{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,17]],"date-time":"2026-09-17T15:28:48Z","timestamp":1789658928850,"version":"4.0.1"},"update-to":[{"DOI":"10.1371\/journal.pcbi.1014729","type":"new_version","label":"New version","source":"publisher","updated":{"date-parts":[[2026,9,15]],"date-time":"2026-09-15T00:00:00Z","timestamp":1789430400000}}],"reference-count":79,"publisher":"Public Library of Science (PLoS)","issue":"9","license":[{"start":{"date-parts":[[2026,9,2]],"date-time":"2026-09-02T00:00:00Z","timestamp":1788307200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Ministry of Education, Government of India","award":["PMRF ID: 3003659"],"award-info":[{"award-number":["PMRF ID: 3003659"]}],"id":[{"id":"https:\/\/ror.org\/036h6g940","id-type":"ROR","asserted-by":"crossref"}]},{"name":"SERB India","award":["CRG\/2022\/001127"],"award-info":[{"award-number":["CRG\/2022\/001127"]}]}],"content-domain":{"domain":["www.ploscompbiol.org"],"crossmark-restriction":false},"short-container-title":["PLoS Comput Biol"],"abstract":"<jats:p>\n                    <jats:italic>E. coli<\/jats:italic>\n                    relies on the heat shock response (HSR) to preserve protein homeostasis under stress, through three feedback modules: feedforward translational control, chaperone-mediated sequestration and targeted degradation. Although previous studies have highlighted how this layered architecture ensures rapid and robust protection compared to simpler designs, not much attention is paid to how these modules interact. Moreover, how do interactions among the three modules balance performance trade-offs, where gains in one module may come at the expense of another, yet together yield an optimal overall response? We address this using a mathematical model that integrates protein folding with\n                    <jats:inline-formula id=\"pcbi.1014729.e001\">\n                      <jats:alternatives>\n                        <jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pcbi.1014729.e001g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pcbi.1014729.e001\" xlink:type=\"simple\"\/>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M1\">\n                          <mml:mrow>\n                            <mml:msub>\n                              <mml:mi>\u03c3<\/mml:mi>\n                              <mml:mrow>\n                                <mml:mn>32<\/mml:mn>\n                              <\/mml:mrow>\n                            <\/mml:msub>\n                          <\/mml:mrow>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    regulation. We show that the feedback modules both cooperate and compete, giving rise to nonmonotonic dynamics that govern HSR performance. Specifically, increasing feedforward strength does accelerate response, but beyond a threshold, despite increasing chaperone levels, it paradoxically slows recovery. Similarly, while sequestration enhances relative chaperone production and per-chaperone efficiency, when excessive, it traps\n                    <jats:inline-formula id=\"pcbi.1014729.e002\">\n                      <jats:alternatives>\n                        <jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pcbi.1014729.e002g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pcbi.1014729.e002\" xlink:type=\"simple\"\/>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M2\">\n                          <mml:mrow>\n                            <mml:msub>\n                              <mml:mi>\u03c3<\/mml:mi>\n                              <mml:mrow>\n                                <mml:mn>32<\/mml:mn>\n                              <\/mml:mrow>\n                            <\/mml:msub>\n                          <\/mml:mrow>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    in inactive complexes, prolonging recovery and delaying shutdown. Mapping the parameter space reveals regimes of synergy as well as trade-offs between speed and efficiency, with wild-type parameters lying near the optimal region. These results reveal design principles that produces a robust and efficient heat shock response.