Szymanska2009 - Mathematical modeling of heat shock protein synthesis in response to temperature change

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Model Identifier
BIOMD0000000896
Short description 
This is a mathematical model of heat shock protein synthesis induced by an external temperature stimulus. The model consists of a system of nine nonlinear ordinary differential equations describing the temporal evolution of key variables involved in the regulation of HSP synthesis.
Format
SBML (L2V4)
Related Publication
  • Mathematical modeling of heat shock protein synthesis in response to temperature change.
  • Szymańska Z, Zylicz M
  • Journal of theoretical biology , 8/ 2009 , Volume 259 , Issue 3 , pages: 562-569 , PubMed ID: 19327370
  • ICM, University of Warsaw, Pawińskiego 5a, 02-106 Warszawa, Poland. mysz@icm.edu.pl
  • One of the most important questions in cell biology is how cells cope with rapid changes in their environment. The range of common molecular responses includes a dramatic change in the pattern of gene expression and the elevated synthesis of so-called heat shock (or stress) proteins (HSPs). Induction of HSPs increases cell survival under stress conditions [Morimoto, R.I., 1993. Cells in stress: transcriptional activation of heat shock genes. Science 259, 1409-1410]. In this paper we propose a mathematical model of heat shock protein synthesis induced by an external temperature stimulus. Our model consists of a system of nine nonlinear ordinary differential equations describing the temporal evolution of the key variables involved in the regulation of HSP synthesis. Computational simulations of our model are carried out for different external temperature stimuli. We compare our model predictions with experimental data for three different cases-one corresponding to heat shock, the second corresponding to slow heating conditions and the third corresponding to a short heat shock (lasting about 40 min). We also present our model predictions for heat shocks carried out up to different final temperatures and finally we present a new hypothesis concerning the molecular response to stress that explains some phenomena observed in experiments.
Contributors
Submitter of the first revision: Johannes Meyer
Submitter of this revision: Johannes Meyer
Modellers: Johannes Meyer

Metadata information

hasTaxon (1 statement)
Taxonomy Homo sapiens

hasProperty (2 statements)
Mathematical Modelling Ontology Ordinary differential equation model
NCIt Signaling Pathway

Curation status
Curated
Modelling approach(es)
ordinary differential equation model
Tags

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Model files
Szymanska2009.xml SBML L2V4 Representation of Szymanska2009 - Mathematical modeling of heat shock protein synthesis in response to temperature change 65.18 KB Preview | Download

Additional files
Szymanska2009.cps COPASI file of Szymanska2009 - Mathematical modeling of heat shock protein synthesis in response to temperature change 91.68 KB Preview | Download
Szymanska2009.sedml SED-ML file of Szymanska2009 - Mathematical modeling of heat shock protein synthesis in response to temperature change 1.71 KB Preview | Download

  • Model originally submitted by : Johannes Meyer
  • Submitted: Dec 16, 2019 4:32:52 PM
  • Last Modified: Dec 16, 2019 4:32:52 PM
Revisions
  • Version: 2 public model Download this version
    • Submitted on: Dec 16, 2019 4:32:52 PM
    • Submitted by: Johannes Meyer
    • With comment: Automatically added model identifier BIOMD0000000896
Legends
: Variable used inside SBML models


Species
Species Initial Concentration/Amount
Hsp70 HSF

C71446 ; C17765 		76.4593 mmol
HSF 3

C71446 		0.0535203 mmol
mRNA

C17765 ; Messenger RNA 		1.01603 mmol
S

C120264 ; MI:0908 		3.09E-17 mmol
HSF

C71446 		0.332019 mmol
Reactions
Reactions Rate Parameters
Hsp70_HSF => Hsp70 + HSF compartment*l_1*Hsp70_HSF l_1 = 0.005
HSF => HSF_3 compartment*k_3*HSF^3 k_3 = 0.023
HSF_3_HSE => HSE + HSF_3 compartment*l_7*HSF_3_HSE l_7 = 0.035
=> mRNA; HSF_3_HSE compartment*k_8*HSF_3_HSE k_8 = 0.035
S + Hsp70_HSF => Hsp70_S + HSF compartment*k_6*S*Hsp70_HSF k_6 = 0.023
HSF_3 + Hsp70 => HSF + Hsp70_HSF compartment*l_3*HSF_3*Hsp70 l_3 = 0.00575
Hsp70 + S => Hsp70_S compartment*k_2*Hsp70*S k_2 = 0.42
Hsp70_S + HSF => Hsp70_HSF + S compartment*l_6*Hsp70_S*HSF l_6 = 3.6E-4
Curator's comment:
(added: 16 Dec 2019, 16:32:42, updated: 16 Dec 2019, 16:32:42)
Reproduced plot of Figure 3 in the original publication. Model simulated and plot produced using COPASI 4.24 (Build 197).