Skip to main content
Erschienen in: Natural Computing 1/2011

01.03.2011

A simple mass-action model for the eukaryotic heat shock response and its mathematical validation

verfasst von: Ion Petre, Andrzej Mizera, Claire L. Hyder, Annika Meinander, Andrey Mikhailov, Richard I. Morimoto, Lea Sistonen, John E. Eriksson, Ralph-Johan Back

Erschienen in: Natural Computing | Ausgabe 1/2011

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The heat shock response is a primordial defense mechanism against cell stress and protein misfolding. It proceeds with the minimum number of mechanisms that any regulatory network must include, a stress-induced activation and a feedback regulation, and can thus be regarded as the archetype for a cellular regulatory process. We propose here a simple mechanistic model for the eukaryotic heat shock response, including its mathematical validation. Based on numerical predictions of the model and on its sensitivity analysis, we minimize the model by identifying the reactions with marginal contribution to the heat shock response. As the heat shock response is a very basic and conserved regulatory network, our analysis of the network provides a useful foundation for modeling strategies of more complex cellular processes.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat Abravaya K, Philips B, Morimoto RI (1991) Attenuation of the heat-shock response in Hela-cells is mediated by the release of bound heat-shock transcription factor and is modulated by changes in growth and in heat-shock temperatures. Genes Dev 5(11):2117–2127CrossRef Abravaya K, Philips B, Morimoto RI (1991) Attenuation of the heat-shock response in Hela-cells is mediated by the release of bound heat-shock transcription factor and is modulated by changes in growth and in heat-shock temperatures. Genes Dev 5(11):2117–2127CrossRef
Zurück zum Zitat Abravaya K, Myers M, Murphy S, Morimoto RI (1992) Human heat shock protein HSP70 interacts with HSF, the transcription factor that regulates heat shock gene expression. Genes Dev 6:1153–1164CrossRef Abravaya K, Myers M, Murphy S, Morimoto RI (1992) Human heat shock protein HSP70 interacts with HSF, the transcription factor that regulates heat shock gene expression. Genes Dev 6:1153–1164CrossRef
Zurück zum Zitat Balch WE, Morimoto RI, Dillin A, Kelly JW (2008) Adapting proteostasis for disease intervention. Science 319:916–919CrossRef Balch WE, Morimoto RI, Dillin A, Kelly JW (2008) Adapting proteostasis for disease intervention. Science 319:916–919CrossRef
Zurück zum Zitat Ballew RM, Sabelko J, Gruebele M (1996) Direct observation of fast protein folding: the initial collapse of apomyoglobin. Proc Natl Acad Sci USA 93:5759-64CrossRef Ballew RM, Sabelko J, Gruebele M (1996) Direct observation of fast protein folding: the initial collapse of apomyoglobin. Proc Natl Acad Sci USA 93:5759-64CrossRef
Zurück zum Zitat Chen Y, Voegli TS, Liu PP, Noble EG, Currie RW (2007) Heat shock paradox and a new role of heat shock proteins and their receptors as anti-inflammation targets. Inflamm Allergy Drug Targets 6(2):91–100CrossRef Chen Y, Voegli TS, Liu PP, Noble EG, Currie RW (2007) Heat shock paradox and a new role of heat shock proteins and their receptors as anti-inflammation targets. Inflamm Allergy Drug Targets 6(2):91–100CrossRef
Zurück zum Zitat Chen WW, Schorberl B, Jasper PJ, Niepel M, Nielsen UB, Lauffenburger DA, Sorger PK (2009) Input–output behavior of ErbB signaling pathways as revealed by a mass action model trained against dynamic data. Mol Syst Biol 5:1–19 Chen WW, Schorberl B, Jasper PJ, Niepel M, Nielsen UB, Lauffenburger DA, Sorger PK (2009) Input–output behavior of ErbB signaling pathways as revealed by a mass action model trained against dynamic data. Mol Syst Biol 5:1–19