\n                  <\/jats:p>","DOI":"10.1371\/journal.pcbi.1014729","type":"journal-article","created":{"date-parts":[[2026,9,2]],"date-time":"2026-09-02T17:47:38Z","timestamp":1788371258000},"page":"e1014729","update-policy":"https:\/\/doi.org\/10.1371\/journal.pcbi.corrections_policy","source":"Crossref","is-referenced-by-count":0,"title":["Synergies and trade-offs in the heat shock response mechanism"],"prefix":"10.1371","volume":"22","author":[{"given":"Rupal","family":"Chauhan","sequence":"first","affiliation":[{"name":"Indian Institute of Technology Jammu","place":["Jammu, India"],"department":["Department of Physics"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Biswajit","family":"Das","sequence":"additional","affiliation":[{"name":"Amrita School of Artificial Intelligence, Amrita Vishwa Vidyapeetham","place":["Coimbatore, India"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2819-1668","authenticated-orcid":true,"given":"Ajeet K.","family":"Sharma","sequence":"additional","affiliation":[{"name":"Indian Institute of Technology Jammu","place":["Jammu, India"],"department":["Department of Physics"]},{"name":"Indian Institute of Technology Jammu","place":["Jammu, India"],"department":["Department of Biosciences and Bioengineering"]}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"340","published-online":{"date-parts":[[2026,9,2]]},"reference":[{"key":"pcbi.1014729.ref001","volume-title":"Protein function. Molecular Biology of the Cell","author":"B Alberts","year":"2002","edition":"4"},{"key":"pcbi.1014729.ref002","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1146\/annurev.bi.58.070189.001353","article-title":"Protein radical involvement in biological catalysis?","volume":"58","author":"JA Stubbe","year":"1989","journal-title":"Annu Rev Biochem"},{"key":"pcbi.1014729.ref003","unstructured":"Ram\u00edrez-Clavijo S, Montoya-Ortiz G. Gene expression and regulation. Autoimmunity: From Bench to Bedside. 2013."},{"issue":"1","key":"pcbi.1014729.ref004","doi-asserted-by":"crossref","first-page":"165","DOI":"10.1146\/annurev.pc.23.100172.001121","article-title":"Protein Structure and Function","volume":"23","author":"AD McLachlan","year":"1972","journal-title":"Annu Rev Phys Chem"},{"issue":"6968","key":"pcbi.1014729.ref005","doi-asserted-by":"crossref","first-page":"884","DOI":"10.1038\/nature02261","article-title":"Protein folding and misfolding","volume":"426","author":"CM Dobson","year":"2003","journal-title":"Nature"},{"issue":"11","key":"pcbi.1014729.ref006","doi-asserted-by":"crossref","first-page":"1427","DOI":"10.1101\/gad.1657108","article-title":"Proteotoxic stress and inducible chaperone networks in neurodegenerative disease and aging","volume":"22","author":"RI Morimoto","year":"2008","journal-title":"Genes Dev"},{"issue":"4","key":"pcbi.1014729.ref007","doi-asserted-by":"crossref","first-page":"1180","DOI":"10.1021\/jacs.5b08145","article-title":"Physical Origins of Codon Positions That Strongly Influence Cotranslational Folding: A Framework for Controlling Nascent-Protein Folding","volume":"138","author":"AK Sharma","year":"2016","journal-title":"J Am Chem Soc"},{"key":"pcbi.1014729.ref008","doi-asserted-by":"crossref","first-page":"94","DOI":"10.1016\/j.sbi.2018.01.005","article-title":"Non-equilibrium coupling of protein structure and function to translation-elongation kinetics","volume":"49","author":"AK