding-source><institution-wrap><institution-id institution-id-type="FundRef">http://dx.doi.org/10.13039/100005883</institution-id><institution>Hertz Foundation</institution></institution-wrap></funding-source><principal-award-recipient><name><surname>Sharon</surname><given-names>Dina A</given-names></name></principal-award-recipient></award-group><award-group id="fund7"><funding-source><institution-wrap><institution-id institution-id-type="FundRef">http://dx.doi.org/10.13039/501100008982</institution-id><institution>National Science Foundation</institution></institution-wrap></funding-source><award-id>2141064</award-id><principal-award-recipient><name><surname>Sharon</surname><given-names>Dina A</given-names></name></principal-award-recipient></award-group><award-group id="fund8"><funding-source><institution-wrap><institution-id institution-id-type="FundRef">http://dx.doi.org/10.13039/100018928</institution-id><institution>Westlake University</institution></institution-wrap></funding-source><principal-award-recipient><name><surname>Zhang</surname><given-names>Xin</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>The microenvironment within biomolecular condensates exhibits interfacial behaviors characterized by a combination of hydrophobic and hydrophilic properties.</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>Biological condensates are found in both the cytosol (<xref ref-type="bibr" rid="bib11">Brangwynne et al., 2009</xref>; <xref ref-type="bibr" rid="bib26">Folkmann et al., 2021</xref>; <xref ref-type="bibr" rid="bib70">Patel et al., 2015</xref>; <xref ref-type="bibr" rid="bib55">Ma and Mayr, 2018</xref>) and nucleus, (<xref ref-type="bibr" rid="bib24">Feric et al., 2016</xref>; <xref ref-type="bibr" rid="bib43">Larson et al., 2017</xref>; <xref ref-type="bibr" rid="bib94">Strom et al., 2017</xref>; <xref ref-type="bibr" rid="bib80">Sabari et al., 2018</xref>; <xref ref-type="bibr" rid="bib52">Leicher et al., 2022</xref>; <xref ref-type="bibr" rid="bib48">Latham and Zhang, 2022b</xref>), playing essential roles in a variety of cellular processes (<xref ref-type="bibr" rid="bib3">Banani et al., 2017</xref>; <xref ref-type="bibr" rid="bib105">Uversky, 2017</xref>) from stress response (<xref ref-type="bibr" rid="bib75">Riback et al., 2017</xref>) to genome organization (<xref ref-type="bibr" rid="bib53">Lin et al., 2021</xref>; <xref ref-type="bibr" rid="bib81">Sabari et al., 2020</xref>). Similar to membrane-bound organelles, they assemble a collection of molecules to raise the efficiency of sophisticated tasks. The lack of a membrane barrier allows fast material exchange between condensates and the cellular environment, rendering the molecular composition and stability of condensates more prone to regulations by external signals (<xref ref-type="bibr" rid="bib32">Hnisz et al., 2017</xref>; <xref ref-type="bibr" rid="bib76">Riback et al., 2020</xref>; <xref ref-type="bibr" rid="bib40">Klein et al., 2020</xref>).</p><p>Intrinsically disordered proteins (IDPs) that promote multivalent, promiscuous interactions are key drivers of condensate formation (<xref ref-type="bibr" rid="bib35">Hyman et al., 2014</xref>; <xref ref-type="bibr" rid="bib9">Boeynaems et al., 2018</xref>; <xref ref-type="bibr" rid="bib1">Abyzov et al., 2022</xref>). Multiple mechanisms, including electrostatic, cation-<inline-formula><mml:math id="inf1"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>π</mml:mi></mml:mstyle></mml:math></inline-formula>, <inline-formula><mml:math id="inf2"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>π</mml:mi></mml:mstyle></mml:math></inline-formula>-<inline-formula><mml:math id="inf3"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>π</mml:mi></mml:mstyle></mml:math></inline-formula>, hydrogen bonding, and hydrophobic interactions, contribute to the affinity among various chemical groups (<xref ref-type="bibr" rid="bib21">Dignon et al., 2020</xref>; <xref ref-type="bibr" rid="bib17">Das et al., 2020</xref>; <xref ref-type="bibr" rid="bib69">Murthy et al., 2021</xref>). Above a threshold concentration, as predicted by the Flory–Huggins theory (<xref ref-type="bibr" rid="bib25">Flory, 1942</xref>), interactions among IDPs can drive liquid-liquid phase separation to produce a highly concentrated phase that nevertheless remains dynamic. The simplicity of theory, while insightful, may prove insufficient for a comprehensive understanding of biological condensates.</p><p>Much remains to be learned regarding the connection between amino acid sequences and protein phase behaviors, or the so-called ‘molecular grammar’ of protein condensates (<xref ref-type="bibr" rid="bib84">Schuster et al., 2021</xref>; <xref ref-type="bibr" rid="bib14">Choi et al., 2020</xref>; <xref ref-type="bibr" rid="bib106">Wang et al., 2018</xref>; <xref ref-type="bibr" rid="bib83">Schneider et al., 2019</xref>; <xref ref-type="bibr" rid="bib23">Elbaum-Garfinkle et al., 2015</xref>; <xref ref-type="bibr" rid="bib39">Kilgore and Young, 2022</xref>). These systems often exhibit complex viscoelastic behaviors and substructures with a layered organization (<xref ref-type="bibr" rid="bib47">Latham and Zhang, 2022a</xref>; <xref ref-type="bibr" rid="bib68">Mittag and Pappu, 2022</xref>; <xref ref-type="bibr" rid="bib38">Kar et al., 2022</xref>; <xref ref-type="bibr" rid="bib115">Wu and King, 2023</xref>), defying the mean-field assumption in the Flory–Huggins theory. Several more advanced theories have been introduced to better account for long-lived structural features that might persist in the polymer network. The sticker and spacer model (<xref ref-type="bibr" rid="bib96">Tanaka, 1989</xref>; <xref ref-type="bibr" rid="bib86">Semenov and Rubinstein, 1998</xref>) has been adopted by Pappu and coworkers to account for strong and specific interactions that might form physical cross-links among protein molecules (<xref ref-type="bibr" rid="bib29">Harmon et al., 2017</xref>). In the meantime, the block copolymer theory may explain the microphase separation that can lead to layered structures (<xref ref-type="bibr" rid="bib51">Leibler, 1980</xref>; <xref ref-type="bibr" rid="bib4">Bates and Fredrickson, 1990</xref>; <xref ref-type="bibr" rid="bib59">Matsen and Schick, 1994</xref>; <xref ref-type="bibr" rid="bib60">Matsen and Bates, 1996</xref>; <xref ref-type="bibr" rid="bib28">Grason, 2006</xref>; <xref ref-type="bibr" rid="bib95">Swann and Topham, 2010</xref>; <xref ref-type="bibr" rid="bib88">Shi, 2021</xref>). Because of their inherent assumptions, different theories are more appropriate for some systems but not others. High-resolution structural characterizations of condensates could offer further insight into their organizational principles and the applicable theories.</p><p>Further decoding the condensate grammar could also benefit from studies of simpler systems. Natural proteins often utilize highly complex amino acid sequences, rendering the attribution of an individual residue’s contribution to collective phenomena challenging. On the other hand, elastin-like polypeptides (ELPs), which are composed of pentapeptide repeats of valine-proline-glycine-X-glycine, serve as excellent models for studying protein phase behaviors. ELPs undergo phase separation upon heating with a lower critical solution temperature (LCST) (<xref ref-type="bibr" rid="bib104">Urry, 1997</xref>; <xref ref-type="bibr" rid="bib72">Rauscher and Pomès, 2017</xref>; <xref ref-type="bibr" rid="bib6">Baul et al., 2020</xref>; <xref ref-type="bibr" rid="bib15">Cinar et al., 2019</xref>; <xref ref-type="bibr" rid="bib20">Dignon et al., 2019</xref>). Importantly, the guest residue X can be modified to any amino acid except proline with modern engineering approaches (<xref ref-type="bibr" rid="bib62">McDaniel et al., 2010</xref>), enabling systematic characterization of the impact on condensate stability and organization upon introducing specific residues.</p><p>We combine multiscale simulations with fluorescence lifetime imaging microscopy (FLIM) to probe condensates formed by diblock ELPs and investigate the contribution of amino acid composition to condensate stability. The simulation approach allows the sampling of large-scale conformational rearrangements while providing atomistic resolution to quantify the solvation environment of individual residues. It succeeds in reproducing the stability of condensates and reveals the formation of tubular network phases similar to gyroids. Such structures deviate from weak micelles that have been proposed for diblock ELPs in solution and result in heterogeneous microenvironments within the condensate, which we verify in vitro with FLIM. In addition, we find that the condensate stability exhibits a striking correlation with a hydrophobicity scale derived from interfacial transfer free energy, supporting an interfacial microenvironment of the condensate interior. The chemical specificity of the microenvironment is dictated by the peptide sequence that prevents a complete microphase separation between hydrophobic and hydrophilic groups. As a result, all condensates remain highly solvated after phase separation, producing water molecules that maintain hydrogen bonding with the exposed peptide backbone that persists even in residues with hydrophobic side chains. Our study takes a significant stride at connecting amino acid sequences with the structural and physical properties of biological condensates.</p></sec><sec id="s2" sec-type="results"><title>Results</title><sec id="s2-1"><title>Multiscale simulations of diblock ELP condensates</title><p>Decoding the condensate grammar necessitates connecting protein sequences with collective physical properties. ELPs stand out because of their sequence simplicity and amenability for biological engineering, allowing systematic exploration and precise attribution of amino acid contributions. We focus on diblock ELPs of sequence (V-P-G-V-G)<italic><sub>n</sub></italic>-(V-P-G-X-G)<sub><italic>n</italic></sub>, which we abbreviate as V<sub><italic>n</italic></sub>X<sub><italic>n</italic></sub> (<xref ref-type="fig" rid="fig1">Figure 1A</xref>). The guest residue in the first block is set as valine to promote phase separation, and we explore 20 systems in which every natural amino acid is substituted into the X position in the second block.</p><fig id="fig1" position="float"><label>Figure 1.</label><caption><title>Multiscale simulations enable thermodynamic and structural characterization of elastin-like polypeptide (ELP) condensates.</title><p>(<bold>A</bold>) Illustration of the sequence for the simulated diblock ELPs that consist of five-amino acid repeats, where X is substituted with a guest amino acid. (<bold>B</bold>) Overview of the three-step multiscale simulation approach that gradually increases the model resolution. Simulations of V5L5 were used to produce the example configurations at each step. Peptides are shaded red-white, while water molecules, chlorine, and sodium are colored in blue, green, and orange, respectively. Inserts of a G-V-G repeat and surrounding water molecules are shown to indicate the resolution of each model. (<bold>C</bold>) Correlation between the simulated surface tension (<inline-formula><mml:math id="inf4"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>τ</mml:mi></mml:mstyle></mml:math></inline-formula>) of 20 ELP condensates and the transition temperatures (<inline-formula><mml:math id="inf5"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">t</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula>) of related systems (<xref ref-type="bibr" rid="bib104">Urry, 1997</xref>) <inline-formula><mml:math id="inf6"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mi>ρ</mml:mi></mml:mrow></mml:mstyle></mml:math></inline-formula> is the Pearson correlation coefficient between the two data sets, and the dashed line is the best fit between simulation and experimental data. Error bars represent the SD of estimates from five independent time windows.</p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-90750-fig1-v1.tif"/></fig><p>We adopt a multiscale approach to balance accuracy and efficiency for simulating ELP condensates (<xref ref-type="fig" rid="fig1">Figure 1B</xref>). The first stage of this strategy is to simulate condensate formation using a coarse-grained force field, MOFF (<xref ref-type="bibr" rid="bib46">Latham and Zhang, 2021</xref>; <xref ref-type="bibr" rid="bib44">Latham and Zhang, 2019</xref>; <xref ref-type="bibr" rid="bib45">Latham and Zhang, 2020</xref>; <xref ref-type="bibr" rid="bib49">Latham and Zhang, 2022c</xref>), with one bead per amino acid and implicit solvation. These simulations are highly efficient for system relaxation and promoting large-scale conformational rearrangements that occur over slow timescales. We further converted these <inline-formula><mml:math id="inf7"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>α</mml:mi></mml:mstyle></mml:math></inline-formula>-carbon-based models to approximately four heavy atoms per bead resolution and introduced explicit water and ions for simulations with the MARTINI force field (<xref ref-type="bibr" rid="bib57">Marrink et al., 2007</xref>). The latest version of this force field (MARTINI3) provides a more balanced set of parameters for protein-protein interactions and has been applied to study biological condensates (<xref ref-type="bibr" rid="bib91">Souza et al., 2021</xref>; <xref ref-type="bibr" rid="bib99">Thomasen et al., 2022</xref>; <xref ref-type="bibr" rid="bib7">Benayad et al., 2021</xref>; <xref ref-type="bibr" rid="bib103">Tsanai et al., 2021</xref>). These simulations further relax the protein configurations and the partition of water and counterions in condensed and dilute phases. Finally, we carried out explicit solvent all-atom simulations for 250 ns to produce an accurate characterization of the chemical environment of the condensates.</p><p>Utilizing the simulated condensate conformations, we computed various quantities to benchmark against experimental measurements. While the critical temperature has been widely used as a measure for condensate stability, determining it computationally is expensive. As an alternative, we computed the surface tension, <inline-formula><mml:math id="inf8"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>τ</mml:mi></mml:mstyle></mml:math></inline-formula>, using 100-μs-long MARTINI simulations performed with the NP<sub>N</sub>AT ensemble (<xref ref-type="bibr" rid="bib117">Zhang et al., 1995</xref>). As detailed in the ‘Supplemental theory’ in Appendix 1, an inverse relationship is expected between <inline-formula><mml:math id="inf9"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>τ</mml:mi></mml:mstyle></mml:math></inline-formula> and the critical temperature, <inline-formula><mml:math id="inf10"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula>, for systems exhibiting LCSTs. We further approximate <inline-formula><mml:math id="inf11"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> with the transition temperatures (<inline-formula><mml:math id="inf12"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula>) of ELP sequences (<xref ref-type="bibr" rid="bib104">Urry, 1997</xref>), which are the temperatures at which ELPs undergo an LCST transition at a specified solution condition. <inline-formula><mml:math id="inf13"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> was shown to be linearly proportional to <inline-formula><mml:math id="inf14"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>C</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> (<xref ref-type="bibr" rid="bib63">McDaniel et al., 2013</xref>; <xref ref-type="bibr" rid="bib66">Meyer and Chilkoti, 2004</xref>). As expected, a negative correlation can be readily seen between computed surface tension and experimental <inline-formula><mml:math id="inf15"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> (<xref ref-type="fig" rid="fig1">Figure 1C</xref>). This observed negative correlation between <inline-formula><mml:math id="inf16"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> and <inline-formula><mml:math id="inf17"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>τ</mml:mi></mml:mstyle></mml:math></inline-formula> supports the simulation approach’s accuracy in reproducing the sequence-dependent changes in ELP phase behavior.</p><p>We note that the experimental values were determined using different ELP sequences from those simulated here, and the relation between the surface tension and <inline-formula><mml:math id="inf18"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> is likely nonlinear (<xref ref-type="bibr" rid="bib77">Roe, 1975</xref>), both contributing to the imperfect agreement. In another study (<xref ref-type="bibr" rid="bib116">Ye et al., 2024</xref>), we adopted the same multiscale approach to determine the dielectric constant for several ELP condensates. The simulated values agree well with those determined using FLIM experiments.</p></sec><sec id="s2-2"><title>Microphase separation of ELP condensates</title><p>Upon validating the accuracy of the simulation protocol for reproducing collective properties of ELP condensates, we examined their structural organization. Hassouneh et al. argued that, in dilute solutions, ELP diblocks self-assemble into the so-called weak spherical micelles with dense cores and almost unstretched coronas (<xref ref-type="bibr" rid="bib30">Hassouneh et al., 2015</xref>). At phase separation conditions, whether similar structural features are preserved in condensates remains unclear.</p><p>We found that most ELP condensates undergo a microphase separation. Representative configurations for four typical systems from MARTINI simulations are shown in the top panels of <xref ref-type="fig" rid="fig2">Figure 2</xref>, with the V blocks in blue and X in red. Overall, the microphase separation manages to orient the more hydrophobic blocks toward the condensate interior as opposed to the interface. The relative density of guest blocks near the center of the condensate positively correlates with their hydrophobicity, as can be seen in both MARTINI (<xref ref-type="fig" rid="fig2s1">Figure 2—figure supplement 1</xref>) and all-atom (<xref ref-type="fig" rid="fig2s2">Figure 2—figure supplement 2</xref>) simulations.</p><fig-group><fig id="fig2" position="float"><label>Figure 2.</label><caption><title>Internal organization of elastin-like polypeptide (ELP) condensates for (<bold>A</bold>) V<sub>5</sub>F<sub>5</sub>, (<bold>B</bold>) V<sub>5</sub>L<sub>5</sub>, (<bold>C</bold>) V<sub>5</sub>A<sub>5</sub>, and (<bold>D</bold>) V<sub>5</sub>G<sub>5</sub>.</title><p>The uppermost panels present representative configurations from MARTINI simulations for each system. Periodic images along the x and y dimensions are shown for clarity, and the condensate-water interface is perpendicular to the z-axis. Only proteins are shown, with the X- and V-substituted halves of the peptides shown in red and blue, respectively. The central panels show contact maps between amino acids from different peptides. The blue and red bars indicate the V- and X-substituted half of the peptides. The lower panels plot the radial distribution functions, <inline-formula><mml:math id="inf19"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>g</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>r</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mstyle></mml:math></inline-formula>, for amino acids only from the V-substituted half of the peptides (V<sub>5</sub>-V<sub>5</sub>), only from the X-substituted half of the peptides (X<sub>5</sub>-X<sub>5</sub>), and between the two halves (V<sub>5</sub>-X<sub>5</sub>). We limited the calculations to amino acid pairs from different peptides.</p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-90750-fig2-v1.tif"/></fig><fig id="fig2s1" position="float" specific-use="child-fig"><label>Figure 2—figure supplement 1.</label><caption><title>Mass density profiles of elastin-like polypeptide (ELP) condensates from MARTINI simulations.