Zurück zum Zitat Ciocca DR, Calderwood SK (2005) Heat shock proteins in cancer: diagnostic, prognostic, predictive, and treatment implications. Cell Stress Chaperones 10(2):86–103CrossRef Ciocca DR, Calderwood SK (2005) Heat shock proteins in cancer: diagnostic, prognostic, predictive, and treatment implications. Cell Stress Chaperones 10(2):86–103CrossRef
Zurück zum Zitat Donati YRA, Slosman DO, Polla BS (1990) Oxidative injury and the heat shock response. Biochem Pharmacol 40:2571–2577CrossRef Donati YRA, Slosman DO, Polla BS (1990) Oxidative injury and the heat shock response. Biochem Pharmacol 40:2571–2577CrossRef
Zurück zum Zitat El Samad H, Kurata H, Doyle JC, Gross CA, Khammash M (2005) Surviving heat shock: control strategies for robustness and performance. Proc Natl Acad Sci USA 102(8):2736–2741CrossRef El Samad H, Kurata H, Doyle JC, Gross CA, Khammash M (2005) Surviving heat shock: control strategies for robustness and performance. Proc Natl Acad Sci USA 102(8):2736–2741CrossRef
Zurück zum Zitat Guldberg CM, Waage P (1864) Studies concerning affinity. C. M. Forhandlinger: Videnskabs-Selskabet i Christiana 35 Guldberg CM, Waage P (1864) Studies concerning affinity. C. M. Forhandlinger: Videnskabs-Selskabet i Christiana 35
Zurück zum Zitat Guldberg CM, Waage P (1879) Concerning chemical affinity. Erdmann’s Journal fr Practische Chemie 127:69–114CrossRef Guldberg CM, Waage P (1879) Concerning chemical affinity. Erdmann’s Journal fr Practische Chemie 127:69–114CrossRef
Zurück zum Zitat Helton JC, Davis FJ (2002) Illustration of sampling-based methods for uncertainty and sensitivity analysis. Risk Anal 22(3):591–622CrossRef Helton JC, Davis FJ (2002) Illustration of sampling-based methods for uncertainty and sensitivity analysis. Risk Anal 22(3):591–622CrossRef
Zurück zum Zitat Helton JC, Davis FJ (2003) Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems. Reliab Eng Syst Saf 81:23–69CrossRef Helton JC, Davis FJ (2003) Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems. Reliab Eng Syst Saf 81:23–69CrossRef
Zurück zum Zitat Holmberg CI, Tran SE, Eriksson JE, Sistonen L (2002) Multisite phosphorylation provides sophisticated regulation of transcription factors. Trends Biochem Sci 27(12):619–627CrossRef Holmberg CI, Tran SE, Eriksson JE, Sistonen L (2002) Multisite phosphorylation provides sophisticated regulation of transcription factors. Trends Biochem Sci 27(12):619–627CrossRef
Zurück zum Zitat Hoops S, Sahle S, Gauges R, Lee C, Pahle J, Simus N, Singhal M, Xu L, Mendes P, Kummer U (2006) COPASI—a COmplex PAthway SImulator. Bioinformatics 22:3067–3074CrossRef Hoops S, Sahle S, Gauges R, Lee C, Pahle J, Simus N, Singhal M, Xu L, Mendes P, Kummer U (2006) COPASI—a COmplex PAthway SImulator. Bioinformatics 22:3067–3074CrossRef
Zurück zum Zitat Jones CM, Henry ER, Hu Y, Chan C, Luck SD, Bhuyan A, Roder H, Hofrichter J, Eaton WA, et al. (1993) Fast events in protein folding initiated by nanosecond laser photolysis. Proc Natl Acad Sci USA 90:11860–64CrossRef Jones CM, Henry ER, Hu Y, Chan C, Luck SD, Bhuyan A, Roder H, Hofrichter J, Eaton WA, et al. (1993) Fast events in protein folding initiated by nanosecond laser photolysis. Proc Natl Acad Sci USA 90:11860–64CrossRef
Zurück zum Zitat Kline MP, Morimoto RI (1997) Repression of the heat shock factor 1 transcriptional activation domain is modulated by constitutive phosphorylation. Mol Cell Biol 17(4):2107–2115 Kline MP, Morimoto RI (1997) Repression of the heat shock factor 1 transcriptional activation domain is modulated by constitutive phosphorylation. Mol Cell Biol 17(4):2107–2115
Zurück zum Zitat Lepock JR, Frey HE, Ritchie KP (1993) Protein denaturation in intact hepatocytes and isolated cellular organelles during heat shock. J Cell Biol 122(6):1267–1276CrossRef Lepock JR, Frey HE, Ritchie KP (1993) Protein denaturation in intact hepatocytes and isolated cellular organelles during heat shock. J Cell Biol 122(6):1267–1276CrossRef