Sharma","year":"2018","journal-title":"Curr Opin Struct Biol"},{"issue":"38","key":"pcbi.1014729.ref009","doi-asserted-by":"crossref","first-page":"5995","DOI":"10.1021\/bi500825d","article-title":"Investigating the intrinsic aggregation potential of evolutionarily conserved segments in p53","volume":"53","author":"S Ghosh","year":"2014","journal-title":"Biochemistry"},{"key":"pcbi.1014729.ref010","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1146\/annurev-biochem-061516-044518","article-title":"Protein Misfolding Diseases","volume":"86","author":"FU Hartl","year":"2017","journal-title":"Annu Rev Biochem"},{"issue":"6129","key":"pcbi.1014729.ref011","doi-asserted-by":"crossref","first-page":"378","DOI":"10.1038\/328378a0","article-title":"Proteins as molecular chaperones","volume":"328","author":"J Ellis","year":"1987","journal-title":"Nature"},{"issue":"7356","key":"pcbi.1014729.ref012","doi-asserted-by":"crossref","first-page":"324","DOI":"10.1038\/nature10317","article-title":"Molecular chaperones in protein folding and proteostasis","volume":"475","author":"FU Hartl","year":"2011","journal-title":"Nature"},{"issue":"11","key":"pcbi.1014729.ref013","doi-asserted-by":"crossref","first-page":"846","DOI":"10.1002\/bip.22361","article-title":"ATP-driven molecular chaperone machines","volume":"99","author":"DK Clare","year":"2013","journal-title":"Biopolymers"},{"issue":"1","key":"pcbi.1014729.ref014","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1097\/01.GIM.0000151351.11876.C3","article-title":"Genetic disorders involving molecular-chaperone genes: a perspective","volume":"7","author":"AJL Macario","year":"2005","journal-title":"Genet Med"},{"issue":"2","key":"pcbi.1014729.ref015","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1016\/j.molcel.2010.10.006","article-title":"The heat shock response: life on the verge of death","volume":"40","author":"K Richter","year":"2010","journal-title":"Mol Cell"},{"issue":"6294","key":"pcbi.1014729.ref016","doi-asserted-by":"crossref","DOI":"10.1126\/science.aac4354","article-title":"In vivo aspects of protein folding and quality control","volume":"353","author":"D Balchin","year":"2016","journal-title":"Science"},{"issue":"11","key":"pcbi.1014729.ref017","doi-asserted-by":"crossref","first-page":"777","DOI":"10.1038\/nrm2993","article-title":"Cellular strategies for controlling protein aggregation","volume":"11","author":"J Tyedmers","year":"2010","journal-title":"Nat Rev Mol Cell Biol"},{"key":"pcbi.1014729.ref018","doi-asserted-by":"crossref","first-page":"631","DOI":"10.1146\/annurev.ge.22.120188.003215","article-title":"The heat-shock proteins","volume":"22","author":"S Lindquist","year":"1988","journal-title":"Annu Rev Genet"},{"issue":"2","key":"pcbi.1014729.ref019","doi-asserted-by":"crossref","first-page":"885","DOI":"10.1128\/jb.169.2.885-887.1987","article-title":"An alkaline shift induces the heat shock response in Escherichia coli","volume":"169","author":"D Taglicht","year":"1987","journal-title":"J Bacteriol"},{"key":"pcbi.1014729.ref020","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/S0168-1605(00)00206-3","article-title":"The heat shock response of Escherichia coli","volume":"55","author":"F Ars\u00e8ne","year":"2000","journal-title":"Int J Food Microbiol"},{"issue":"6137","key":"pcbi.1014729.ref021","doi-asserted-by":"crossref","first-page":"348","DOI":"10.1038\/329348a0","article-title":"The heat shock response of E. coli is regulated by changes in the concentration of sigma 32","volume":"329","author":"DB Straus","year":"1987","journal-title":"Nature"},{"issue":"2","key":"pcbi.1014729.ref022","doi-asserted-by":"crossref","first-page":"112240","DOI":"10.1016\/j.yexcr.2020.112240","article-title":"Mechanisms