</title><p>(<bold>A–T</bold>) The relative mass density along the <italic>Z</italic>-distance from the condensate center is shown for the V-substituted and X-substituted halves of each condensate. The <italic>Z</italic>-axis is defined as the direction perpendicular to the condensate-water interface. The dashed line represents a <italic>Z</italic>-distance of 0.06 box lengths away from the condensate center. Average density values below this threshold are used for correlation analysis in (<bold>U</bold>). Proteins are arranged by increasing <inline-formula><mml:math id="inf20"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">t</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> (decreasing hydrophobicity) from <xref ref-type="bibr" rid="bib104">Urry, 1997</xref> with (<bold>A</bold>, V<sub>5</sub>W<sub>5</sub>) being the most hydrophobic and (<bold>T</bold>, V<sub>5</sub>E<sub>5</sub>) being the least hydrophobic. (<bold>U</bold>) Correlation between the mass fraction of the X<sub>5</sub> half of the condensate and transition temperature (<inline-formula><mml:math id="inf21"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">t</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula>) from <xref ref-type="bibr" rid="bib104">Urry, 1997</xref>. <inline-formula><mml:math id="inf22"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mi>ρ</mml:mi></mml:mrow></mml:mstyle></mml:math></inline-formula> is the Pearson correlation coefficient between the two data sets, and the dashed diagonal line is the best-fit line. Error bars represent SDs of the mean taken over six equally spaced box length intervals.</p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-90750-fig2-figsupp1-v1.tif"/></fig><fig id="fig2s2" position="float" specific-use="child-fig"><label>Figure 2—figure supplement 2.</label><caption><title>Mass density profiles of elastin-like polypeptide (ELP) condensates from all-atom simulations.</title><p>(<bold>A–T</bold>) The relative mass density along the <italic>Z</italic>-distance from the condensate center is shown for the V-substituted and X-substituted halves of each condensate. The <italic>Z</italic>-axis is defined as the direction perpendicular to the condensate-water interface. The dashed line represents a <italic>Z</italic>-distance of 0.06 box lengths away from the condensate center. Average density values below this threshold are used for correlation analysis in (<bold>U</bold>). Proteins are arranged by increasing <inline-formula><mml:math id="inf23"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">t</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> (decreasing hydrophobicity) from , <xref ref-type="bibr" rid="bib104">Urry, 1997</xref> with (<bold>A</bold>, V<sub>5</sub>W<sub>5</sub>) being the most hydrophobic and (<bold>T</bold>, V<sub>5</sub>E<sub>5</sub>) being the least hydrophobic. (<bold>U</bold>) Correlation between the mass fraction of the X<sub>5</sub> half of the condensate and transition temperature (<inline-formula><mml:math id="inf24"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">t</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula>) from <xref ref-type="bibr" rid="bib104">Urry, 1997</xref>. <inline-formula><mml:math id="inf25"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mi>ρ</mml:mi></mml:mrow></mml:mstyle></mml:math></inline-formula> is the Pearson correlation coefficient between the two data sets, and the dashed diagonal line is the best-fit line. Error bars represent SDs of the mean taken over six equally spaced box length intervals.</p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-90750-fig2-figsupp2-v1.tif"/></fig><fig id="fig2s3" position="float" specific-use="child-fig"><label>Figure 2—figure supplement 3.</label><caption><title>Theoretical phase diagram (<xref ref-type="bibr" rid="bib60">Matsen and Bates, 1996</xref>) and corresponding morphologies for diblock copolymers.</title><p>The phases are labeled as body centered cubic (BCC), hexagonal cylinders (HEX), gyroid (GYR), and lamellar (LAM). <inline-formula><mml:math id="inf26"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>f</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>A</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> is the volume fraction of a single polymer block, denoted A, <inline-formula><mml:math id="inf27"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>χ</mml:mi></mml:mstyle></mml:math></inline-formula> is the Flory–Huggins interaction parameter, and <inline-formula><mml:math id="inf28"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>N</mml:mi></mml:mstyle></mml:math></inline-formula> is the total degree of polymerization. Reproduced from Figure 3 from <xref ref-type="bibr" rid="bib95">Swann and Topham, 2010</xref> (<ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">CC BY 4.0</ext-link>).</p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-90750-fig2-figsupp3-v1.tif"/></fig><fig id="fig2s4" position="float" specific-use="child-fig"><label>Figure 2—figure supplement 4.</label><caption><title>Representative configurations of (<bold>A</bold>) V<sub>5</sub>F<sub>5</sub> and (<bold>B</bold>) V<sub>5</sub>L<sub>5</sub> condensates from MARTINI simulations.</title><p>The valine substituted half of the chain is colored blue (V<sub>5</sub>) and the X-substituted half of the chain is colored red (X<sub>5</sub>). To highlight the interpenetrating networks formed by the two halves, only the X-substituted half of the chain is shown on the left. Simulation interfaces are once repeated periodically in the positive x and positive y dimensions for clarity. High-density regions formed by the multiple X-substituted half of the chains are highlighted in yellow circles, with one of the chain shown in green.</p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-90750-fig2-figsupp4-v1.tif"/></fig><fig id="fig2s5" position="float" specific-use="child-fig"><label>Figure 2—figure supplement 5.</label><caption><title>Finite size effect checks of our simulation methodology by (<bold>A</bold>) doubling the number of chains in the simulation box (V<sub>5</sub>F<sub>5</sub> ; 80 chains) or by (<bold>B</bold>) doubling the length of the peptide sequence (V<sub>10</sub>F<sub>10</sub>).</title><p>In each case, the uppermost panel is a periodic image of the simulated condensate. Only the protein is shown, with red highlighting the X-substituted half of the condensate and blue highlighting the V-substituted half of the condensate. The second panel from the top is condensate viewed from the simulation interface. The middle panel is the mass density from the condensate center for the V-substituted and X-substituted halves of each condensate. The second panel from the bottom is the radial distribution function g(r) for inter-chain coarse-grained beads, divided between the V<sub>5</sub> half of the chain and X<sub>5</sub> half of the chain. The bottom panel is the overall radial distribution function from the guest amino acid (X<sub>5</sub>), to those amino acids native to the ELP sequence.</p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-90750-fig2-figsupp5-v1.tif"/></fig><fig id="fig2s6" position="float" specific-use="child-fig"><label>Figure 2—figure supplement 6.</label><caption><title>Intermolecular contact maps for elastin-like polypeptide (ELP) peptides from MARTINI simulations.</title><p>The blue bar highlights the V<sub>5</sub> half of the condensate, while red bar highlights the X<sub>5</sub> half. Proteins (<bold>A-T</bold>) are arranged by increasing <inline-formula><mml:math id="inf29"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">t</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> (decreasing hydrophobicity) from <xref ref-type="bibr" rid="bib104">Urry, 1997</xref> with (<bold>A</bold>, V<sub>5</sub>W<sub>5</sub>) being the most hydrophobic and (<bold>T</bold>, V<sub>5</sub>E<sub>5</sub>) being the least hydrophobic.</p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-90750-fig2-figsupp6-v1.tif"/></fig><fig id="fig2s7" position="float" specific-use="child-fig"><label>Figure 2—figure supplement 7.</label><caption><title>Radial distribution functions <inline-formula><mml:math id="inf30"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>g</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>r</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mstyle></mml:math></inline-formula> from MARTINI simulations support the microphase separation of different elastin-like polypeptide (ELP) blocks.</title><p>Amino acids from the V<sub>5</sub> and X<sub>5</sub> half of the ELP peptide are partitioned into two blocks, and we used distances within and across the blocks to compute <inline-formula><mml:math id="inf31"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>g</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>r</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mstyle></mml:math></inline-formula>. Distances between amino acids from the same peptide are excluded from computations. Proteins (<bold>A-T</bold>) are arranged by increasing <inline-formula><mml:math id="inf32"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">t</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> (decreasing hydrophobicity) from <xref ref-type="bibr" rid="bib104">Urry, 1997</xref>, with (<bold>A</bold>, V<sub>5</sub>W<sub>5</sub>) being the most hydrophobic and (<bold>T</bold>, V<sub>5</sub>E<sub>5</sub>) being the least hydrophobic.</p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-90750-fig2-figsupp7-v1.tif"/></fig></fig-group><p>Surprisingly, microphase separation did not produce lamellar morphology as expected for block copolymers with equal volume fraction of the two blocks (<xref ref-type="fig" rid="fig2s3">Figure 2—figure supplement 3</xref>; <xref ref-type="bibr" rid="bib5">Bates and Fredrickson, 1999</xref>; <xref ref-type="bibr" rid="bib56">Mai and Eisenberg, 2012</xref>; <xref ref-type="bibr" rid="bib119">Zhulina et al., 2005</xref>; <xref ref-type="bibr" rid="bib51">Leibler, 1980</xref>; <xref ref-type="bibr" rid="bib4">Bates and Fredrickson, 1990</xref>; <xref ref-type="bibr" rid="bib59">Matsen and Schick, 1994</xref>; <xref ref-type="bibr" rid="bib60">Matsen and Bates, 1996</xref>; <xref ref-type="bibr" rid="bib28">Grason, 2006</xref>; <xref ref-type="bibr" rid="bib95">Swann and Topham, 2010</xref>; <xref ref-type="bibr" rid="bib88">Shi, 2021</xref>). In particular, the condensates appear to form gyroid-like structures, in which the V and X blocks form two interpenetrating networks (<xref ref-type="fig" rid="fig2s4">Figure 2—figure supplement 4</xref>). This morphology also differs from micelle-like structures seen in simplified hydrophobic-polar (HP) polymers (<xref ref-type="bibr" rid="bib92">Statt et al., 2020</xref>; <xref ref-type="bibr" rid="bib110">Wessén et al., 2022</xref>). It promotes interfacial contacts while maintaining substantial self-interactions as well. Weak interfacial tension between different ELP blocks has also been noted by <xref ref-type="bibr" rid="bib30">Hassouneh et al., 2015</xref>. These qualitative observations are insensitive to the polymer length and system size in our simulations (<xref ref-type="fig" rid="fig2s5">Figure 2—figure supplement 5</xref>). While longer diblock copolymers drive more prominent microphase separation, similar gyroid structures can also be observed. Notably, for more hydrophilic X blocks, the condensates begin to dissolve into a collection of micelle-like structures, consistent with the predictions by Hassouneh et al. in dilute solutions (<xref ref-type="bibr" rid="bib30">Hassouneh et al., 2015</xref>).</p><p>Quantitative characterization of the condensate interior supports the presence of interpenetrating networks with substantial interfacial contacts as well. For example, significant contacts between V and X blocks can be readily seen in the inter-chain contact maps (<xref ref-type="fig" rid="fig2">Figure 2</xref>, <xref ref-type="fig" rid="fig2s6">Figure 2—figure supplement 6</xref>). We further computed the radial distribution functions for amino acids in various blocks (<xref ref-type="fig" rid="fig2">Figure 2</xref>, <xref ref-type="fig" rid="fig2s7">Figure 2—figure supplement 7</xref>). For all systems, we found that the probability of finding cross-block contacts V-X is often comparable to the intra-block contacts between X-X or V-V, depending on the relative hydrophobicity of V and X. For example, the more hydrophobic F blocks exhibit strong self-clustering, much more prominent than V-V blocks that are comparable to V-F blocks. On the other hand, clustering among V-V blocks and V-A blocks is more substantial than among A-A blocks. These results are again robust with respect to system setups (<xref ref-type="fig" rid="fig2s5">Figure 2—figure supplement 5</xref>).</p><p>To experimentally test the microphase separation behavior uncovered in simulations, we studied the micro-physicochemical properties of the V-end and X-end of the peptides. We constructed diblock peptides with the combination of 30 pentameric repeats of V block and X (A or G) block, namely V<sub>30</sub>A<sub>30</sub> and V<sub>30</sub>G<sub>30</sub> (‘Experimental sequences’ in Appendix 1). The amino-termini of V<sub>30</sub>A<sub>30</sub> and V<sub>30</sub>G<sub>30</sub> sequences were subsequently labeled with environmentally sensitive BODIPY or SBD fluorophores (<xref ref-type="bibr" rid="bib54">Liu et al., 2017</xref>; <xref ref-type="bibr" rid="bib87">Shen et al., 2023</xref>), whose lifetime could be measured to quantify the viscosity or polarity of the V-end (<xref ref-type="fig" rid="fig3">Figure 3A</xref>, left panel) (<xref ref-type="bibr" rid="bib13">Chambers et al., 2018</xref>). These probes have been reported to be only sensitive to single physicochemical properties (<xref ref-type="bibr" rid="bib116">Ye et al., 2024</xref>; <xref ref-type="bibr" rid="bib87">Shen et al., 2023</xref>). To avoid artifacts induced by fluorophore labeling, we usually used ELPs labeled with a low fraction of dyes. We also constructed A<sub>30</sub>V<sub>30</sub> and G<sub>30</sub>V<sub>30</sub> diblock peptides, wherein the viscosity or polarity of the A-end or the G-end could be measured by fluorophores that are attached at the amino-terminus (<xref ref-type="fig" rid="fig3">Figure 3A</xref>, right panel).</p><fig-group><fig id="fig3" position="float"><label>Figure 3.</label><caption><title>Experimental support of the microphase separation of elastin-like polypeptide (ELP) condensates.</title><p>(<bold>A</bold>) Reversible ELP condensates formation via changing temperature. NHS ester fluorophores are attached at the amino-termini of V<sub>30</sub>X<sub>30</sub> and X<sub>30</sub>V<sub>30</sub> to detect the different micro-physicochemical properties between the V-end and the X-end. (<bold>B</bold>) Structures of NHS-BODIPY and NHS-SBD, and FLIM images of V<sub>30</sub>A<sub>30</sub>, A<sub>30</sub>V<sub>30</sub>, V<sub>30</sub>G<sub>30</sub>, and G<sub>30</sub>V<sub>30</sub> labeled with respective fluorophores. The fluorescence lifetime of each image is the average acquired from three independent experiments. Scale bar: 5 μm. (<bold>C</bold>) Schematic diagram of optical tweezers stretching experiment. (<bold>D</bold>) Bright-field images of V<sub>30</sub>A<sub>30</sub> and A<sub>30</sub>V<sub>30</sub> in the stretching experiment using the optical tweezer. Scale bar: 2 μm. (<bold>E</bold>) Normalized droplets fluorescence intensity changes while stretching (red curve: V<sub>30</sub>A<sub>30</sub>; blue curve: A<sub>30</sub>V<sub>30</sub>). Fifteen droplets (at size ∼4 μm) were imaged and used for statistical analysis.</p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-90750-fig3-v1.tif"/></fig><fig id="fig3s1" position="float" specific-use="child-fig"><label>Figure 3—figure supplement 1.</label><caption><title>Experimental <inline-formula><mml:math id="inf33"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> of elastin-like polypeptide (ELP) sequences.</title><p>The <inline-formula><mml:math id="inf34"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> diagram of (<bold>A</bold>) V<sub>30</sub>A<sub>30</sub>, (<bold>B</bold>) A<sub>30</sub>V<sub>30</sub>, (<bold>C</bold>) V<sub>30</sub>G<sub>30</sub>, and (<bold>D</bold>) G<sub>30</sub>V<sub>30</sub>. The turbidity was measured in the NaCl solution with different concentrations for V<sub>30</sub>A<sub>30</sub> and A<sub>30</sub>V<sub>30</sub> and in (NH<sub>4</sub>)2SO<sub>4</sub> solution with different concentrations for V<sub>30</sub>G<sub>30</sub> and G<sub>30</sub>V<sub>30</sub>. The heat-up rate is 0.5°C/min, and absorbance data were collected every 0.5°C.</p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-90750-fig3-figsupp1-v1.tif"/></fig><fig id="fig3s2" position="float" specific-use="child-fig"><label>Figure 3—figure supplement 2.</label><caption><title>Fluorescence lifetime imaging microscopy (FLIM) image of unlabeled elastin-like polypeptide (ELP) condensates.</title><p>(<bold>A</bold>) Chemical structure of free fluorophore, which can measure the physicochemical properties of condensates without labeling. (<bold>B</bold>) Representative FLIM images of V30A30 and A30V30. The mix is the mixture of V30A30 (35 μM) and A30V30 (35 μM). Droplets were formed with a final concentration of 70 μM ELP in 2 M NaCl solution with 1 μM fluorophore. (<bold>C</bold>) Representative FLIM images of V30G30 and G30V30. Droplets were formed with a final concentration of 70 μM ELP in 1.5 M (NH<sub>4</sub>)2SO<sub>4</sub> solution with 1 μM fluorophore. The mix is the mixture of V30G30 (35 μM) and G30V30 (35 μM). Scale bar, 5 μm. The fluorescence lifetime of each image is the average from three independent measurements.</p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-90750-fig3-figsupp2-v1.tif"/></fig></fig-group><p>Using FLIM, we found that the lifetime of BODIPY for the V-end (5.43 ns) was longer than that for the A-end (4.35 ns), suggesting that the V-end indeed has a higher microviscosity than the A-end (<italic>η<sub>V</sub></italic> = 2233.54 cp vs <italic>η<sub>A</sub></italic> = 969.57 cp). Accordingly, the lifetime of SBD was longer for the V-end (8.75 ns) than the A-end (7.00 ns), indicating that the micropolarity of the V-end was lower than the A-end (ϵ<sub>V</sub>=13.25 vs ϵ<sub>A</sub> = 18.97). These observations could be largely attributed to the greater extent of dehydration at the V-end due to its higher local peptide density. We further showed that the observed differences are not results of possible artifacts arising from any subtle distinctions between the two sequences V<sub>30</sub>A<sub>30</sub> and A<sub>30</sub>V<sub>30</sub> (‘Experimental characterization of ELP condensates’ in Appendix 1, <xref ref-type="fig" rid="fig3s1">Figure 3—figure supplements 1</xref> and <xref ref-type="fig" rid="fig3s2">2</xref>). Similar results were observed using the V-G sequences. FLIM experiments revealed that the V-end was more viscous than the G-end (<italic>η<sub>V</sub></italic>=2972.72 cp vs <italic>η<sub>G</sub></italic> = 1958.60 cp) and the V-end was less polar than the G-end (ϵ<sub>V</sub>=9.14 vs ϵ<sub>G</sub> = 27.50). These experimental observations provided the first line of evidence to support the microphase separation, as suggested by the simulation results. It is worth noting that the reported values, although related, may not quantitatively represent the steady-state viscosity. This discrepancy arises from the slow relaxation timescale inherent in ELP condensates with viscoelastic properties.