Zurück zum Zitat Lipan O, Navenot J-M, Wang Z, Huang L, Peiper SC (2007) Heat shock response in CHO mammalian cells is controlled by a nonlinear stochastic process. PLoS Comput Biol 3(10):1859–1870MathSciNetCrossRef Lipan O, Navenot J-M, Wang Z, Huang L, Peiper SC (2007) Heat shock response in CHO mammalian cells is controlled by a nonlinear stochastic process. PLoS Comput Biol 3(10):1859–1870MathSciNetCrossRef
Zurück zum Zitat McKay MD, Beckman RJ, Conover WJ (1979) A comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technometrics 21(2):239-245 McKay MD, Beckman RJ, Conover WJ (1979) A comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technometrics 21(2):239-245
Zurück zum Zitat Morimoto RI (1998) Regulation of the heat shock transcriptional response: cross talk between a family of heat shock factors, molecular chaperones, and negative regulators. Genes Dev 12:3788–3796CrossRef Morimoto RI (1998) Regulation of the heat shock transcriptional response: cross talk between a family of heat shock factors, molecular chaperones, and negative regulators. Genes Dev 12:3788–3796CrossRef
Zurück zum Zitat Morimoto RI (2008) Proteotoxic stress and inducible chaperone networks in neurodegenerative disease and aging. Genes Dev 22:1427–1438CrossRef Morimoto RI (2008) Proteotoxic stress and inducible chaperone networks in neurodegenerative disease and aging. Genes Dev 22:1427–1438CrossRef
Zurück zum Zitat Morimoto RI, Jurivich DA, Kroger PE, Mathur SK, Murphy SP, et al (1994) Regulation of heat shock gene transcription by a family of heat shock factors. In: Morimoto RI, Tissières A, Georgopoulos C (eds) The biology of the heat shock proteins and molecular chaperones. Cold Spring Harbor Laboratory, New York, pp. 417–455 Morimoto RI, Jurivich DA, Kroger PE, Mathur SK, Murphy SP, et al (1994) Regulation of heat shock gene transcription by a family of heat shock factors. In: Morimoto RI, Tissières A, Georgopoulos C (eds) The biology of the heat shock proteins and molecular chaperones. Cold Spring Harbor Laboratory, New York, pp. 417–455
Zurück zum Zitat Oberguggenberger M, King J, Schmelzer B (2009) Classical and imprecise probability methods for sensitivity analysis in engineering: a case study. Int J Approx Reason 50:680-693CrossRef Oberguggenberger M, King J, Schmelzer B (2009) Classical and imprecise probability methods for sensitivity analysis in engineering: a case study. Int J Approx Reason 50:680-693CrossRef
Zurück zum Zitat Parsell DA, Lindquist S (1993) The function of heat-shock proteins in stress tolerance: degradation and reactivation of damaged proteins. Ann Rev Genetics 27:437–496CrossRef Parsell DA, Lindquist S (1993) The function of heat-shock proteins in stress tolerance: degradation and reactivation of damaged proteins. Ann Rev Genetics 27:437–496CrossRef
Zurück zum Zitat Peper A, Grimbergen CA, Spaan JAE, Souren JEM, van Wijk R (1997) A mathematical model of the hsp70 regulation in the cell. Int J Hyperth 14(1):97–124CrossRef Peper A, Grimbergen CA, Spaan JAE, Souren JEM, van Wijk R (1997) A mathematical model of the hsp70 regulation in the cell. Int J Hyperth 14(1):97–124CrossRef
Zurück zum Zitat Petre I, Mizera A, Hyder CL, Mikhailov A, Eriksson JE, Sistonen L, Back R-J (2009) A new mathematical model for the heat shock response. In: Condon A, Harel D, Kok J, Salomaa A (eds) Algorithmic bioprocesses. Springer, New York, pp. 411–428 Petre I, Mizera A, Hyder CL, Mikhailov A, Eriksson JE, Sistonen L, Back R-J (2009) A new mathematical model for the heat shock response. In: Condon A, Harel D, Kok J, Salomaa A (eds) Algorithmic bioprocesses. Springer, New York, pp. 411–428