of sensing and response to proteotoxic stress","volume":"395","author":"AM Santiago","year":"2020","journal-title":"Exp Cell Res"},{"issue":"8","key":"pcbi.1014729.ref023","doi-asserted-by":"crossref","first-page":"2736","DOI":"10.1073\/pnas.0403510102","article-title":"Surviving heat shock: control strategies for robustness and performance","volume":"102","author":"H El-Samad","year":"2005","journal-title":"Proc Natl Acad Sci U S A"},{"issue":"7","key":"pcbi.1014729.ref024","doi-asserted-by":"crossref","DOI":"10.1371\/journal.pcbi.0020059","article-title":"Module-based analysis of robustness tradeoffs in the heat shock response system","volume":"2","author":"H Kurata","year":"2006","journal-title":"PLoS Comput Biol"},{"issue":"3","key":"pcbi.1014729.ref025","doi-asserted-by":"crossref","first-page":"351","DOI":"10.1016\/S0092-8674(00)80928-9","article-title":"The Hsp70 and Hsp60 chaperone machines","volume":"92","author":"B Bukau","year":"1998","journal-title":"Cell"},{"issue":"5","key":"pcbi.1014729.ref026","doi-asserted-by":"crossref","first-page":"833","DOI":"10.1016\/0092-8674(92)90294-M","article-title":"Physical interaction between heat shock proteins DnaK, DnaJ, and GrpE and the bacterial heat shock transcription factor sigma 32","volume":"69","author":"J Gamer","year":"1992","journal-title":"Cell"},{"key":"pcbi.1014729.ref027","unstructured":"Gross CA. Function and regulation of the heat shock proteins. E. coli and Salmonella typhimurium: cellular and molecular biology. 1996. p. 1382\u201399."},{"issue":"4","key":"pcbi.1014729.ref028","doi-asserted-by":"crossref","first-page":"671","DOI":"10.1111\/j.1365-2958.1993.tb01727.x","article-title":"Regulation of the Escherichia coli heat-shock response","volume":"9","author":"B Bukau","year":"1993","journal-title":"Mol Microbiol"},{"issue":"8","key":"pcbi.1014729.ref029","doi-asserted-by":"crossref","first-page":"3516","DOI":"10.1073\/pnas.89.8.3516","article-title":"The DnaK chaperone modulates the heat shock response of Escherichia coli by binding to the sigma 32 transcription factor","volume":"89","author":"K Liberek","year":"1992","journal-title":"Proc Natl Acad Sci U S A"},{"issue":"11","key":"pcbi.1014729.ref030","doi-asserted-by":"crossref","first-page":"2551","DOI":"10.1002\/j.1460-2075.1995.tb07253.x","article-title":"Escherichia coli FtsH is a membrane-bound, ATP-dependent protease which degrades the heat-shock transcription factor sigma 32","volume":"14","author":"T Tomoyasu","year":"1995","journal-title":"EMBO J"},{"issue":"8","key":"pcbi.1014729.ref031","doi-asserted-by":"crossref","first-page":"3516","DOI":"10.1073\/pnas.92.8.3516","article-title":"Degradation of sigma 32, the heat shock regulator in Escherichia coli, is governed by HflB","volume":"92","author":"C Herman","year":"1995","journal-title":"Proc Natl Acad Sci U S A"},{"issue":"3","key":"pcbi.1014729.ref032","doi-asserted-by":"crossref","first-page":"607","DOI":"10.1002\/j.1460-2075.1996.tb00393.x","article-title":"A cycle of binding and release of the DnaK, DnaJ and GrpE chaperones regulates activity of the Escherichia coli heat shock transcription factor sigma32","volume":"15","author":"J Gamer","year":"1996","journal-title":"EMBO J"},{"issue":"2","key":"pcbi.1014729.ref033","doi-asserted-by":"crossref","first-page":"401","DOI":"10.1128\/JB.181.2.401-410.1999","article-title":"Heat-induced synthesis of sigma32 in Escherichia coli: structural and functional dissection of rpoH mRNA secondary structure","volume":"181","author":"M Morita","year":"1999","journal-title":"J Bacteriol"},{"issue":"3","key":"pcbi.1014729.ref034","doi-asserted-by":"crossref","first-page":"545","DOI":"10.1128\/MMBR.00007-08","article-title":"Convergence of molecular, modeling, and