</p><p>To further investigate these phenomena in real time in motion, optical tweezers were used to stretch the droplet to observe the viscosity changes of different blocks. A single diblock condensate was captured by two optical traps (traps 1 and 2) at the same position, and it was stretched as trap 1 moved away from the original position (<xref ref-type="fig" rid="fig3">Figure 3C and D</xref>). We used the peptides V<sub>30</sub>A<sub>30</sub> and A<sub>30</sub>V<sub>30</sub>, with BODIPY labeled at their amino-terminus, to study the microviscosity changes where the fluorescence intensity decreases as the viscosity decrease. We found that the normalized fluorescence intensity of the V-end decreases greater than the A-end, indicating that the viscosity change of the V-end is larger (<xref ref-type="fig" rid="fig3">Figure 3E</xref>). We anticipate that during stretching condensates deform and molecules may deviate from the preferred chemical environment established with microphase separation. Such deviations impact the hydrophobic segments more, leading to more significant reduction in their interactions with surrounding molecules and correspondingly their viscosity.</p></sec><sec id="s2-3"><title>Frustration produces condensate interior with interfacial properties</title><p>The strong dependence of molecular organization on amino acid hydrophobicity suggests that the solvation environment of individual residues might be a determining factor for condensate stability. Indeed, as shown in the ‘Supplemental theory’ of Appendix 1, the critical temperature is closely related to the free energy cost of transferring polymer beads from a solution state to a polymer-only environment. This transfer free energy is often used to quantify the hydrophobicity of amino acids (<xref ref-type="bibr" rid="bib73">Regy et al., 2021</xref>; <xref ref-type="bibr" rid="bib111">White, 1996</xref>; <xref ref-type="bibr" rid="bib113">Wimley et al., 1996</xref>; <xref ref-type="bibr" rid="bib112">Wilce et al., 1995</xref>; <xref ref-type="bibr" rid="bib120">Zimmerman et al., 1968</xref>; <xref ref-type="bibr" rid="bib71">Radzicka and Wolfenden, 1988</xref>; <xref ref-type="bibr" rid="bib50">Lawson et al., 1984</xref>). To explore their relationship more quantitatively, we compared the transition temperature for ELP condensates measured by <xref ref-type="bibr" rid="bib104">Urry, 1997</xref> to several hydrophobicity scales. <xref ref-type="fig" rid="fig4">Figure 4A</xref> shows that water-octanol and water-POPC interface transfer free energies best correlate with the transition temperature. Meanwhile, other hydrophobicity measures, even including those derived specifically for disordered proteins, do not match as well. We note that our conclusion here is not dependent on the limited number of hydrophobicity measures examined in this study, and can be seen in a previous clustering of 98 different hydrophobicity scales (<xref ref-type="bibr" rid="bib89">Simm et al., 2016</xref>).</p><fig-group><fig id="fig4" position="float"><label>Figure 4.</label><caption><title>Interior of elastin-like polypeptide (ELP) condensates exhibits interfacial properties as a result of microphase separation.</title><p>(<bold>A</bold>) Pearson correlation coefficient, <inline-formula><mml:math id="inf35"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>ρ</mml:mi></mml:mstyle></mml:math></inline-formula>, between the stated measure of hydrophobicity and the condensate transition temperature, <inline-formula><mml:math id="inf36"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">t</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula>, measured by <xref ref-type="bibr" rid="bib104">Urry, 1997</xref>. To remove discrepancies in which end of the scale is hydrophobic and which end is hydrophilic, all hydrophobicity scales, including the Urry scale, are first normalized such that 1 corresponds to the most hydrophobic residue and 0 corresponds to the least hydrophobic residue. Hydrophobicity measures considered include experimental measures of water-solvent transfer free energies water-1-palmitoyl-2-oleoyl-sn-glycero-3-phosphocholine [POPC]-interface (<xref ref-type="bibr" rid="bib111">White, 1996</xref>), water-octanol1 (<xref ref-type="bibr" rid="bib113">Wimley et al., 1996</xref>), water-octanol2 (<xref ref-type="bibr" rid="bib112">Wilce et al., 1995</xref>), water-ethanol (<xref ref-type="bibr" rid="bib120">Zimmerman et al., 1968</xref>; <xref ref-type="bibr" rid="bib112">Wilce et al., 1995</xref>), water-cyclohexane (<xref ref-type="bibr" rid="bib71">Radzicka and Wolfenden, 1988</xref>), and water-N-cyclohexyl-2-pyrrolidone [CHP] (<xref ref-type="bibr" rid="bib50">Lawson et al., 1984</xref>), atomic level analysis of moieties within amino acids (<xref ref-type="bibr" rid="bib37">Kapcha and Rossky, 2014</xref>), computational approaches to estimate hydrophobicity within disordered proteins (IDPs1 <xref ref-type="bibr" rid="bib98">Tesei et al., 2021</xref> and IDPs2 <xref ref-type="bibr" rid="bib16">Dannenhoffer-Lafage and Best, 2021</xref>), bioinformatics techniques that approximate the burial propensity, or relative solvent accessibility (RSA) of amino acids (RSA1 <xref ref-type="bibr" rid="bib78">Rose et al., 1985</xref> and RSA2 <xref ref-type="bibr" rid="bib100">Tien et al., 2013</xref>), and a method that mixed protein burial fraction with water-vapor transfer free energy (RSA/water-vapor <xref ref-type="bibr" rid="bib41">Kyte and Doolittle, 1982</xref>). The red box highlights the high correlation between <inline-formula><mml:math id="inf37"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">t</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> and water-octanol or water-POPC interface transfer free energies. (<bold>B, C</bold>) Condensate organization from MARTINI simulations for V<sub>5</sub>F<sub>5</sub> (<bold>B</bold>) and V<sub>5</sub>A<sub>5</sub> (<bold>C</bold>). The top panels provide protein-only views for simulated condensates, with the guest residue X, glycine adjacent to the guest residue, and the remaining residues colored red, green, and blue, respectively. Condensate images are repeated periodically in the x/y plane. The bottom panel shows the overall radial distribution function from the guest amino acid to those amino acids native to the ELP sequence.</p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-90750-fig4-v1.tif"/></fig><fig id="fig4s1" position="float" specific-use="child-fig"><label>Figure 4—figure supplement 1.</label><caption><title>Residue-specific radial distribution function <inline-formula><mml:math id="inf38"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>g</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>r</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mstyle></mml:math></inline-formula> from MARTINI simulations.</title><p>Distances from the guest amino acid (X) to those amino acids native to the elastin-like polypeptide (ELP) sequence were used to compute <inline-formula><mml:math id="inf39"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>g</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>r</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mstyle></mml:math></inline-formula>. Substituted amino acids that also appear in the native sequence are differentiated from their native counterparts using a star (*). Proteins (<bold>A-T</bold>) are arranged by increasing <inline-formula><mml:math id="inf40"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">t</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> (decreasing hydrophobicity) from <xref ref-type="bibr" rid="bib104">Urry, 1997</xref>, with (<bold>A</bold>, V<sub>5</sub>W<sub>5</sub>) being the most hydrophobic and (<bold>T</bold>, V<sub>5</sub>E<sub>5</sub>) being the least hydrophobic.</p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-90750-fig4-figsupp1-v1.tif"/></fig></fig-group><p>The correlation analysis of the Urry transition temperature with various hydrophobicity scales supports a unique chemical environment emerging from the collective behaviors of condensates. To better understand the microenvironment surrounding guest residues in X blocks, we computed the radial distribution functions using MARTINI simulations. As shown in <xref ref-type="fig" rid="fig4">Figure 4B and C</xref>, <xref ref-type="fig" rid="fig4s1">Figure 4—figure supplement 1</xref>, the guest residues are immediately surrounded with hydrophilic glycine residues as the nearest neighbors. In the second shell, more hydrophobic valine and proline residues appear. These profiles reveal the interfacial nature of the chemical environment surrounding the guest residues consisting of both hydrophobic and hydrophilic amino acids. This interfacial solvation environment is consistent with the strong correlation of the Urry scale with water-POPC interface transfer free energy. Therefore, ELP condensates do not simply feature a hydrophobic interior that separates from hydrophilic residues as seen for folded proteins, and hence the poor correlation shown in <xref ref-type="fig" rid="fig4">Figure 4A</xref> with the burial propensity of amino acids (RSA1, RSA2).</p><p>The ELP peptide sequences partly dictate the interfacial environment. For example, the guest residues are juxtaposed between two glycine residues in the pentamer (<xref ref-type="fig" rid="fig1">Figure 1A</xref>), creating the immediate shell of hydrophilic residues. However, the presence of valine in the pentamer prevents the movement of GXG motifs to the interface due to the clustering of hydrophobic residues that prefer the condensate interior. Therefore, while microphase separation occurs in ELP condensates, frustration remains in the system. Hydrophilic residues cannot completely separate from hydrophobic ones due to constraints imposed by the amino acid sequence, creating unique microenvironments. Such a microenvironment arises from the collective behavior of many proteins and can deviate from individual chains (<xref ref-type="bibr" rid="bib108">Wei et al., 2017</xref>), explaining the less-than-ideal correlation between the Urry scale and the hydrophobicity scales optimized to reproduce the conformational ensemble of IDP monomers.</p></sec><sec id="s2-4"><title>Solvation environment from atomistic simulations support interfacial properties</title><p>The interfacial environment uncovered in the previous section suggests the presence of significant solvation in the condensate interior. For condensates with lower surface tension, such as V<sub>5</sub>G<sub>5</sub>, the protein density near the center of the condensate is only around ∼30%. Even for the stable condensates with high surface tension, such as V<sub>5</sub>F<sub>5</sub>, the protein density near the center only reaches ∼70%. The relative density of protein, water, and ions in different systems generally follows the trend observed for the transition temperature (<xref ref-type="fig" rid="app1fig1">Appendix 1—figures 1</xref> and <xref ref-type="fig" rid="app1fig2">2</xref>).</p><p>The large water mass fractions in the condensates prompt the question of the extent to which water is engaged in meeting the protein’s hydrogen bonding requirements.We determined the average number of hydrogen bonds per residue with ELP residues or water from extensive atomistic simulations. As shown in <xref ref-type="fig" rid="fig5">Figure 5A</xref>, over 75% of the hydrogen bonds are between protein and water in all of the condensates. Prior work on a different ELP condensate (<xref ref-type="bibr" rid="bib72">Rauscher and Pomès, 2017</xref>) similarly indicated that water-protein hydrogen bonds constitute most of the hydrogen bonds found in the system. This finding highlights that ELPs, lacking noticeable secondary structures (<xref ref-type="fig" rid="fig5s1">Figure 5—figure supplement 1</xref>), are less capable of meeting its own hydrogen bonding needs, compared to folded proteins (<xref ref-type="bibr" rid="bib93">Sticke et al., 1992</xref>). Therefore, high water concentration within the condensate is crucial to fulfilling the protein’s hydrogen bonding requirements.</p><fig-group><fig id="fig5" position="float"><label>Figure 5.</label><caption><title>Water hydrogen bonding environment of condensates from all-atom simulations.</title><p>(<bold>A</bold>) Bar chart depicting the average number of protein-water (PW, in green) and protein-protein (PP, in red) hydrogen bond (HB) per residue for each condensate system. The x-axis presents the guest residue of the system and is ordered by the Urry scale. Error bars represent SDs of four independent estimates. (<bold>B</bold>) Water HB density for each of the 20 condensates, for three different residue selections. The metric is shown for all residues in the system (blue), guest residues (purple), and glycine residues adjacent to the guest residue in the sequence (orange). The x-axis presents the guest residue of the system and is ordered by the Urry scale. Error bars represent SDs of four independent estimates. (<bold>C</bold>) Correlation coefficients of the water HB density shown in (B) with Urry <inline-formula><mml:math id="inf41"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula>. (<bold>D</bold>) Schematics depicting two systems with low (i) and high (ii) water hydrogen bond density. The protein is depicted as blue and orange lines, and the water molecules are depicted as purple circles. Protein-protein and protein-water hydrogen bonds are drawn as red and green dashed lines respectively. (<bold>E</bold>) Visualizing hydrogen bond density with illustrative snapshots for V<sub>5</sub>F<sub>5</sub> (i) and V<sub>5</sub>G<sub>5</sub> (ii) condensate. Side chain carbon atoms are shown in purple. Water molecules near the protein are explicitly depicted, with oxygen and hydrogen atoms colored in red and white. Water molecules hydrogen bonded to the protein are depicted as spheres (with hydrogen bonds shown in green lines).</p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-90750-fig5-v1.tif"/></fig><fig id="fig5s1" position="float" specific-use="child-fig"><label>Figure 5—figure supplement 1.</label><caption><title>Secondary structure of simulated protein condensates, splitted into four panels (<bold>A-D</bold>), with protein names indicated in the legends.</title><p>Secondary structure is defined according to the DSSP algorithm (<xref ref-type="bibr" rid="bib101">Touw et al., 2015</xref>; <xref ref-type="bibr" rid="bib36">Kabsch and Sander, 1983</xref>). We consider α-helices, β-sheets, β-bridges, and turns as ordered, and display the total fraction of all these secondary structure elements for each simulated condensate.</p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-90750-fig5-figsupp1-v1.tif"/></fig></fig-group><p>Strikingly, given the importance of water molecules, the average number of hydrogen bonds per residue remained relatively constant across condensates, even when the amount of water inside the condensate varied by almost two folds. Therefore, we hypothesize that each water molecule in more hydrophobic condensates must engage more in hydrogen bonding than each water in hydrophilic condensates. To test this hypothesis, we determined the water hydrogen bond density, defined as the ratio of the number of protein-water hydrogen bonds divided by the total number of water molecules near the condensate (<xref ref-type="fig" rid="fig5">Figure 5D and E</xref>). As shown in <xref ref-type="fig" rid="fig5">Figure 5B and C</xref>, the water hydrogen bond density indeed negatively correlates with the condensate transition temperature, <inline-formula><mml:math id="inf42"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula>, supporting our hypothesis that more hydrophobic condensates would have a higher hydrogen bond density.</p><p>The water hydrogen bond density also highlights an interfacial environment of blended hydrophobic and hydrophilic regions. For example, when we limit the analysis to water molecules near the guest residues, X, the hydrogen bond density now becomes positively correlated with <inline-formula><mml:math id="inf43"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula>. Therefore, locally, protein-water interactions are strongly influenced by the chemistry of side chains, and water molecules have fewer hydrogen bonding opportunities with more hydrophobic residues. However, the opposite trend is observed for the hydrogen bond density near glycine residues that immediately surround the guest residues. Therefore, the exposed backbones retain water molecules even when hydrophobic side chains do not provide hydrogen bonding opportunities, and the inseparability between the two further contributes to the observed interfacial property of condensates.</p><p>As a complementary measure of the solvation environment of individual residues, we computed the relative solvent accessibility (RSA) for the guest amino acids using atomistic simulations (<xref ref-type="fig" rid="fig6">Figure 6A and B</xref>). The RSA measures the solvent-accessible surface area (SASA) normalized by the maximum possible solvent exposure. RSA values in ELP condensates are much lower than those computed from all-atom simulations of ELP monomers, consistent with the increase of polymer density upon phase separation. However, they are almost always higher than the values estimated for folded proteins due to many water molecules roaming inside the condensates (<xref ref-type="bibr" rid="bib100">Tien et al., 2013</xref>). Therefore, while ELP condensates provide a mechanism to shield hydrophobic amino acids from solvent, they are less effective in doing so than folded proteins.</p><fig-group><fig id="fig6" position="float"><label>Figure 6.</label><caption><title>Comparison of protein conformation and solvation between elastin-like polypeptide (ELP) condensates and monomers.</title><p>(<bold>A</bold>) Zoom-in view of a single peptide chain (red) from atomistic simulations of V<sub>5</sub>A<sub>5</sub> condensate (left) and monomer (right). Atoms within 1 nm of the peptide are shown, including water (cyan), chlorine (green), sodium (orange), and protein atoms from other chains (gray). (<bold>B</bold>) Relative solvent accessibility (RSA) of guest residues estimated from atomistic simulations of condensates (blue) and monomers (orange). For comparison, the corresponding values estimated using folded proteins are included as purple dots (<xref ref-type="bibr" rid="bib100">Tien et al., 2013</xref>). Error bars represent the SD of four independent time estimates. (<bold>C</bold>) Comparison of the radius of gyration (<inline-formula><mml:math id="inf44"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>R</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>g</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula>) for peptides estimated from atomistic simulations of condensates (blue) and monomers (orange). The dashed line represents the expected <inline-formula><mml:math id="inf45"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>R</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>g</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> of an ideal chain, utilizing values that have been previously suggested for intrinsically disordered proteins (IDPs) (<xref ref-type="bibr" rid="bib33">Hofmann et al., 2012</xref>; <xref ref-type="bibr" rid="bib18">Dignon et al., 2018a</xref>). Error bars represent the SD of four independent time estimates.</p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-90750-fig6-v1.tif"/></fig><fig id="fig6s1" position="float" specific-use="child-fig"><label>Figure 6—figure supplement 1.</label><caption><title><inline-formula><mml:math id="inf46"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>R</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>g</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> of individual peptide blocks from MARTINI (<bold>A</bold>) and atomistic (<bold>B</bold>) simulations.</title><p>V<sub>5</sub> represents the valine block, while X<sub>5</sub> represents the guest block. Error bars represent SDs of the mean over four independent time windows. The dashed lines represent different values of polymer scaling exponents, with <inline-formula><mml:math id="inf47"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>ν</mml:mi><mml:mo>=</mml:mo><mml:mn>0.5</mml:mn></mml:mstyle></mml:math></inline-formula> corresponding to an ideal chain and <inline-formula><mml:math id="inf48"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>ν</mml:mi><mml:mo>=</mml:mo><mml:mn>0.6</mml:mn></mml:mstyle></mml:math></inline-formula> corresponding to a swollen polymer chain. Values previously suggested for intrinsically disordered proteins (IDPs) were used in calculation of the scaling exponent (<xref ref-type="bibr" rid="bib33">Hofmann et al., 2012</xref>).