Zurück zum Zitat Pockley AG (2003) Heat shock proteins as regulators of the immune response. The Lancet 362(9382):469–476CrossRef Pockley AG (2003) Heat shock proteins as regulators of the immune response. The Lancet 362(9382):469–476CrossRef
Zurück zum Zitat Powers MV, Workman P (2007) Inhibitors of the heat shock response: biology and pharmacology. FEBS Lett 581(19):3758–3769CrossRef Powers MV, Workman P (2007) Inhibitors of the heat shock response: biology and pharmacology. FEBS Lett 581(19):3758–3769CrossRef
Zurück zum Zitat Remondini D, Bernardini C, Forni M, Bersani F, Castellani GC, Bacci ML (2006) Induced metastable memory in heat shock response. J Biol Phys 32:49–59CrossRef Remondini D, Bernardini C, Forni M, Bersani F, Castellani GC, Bacci ML (2006) Induced metastable memory in heat shock response. J Biol Phys 32:49–59CrossRef
Zurück zum Zitat Rieger TR, Morimoto RI, Hatzimanikatis V (2005) Mathematical modeling of the eukaryotic heat shock response: dynamics of the Hsp70 promoter. Biophys J 88:1646–1658CrossRef Rieger TR, Morimoto RI, Hatzimanikatis V (2005) Mathematical modeling of the eukaryotic heat shock response: dynamics of the Hsp70 promoter. Biophys J 88:1646–1658CrossRef
Zurück zum Zitat Shi Y, Mosser D, Morimoto RI (1998) Molecular chaperones as HSF1 specific transcriptional repressors. Genes Dev 12:654–666CrossRef Shi Y, Mosser D, Morimoto RI (1998) Molecular chaperones as HSF1 specific transcriptional repressors. Genes Dev 12:654–666CrossRef
Zurück zum Zitat Srivastava R, Peterson MS, Bentley WE (2001) Stochastic kinetic analysis of the Escherichia coli stress circuit using σ32-trageted antisense. Biotechnol Bioeng 75(1):120–129CrossRef Srivastava R, Peterson MS, Bentley WE (2001) Stochastic kinetic analysis of the Escherichia coli stress circuit using σ32-trageted antisense. Biotechnol Bioeng 75(1):120–129CrossRef
Zurück zum Zitat Szymańska Z, Zylicz M (2009) Mathematical modeling of heat shock protein synthesis in response to temperature change. J Theoret Biol 259:562–569CrossRef Szymańska Z, Zylicz M (2009) Mathematical modeling of heat shock protein synthesis in response to temperature change. J Theoret Biol 259:562–569CrossRef
Zurück zum Zitat Turanyi T (1990) Sensitivity analysis of complex kinetic systems—tools and applications. J Math Chem 5(3):203–248MathSciNetCrossRef Turanyi T (1990) Sensitivity analysis of complex kinetic systems—tools and applications. J Math Chem 5(3):203–248MathSciNetCrossRef
Zurück zum Zitat Vastag B (2006) HSP-90 inhibitors promise to complement cancer therapies. Nat Biotechnol 24(11):1307CrossRef Vastag B (2006) HSP-90 inhibitors promise to complement cancer therapies. Nat Biotechnol 24(11):1307CrossRef
Zurück zum Zitat Voellmy R (1994) Transduction of the stress signal and mechanisms of transcriptional regulation of heat shock/stress protein gene expression in higher eukaryotes. Crit Rev Eukaryot Gene Expr 4:357–401 Voellmy R (1994) Transduction of the stress signal and mechanisms of transcriptional regulation of heat shock/stress protein gene expression in higher eukaryotes. Crit Rev Eukaryot Gene Expr 4:357–401
Zurück zum Zitat Voellmy R, Boellmann F (2007) Chaperone regulation of the heat shock protein response. Adv Exp Med Biol 594:89–99CrossRef Voellmy R, Boellmann F (2007) Chaperone regulation of the heat shock protein response. Adv Exp Med Biol 594:89–99CrossRef
Metadaten
Titel
A simple mass-action model for the eukaryotic heat shock response and its mathematical validation
verfasst von
Ion Petre
Andrzej Mizera
Claire L. Hyder
Annika Meinander
Andrey Mikhailov
Richard I. Morimoto
Lea Sistonen
John E. Eriksson
Ralph-Johan Back
Publikationsdatum
01.03.2011
Verlag
Springer Netherlands
Erschienen in
Natural Computing / Ausgabe 1/2011
Print ISSN: 1567-7818
Elektronische ISSN: 1572-9796
DOI
https://doi.org/10.1007/s11047-010-9216-y

Weitere Artikel der Ausgabe 1/2011

Natural Computing 1/2011 Zur Ausgabe

Premium Partner