systems approaches for an understanding of the Escherichia coli heat shock response","volume":"72","author":"E Guisbert","year":"2008","journal-title":"Microbiol Mol Biol Rev"},{"issue":"13","key":"pcbi.1014729.ref035","doi-asserted-by":"crossref","first-page":"1776","DOI":"10.1101\/gad.1428206","article-title":"Regulon and promoter analysis of the E. coli heat-shock factor, sigma32, reveals a multifaceted cellular response to heat stress","volume":"20","author":"G Nonaka","year":"2006","journal-title":"Genes Dev"},{"key":"pcbi.1014729.ref036","doi-asserted-by":"crossref","unstructured":"Kurata H, El-Samad H, Yi T-M, Khammash M, Doyle J. Feedback regulation of the heat shock response in E. coli. In: Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228). 2001;1:837\u201342.","DOI":"10.1109\/CDC.2001.980210"},{"issue":"1","key":"pcbi.1014729.ref037","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1046\/j.1365-2958.1999.01155.x","article-title":"On the mechanism of FtsH-dependent degradation of the <>32 transcriptional regulator of Escherichia coli and the role of the DnaK chaperone machine","volume":"31","author":"A Blaszczak","year":"1999","journal-title":"Mol Microbiol"},{"issue":"22","key":"pcbi.1014729.ref038","doi-asserted-by":"crossref","first-page":"2812","DOI":"10.1101\/gad.1219204","article-title":"A chaperone network controls the heat shock response in E. coli","volume":"18","author":"E Guisbert","year":"2004","journal-title":"Genes Dev"},{"issue":"45","key":"pcbi.1014729.ref039","doi-asserted-by":"crossref","first-page":"17638","DOI":"10.1073\/pnas.0708819104","article-title":"Analysis of sigma32 mutants defective in chaperone-mediated feedback control reveals unexpected complexity of the heat shock response","volume":"104","author":"T Yura","year":"2007","journal-title":"Proc Natl Acad Sci U S A"},{"issue":"10","key":"pcbi.1014729.ref040","doi-asserted-by":"crossref","first-page":"507","DOI":"10.1016\/j.tibs.2013.08.001","article-title":"Hsp70 chaperone dynamics and molecular mechanism","volume":"38","author":"MP Mayer","year":"2013","journal-title":"Trends Biochem Sci"},{"issue":"6","key":"pcbi.1014729.ref041","doi-asserted-by":"crossref","first-page":"670","DOI":"10.1007\/s00018-004-4464-6","article-title":"Hsp70 chaperones: cellular functions and molecular mechanism","volume":"62","author":"MP Mayer","year":"2005","journal-title":"Cell Mol Life Sci"},{"key":"pcbi.1014729.ref042","doi-asserted-by":"crossref","first-page":"2003","DOI":"10.1101\/gad.3.12a.2003","article-title":"The activity of sigma 32 is reduced under conditions of excess heat shock protein production in Escherichia coli","volume":"3","author":"DB Straus","year":"1989","journal-title":"Genes Dev"},{"issue":"37","key":"pcbi.1014729.ref043","doi-asserted-by":"crossref","first-page":"33641","DOI":"10.1074\/jbc.M203197200","article-title":"DnaK-sigma 32 interaction is temperature-dependent. Implication for the mechanism of heat shock response","volume":"277","author":"R Chattopadhyay","year":"2002","journal-title":"J Biol Chem"},{"issue":"11","key":"pcbi.1014729.ref044","doi-asserted-by":"crossref","first-page":"5860","DOI":"10.1073\/pnas.080495197","article-title":"Dynamic interplay between antagonistic pathways controlling the sigma 32 level in Escherichia coli","volume":"97","author":"MT Morita","year":"2000","journal-title":"Proc Natl Acad Sci U S A"},{"issue":"3","key":"pcbi.1014729.ref045","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1016\/S0014-5793(00)01869-X","article-title":"Evidence for an active role of the DnaK chaperone system in the degradation of sigma(32)","volume":"478","author":"T Tatsuta","year":"2000","journal-title":"FEBS