</p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-90750-fig6-figsupp1-v1.tif"/></fig></fig-group><p>While the amino acid RSA values increase upon phase separation, unlike protein folding, the increase does not result from polymer collapse. We observe a significant expansion for almost all the studied peptides upon condensation, supporting the notion that water is a poor solvent for ELP (<xref ref-type="fig" rid="fig6">Figure 6C</xref>). The expansion is most evident for more hydrophobic ELPs, the radii of gyration of which are now comparable to that of an ideal Gaussian chain. Notably, the sizes of the two separate peptide blocks are similar in most systems, supporting an interfacial environment that can accommodate both hydrophobic and hydrophilic residues (<xref ref-type="fig" rid="fig6s1">Figure 6—figure supplement 1</xref>).</p></sec></sec><sec id="s3" sec-type="discussion"><title>Discussion</title><p>We carried out multiscale simulations to elucidate the connection between protein sequences and emergent properties of ELP condensates. The multiscale approach overcomes challenges in sampling slow conformational rearrangements to produce equilibrium atomistic condensate configurations. The simulations successfully reproduced condensate stability variation upon amino acid substitution. While our study is performed at set salt concentration and temperature to isolate the contributions of amino acid hydrophobicity to condensate organization, future studies may consider implementing temperature (<xref ref-type="bibr" rid="bib20">Dignon et al., 2019</xref>) or salt (<xref ref-type="bibr" rid="bib114">Wohl et al., 2021</xref>)-dependent models to explore how solution conditions affect the organization of ELP condensates.</p><p>We found that diblock ELPs undergo microphase separation, with the more hydrophobic blocks localizing toward the condensate interior. The more hydrophobic blocks increase the local protein density, resulting in higher viscosity and lower dielectric constants, as determined in FLIM experiments. In contrast to the interior of folded proteins, these blocks are significantly solvated with water occupying over 30% of mass density. Unlike the weak micelles formed in solution (<xref ref-type="bibr" rid="bib30">Hassouneh et al., 2015</xref>), ELP condensates exhibit gyroid-like morphologies that promotes contacts between blocks. Further studies on the thermodynamic stability of these morphologies and comparing with predictions from the self-consistent field theory shall provide more insights into the driving forces for their emergence.</p><p>Our study uncovered a remarkably simple grammar for determining the stability of ELP condensates. A single quantity specific to the guest residue suffices to predict the emergent properties of the condensate, as evidenced by the strong correlation of the transition temperatures with the transfer free energies. The lack of higher-order effects is striking, supporting a mean field approximation to account for the contribution of individual residues in the system. However, the hydrophobicity scale is itself sensitive to the local microenvironment that is sequence specific. Such a microenvironment arises from the collective behavior of many proteins, can deviate from that of individual chains, and is likely sensitive to the solution conditions (<xref ref-type="bibr" rid="bib109">Welsh et al., 2022</xref>), which are held constant in our study. Future work on systems with double amino acid substitutions or changes to salt concentration or temperature could elucidate the generality of the mean field interpretation and the additivity of individual contributions.</p><p>While the transferability of the extracted rule for condensate stability to other systems remains to be shown, there are reasons to be hopeful. For instance, we anticipate that the microphase separation that produces the interfacial properties is a general principle for condensate organization. For most IDPs, the hydrophobic and hydrophilic residues are often interspersed throughout the chain to prevent the collapse of individual proteins (<xref ref-type="bibr" rid="bib58">Martin et al., 2020</xref>; <xref ref-type="bibr" rid="bib118">Zheng et al., 2020</xref>) and, correspondingly, the complete phase separation as in the lamellar phase. In addition, the hydrophilic backbones are expected to be exposed due to a lack of secondary structure formation, contributing to the interfacial property in the presence of hydrophobic side chains. As such, we anticipate that future research will discover the broad presence of interfacial environments within microphase separated motifs, as observed here.</p></sec><sec id="s4" sec-type="methods"><title>Methods</title><sec id="s4-1"><title>Molecular dynamics simulation details</title><p>To better understand the properties of biological condensates, we performed simulations on 40 diblock ELPs with the sequence (V-P-G-V-G)<italic><sub>n</sub></italic>-(V-P-G-X-G)<italic><sub>n</sub></italic>. We set <inline-formula><mml:math id="inf49"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn>5</mml:mn></mml:mstyle></mml:math></inline-formula> to balance computational efficiency and polymer topological effects. As shown in <xref ref-type="fig" rid="fig2s5">Figure 2—figure supplement 5</xref>, the results presented in the main text are qualitatively robust with respect to the system size and peptide length.</p><p>The multiscale simulations of ELP condensates started with an implicit solvent model, MOFF (<xref ref-type="bibr" rid="bib46">Latham and Zhang, 2021</xref>), and a similar homopolymer model, to generate initial configurations for each system. Next, we converted the α-carbon-only configurations into those consistent with the MARTINI force field (<xref ref-type="bibr" rid="bib91">Souza et al., 2021</xref>) for coarse-grained, explicit solvent simulations. These simulations measured the coexistence between the condensate and solvent, lasted for 100 μs, and were conducted in the NP<sub>N</sub>AT ensemble. Finally, we converted the MARTINI configurations into atomistic structures for simulations with CHARMM36m (<xref ref-type="bibr" rid="bib34">Huang et al., 2017</xref>) force field, with protein-water interactions shifted to better characterize IDPs. Atomistic simulations were conducted in the NP<sub>N</sub>AT ensemble and lasted 250 ns. All simulations were conducted using the software GROMACS (<xref ref-type="bibr" rid="bib8">Berendsen et al., 1995</xref>) and are described in detail in ‘Condensate simulation details’ in Appendix 1.</p><p>In addition to the condensates, we performed atomistic simulations of ELP monomers. These simulations began from RoseTTAFold predictions of the peptide structure (<xref ref-type="bibr" rid="bib2">Baek et al., 2021</xref>; <xref ref-type="bibr" rid="bib10">Bonneau et al., 2001</xref>) and lasted for 1 μs in the NPT ensemble. Full details are available in ‘Monomer simulation details’ in Appendix 1.</p></sec><sec id="s4-2"><title>Analysis of condensate simulations</title><sec id="s4-2-1"><title>Surface tension</title><p>In explicit solvent simulations, two coexisting phases are present, in which proteins form a dense slab in the x-y plane, and the solvent creates a dilute phase in the z-dimension (<xref ref-type="bibr" rid="bib19">Dignon et al., 2018b</xref>; <xref ref-type="bibr" rid="bib42">Ladd and Woodcock, 1977</xref>). We controlled the pressure normal to the protein-solvent interface by performing simulations in the NP<sub>N</sub>AT ensemble (<xref ref-type="bibr" rid="bib117">Zhang et al., 1995</xref>). The surface tension (<inline-formula><mml:math id="inf50"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>τ</mml:mi></mml:mstyle></mml:math></inline-formula>) was calculated from these simulations as<disp-formula id="equ1"><label>(1)</label><mml:math id="m1"><mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>τ</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:msub><mml:mi>L</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">z</mml:mi></mml:mrow></mml:mrow></mml:msub><mml:mrow><mml:mn>2</mml:mn><mml:mi>N</mml:mi></mml:mrow></mml:mfrac><mml:mo>∗</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">Z</mml:mi><mml:mi mathvariant="normal">Z</mml:mi></mml:mrow></mml:mrow></mml:msub><mml:mo>−</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">X</mml:mi><mml:mi mathvariant="normal">X</mml:mi></mml:mrow></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">Y</mml:mi><mml:mi mathvariant="normal">Y</mml:mi></mml:mrow></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">)</mml:mo><mml:mo>,</mml:mo></mml:mstyle></mml:mrow></mml:math></disp-formula></p><p>where <inline-formula><mml:math id="inf51"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>L</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">z</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> is the length of the Z-dimension and <inline-formula><mml:math id="inf52"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>N</mml:mi></mml:mstyle></mml:math></inline-formula> is the number of protein droplets. <inline-formula><mml:math id="inf53"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>P</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">X</mml:mi><mml:mi mathvariant="normal">X</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula>, <inline-formula><mml:math id="inf54"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>P</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">Y</mml:mi><mml:mi mathvariant="normal">Y</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula>, and <inline-formula><mml:math id="inf55"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>P</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">Z</mml:mi><mml:mi mathvariant="normal">Z</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> are the components of the pressure tensor along the three axes.</p></sec><sec id="s4-2-2"><title>Clustering</title><p>Since the condensate can diffuse along the z-axis, that is, the direction perpendicular to the interface, we aligned the simulated configurations using the position of the largest cluster of peptide molecules. To find the largest cluster, we first computed a center of mass contact matrix between peptide molecules with a distance cutoff of 4 nm. Then, using a depth first search algorithm (<xref ref-type="bibr" rid="bib102">Tribello et al., 2017</xref>), we identified the size and location of the largest protein cluster. The system was then shifted such that the z coordinate of the center of mass of the largest cluster is at zero. We implemented the alignment using the software MDAnalysis (<xref ref-type="bibr" rid="bib27">Gowers et al., 2016</xref>; <xref ref-type="bibr" rid="bib67">Michaud-Agrawal et al., 2011</xref>).</p></sec><sec id="s4-2-3"><title>Contact map</title><p>Protein contact maps were calculated using a cutoff distance of 0.6 nm. Specifically, two residues were defined as in contact if any pair of their coarse-grained beads were within 0.6 nm.</p></sec><sec id="s4-2-4"><title>Radial distribution function</title><p>Radial distribution functions were calculated using the InterRDF function of MDAnalysis between 0.00001 nm and 2 nm. For analyzing the microphase separation of each condensate, we divided each protein into the V-substituted blocks and X-substituted blocks. This radial distribution function excluded intra-chain contacts to better capture how inter-chain contacts determine condensate organization. To analyze the origin of chain frustration within diblock phase separation, we computed the radial distribution function of each guest amino acid to the amino acids native to the sequence. Intra-chain contacts were included to fully capture the local environment experienced by the guest amino acid.</p></sec><sec id="s4-2-5"><title>Relative solvent accessibility</title><p>The relative solvent accessibility (RSA) was measured based on the SASA of guest amino acids determined from all-atom simulations. We first calculated the SASA for each residue using GROMACS tools sasa, with a probe radius of 0.14 nm (<xref ref-type="bibr" rid="bib22">Eisenhaber et al., 1995</xref>). We then averaged across all repeats of guest amino acids and normalized the SASA by the maximum possible value for a given amino acid to compute RSA (<xref ref-type="bibr" rid="bib100">Tien et al., 2013</xref>; see <xref ref-type="table" rid="app1table1">Appendix 1—table 1</xref>).</p></sec><sec id="s4-2-6"><title>Radius of gyration</title><p>The estimated <inline-formula><mml:math id="inf56"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>R</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>g</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> from atomistic simulations were compared to the following analytical expression (<xref ref-type="bibr" rid="bib33">Hofmann et al., 2012</xref>):<disp-formula id="equ2"><label>(2)</label><mml:math id="m2"><mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>g</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msqrt><mml:mfrac><mml:mrow><mml:mn>2</mml:mn><mml:msub><mml:mi>l</mml:mi><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mi>ν</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mi>ν</mml:mi><mml:mo>+</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mfrac></mml:msqrt><mml:msup><mml:mi>N</mml:mi><mml:mrow><mml:mi>ν</mml:mi></mml:mrow></mml:msup><mml:mo>,</mml:mo></mml:mstyle></mml:mrow></mml:math></disp-formula></p><p>where <inline-formula><mml:math id="inf57"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>N</mml:mi></mml:mstyle></mml:math></inline-formula> is the length of the polymer, <inline-formula><mml:math id="inf58"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>b</mml:mi><mml:mo>=</mml:mo><mml:mn>0.38</mml:mn></mml:mstyle></mml:math></inline-formula> nm is the bond length, and <inline-formula><mml:math id="inf59"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>l</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>p</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>0.40</mml:mn></mml:mstyle></mml:math></inline-formula> nm is the persistence length.</p></sec><sec id="s4-2-7"><title>Secondary structure</title><p>Secondary structure for protein condensates was calculated from atomistic simulations using the GROMACS do_dssp command (<xref ref-type="bibr" rid="bib101">Touw et al., 2015</xref>; <xref ref-type="bibr" rid="bib36">Kabsch and Sander, 1983</xref>). <xref ref-type="fig" rid="fig5s1">Figure 5—figure supplement 1</xref> displays the ordered fraction of secondary structures, which includes α-helices, β-sheets, β-bridges, and turns.</p></sec><sec id="s4-2-8"><title>Hydrogen bonding</title><p>Protein-protein and protein-water hydrogen bonds were determined using the hydrogenbonds package within MDAnalysis (<xref ref-type="bibr" rid="bib27">Gowers et al., 2016</xref>; <xref ref-type="bibr" rid="bib67">Michaud-Agrawal et al., 2011</xref>; <xref ref-type="bibr" rid="bib90">Smith et al., 2019</xref>). A hydrogen bond was defined as having a donor heavy atom within 3.30 Å of an acceptor heavy atom and a donor heavy atom-hydrogen atom-acceptor heavy atom angle of 135.0° or larger. The nearby water count for each analysis selection was determined by counting the water molecules whose oxygen atoms were within 4.0 Å of the heavy atoms of this selection. Water hydrogen bond density for each residue selection for each frame was computed as the ratio of protein-water hydrogen bonds to the number of nearby water molecules (<xref ref-type="fig" rid="app1fig3">Appendix 1—figure 3</xref>).</p></sec></sec><sec id="s4-3"><title>Experimental methods</title><sec id="s4-3-1"><title>Fluorescence lifetime imaging microscopy (FLIM)</title><p>The proteins of interest were labeled with NHS ester fluorophore. We used ELPs with 1% BODIPY labels or 2.5% SBD labels to form condensates, which avoid the artifacts induced by fluorophores. Droplets were formed with the final concentration of 70 μM ELP in 2 M NaCl for V-A and 1.5 M NH<sub>4</sub>SO<sub>4</sub> for V-G diblock, respectively. A drop of droplets containing solution was placed on a 0.17 mm coverslip with a 500 μm spacer. Images were acquired using Leica Falcon Fluorescence Microscope equipped with Wil pulse laser and ×63/0.12 oil-immersion objective. The BODIPY was excited at 488 nm and the SBD was excited at 448 nm. The fluorescence lifetime fitting and image analysis were performed in LAS X and ImageJ.</p></sec></sec><sec id="s4-4"><title>Optical tweezer experiments</title><p>The protocol describes the preparation and manipulation of a sample containing a BODIPY-labeled ELP protein using an optical tweezer, specifically the C-Trap from LULICKS. The goal is to form a single large condensate from small droplets and then stretch it using the optical tweezers while monitoring its fluorescence intensity. The first step is to mix the BODIPY-labeled ELP protein with NaCl solution to obtain a final concentration of 20 μM protein in 2 M NaCl. The sample is then loaded into the flow channel of the optical tweezer. The dual trap mode of the C-Trap is then used to move the two traps to the same position. The sample is flushed until a single large condensate of about 4 μm is caught by the dual trap via the fusion of small droplets. The traps are then moved along with the droplet to another flow channel containing 2 M NaCl buffer. The channel and pressure are turned off to avoid any additional force on the droplet. The next step is to stretch the droplet by moving trap 1 0.2 μm each time. Fluorescent images of each stretch are taken using a 488 nm excitation laser. The mean fluorescence intensity of the whole droplet is then quantified using ImageJ.</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 fn-type="COI-statement" id="conf2"><p>Reviewing editor, <italic>eLife</italic></p></fn></fn-group><fn-group content-type="author-contribution"><title>Author contributions</title><fn fn-type="con" id="con1"><p>Conceptualization, Formal analysis, Funding acquisition, Validation, Investigation, Visualization, Methodology, Writing – original draft, Writing – review and editing</p></fn><fn fn-type="con" id="con2"><p>Data curation, Formal analysis, Validation, Investigation, Visualization, Methodology, Writing – original draft, Writing – review and editing</p></fn><fn fn-type="con" id="con3"><p>Data curation, Formal analysis, Validation, Investigation, Visualization, Methodology, Writing – original draft, Writing – review and editing</p></fn><fn fn-type="con" id="con4"><p>Data curation, Formal analysis, Validation, Investigation, Visualization, Methodology, Writing – original draft, Writing – review and editing</p></fn><fn fn-type="con" id="con5"><p>Supervision, Funding acquisition, Investigation, Methodology, Writing – original draft, Project administration, Writing – review and editing</p></fn><fn fn-type="con" id="con6"><p>Conceptualization, Formal analysis, Supervision, Funding acquisition, Investigation, Methodology, Writing – original draft, Project administration, Writing – review and editing</p></fn><fn fn-type="con" id="con7"><p>Conceptualization, Formal analysis, Supervision, Funding acquisition, Investigation, 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-90750-mdarchecklist1-v1.pdf" mimetype="application" mime-subtype="pdf"/></supplementary-material></sec><sec sec-type="data-availability" id="s7"><title>Data availability</title><p>The current manuscript is a computational study, so no data have been generated for this manuscript.</p></sec><ack id="ack"><title>Acknowledgements</title><p>This work was supported by the National Institutes of Health (grant # R35GM133580, BZ), the Research Center for Industries of the Future (RCIF) at Westlake University (XZ), PEW Biomedical Scholars Program 00033066 (XZ), and the National Science Foundation under CHE-1654415 (APW). APL acknowledges support from the National Science Foundation Graduate Research Fellowship Program (grant # 1745302). 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Our simulations consisted of four steps with increasing resolution. We start with homopolymer and MOFF (<xref ref-type="bibr" rid="bib46">Latham and Zhang, 2021</xref>) simulations that help generate initial configurations for the peptides within the condensate. Then we use the results from the explicit solvent coarse-grained model, MARTINI (<xref ref-type="bibr" rid="bib91">Souza et al., 2021</xref>), and all-atom explicit solvent force field, CHARMM36m (<xref ref-type="bibr" rid="bib34">Huang et al., 2017</xref>), for further examination and quantitative analysis. Here, we describe the force field and simulation parameters at each step. Simulations were conducted using GROMACS (<xref ref-type="bibr" rid="bib8">Berendsen et al., 1995</xref>). Homopolymer and MOFF configurations were performed on GROMACS 2018.4, which allowed for tabulated interactions not allowed in current versions of GROMACS. MARTINI and all-atom simulations were performed using GROMACS 2021.</p></sec><sec sec-type="appendix" id="s9"><title>Homopolymer simulations</title><p>We used an identical homopolymer simulation to help generate starting configurations for elastin-like polypeptides. By using an identical configuration, all future simulations begin with the same molar density of protein, despite different sequences of ELPs. Our homopolymer force field was based on the MOFF force field. It assumed random coil secondary structure and non-bonded interactions identical to MOFF’s valine-valine interaction. More specifically,<disp-formula id="equ3"><label>(3)</label><mml:math id="m3"><mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">h</mml:mi><mml:mi mathvariant="normal">o</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="bold-italic">r</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">b</mml:mi><mml:mi mathvariant="normal">o</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mi mathvariant="normal">l</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:mrow></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">o</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">t</mml:mi></mml:mrow></mml:mrow></mml:msub><mml:mo>,</mml:mo></mml:mstyle></mml:mrow></mml:math></disp-formula></p><p>where <inline-formula><mml:math id="inf60"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>U</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">b</mml:mi><mml:mi mathvariant="normal">o</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula>, <inline-formula><mml:math id="inf61"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>U</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mi mathvariant="normal">l</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula>, and <inline-formula><mml:math id="inf62"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>U</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">o</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">t</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> account for the bonds between neighboring amino acids, angles between three neighboring amino acids, and nonbonded interactions between amino acids that are separated by more than three bonds, respectively.</p><p>The bonding potential <inline-formula><mml:math id="inf63"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">b</mml:mi><mml:mi mathvariant="normal">o</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:munder><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:munder><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi>b</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mstyle></mml:math></inline-formula>, where <inline-formula><mml:math id="inf64"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>i</mml:mi></mml:mstyle></mml:math></inline-formula> is the bead and<disp-formula id="equ4"><label>(4)</label><mml:math id="m4"><mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi>b</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mfrac><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi>b</mml:mi></mml:mrow></mml:msub><mml:mn>2</mml:mn></mml:mfrac><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>−</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:msup><mml:mo stretchy="false">)</mml:mo><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mo>.</mml:mo></mml:mstyle></mml:mrow></mml:math></disp-formula></p><p>We used <inline-formula><mml:math id="inf65"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>k</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>b</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>1000</mml:mn><mml:mtext/><mml:msup><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">k</mml:mi><mml:mi mathvariant="normal">J</mml:mi><mml:mtext/><mml:mi mathvariant="normal">m</mml:mi><mml:mi mathvariant="normal">o</mml:mi><mml:mi mathvariant="normal">l</mml:mi></mml:mrow><mml:mrow class="MJX-TeXAtom-ORD"><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup><mml:msup><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">n</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow><mml:mrow class="MJX-TeXAtom-ORD"><mml:mo>−</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mstyle></mml:math></inline-formula> and <inline-formula><mml:math id="inf66"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>0.38</mml:mn><mml:mspace width="thinmathspace"/><mml:mrow><mml:mi mathvariant="normal">n</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mstyle></mml:mrow></mml:mstyle></mml:math></inline-formula>. The angular potential <inline-formula><mml:math id="inf67"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mi mathvariant="normal">l</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:mrow></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:munder><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:munder><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi>a</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>θ</mml:mi><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mstyle></mml:math></inline-formula> with<disp-formula id="equ5"><label>(5)</label><mml:math id="m5"><mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi>a</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>θ</mml:mi><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mfrac><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi>a</mml:mi></mml:mrow></mml:msub><mml:mn>2</mml:mn></mml:mfrac><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>θ</mml:mi><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>−</mml:mo><mml:msub><mml:mi>θ</mml:mi><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:msup><mml:mo stretchy="false">)</mml:mo><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mo>.</mml:mo></mml:mstyle></mml:mrow></mml:math></disp-formula></p><p><inline-formula><mml:math id="inf68"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>θ</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> is the angle formed between the three consecutive beads <italic>i</italic>, <inline-formula><mml:math id="inf69"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>i</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mstyle></mml:math></inline-formula>, and <italic>i</italic> + 2 kJ mol<sup>−1</sup> deg<sup>−2</sup>, and <inline-formula><mml:math id="inf70"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>θ</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>127</mml:mn></mml:mstyle></mml:math></inline-formula>° . The contact potential, <inline-formula><mml:math id="inf71"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">o</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">t</mml:mi></mml:mrow></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:munder><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:munder><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi mathvariant="normal">n</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>ϵ</mml:mi><mml:mrow><mml:mi>I</mml:mi><mml:mi>J</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mstyle></mml:math></inline-formula>. The pairwise potential is a combination of excluded volume and contact terms given by<disp-formula id="equ6"><label>(6)</label><mml:math id="m6"><mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">n</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:mrow></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mrow><mml:mo stretchy="false">|</mml:mo></mml:mrow><mml:mi>ϵ</mml:mi><mml:mrow><mml:mo stretchy="false">|</mml:mo></mml:mrow><mml:msup><mml:mi>σ</mml:mi><mml:mrow><mml:mn>12</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:msubsup><mml:mi>r</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow><mml:mrow><mml:mn>12</mml:mn></mml:mrow></mml:msubsup></mml:mfrac><mml:mo>+</mml:mo><mml:mi>ϵ</mml:mi><mml:mrow><mml:mi class="mathcal" mathvariant="script">C</mml:mi></mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo><mml:mo>.</mml:mo></mml:mstyle></mml:mrow></mml:math></disp-formula></p><p><inline-formula><mml:math id="inf72"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>i</mml:mi></mml:mstyle></mml:math></inline-formula> and <inline-formula><mml:math id="inf73"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>j</mml:mi></mml:mstyle></mml:math></inline-formula> correspond to interacting beads, <inline-formula><mml:math id="inf74"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>ϵ</mml:mi><mml:mo>=</mml:mo><mml:mo>−</mml:mo><mml:mn>2.327339</mml:mn></mml:mstyle></mml:math></inline-formula> kJ mol<sup>−1</sup>, and <inline-formula><mml:math id="inf75"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>σ</mml:mi><mml:mo>=</mml:mo><mml:mn>0.586</mml:mn></mml:mstyle></mml:math></inline-formula> nm.</p><p>In this force field, we placed 40 polymers in a 75 nm × 75 nm × 75 nm simulation box. After steepest decent energy minimization, we performed an NPT simulation for 0.1 s at 150 K and 1 bar, using a Parrinello–Rahman isotropic bariostat and time coupling constant of 1 ps. This resulted in a configuration of forty homopolymers compressed into a 6.3782 nm × 6.3782 nm × 6.3782 nm simulation box.</p></sec><sec sec-type="appendix" id="s10"><title>MOFF simulations</title><p>From the starting configuration produced by the homopolymer simulation, we wanted to relax the contacts to be representative of those with ELPs before we began our explicit solvent simulations. For this equilibration step, we turned to the MOFF force field. ELPs are known to have minimal secondary structure in both the dense and dilute state (<xref ref-type="bibr" rid="bib72">Rauscher and Pomès, 2017</xref>; <xref ref-type="bibr" rid="bib74">Reichheld et al., 2017</xref>), so we assumed the secondary structure to be similar to that of a random coil. Under these simplifications, MOFF can be specified as<disp-formula id="equ7"><label>(7)</label><mml:math id="m7"><mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">h</mml:mi><mml:mi mathvariant="normal">o</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="bold-italic">r</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">b</mml:mi><mml:mi mathvariant="normal">o</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mi mathvariant="normal">l</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:mrow></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">e</mml:mi><mml:mi mathvariant="normal">l</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">o</mml:mi><mml:mi mathvariant="normal">s</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">i</mml:mi><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">o</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">t</mml:mi></mml:mrow></mml:mrow></mml:msub><mml:mo>,</mml:mo></mml:mstyle></mml:mrow></mml:math></disp-formula></p><p>where <inline-formula><mml:math id="inf76"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>U</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">b</mml:mi><mml:mi mathvariant="normal">o</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> is described by <xref ref-type="disp-formula" rid="equ4">Equation 4</xref>, <inline-formula><mml:math id="inf77"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>U</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mi mathvariant="normal">l</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> is described by <xref ref-type="disp-formula" rid="equ5">Equation 5</xref>, <inline-formula><mml:math id="inf78"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>U</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">e</mml:mi><mml:mi mathvariant="normal">l</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">o</mml:mi><mml:mi mathvariant="normal">s</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">i</mml:mi><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> accounts for electrostatic interactions between charged amino acids, and <inline-formula><mml:math id="inf79"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>U</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">o</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">t</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> accounts for non-bonded interactions.</p><p><inline-formula><mml:math id="inf80"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>U</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">e</mml:mi><mml:mi mathvariant="normal">l</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">o</mml:mi><mml:mi mathvariant="normal">s</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">i</mml:mi><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> accounts for electrostatic interactions between charged residues. Based on the Debye–Hückel theory, it can be approximated as<disp-formula id="equ8"><label>(8)</label><mml:math id="m8"><mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">e</mml:mi><mml:mi mathvariant="normal">l</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">o</mml:mi><mml:mi mathvariant="normal">s</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">i</mml:mi><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:munder><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:munder><mml:mfrac><mml:mrow><mml:msub><mml:mi>q</mml:mi><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi>q</mml:mi><mml:mrow><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mn>4</mml:mn><mml:mi>π</mml:mi><mml:msub><mml:mi>ϵ</mml:mi><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mi>ϵ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mfrac><mml:mi>exp</mml:mi><mml:mo>⁡</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mo>−</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:msub><mml:mi>λ</mml:mi><mml:mrow><mml:mi>D</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo><mml:mo>,</mml:mo></mml:mstyle></mml:mrow></mml:math></disp-formula></p><p>where <inline-formula><mml:math id="inf81"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>ϵ</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> is the permittivity of free space, <inline-formula><mml:math id="inf82"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>λ</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>D</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> is the Debye screening length, <inline-formula><mml:math id="inf83"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>r</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> is the distance between particles <inline-formula><mml:math id="inf84"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>i</mml:mi></mml:mstyle></mml:math></inline-formula> and <inline-formula><mml:math id="inf85"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>j</mml:mi></mml:mstyle></mml:math></inline-formula>, and <inline-formula><mml:math id="inf86"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>q</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> and <inline-formula><mml:math id="inf87"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>q</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> are charges of particles <inline-formula><mml:math id="inf88"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>i</mml:mi></mml:mstyle></mml:math></inline-formula> and <inline-formula><mml:math id="inf89"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>j</mml:mi></mml:mstyle></mml:math></inline-formula>. Charges of individual residues can be found in Table S1 of <xref ref-type="bibr" rid="bib46">Latham and Zhang, 2021</xref>. We used a distance-dependent dielectric constant, <inline-formula><mml:math id="inf90"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>ϵ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:mstyle></mml:math></inline-formula>, to capture the change in the solvation environment upon protein folding (<xref ref-type="bibr" rid="bib61">Mazur and Jernigan, 1991</xref>; <xref ref-type="bibr" rid="bib64">Mehler and Solmajer, 1991</xref>). This dielectric takes the form<disp-formula id="equ9"><label>(9)</label><mml:math id="m9"><mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>ϵ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mi>A</mml:mi><mml:mo>+</mml:mo><mml:mfrac><mml:mi>B</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:mi>k</mml:mi><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>−</mml:mo><mml:mi>λ</mml:mi><mml:mi>B</mml:mi><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msup></mml:mrow></mml:mfrac><mml:mo>,</mml:mo></mml:mstyle></mml:mrow></mml:math></disp-formula></p><p>where <inline-formula><mml:math id="inf91"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>A</mml:mi><mml:mo>=</mml:mo><mml:mo>−</mml:mo><mml:mn>8.5525</mml:mn></mml:mstyle></mml:math></inline-formula>, <inline-formula><mml:math id="inf92"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn>7.7839</mml:mn></mml:mstyle></mml:math></inline-formula>, <inline-formula><mml:math id="inf93"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>λ</mml:mi><mml:mo>=</mml:mo><mml:mn>0.03627</mml:mn><mml:msup><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">n</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow><mml:mrow class="MJX-TeXAtom-ORD"><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:mstyle></mml:math></inline-formula>, and <inline-formula><mml:math id="inf94"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>B</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>ϵ</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">w</mml:mi></mml:mrow></mml:msub><mml:mo>−</mml:mo><mml:mi>A</mml:mi></mml:mstyle></mml:math></inline-formula>, where <inline-formula><mml:math id="inf95"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>ϵ</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">w</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>78.4</mml:mn></mml:mstyle></mml:math></inline-formula> is the dielectric constant of water.</p><p>The contact potential, <inline-formula><mml:math id="inf96"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">o</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">t</mml:mi></mml:mrow></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:munder><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:munder><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi mathvariant="normal">n</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>ϵ</mml:mi><mml:mrow><mml:mi>I</mml:mi><mml:mi>J</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mstyle></mml:math></inline-formula>. The pairwise potential is a combination of excluded volume and contact terms given by<disp-formula id="equ10"><label>(10)</label><mml:math id="m10"><mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">n</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:mrow></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>ϵ</mml:mi><mml:mrow><mml:mi>I</mml:mi><mml:mi>J</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mrow><mml:mo stretchy="false">|</mml:mo></mml:mrow><mml:msub><mml:mi>ϵ</mml:mi><mml:mrow><mml:mi>I</mml:mi><mml:mi>J</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">|</mml:mo></mml:mrow><mml:msubsup><mml:mi>σ</mml:mi><mml:mrow><mml:mi>I</mml:mi><mml:mi>J</mml:mi></mml:mrow><mml:mrow><mml:mn>12</mml:mn></mml:mrow></mml:msubsup></mml:mrow><mml:msubsup><mml:mi>r</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow><mml:mrow><mml:mn>12</mml:mn></mml:mrow></mml:msubsup></mml:mfrac><mml:mo>+</mml:mo><mml:msub><mml:mi>ϵ</mml:mi><mml:mrow><mml:mi>I</mml:mi><mml:mi>J</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mi class="mathcal" mathvariant="script">C</mml:mi></mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo><mml:mo>.