Lett"},{"issue":"2","key":"pcbi.1014729.ref046","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1101\/gad.1.2.179","article-title":"Sigma 32 synthesis can regulate the synthesis of heat shock proteins in Escherichia coli","volume":"1","author":"AD Grossman","year":"1987","journal-title":"Genes Dev"},{"issue":"20","key":"pcbi.1014729.ref047","doi-asserted-by":"crossref","first-page":"5085","DOI":"10.1002\/j.1460-2075.1995.tb00190.x","article-title":"Both ambient temperature and the DnaK chaperone machine modulate the heat shock response in Escherichia coli by regulating the switch between sigma 70 and sigma 32 factors assembled with RNA polymerase","volume":"14","author":"A Blaszczak","year":"1995","journal-title":"EMBO J"},{"issue":"4","key":"pcbi.1014729.ref048","doi-asserted-by":"crossref","first-page":"833","DOI":"10.1006\/jmbi.1998.1815","article-title":"Catapult mechanism renders the chaperone action of Hsp70 unidirectional","volume":"279","author":"SM Gisler","year":"1998","journal-title":"J Mol Biol"},{"issue":"5149","key":"pcbi.1014729.ref049","doi-asserted-by":"crossref","first-page":"971","DOI":"10.1126\/science.8310296","article-title":"Kinetics of molecular chaperone action","volume":"263","author":"D Schmid","year":"1994","journal-title":"Science"},{"issue":"10","key":"pcbi.1014729.ref050","doi-asserted-by":"crossref","first-page":"5452","DOI":"10.1073\/pnas.96.10.5452","article-title":"Mechanism of regulation of hsp70 chaperones by DnaJ cochaperones","volume":"96","author":"T Laufen","year":"1999","journal-title":"Proc Natl Acad Sci U S A"},{"issue":"2","key":"pcbi.1014729.ref051","doi-asserted-by":"crossref","first-page":"496","DOI":"10.1529\/biophysj.106.083394","article-title":"Modeling Hsp70-mediated protein folding","volume":"91","author":"B Hu","year":"2006","journal-title":"Biophys J"},{"issue":"49","key":"pcbi.1014729.ref052","doi-asserted-by":"crossref","first-page":"12101","DOI":"10.1021\/acs.jpcb.4c06594","article-title":"Speed-Energy-Efficiency Trade-off in Hsp70 Chaperone System","volume":"128","author":"R Chauhan","year":"2024","journal-title":"J Phys Chem B"},{"issue":"4","key":"pcbi.1014729.ref053","doi-asserted-by":"crossref","first-page":"388","DOI":"10.1038\/s41589-018-0013-8","article-title":"Chaperones convert the energy from ATP into the nonequilibrium stabilization of native proteins","volume":"14","author":"P Goloubinoff","year":"2018","journal-title":"Nat Chem Biol"},{"issue":"3","key":"pcbi.1014729.ref054","doi-asserted-by":"crossref","first-page":"624","DOI":"10.1016\/j.cell.2014.02.033","article-title":"Quantifying absolute protein synthesis rates reveals principles underlying allocation of cellular resources","volume":"157","author":"G-W Li","year":"2014","journal-title":"Cell"},{"issue":"6","key":"pcbi.1014729.ref055","doi-asserted-by":"crossref","first-page":"066003","DOI":"10.1088\/1478-3975\/9\/6\/066003","article-title":"Circuit architecture explains functional similarity of bacterial heat shock responses","volume":"9","author":"M Inoue","year":"2012","journal-title":"Phys Biol"},{"key":"pcbi.1014729.ref056","unstructured":"Bremer H, Dennis PP. Modulation of chemical composition and other parameters of the cell by growth rate. Escherichia coli and Salmonella: cellular and molecular biology. 1996. 1553 p."},{"key":"pcbi.1014729.ref057","unstructured":"Neidhardt FC, Ingraham JL, Low KB, Schaechter M, Magasanik B, Umbarger HE. Escherichia coli and Salmonella typhimurium: cellular and molecular biology. 1987;1."