</mml:mo></mml:mstyle></mml:mrow></mml:math></disp-formula></p><p><italic>I</italic> and <italic>J</italic> correspond to the amino acid type of bead <italic>i</italic> and <italic>j</italic> is defined using the individual size of each amino acid type, and full parameters for the implementation of this potential can be found in Table S7 and Table S8 of <xref ref-type="bibr" rid="bib46">Latham and Zhang, 2021</xref>.</p><p>In this force field, we conducted energy minimization, and then a 0.1 μs NVT simulation, with a timestep of 10 fs. During this simulation, we utilize the GROMACS simulated annealing protocol to linearly raise the temperature from 150 K to 300 K, with a time coupling constant of 100 ps.</p></sec><sec sec-type="appendix" id="s11"><title>MARTINI simulations</title><p>The final implicit solvent, coarse-grained MOFF configuration was used as a starting point for our explicit solvent coarse-grained simulations with the MARTINI force field. To convert our α-carbon only configuration to a MARTINI representation, we converted the α-carbon snapshot to an all-atom representation using tleap, which is part of AMBER tools 2020 (<xref ref-type="bibr" rid="bib12">Case, 2020</xref>). Next, we converted the all- atom configuration to a MARTINI3 configuration using martinize2 (<xref ref-type="bibr" rid="bib91">Souza et al., 2021</xref>). We used random coil secondary structure throughout the entire peptide and enforced neutral termini for each peptide chain. We then expanded the Z-dimension of the simulation box to 40 nm and centered the protein in the simulation box. All simulations thus started with box dimensions of 6.3782 nm × 6.3782 nm × 40.0000 nm. This change in box dimensions was preparation for slab simulations, which enabled us to probe the physical properties of the condensate (<xref ref-type="bibr" rid="bib19">Dignon et al., 2018b</xref>). In this setup, the high-density protein phase became a dense slab that was periodic in <inline-formula><mml:math id="inf97"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>x</mml:mi></mml:mstyle></mml:math></inline-formula> and <inline-formula><mml:math id="inf98"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>y</mml:mi></mml:mstyle></mml:math></inline-formula>, but did not interact with its periodic image in <inline-formula><mml:math id="inf99"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>z</mml:mi></mml:mstyle></mml:math></inline-formula> due to the size of the box. The lack of periodic interactions in the <inline-formula><mml:math id="inf100"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>z</mml:mi></mml:mstyle></mml:math></inline-formula> direction allowed the formation of two interfaces between a dense biopolymer phase and the solvent phase. We then solvated the peptide with MARTINI water and 1 M NaCl.</p><p>We started with steepest decent energy minimization. Then, we performed NVT equilibration with a timestep of 10 fs for a total simulation time of 5 ns. The protein and solvent were held at 313.15 K by separately coupling them to a velocity-rescaling thermostat with a time coupling constant of 1 ps. We then equilibrated our simulations in an NPT ensemble for 10 ns with a timestep of 20 fs. We separately coupled protein and solvent to a temperature of 313.15 K with a velocity-rescaling thermostat with a time coupling constant of 1 ps. The pressure was fixed using a Berendsen bariostat with a reference pressure of 1 bar, compressibility of 4.5 × 10<sup>−5</sup> bar<sup>−1</sup>, and a time coupling constant of 5 ps. We then performed our production simulation in an NPT ensemble with semi-isotropic pressure coupling, which is sometimes called an NP<sub>N</sub>AT ensemble (<xref ref-type="bibr" rid="bib117">Zhang et al., 1995</xref>). This technique fixes the pressure normal to the protein surface, which allows us to calculate the surface tension of the protein-solvent interface. Temperature was coupled separately to 313.15 K for the protein and solvent using a velocity-rescaling thermostat with a time coupling constant of 1 ps. A Parrinello–Rahman semi-isotropic bariostat was used to couple pressure at a time coupling constant of 10 ps. A compressibility of 4.5 × 10<sup>−5</sup> bar<sup>−1</sup> and pressure of 1 bar was used in the Z-dimension, but the compressibility was set to 0 in the X–Y dimensions. The production simulations lasted for 100 μs and used a timestep of 20 fs. The first 25 μs was discarded for equilibration, and configurations were recorded every 1000 ps for analysis.</p><p>Finally, not every α-carbon, implicit solvent representation from MOFF could be stably converted into a higher resolution, explicit solvent MARTINI representation. If energy minimization was unable to resolve clashes within the MARTINI configuration we converted from the final step in the MOFF simulation, we iteratively moved back one snapshot and repeated the procedure until a stable configuration was found.</p><p>We note that many studies of IDPs with MARTINI have scaled the protein-water interactions to improve agreement between simulation and experiment (<xref ref-type="bibr" rid="bib99">Thomasen et al., 2022</xref>; <xref ref-type="bibr" rid="bib7">Benayad et al., 2021</xref>). However, in the case of ELPs studied here, we find the surface tensions given by the default MARTINI model are reasonable based on experimentally informed theories of ELP condensates (<xref ref-type="bibr" rid="bib30">Hassouneh et al., 2015</xref>) and experimental observations of surface tension in other biological condensates (<xref ref-type="bibr" rid="bib97">Taylor et al., 2016</xref>), which suggest biological condensates may have interfacial tensions as large as ∼1 mN/m.</p></sec><sec sec-type="appendix" id="s12"><title>Atomistic simulations</title><p>Proteins were described using the CHARMM36m force field (<xref ref-type="bibr" rid="bib34">Huang et al., 2017</xref>). Proteins were capped using acetylated N-terminus and amidated C-terminus. TIP3P water was used, and the water-hydrogen Lennard–Jones well depth was scaled to –0.10 kcal/mol. This scaling has been shown to better describe IDPs in previous work (<xref ref-type="bibr" rid="bib34">Huang et al., 2017</xref>).</p><p>All-atom simulations were started based on the final timestep of MARTINI simulations. MARTINI configurations were converted to CHARMM36m configurations using the backward script (<xref ref-type="bibr" rid="bib33">Hofmann et al., 2012</xref>; <xref ref-type="bibr" rid="bib107">Wassenaar et al., 2014</xref>). This code converts MARTINI configurations into all-atom representations and then ensures configuration stability through a series of short energy minimization and restrained molecular dynamics simulations. The final output for these configurations was utilized as the starting point for all-atom simulations. If the backward script did not result in as stable all-atom representation, we iteratively moved back one snapshot in the MARTINI and repeated the backward procedure until a stable all-atom initial configuration was found. We performed an additional round of energy minimization, and then equilibrated the protein in the NVT ensemble for 100 ps with a timestep of 1 fs. We used a Nose–Hoover thermostat to separately couple the protein and solvent to 313.15 K with a time coupling constant of 1.0 ps. Position restraints were applied with a force constant of 400 kJ mol<sup>−1</sup> nm<sup>−2</sup> for the backbone and 40 kJ mol<sup>−1</sup> nm<sup>−2</sup> for the side chains. We then performed NPT equilibration for 5 ns with a timestep of 2 fs. We used a Nose–Hoover thermostat to separately couple the protein and solvent to 313.15 K with a time coupling constant of 1.0 ps, and coupled the pressure using an isotropic Parrinello–Rahman bariostat with a compressibility of 4.5 × 10<sup>−5</sup> bar<sup>−1</sup>, a reference pressure of 1 bar, and a time coupling constant of 2 ps. We then performed an additional equilibration in the NP<sub>N</sub>AT ensemble by using a semiisotropic bariostat for 5 ns with a timestep of 2 fs. We used a Nose–Hoover thermostat to separately couple the protein and solvent to 313.15 K with a time coupling constant of 1.0 ps. We coupled the pressure using an semiisotropic Parrinello–Rahman bariostat with a compressibility of 4.5 × 10<sup>−5</sup> bar<sup>−1</sup> and a reference pressure of 1 bar in the Z-dimension, but set the compressibility to 0 in the X–Y dimensions. The pressure-time coupling constant was 2 ps. We then performed production runs in the NP<sub>N</sub>AT ensemble. Like the previous simulation, we used a Nose–Hoover thermostat to separately couple the protein and solvent to 313.15 K with a time coupling constant of 1.0 ps, and coupled the pressure using an semiisotropic Parrinello–Rahman bariostat with a compressibility of 4.5 × 10<sup>−5</sup> bar<sup>−1</sup> and a reference pressure of 1 bar in the Z-dimension, but set the compressibility to 0 in the X–Y dimensions. The pressure-time coupling constant was 2 ps. Simulations lasted for 250 ns, and the first 50 ns was discarded for equilibration. We recorded timesteps every 10 ps for analysis.</p></sec><sec sec-type="appendix" id="s13"><title>Monomer simulation details</title><p>In addition to the condensates, we carried out atomistic simulations of ELP monomers for comparison. These simulations were conducted on all 20 sequences and began from RosettaFold predictions of the peptide structure (<xref ref-type="bibr" rid="bib2">Baek et al., 2021</xref>; <xref ref-type="bibr" rid="bib10">Bonneau et al., 2001</xref>). RoseTTAFold was used in all cases except for V<sub>5</sub>M<sub>5</sub>, where not enough homologs were available for a prediction (<xref ref-type="bibr" rid="bib2">Baek et al., 2021</xref>). In this case, Rosetta ab initio predictions were used instead (<xref ref-type="bibr" rid="bib10">Bonneau et al., 2001</xref>). The force field was identical to the condensate simulations, and thus used the CHARMM36m force field, with shifted water potentials and capped termini (<xref ref-type="bibr" rid="bib34">Huang et al., 2017</xref>). Each peptide was placed in a simulation box of 8 nm × 8 nm × 8 nm, which gives a &gt;99% chance of the side of the simulation box being longer than the end-to-end distance of an ideal chain with a Kuhn length of 0.55 nm, as has been suggested for IDPs (<xref ref-type="bibr" rid="bib18">Dignon et al., 2018a</xref>). Peptides were solvated in water with an ionic strength of 1 M.</p><p>After solvating each protein, we conducted energy minimization. Then, we performed 100 ps of equilibration with a timestep of 1 fs in the NVT ensemble. We used a Nose–Hoover thermostat to separately couple the protein and solvent to 313.15 K with a time coupling constant of 1.0 ps. Position restraints were applied with a force constant of 400 kJ mol<sup>−1</sup> nm<sup>−2</sup> for the backbone and 40 kJ mol<sup>−1</sup> nm<sup>−2</sup> for the side chains. Next, we performed NPT equilibration for 5 ns with a timestep of 2 fs. Simulations were conducted at 313.15 K and 1.0 bar. Finally, we conducted a production simulation in the NPT ensemble for 1 μs with a timestep of 2 fs, at 313.15 K and 1.0 bar. We excluded the first 100 ns of this production run for additional equilibration, which left 900 ns for analysis.</p></sec><sec sec-type="appendix" id="s14"><title>Experimental characterization of ELP condensates</title><sec sec-type="appendix" id="s14-1"><title>Plasmid synthesis</title><p>Cloning vector pET-28a+was modified to contain endonuclease recognition sites of BseRI, AcuI, and BglI for inserting the designed ELP sequence, similar to <xref ref-type="bibr" rid="bib62">McDaniel et al., 2010</xref>. Modified pET-28a+ was linearized using BseRI (NEB, China) and dephosphorylated with rSAP (NEB) for ELP assembly. ssDNA encoding for five pentapeptides (5-mer) sequences was ordered through GeneWiz, China. Then the ssDNA chains were annealed and phosphorylated to form double-stranded duplexes with sticky overhangs. Linearized pET-28a+ vectors and duplexes were ligated by the T4 DNA ligase (NEB). After obtaining 5-mer ELP plasmids, we performed the iterative cloning steps to increase the repeats through recursive directional ligation by the plasmid reconstruction method (<xref ref-type="bibr" rid="bib62">McDaniel et al., 2010</xref>) until achieving the target length of ELP. The sequences of all plasmids created at each step were confirmed by DNA sequencing.</p></sec></sec><sec sec-type="appendix" id="s15"><title>Protein expression and purification</title><p>The targeted ELP plasmids were transformed into <italic>Escherichia coli</italic> BL21 (DE3) cells. Cells were incubated overnight on the LB plate with kanamycin. On the second day, a single colony was inoculated into 5 mL Luria Broth (LB) and serially diluted (1:100) into four different starter flasks (A–D). Starter cultures were shaken for 12–14 hours at 37 °C, and the culture with the OD600 0.6–0.8 was inoculated into 1 L Terrific Broth (TB) containing 50 μg/mL kanamycin at 1:100 dilution. This culture was grown at 37 °C and 220 rpm until the media OD600 reached 0.8, and the culture was then induced to express the protein with 0.5 mM isopropyl-β-<sc>d</sc>-thiogalactoside (IPTG). The cultures were then kept shaking for 20–24 hours at 37°C and 200 rpm before harvesting. The cells were collected by centrifuging at 6000 rpm at 4 °C for 10 min and resuspended in 1× PBS buffer (pH 7.4). The proteins were released from the cells by sonicating on ice for 6 min, with 2 s of pulsing followed by 8 s of resting on ice. The lysate was centrifuge at 14,000 rpm at 4°C for 40 min. The supernatant was then collected and mixed with polyethyleneimine to a final concentration of 0.5 w/v% to precipitate nucleic acids. The mixture was then centrifuged at 14,000 rpm and 4°C for 40 min. The supernatant was collected and added with NaCl(s) to get the final concentration of 4.5 M NaCl. The mixture was then shaken at 37°C to precipitate ELP and centrifuged at 10,000 rpm at 37°C for 40 min. The pellet was saved and resuspended in double-distilled H<sub>2</sub>O. This mixture was then shaken on ice to dissolve the ELP. The inverse transition cycling was repeated 1–2 more times (<xref ref-type="bibr" rid="bib65">Meyer and Chilkoti, 1999</xref>). The protein solution was dialyzed in a 10 kDa membrane (SnakeSkin, Thermo Fischer Scientific) against 2 L double-distilled H<sub>2</sub>O at 4°C, changing the dialysis water one time. The protein purity was determined by 12% SDS-PAGE gel electrophoresis and stained with 0.5 M copper chloride. ELP proteins were then concentrated and lyophilized to remove the water.</p></sec><sec sec-type="appendix" id="s16"><title>Sequence dependence of microviscosity and polarity</title><p>All ELP sequences were expressed in bacteria <italic>E. coli</italic> and purified to more than 95% purity, as analyzed by SDS-PAGE (<xref ref-type="fig" rid="app1fig4">Appendix 1—figure 4</xref>). The purified ELPs were subjected to mass spectroscopy measurement to confirm their identity (<xref ref-type="table" rid="app1table2">Appendix 1—table 2</xref> and <xref ref-type="fig" rid="app1fig5">Appendix 1—figure 5</xref>). Using turbidity as a signal to report on the formation of liquid droplets as a function of temperature change, we found that V<sub>30</sub>A<sub>30</sub> and A<sub>30</sub>V<sub>30</sub> exhibited the same <inline-formula><mml:math id="inf101"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> (transition temperature for phase separation) values (<xref ref-type="fig" rid="fig3s1">Figure 3—figure supplement 1A and B</xref>), suggesting that both sequences underwent almost identical intermolecular interactions to transit from the one-liquid diffusive phase to the two-liquid phase separated phase. The same is true for V<sub>30</sub>G<sub>30</sub> and G<sub>30</sub>V<sub>30</sub> (<xref ref-type="fig" rid="fig3s1">Figure 3—figure supplement 1C and D</xref>). To measure the viscosity and polarity of different micro-organizations of blocks, we used the established microenvironment-sensitive fluorogenic probes: boron dipyrromethene (BODIPY) and 7-sulfonamide benzoxadiazole (SBD). Based on previous reports, the fluorescence lifetime (<inline-formula><mml:math id="inf102"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>τ</mml:mi></mml:mstyle></mml:math></inline-formula>) of BODIPY would increase with elevating microviscosity, whereas the <inline-formula><mml:math id="inf103"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>τ</mml:mi></mml:mstyle></mml:math></inline-formula> of SBD would rise with decreasing micro-polarity. The correlation of their <inline-formula><mml:math id="inf104"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>τ</mml:mi></mml:mstyle></mml:math></inline-formula> values can be quantitatively determined using standard solvents, thus providing equations to quantify viscosity (<inline-formula><mml:math id="inf105"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>η</mml:mi></mml:mstyle></mml:math></inline-formula>) and polarity (as <inline-formula><mml:math id="inf106"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>ϵ</mml:mi></mml:mstyle></mml:math></inline-formula>, dielectric constants) via the measurement of <inline-formula><mml:math id="inf107"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>τ</mml:mi></mml:mstyle></mml:math></inline-formula> values (<xref ref-type="fig" rid="app1fig6">Appendix 1—figure 6</xref>).</p><table-wrap id="app1table1" position="float"><label>Appendix 1—table 1.</label><caption><title>Maximum allowed solvent-accessible surface area (SASA) for each amino acid, taken from <xref ref-type="bibr" rid="bib100">Tien et al., 2013</xref>.</title></caption><table frame="hsides" rules="groups"><thead><tr><th align="left" valign="bottom">Amino acid</th><th align="left" valign="bottom">Maximum SASA (Å<sup>2</sup>)</th></tr></thead><tbody><tr><td align="left" valign="bottom">ALA</td><td align="char" char="." valign="bottom">129</td></tr><tr><td align="left" valign="bottom">ARG</td><td align="char" char="." valign="bottom">274</td></tr><tr><td align="left" valign="bottom">ASN</td><td align="char" char="." valign="bottom">195</td></tr><tr><td align="left" valign="bottom">ASP</td><td align="char" char="." valign="bottom">193</td></tr><tr><td align="left" valign="bottom">CYS</td><td align="char" char="." valign="bottom">167</td></tr><tr><td align="left" valign="bottom">GLN</td><td align="char" char="." valign="bottom">225</td></tr><tr><td align="left" valign="bottom">GLU</td><td align="char" char="." valign="bottom">223</td></tr><tr><td align="left" valign="bottom">GLY</td><td align="char" char="." valign="bottom">104</td></tr><tr><td align="left" valign="bottom">HIS</td><td align="char" char="." valign="bottom">224</td></tr><tr><td align="left" valign="bottom">ILE</td><td align="char" char="." valign="bottom">197</td></tr><tr><td align="left" valign="bottom">LEU</td><td align="char" char="." valign="bottom">201</td></tr><tr><td align="left" valign="bottom">LYS</td><td align="char" char="." valign="bottom">236</td></tr><tr><td align="left" valign="bottom">MET</td><td align="char" char="." valign="bottom">224</td></tr><tr><td align="left" valign="bottom">PHE</td><td align="char" char="." valign="bottom">240</td></tr><tr><td align="left" valign="bottom">PRO</td><td align="char" char="." valign="bottom">159</td></tr><tr><td align="left" valign="bottom">SER</td><td align="char" char="." valign="bottom">155</td></tr><tr><td align="left" valign="bottom">THR</td><td align="char" char="." valign="bottom">172</td></tr><tr><td align="left" valign="bottom">TRP</td><td align="char" char="." valign="bottom">285</td></tr><tr><td align="left" valign="bottom">TYR</td><td align="char" char="." valign="bottom">263</td></tr><tr><td align="left" valign="bottom">VAL</td><td align="char" char="." valign="bottom">174</td></tr></tbody></table></table-wrap><table-wrap id="app1table2" position="float"><label>Appendix 1—table 2.</label><caption><title>Mass spectrum of purified ELP.</title></caption><table frame="hsides" rules="groups"><thead><tr><th align="left" valign="bottom"/><th align="left" valign="bottom">Mass (Da)</th><th align="left" valign="bottom"/></tr></thead><tbody><tr><td align="left" valign="bottom"/><td align="left" valign="bottom">Theoretical</td><td align="left" valign="bottom">MALDI-MS</td></tr><tr><td align="left" valign="bottom">V<sub>30</sub>A<sub>30</sub></td><td align="char" char="." valign="bottom">24097.04</td><td align="char" char="." valign="bottom">23898.62</td></tr><tr><td align="left" valign="bottom">A<sub>30</sub>V<sub>30</sub></td><td align="char" char="." valign="bottom">24097.04</td><td align="char" char="." valign="bottom">23916.19</td></tr><tr><td align="left" valign="bottom">V<sub>30</sub>G<sub>30</sub></td><td align="char" char="." valign="bottom">23676.23</td><td align="char" char="." valign="bottom">23495.55</td></tr><tr><td align="left" valign="bottom">G<sub>30</sub>V<sub>30</sub></td><td align="char" char="." valign="bottom">23676.23</td><td align="char" char="." valign="bottom">23498.98</td></tr></tbody></table></table-wrap><p>Since we used V<sub>30</sub>X<sub>30</sub> and X<sub>30</sub>V<sub>30</sub> to quantify the V- and X-end of the V-X blocks, it is possible that the observed differences arose from the innate property of the V<sub>30</sub>X<sub>30</sub> and X<sub>30</sub>V<sub>30</sub> sequences. To rule out this artifact, we formed the ELP condensates with sequences of V<sub>30</sub>X<sub>30</sub>, X<sub>30</sub>V<sub>30</sub>, or the V<sub>30</sub>X<sub>30</sub> and X<sub>30</sub>V<sub>30</sub> mixture. The condensates were subsequently treated with the aldehyde-BODIPY and methyl-ester SBD fluorophores without the NHS ester reactive warhead (<xref ref-type="fig" rid="fig3s2">Figure 3—figure supplement 2</xref>). After brief incubation, aldehyde-BODIPY and methyl-ester SBD fluorophores were recruited into and homogeneously distributed in the ELP condensates. The fluorescence lifetime of aldehyde-BODIPY was the same for V<sub>30</sub>A<sub>30</sub> (4.96 ns), A<sub>30</sub>V<sub>30</sub> (4.99 ns), and their mixture (4.98 ns) (<xref ref-type="fig" rid="fig3s2">Figure 3—figure supplement 2B</xref>, upper panel). Interestingly, this value is around the average (4.89 ns) of the A-end (4.35 ns) and the V-end (5.43 ns)-labeled NHS-BODIPY. For the SBD measurement, methyl-ester SBD resulted in almost identical lifetime values of V<sub>30</sub>A<sub>30</sub> (8.25 ns), A<sub>30</sub>V<sub>30</sub> (8.27 ns), and their mixture (8.28 ns) (<xref ref-type="fig" rid="fig3s2">Figure 3—figure supplement 2B</xref>, lower panel), again around the average values (7.88 ns) of the A-end (7.00 ns) and the V-end (8.75 ns)-labeled NHS-SBD. In addition to the V-A blocks, similar observations were made for the V-G blocks as V<sub>30</sub>G<sub>30</sub> and G<sub>30</sub>V<sub>30</sub> sequences (<xref ref-type="fig" rid="fig3s2">Figure 3—figure supplement 2C</xref>). The slight difference between the results is attributed to the experiment errors. Because the fluorophores did not covalently label the amino-terminus of the ELP peptides, their lifetime reports closer to the averaged property of the condensates instead of the microscopic property of the V-end or the X-end when the number of molecules is sufficient and the molecular distribution has no preference. Our results reveal that the V<sub>30</sub>X<sub>30</sub> and X<sub>30</sub>V<sub>30</sub> condensates exhibited similar macroscopic viscosity or polarity, suggesting that the previously observed different viscosity or polarity of V<sub>30</sub>X<sub>30</sub> and X<sub>30</sub>V<sub>30</sub> could be attributed to the microscopic property of the V-end or X-end.</p></sec><sec sec-type="appendix" id="s17"><title>Supplemental theory</title><sec sec-type="appendix" id="s17-1"><title>Relationship between the transition temperature <inline-formula><mml:math id="inf108"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> and the critical temperature <inline-formula><mml:math id="inf109"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>C</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula></title><p>The temperature measured by Urry et al. and presented in the main text corresponds to the transition temperature, <inline-formula><mml:math id="inf110"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> (<xref ref-type="bibr" rid="bib104">Urry, 1997</xref>). This temperature is defined as the value above which ELP forms an insoluble coacervate phase. The value of <inline-formula><mml:math id="inf111"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> depends on the concentration of the polymer solution.</p><p>As shown by Chilkoti and coworkers (<xref ref-type="bibr" rid="bib65">Meyer and Chilkoti, 1999</xref>; <xref ref-type="bibr" rid="bib66">Meyer and Chilkoti, 2004</xref>), the critical temperature <inline-formula><mml:math id="inf112"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> is indeed linearly related to <inline-formula><mml:math id="inf113"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> with the following relationship:<disp-formula id="equ11"><label>(11)</label><mml:math id="m11"><mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mfrac><mml:mi>k</mml:mi><mml:mtext>length</mml:mtext></mml:mfrac><mml:mi>ln</mml:mi><mml:mo>⁡</mml:mo><mml:mfrac><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub><mml:mtext>conc</mml:mtext></mml:mfrac><mml:mo>.</mml:mo></mml:mstyle></mml:mrow></mml:math></disp-formula></p><p>The above equation highlights the dependence of <inline-formula><mml:math id="inf114"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> on the chain length (length) and polymer concentration (conc). The parameter <inline-formula><mml:math id="inf115"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>C</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> is the corresponding theoretical polypeptide concentration that would be required to achieve <inline-formula><mml:math id="inf116"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> and <inline-formula><mml:math id="inf117"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>k</mml:mi></mml:mstyle></mml:math></inline-formula> is the proportionality constant.</p></sec><sec sec-type="appendix" id="s17-2"><title>Relationship between the critical temperature <inline-formula><mml:math id="inf118"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula>, the Flory–Huggins parameter <inline-formula><mml:math id="inf119"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>χ</mml:mi></mml:mstyle></mml:math></inline-formula>, and the surface tension, <inline-formula><mml:math id="inf120"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>τ</mml:mi></mml:mstyle></mml:math></inline-formula></title><p>The Flory–Huggins parameter, <inline-formula><mml:math id="inf121"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>χ</mml:mi></mml:mstyle></mml:math></inline-formula>, is defined as<disp-formula id="equ12"><label>(12)</label><mml:math id="m12"><mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>χ</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mi>z</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub><mml:mi>T</mml:mi></mml:mrow></mml:mfrac><mml:mo stretchy="false">[</mml:mo><mml:msub><mml:mi>ϵ</mml:mi><mml:mrow><mml:mtext>pp</mml:mtext></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>ϵ</mml:mi><mml:mrow><mml:mtext>ss</mml:mtext></mml:mrow></mml:msub><mml:mo>−</mml:mo><mml:mn>2</mml:mn><mml:msub><mml:mi>ϵ</mml:mi><mml:mrow><mml:mtext>ps</mml:mtext></mml:mrow></mml:msub><mml:mo stretchy="false">]</mml:mo><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>z</mml:mi><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>ϵ</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub><mml:mi>T</mml:mi></mml:mrow></mml:mfrac><mml:mo>,</mml:mo></mml:mstyle></mml:mrow></mml:math></disp-formula></p><p>where <inline-formula><mml:math id="inf122"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>ϵ</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac><mml:mo stretchy="false">[</mml:mo><mml:msub><mml:mi>ϵ</mml:mi><mml:mrow><mml:mtext>pp</mml:mtext></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>ϵ</mml:mi><mml:mrow><mml:mtext>ss</mml:mtext></mml:mrow></mml:msub><mml:mo>−</mml:mo><mml:mn>2</mml:mn><mml:msub><mml:mi>ϵ</mml:mi><mml:mrow><mml:mtext>ps</mml:mtext></mml:mrow></mml:msub><mml:mo stretchy="false">]</mml:mo></mml:mrow></mml:mstyle></mml:math></inline-formula> is the coordination number, <inline-formula><mml:math id="inf123"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>T</mml:mi></mml:mstyle></mml:math></inline-formula> is the temperature, <inline-formula><mml:math id="inf124"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>k</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>B</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> is the Boltzmann constant, and <inline-formula><mml:math id="inf125"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>ϵ</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mtext>pp</mml:mtext></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> are the strength of polymer-polymer, solvent-solvent, and polymer-solvent interactions respectively (<xref ref-type="bibr" rid="bib25">Flory, 1942</xref>).</p><p>From the original derivation of Flory–Huggins theory, it can be shown that phase separation occurs when <inline-formula><mml:math id="inf126"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>χ</mml:mi></mml:mstyle></mml:math></inline-formula> is greater than its critical value, or <inline-formula><mml:math id="inf127"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mi>χ</mml:mi><mml:mo>&gt;</mml:mo><mml:msub><mml:mi>χ</mml:mi><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub><mml:mo>≈</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:mrow></mml:mstyle></mml:math></inline-formula>. From <inline-formula><mml:math id="inf128"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>χ</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula>, we can derive the critical temperature as<disp-formula id="equ13"><label>(13)</label><mml:math id="m13"><mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mn>2</mml:mn><mml:mi>z</mml:mi><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>ϵ</mml:mi></mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub></mml:mfrac><mml:mo>.</mml:mo></mml:mstyle></mml:mrow></mml:math></disp-formula></p><p>Therefore, <inline-formula><mml:math id="inf129"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mi>χ</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mn>2</mml:mn><mml:mi>T</mml:mi></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:math></inline-formula></p><p>Relationships between the Flory–Huggins parameter, <inline-formula><mml:math id="inf130"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>χ</mml:mi></mml:mstyle></mml:math></inline-formula>, and interfacial tension (<inline-formula><mml:math id="inf131"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>τ</mml:mi></mml:mstyle></mml:math></inline-formula>) have been investigated, and the relationship can be approximated as<disp-formula id="equ14"><label>(14)</label><mml:math id="m14"><mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>τ</mml:mi><mml:mo>∝</mml:mo><mml:msup><mml:mi>χ</mml:mi><mml:mrow><mml:mi>α</mml:mi></mml:mrow></mml:msup><mml:mo>,</mml:mo></mml:mstyle></mml:mrow></mml:math></disp-formula></p><p>where α is a positive constant, whose exact value depends on the proximity of <inline-formula><mml:math id="inf132"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>χ</mml:mi></mml:mstyle></mml:math></inline-formula> to the critical value of <inline-formula><mml:math id="inf133"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>χ</mml:mi></mml:mstyle></mml:math></inline-formula> necessary for phase separation (<inline-formula><mml:math id="inf134"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>χ</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>C</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula>) (<xref ref-type="bibr" rid="bib77">Roe, 1975</xref>; <xref ref-type="bibr" rid="bib31">Helfand and Tagami, 1972</xref>). Correspondingly, we have <inline-formula><mml:math id="inf135"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>τ</mml:mi><mml:mo>∝</mml:mo><mml:msubsup><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>c</mml:mi></mml:mrow><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>α</mml:mi></mml:mrow></mml:msubsup></mml:mstyle></mml:math></inline-formula>.</p><p>We note that the expression for <inline-formula><mml:math id="inf136"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>χ</mml:mi></mml:mstyle></mml:math></inline-formula> (<xref ref-type="disp-formula" rid="equ12">Equation 12</xref>) is simplified and assumes that <inline-formula><mml:math id="inf137"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>ϵ</mml:mi></mml:mstyle></mml:math></inline-formula> is independent of temperature. However, changes in solvent packing upon phase separation can result in entropic contributions <xref ref-type="bibr" rid="bib79">Rubinstein and Colby, 2003</xref>. In general, <inline-formula><mml:math id="inf138"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>ϵ</mml:mi></mml:mstyle></mml:math></inline-formula> should be expressed as <inline-formula><mml:math id="inf139"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>ϵ</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>h</mml:mi><mml:mo>+</mml:mo><mml:mi>T</mml:mi><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>s</mml:mi></mml:mstyle></mml:math></inline-formula>. The entropic contributions are essential for giving rise to phase separations with lower critical temperatures. Therefore, in the generalized case, we have<disp-formula id="equ15"><label>(15)</label><mml:math id="m15"><mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>χ</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>z</mml:mi><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>ϵ</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub><mml:mi>T</mml:mi></mml:mrow></mml:mfrac><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>z</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>h</mml:mi><mml:mo>+</mml:mo><mml:mi>T</mml:mi><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>s</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub><mml:mi>T</mml:mi></mml:mrow></mml:mfrac><mml:mo>.</mml:mo></mml:mstyle></mml:mrow></mml:math></disp-formula></p><p>At the critical temperature, we have<disp-formula id="equ16"><label>(16)</label><mml:math id="m16"><mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>z</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>h</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi>C</mml:mi></mml:mrow></mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>s</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi>C</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac><mml:mo>,</mml:mo></mml:mstyle></mml:mrow></mml:math></disp-formula></p><p>and<disp-formula id="equ17"><label>(17)</label><mml:math id="m17"><mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi>C</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>z</mml:mi><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>h</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:mn>2</mml:mn><mml:mo>−</mml:mo><mml:mi>z</mml:mi><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:mfrac><mml:mo>.</mml:mo></mml:mstyle></mml:mrow></mml:math></disp-formula></p><p>For systems exhibiting lower critical solution temperatures (LCST), <inline-formula><mml:math id="inf140"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>h</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>0</mml:mn></mml:mstyle></mml:mrow></mml:mstyle></mml:math></inline-formula> and <inline-formula><mml:math id="inf141"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>s</mml:mi><mml:mo>&gt;</mml:mo><mml:mn>0</mml:mn></mml:mstyle></mml:math></inline-formula>. For <inline-formula><mml:math id="inf142"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>c</mml:mi></mml:mrow></mml:msub><mml:mo>&gt;</mml:mo><mml:mn>0</mml:mn></mml:mstyle></mml:math></inline-formula>, we have <inline-formula><mml:math id="inf143"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>k</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>B</mml:mi></mml:mrow></mml:msub><mml:mrow class="MJX-TeXAtom-ORD"><mml:mo>/</mml:mo></mml:mrow><mml:mn>2</mml:mn><mml:mo>&lt;</mml:mo><mml:mi>z</mml:mi><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>s</mml:mi></mml:mstyle></mml:math></inline-formula>.</p><p>Plugging the above expression back to <xref ref-type="disp-formula" rid="equ15">Equation 15</xref>, we have<disp-formula id="equ18"><label>(18)</label><mml:math id="m18"><mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>χ</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi>C</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:mn>2</mml:mn><mml:mo>−</mml:mo><mml:mi>z</mml:mi><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>s</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi>C</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mi>z</mml:mi><mml:mi>T</mml:mi><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub><mml:mi>T</mml:mi></mml:mrow></mml:mfrac><mml:mo>=</mml:mo><mml:mfrac><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi>C</mml:mi></mml:mrow></mml:msub><mml:mi>T</mml:mi></mml:mfrac><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac><mml:mo>−</mml:mo><mml:mfrac><mml:mrow><mml:mi>z</mml:mi><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>s</mml:mi></mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub></mml:mfrac></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>+</mml:mo><mml:mfrac><mml:mrow><mml:mi>z</mml:mi><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>s</mml:mi></mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub></mml:mfrac><mml:mo>.</mml:mo></mml:mstyle></mml:mrow></mml:math></disp-formula></p><p>Furthermore, as shown by <xref ref-type="bibr" rid="bib82">Schauperl et al., 2016</xref>, <inline-formula><mml:math id="inf144"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>s</mml:mi></mml:mstyle></mml:math></inline-formula>, while significant, remains relatively constant across different amino acids. Correspondingly, we have <inline-formula><mml:math id="inf145"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mi>τ</mml:mi><mml:mo>∝</mml:mo><mml:msup><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mfrac><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub><mml:mi>T</mml:mi></mml:mfrac><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac><mml:mo>−</mml:mo><mml:mfrac><mml:mrow><mml:mi>z</mml:mi><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>s</mml:mi></mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub></mml:mfrac></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>+</mml:mo><mml:mfrac><mml:mrow><mml:mi>z</mml:mi><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>s</mml:mi></mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub></mml:mfrac></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:mi>α</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:mstyle></mml:math></inline-formula> holds true in the more general case as well. Since <inline-formula><mml:math id="inf146"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:mi>z</mml:mi><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>s</mml:mi></mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub></mml:mfrac><mml:mo>&gt;</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:mrow></mml:mstyle></mml:math></inline-formula>, the slope between <inline-formula><mml:math id="inf147"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>τ</mml:mi></mml:mstyle></mml:math></inline-formula> and <inline-formula><mml:math id="inf148"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>C</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> is negative.