},{"issue":"1","key":"pcbi.1014729.ref058","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1016\/0092-8674(78)90312-4","article-title":"Patterns of protein synthesis in E. coli: a catalog of the amount of 140 individual proteins at different growth rates","volume":"14","author":"S Pedersen","year":"1978","journal-title":"Cell"},{"issue":"9","key":"pcbi.1014729.ref059","doi-asserted-by":"crossref","first-page":"786","DOI":"10.1093\/bioinformatics\/16.9.786","article-title":"Extending the method of mathematically controlled comparison to include numerical comparisons","volume":"16","author":"R Alves","year":"2000","journal-title":"Bioinformatics"},{"issue":"17","key":"pcbi.1014729.ref060","doi-asserted-by":"crossref","first-page":"174104","DOI":"10.1063\/1.5011786","article-title":"Large deviation theory for the kinetics and energetics of turnover of enzyme catalysis in a chemiostatic flow","volume":"148","author":"B Das","year":"2018","journal-title":"J Chem Phys"},{"issue":"11","key":"pcbi.1014729.ref061","doi-asserted-by":"crossref","first-page":"111102","DOI":"10.1063\/1.5144726","article-title":"The guiding role of dissipation in kinetic proofreading networks: Implications for protein synthesis","volume":"152","author":"K Banerjee","year":"2020","journal-title":"J Chem Phys"},{"issue":"12","key":"pcbi.1014729.ref062","doi-asserted-by":"crossref","first-page":"125102","DOI":"10.1063\/5.0226904","article-title":"Elucidating the link between binding statistics and Shannon information in biological networks","volume":"161","author":"K Banerjee","year":"2024","journal-title":"J Chem Phys"},{"issue":"2","key":"pcbi.1014729.ref063","doi-asserted-by":"crossref","first-page":"585","DOI":"10.1046\/j.1365-2958.2003.03710.x","article-title":"Small heat shock proteins, ClpB and the DnaK system form a functional triade in reversing protein aggregation","volume":"50","author":"A Mogk","year":"2003","journal-title":"Mol Microbiol"},{"issue":"4","key":"pcbi.1014729.ref064","doi-asserted-by":"crossref","first-page":"409","DOI":"10.1023\/A:1015277805345","article-title":"Kinetics of protein aggregation. Quantitative estimation of the chaperone-like activity in test-systems based on suppression of protein aggregation","volume":"67","author":"BI Kurganov","year":"2002","journal-title":"Biochemistry (Mosc)"},{"issue":"11","key":"pcbi.1014729.ref065","doi-asserted-by":"crossref","first-page":"1645","DOI":"10.3390\/biom12111645","article-title":"Lessons Learned from Two Decades of Modeling the Heat-Shock Response","volume":"12","author":"A Ranawade","year":"2022","journal-title":"Biomolecules"},{"issue":"3","key":"pcbi.1014729.ref066","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1266\/ggs.19-00005","article-title":"Regulation of the heat shock response in Escherichia coli: history and perspectives","volume":"94","author":"T Yura","year":"2019","journal-title":"Genes Genet Syst"},{"issue":"6085","key":"pcbi.1014729.ref067","doi-asserted-by":"crossref","first-page":"1157","DOI":"10.1126\/science.1217405","article-title":"Evolutionary trade-offs, Pareto optimality, and the geometry of phenotype space","volume":"336","author":"O Shoval","year":"2012","journal-title":"Science"},{"issue":"7050","key":"pcbi.1014729.ref068","doi-asserted-by":"crossref","first-page":"588","DOI":"10.1038\/nature03842","article-title":"Optimality and evolutionary tuning of the expression level of a protein","volume":"436","author":"E Dekel","year":"2005","journal-title":"Nature"},{"key":"pcbi.1014729.ref069","doi-asserted-by":"crossref","unstructured":"Konieczny L, Roterman-Konieczna I, Sp\u00f3lnik P. Systems Biology: Functional Strategies of Living Organisms. 