</p></sec></sec><sec sec-type="appendix" id="s18"><title>Relationship between the critical temperature, <inline-formula><mml:math id="inf149"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> and hydrophobicity scales</title><p>As shown in <xref ref-type="disp-formula" rid="equ13">Equation 13</xref>, in the simple case <inline-formula><mml:math id="inf150"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> is linearly related to <inline-formula><mml:math id="inf151"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>ϵ</mml:mi></mml:mstyle></mml:math></inline-formula>. For the more general case, from <xref ref-type="disp-formula" rid="equ17">Equation 17</xref>, we have<disp-formula id="equ19"><label>(19)</label><mml:math id="m19"><mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi>C</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>z</mml:mi><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>h</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:mn>2</mml:mn><mml:mo>−</mml:mo><mml:mi>z</mml:mi><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:mfrac><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>z</mml:mi><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>ϵ</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:mn>2</mml:mn><mml:mo>−</mml:mo><mml:mi>z</mml:mi><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:mfrac><mml:mo>−</mml:mo><mml:mfrac><mml:mrow><mml:mi>z</mml:mi><mml:mi>T</mml:mi><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:mn>2</mml:mn><mml:mo>−</mml:mo><mml:mi>z</mml:mi><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:mfrac><mml:mo>.</mml:mo></mml:mstyle></mml:mrow></mml:math></disp-formula></p><p>Assuming that <inline-formula><mml:math id="inf152"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>s</mml:mi></mml:mstyle></mml:math></inline-formula> is relatively independent of amino acids, as shown by <xref ref-type="bibr" rid="bib82">Schauperl et al., 2016</xref>, <inline-formula><mml:math id="inf153"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula> is again linearly proportional to <inline-formula><mml:math id="inf154"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>ϵ</mml:mi></mml:mstyle></mml:math></inline-formula>.</p><p><inline-formula><mml:math id="inf155"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>ϵ</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac><mml:mo stretchy="false">[</mml:mo><mml:msub><mml:mi>ϵ</mml:mi><mml:mrow><mml:mtext>pp</mml:mtext></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>ϵ</mml:mi><mml:mrow><mml:mtext>ss</mml:mtext></mml:mrow></mml:msub><mml:mo>−</mml:mo><mml:mn>2</mml:mn><mml:msub><mml:mi>ϵ</mml:mi><mml:mrow><mml:mtext>ps</mml:mtext></mml:mrow></mml:msub><mml:mo stretchy="false">]</mml:mo></mml:mrow></mml:mstyle></mml:math></inline-formula> can indeed be interpreted as the free energy cost of transferring a polymer bead from a solution phase to a polymer phase. It corresponds to the change of energy from a mixed state, with contacts between polymer and solvent (<inline-formula><mml:math id="inf156"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>ϵ</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mtext>ps</mml:mtext></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula>), to the demixed state with only polymer-polymer (<inline-formula><mml:math id="inf157"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>ϵ</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mtext>pp</mml:mtext></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula>) and solvent-solvent (<inline-formula><mml:math id="inf158"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>ϵ</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mtext>ss</mml:mtext></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula>) contacts.</p><p>Therefore, the transfer free energy, and the interactions among amino acids of ELPs, are expected to correlate with the critical temperature.</p></sec><sec sec-type="appendix" id="s19"><title>Experimental sequences</title><list list-type="simple"><list-item><p>V<sub>30</sub>A<sub>30</sub></p></list-item><list-item><p>M-(GVGVP)<sub>30</sub>-(GAGVP)<sub>30</sub>-GY</p></list-item><list-item><p>A<sub>30</sub>V<sub>30</sub></p></list-item><list-item><p>M-(GAGVP)<sub>30</sub>-(GVGVP)<sub>30</sub>-GY</p></list-item><list-item><p>V<sub>30</sub>G<sub>30</sub></p></list-item><list-item><p>M-(GVGVP)<sub>30</sub>-(GGGVP)<sub>30</sub>-GY</p></list-item><list-item><p>G<sub>30</sub>V<sub>30</sub></p></list-item><list-item><p>M-(GGGVP)<sub>30</sub>-(GVGVP)<sub>30</sub>-GY</p></list-item></list><fig id="app1fig1" position="float"><label>Appendix 1—figure 1.</label><caption><title>Mass fraction from MARTINI condensate simulations.</title><p>(<bold>A</bold>) Protein mass fraction along the <italic>Z</italic>-distance from the condensate center defined using the largest cluster. The Z-axis is defined as the direction perpendicular to the condensate-water interface. The dashed line represents a <italic>Z</italic>-distance of 0.06 box lengths. Average values below this threshold are used for correlation analysis in (<bold>D</bold>) and (<bold>E</bold>). (<bold>B</bold>) Water mass fraction along the <italic>Z</italic>-distance from the condensate center. (<bold>C</bold>) Ion mass fraction along the <italic>Z</italic>-distance from the condensate center. (<bold>D</bold>) Correlation between the average protein mass fraction and transition temperature (<inline-formula><mml:math id="inf159"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">t</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula>) from <xref ref-type="bibr" rid="bib104">Urry, 1997</xref>. ρ is the Pearson correlation coefficient between the two data sets, and the dashed diagonal line is the best fit line. Error bars represent SDs of the mean and are smaller than the symbols. (<bold>E</bold>) Correlation between the average protein mass fraction and the simulated surface tension (<inline-formula><mml:math id="inf160"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>τ</mml:mi></mml:mstyle></mml:math></inline-formula>). <inline-formula><mml:math id="inf161"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>ρ</mml:mi></mml:mstyle></mml:math></inline-formula> is the Pearson correlation coefficient between the two data sets, and the dashed diagonal line is the best fit line. Error bars represent SDs of the mean taken over six equally spaced box length intervals.</p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-90750-app1-fig1-v1.tif"/></fig><fig id="app1fig2" position="float"><label>Appendix 1—figure 2.</label><caption><title>Mass fraction from atomistic condensate simulations.</title><p>(<bold>A</bold>) Protein mass fraction along the <italic>Z</italic>-distance from the condensate center defined using the largest cluster. The Z-axis is defined as the direction perpendicular to the condensate-water interface. The dashed line represents a <italic>Z</italic>-distance of 0.06 box lengths. Average values below this threshold are used for correlation analysis in (<bold>D</bold>) and (<bold>E</bold>). (<bold>B</bold>) Water mass fraction along the <italic>Z</italic>-distance from the condensate center. (<bold>C</bold>) Ion mass fraction along the <italic>Z</italic>-distance from the condensate center. (<bold>D</bold>) Correlation between the average protein mass fraction in all-atom simulations and transition temperature (<inline-formula><mml:math id="inf162"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">t</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula>) from <xref ref-type="bibr" rid="bib104">Urry, 1997</xref>. ρ is the Pearson correlation coefficient between the two data sets, and the dashed diagonal line is the best fit line. Error bars represent SDs of the mean taken over six equally spaced box length intervals. (<bold>E</bold>) Correlation between the average protein mass fraction from all-atom simulations and the average protein mass fraction from MARTINI simulations. <inline-formula><mml:math id="inf163"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mi>ρ</mml:mi></mml:mstyle></mml:math></inline-formula> is the Pearson correlation coefficient between the two data sets, and the dashed diagonal line is the best fit line. Error bars represent SDs of the mean taken over six equally spaced box length intervals.</p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-90750-app1-fig2-v1.tif"/></fig><fig id="app1fig3" position="float"><label>Appendix 1—figure 3.</label><caption><title>Graphical illustration of number of hydrogen bonds per protein residue.</title><p>The protein is depicted as blue and orange circles, and the water molecules are depicted as purple circles. Protein-protein and protein-water hydrogen bonds are drawn as red and green dashed lines, respectively. The number of protein-water hydrogen bonds per protein residue is calculated by taking the raw number of protein-water hydrogen bonds (<inline-formula><mml:math id="inf164"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">n</mml:mi></mml:mrow><mml:mrow class="MJX-TeXAtom-ORD"><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">H</mml:mi><mml:mi mathvariant="normal">B</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">P</mml:mi><mml:mo>−</mml:mo><mml:mi mathvariant="normal">W</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula>) and dividing by the number of residues in the protein (<inline-formula><mml:math id="inf165"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">n</mml:mi></mml:mrow><mml:mrow class="MJX-TeXAtom-ORD"><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mi mathvariant="normal">s</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">P</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula>). Meanwhile, the number of protein-protein hydrogen bonds per protein residue is calculated by doubling the number of protein-protein hydrogen bonds (<inline-formula><mml:math id="inf166"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">n</mml:mi></mml:mrow><mml:mrow class="MJX-TeXAtom-ORD"><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">H</mml:mi><mml:mi mathvariant="normal">B</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">P</mml:mi><mml:mo>−</mml:mo><mml:mi mathvariant="normal">P</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula>) and dividing by the number of residues in the protein (<inline-formula><mml:math id="inf167"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">n</mml:mi></mml:mrow><mml:mrow class="MJX-TeXAtom-ORD"><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mi mathvariant="normal">s</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">P</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mstyle></mml:math></inline-formula>). The extra factor of 2 accounts for the fact that, in the case of protein-protein hydrogen bonds, both the donor and the acceptor must reside within the protein.</p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-90750-app1-fig3-v1.tif"/></fig><fig id="app1fig4" position="float"><label>Appendix 1—figure 4.</label><caption><title>SDS-PAGE gel of elastin-like polypeptide (ELP).</title><p>The purity of the protein is &gt;95%.</p><p><supplementary-material id="app1fig4sdata1"><label>Appendix 1—figure 4—source data 1.</label><caption><title>Original files for western blot analysis displayed in <xref ref-type="fig" rid="app1fig4">Appendix 1—figure 4</xref>.</title></caption><media mimetype="application" mime-subtype="zip" xlink:href="elife-90750-app1-fig4-data1-v1.zip"/></supplementary-material></p><p><supplementary-material id="app1fig4sdata2"><label>Appendix 1—figure 4—source data 2.</label><caption><title>Original western blots for <xref ref-type="fig" rid="app1fig4">Appendix 1—figure 4</xref>, indicating the relevant bands and treatments.</title></caption><media mimetype="application" mime-subtype="zip" xlink:href="elife-90750-app1-fig4-data2-v1.zip"/></supplementary-material></p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-90750-app1-fig4-v1.tif"/></fig><fig id="app1fig5" position="float"><label>Appendix 1—figure 5.</label><caption><title>Mass spectrum of (<bold>A</bold>) V<sub>30</sub>A<sub>30</sub>, (<bold>B</bold>) A<sub>30</sub>V<sub>30</sub>, (<bold>C</bold>) V<sub>30</sub>G<sub>30</sub>, and (<bold>D</bold>) G<sub>30</sub>V<sub>30</sub>.</title></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-90750-app1-fig5-v1.tif"/></fig><fig id="app1fig6" position="float"><label>Appendix 1—figure 6.</label><caption><title>Calibration curves of fluorophores.</title><p>(<bold>A</bold>) Lifetime-viscosity calibration curve is quantified in the glycerol at different temperatures (10°C <italic>η</italic> = 3900 cP; 20°C <italic>η</italic> = 1,412 cP; 30°C <italic>η</italic> = 612 cP; 40°C <italic>η</italic> = 284 cP; 50°C <italic>η</italic> = 142 cP; 60°C <italic>η</italic> = 81.3 cP) <xref ref-type="bibr" rid="bib85">Segur and Oberstar, 1951</xref>?. The fluorophore concentration is 5 μM. (B) Lifetime-dielectric constant calibration curve is quantified in the MeOH-1,4-dioxane mixture. <inline-formula><mml:math id="inf168"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>ϵ</mml:mi><mml:mrow><mml:mi>m</mml:mi><mml:mi>i</mml:mi><mml:mi>x</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>ϕ</mml:mi><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mi>ϵ</mml:mi><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>ϕ</mml:mi><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mi>ϵ</mml:mi><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>32.7</mml:mn></mml:mstyle></mml:mstyle></mml:mrow></mml:mstyle></mml:math></inline-formula>, <inline-formula><mml:math id="inf169"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:msub><mml:mi>ϵ</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>4</mml:mn><mml:mo>−</mml:mo><mml:mi>d</mml:mi><mml:mi>i</mml:mi><mml:mi>o</mml:mi><mml:mi>x</mml:mi><mml:mi>a</mml:mi><mml:mi>n</mml:mi><mml:mi>e</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>2.25</mml:mn></mml:mstyle></mml:mrow></mml:mstyle></mml:math></inline-formula>.</p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-90750-app1-fig6-v1.tif"/></fig></sec></app></app-group></back><sub-article article-type="editor-report" id="sa0"><front-stub><article-id pub-id-type="doi">10.7554/eLife.90750.4.sa0</article-id><title-group><article-title>eLife assessment</article-title></title-group><contrib-group><contrib contrib-type="author"><name><surname>Collepardo</surname><given-names>Rosana</given-names></name><role specific-use="editor">Reviewing Editor</role><aff><institution>University of Cambridge</institution><country>United Kingdom</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>Important</kwd></kwd-group></front-stub><body><p>This <bold>important</bold> study investigates the structural organization of a series of diblock elastin-like polypeptide condensates. The methodology is highly <bold>compelling</bold> as it combines multiscale simulations and fluorescence lifetime imaging microscopy experiments. The results increase our understanding of model biomolecular condensates.</p></body></sub-article><sub-article article-type="referee-report" id="sa1"><front-stub><article-id pub-id-type="doi">10.7554/eLife.90750.4.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>This is an interesting, informative, and well-designed study that combines theoretical and experimental methodologies to tackle the phenomenon of higher-resolution structures/substructures in model biomolecular condensates.</p><p>The authors have adequately addressed my previous concerns.</p></body></sub-article><sub-article article-type="referee-report" id="sa2"><front-stub><article-id pub-id-type="doi">10.7554/eLife.90750.4.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>Summary:</p><p>Latham A.P. et al. apply simulations and FLIM to analyse several di-block elastin-like polypetides and connect their sequence to the micro-structure of coacervates resulting from their phase-separation.</p><p>Strengths:</p><p>Understanding the molecular grammar of phase separating proteins and the connection with mesoscale properties of the coacervates is highly relevant. This work provides insights into micro-structures of coacervates resulting from di-block polypetides.</p><p>Weaknesses:</p><p>The results apply to a very specific architecture (di-block polypetides) with specific sequences.</p></body></sub-article><sub-article article-type="author-comment" id="sa3"><front-stub><article-id pub-id-type="doi">10.7554/eLife.90750.4.sa3</article-id><title-group><article-title>Author response</article-title></title-group><contrib-group><contrib contrib-type="author"><name><surname>Latham</surname><given-names>Andrew P</given-names></name><role specific-use="author">Author</role><aff><institution>Massachusetts Institute of Technology</institution><addr-line><named-content content-type="city">Cambridge</named-content></addr-line><country>United States</country></aff></contrib><contrib contrib-type="author"><name><surname>ZHU</surname><given-names>Longchen</given-names></name><role specific-use="author">Author</role><aff><institution>Westlake University</institution><addr-line><named-content content-type="city">Hangzhou</named-content></addr-line><country>China</country></aff></contrib><contrib contrib-type="author"><name><surname>Sharon</surname><given-names>Dina A</given-names></name><role specific-use="author">Author</role><aff><institution>Massachusetts Institute of Technology</institution><addr-line><named-content content-type="city">Cambridge</named-content></addr-line><country>United States</country></aff></contrib><contrib contrib-type="author"><name><surname>YE</surname><given-names>Songtao</given-names></name><role specific-use="author">Author</role><aff><institution>Westlake University</institution><addr-line><named-content content-type="city">Hangzhou</named-content></addr-line><country>China</country></aff></contrib><contrib contrib-type="author"><name><surname>Willard</surname><given-names>Adam P</given-names></name><role specific-use="author">Author</role><aff><institution>Massachusetts Institute of Technology</institution><addr-line><named-content content-type="city">Cambridge</named-content></addr-line><country>United States</country></aff></contrib><contrib contrib-type="author"><name><surname>Zhang</surname><given-names>Xin</given-names></name><role specific-use="author">Author</role><aff><institution>Westlake University</institution><addr-line><named-content content-type="city">Hangzhou</named-content></addr-line><country>China</country></aff></contrib><contrib contrib-type="author"><name><surname>Zhang</surname><given-names>Bin</given-names></name><role specific-use="author">Author</role><aff><institution>Massachusetts Institute of Technology</institution><addr-line><named-content content-type="city">Cambridge</named-content></addr-line><country>United States</country></aff></contrib></contrib-group></front-stub><body><p>The following is the authors’ response to the previous reviews.</p><disp-quote content-type="editor-comment"><p>The authors have addressed my comments. As a final minor point, regarding comment 2,these condensates are likely viscoelastic rather than purely viscous. It is prudent toindicate that the data may refer to an apparent viscosity.</p></disp-quote><p>We added the following text to the manuscript to highlight the viscoelastic nature of ELPcondensates, and the relationship of reported values with the steady state viscosity.“It is worth noting that the reported values, although related, may not quantitativelyrepresent the steady-state viscosity. This discrepancy arises from the slow relaxationtimescale inherent in ELP condensates with viscoelastic properties.”</p></body></sub-article></article>