2023.","DOI":"10.1007\/978-3-031-31557-2"},{"issue":"19","key":"pcbi.1014729.ref070","doi-asserted-by":"crossref","first-page":"3541","DOI":"10.1242\/jcs.189803","article-title":"Human satellite-III non-coding RNAs modulate heat-shock-induced transcriptional repression","volume":"129","author":"A Goenka","year":"2016","journal-title":"J Cell Sci"},{"issue":"3","key":"pcbi.1014729.ref071","doi-asserted-by":"crossref","first-page":"1646","DOI":"10.1529\/biophysj.104.055301","article-title":"Mathematical modeling of the eukaryotic heat-shock response: dynamics of the hsp70 promoter","volume":"88","author":"TR Rieger","year":"2005","journal-title":"Biophys J"},{"issue":"6","key":"pcbi.1014729.ref072","doi-asserted-by":"crossref","first-page":"450","DOI":"10.1038\/nrg2102","article-title":"Network motifs: theory and experimental approaches","volume":"8","author":"U Alon","year":"2007","journal-title":"Nat Rev Genet"},{"key":"pcbi.1014729.ref073","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1146\/annurev.physiol.61.1.243","article-title":"Heat-shock proteins, molecular chaperones, and the stress response: evolutionary and ecological physiology","volume":"61","author":"ME Feder","year":"1999","journal-title":"Annu Rev Physiol"},{"issue":"5","key":"pcbi.1014729.ref074","doi-asserted-by":"crossref","first-page":"975","DOI":"10.1016\/j.cell.2014.01.055","article-title":"Interplay of acetyltransferase EP300 and the proteasome system in regulating heat shock transcription factor 1","volume":"156","author":"S Raychaudhuri","year":"2014","journal-title":"Cell"},{"key":"pcbi.1014729.ref075","doi-asserted-by":"crossref","DOI":"10.7554\/eLife.18638","article-title":"Dynamic control of Hsf1 during heat shock by a chaperone switch and phosphorylation","volume":"5","author":"X Zheng","year":"2016","journal-title":"Elife"},{"key":"pcbi.1014729.ref076","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1101\/sqb.2012.76.010637","article-title":"The heat shock response: systems biology of proteotoxic stress in aging and disease","volume":"76","author":"RI Morimoto","year":"2011","journal-title":"Cold Spring Harb Symp Quant Biol"},{"issue":"7","key":"pcbi.1014729.ref077","doi-asserted-by":"crossref","first-page":"421","DOI":"10.1038\/s41580-019-0101-y","article-title":"The proteostasis network and its decline in ageing","volume":"20","author":"MS Hipp","year":"2019","journal-title":"Nat Rev Mol Cell Biol"},{"issue":"2","key":"pcbi.1014729.ref078","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1016\/S1568-1637(01)00005-8","article-title":"Sick chaperones and ageing: a perspective","volume":"1","author":"AJL Macario","year":"2002","journal-title":"Ageing Res Rev"},{"issue":"9","key":"pcbi.1014729.ref079","doi-asserted-by":"crossref","DOI":"10.1101\/cshperspect.a034017","article-title":"Structure, Function, and Regulation of the Hsp90 Machinery","volume":"11","author":"MM Biebl","year":"2019","journal-title":"Cold Spring Harb Perspect Biol"}],"updated-by":[{"DOI":"10.1371\/journal.pcbi.1014729","type":"new_version","label":"New version","source":"publisher","updated":{"date-parts":[[2026,9,15]],"date-time":"2026-09-15T00:00:00Z","timestamp":1789430400000}}],"container-title":["PLOS Computational Biology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dx.plos.org\/10.1371\/journal.pcbi.1014729","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,9,15]],"date-time":"2026-09-15T18:34:57Z","timestamp":1789497297000},"score":1,"resource":{"primary":{"URL":"https:\/\/dx.plos.org\/10.1371\/journal.pcbi.1014729"}},"subtitle":[],"editor":[{"given":"Christoph","family":"Kaleta","sequence":"first","affiliation":[{"name":"Christian Albrechts Universitat zu Kiel","place":["GERMANY"]}],"role":[{"vocabulary":"crossref","role":"editor"}]}],"short-title":[],"issued":{"date-parts":[[2026,9,2]]},"references-count":79,"journal-issue":{"issue":"9","published-online":{"date-parts":[[2026,9,2]]}},"URL":"https:\/\/doi.org\/10.1371\/journal.pcbi.1014729","relation":{},"ISSN":["1553-7358"],"issn-type":[{"value":"1553-7358","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,9,2]]}}}