A mathematical model of the hsp70 regulation in the cell

Peper, A.; Grimbergen, C.A.; Spaan, J. A. E.; Souren, J. E. M.; Wijk, Roeland Van

doi:10.3109/02656739809018218

Cited by 60 publications

(65 citation statements)

References 64 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the first step, two monomers form one dimer. In the second step, one monomer binds to one HSF dimer forming one trimer [11]. For simplicity we do not consider the process of dimer formation in our model.…”

Section: The Mathematical Modelmentioning

confidence: 99%

“…the temperature T. The temperature-dependent process of protein denaturation has been investigated previously and the fraction of protein denaturation (V den ) as a function of temperature, in the range of 37-45 o C, has been approximated by Peper et al [11]. The precise functional form can be written as:…”

Section: Modelling the Impact Of Different Temperature Regimesmentioning

confidence: 99%

“…where T is the temperature in C o [11]. We assume that F(T) function is proportional to the value of V den .…”

Section: Modelling the Impact Of Different Temperature Regimesmentioning

confidence: 99%

“…Previous mathematical models of heat shock proteins include those of Peper et al [11], Rieger et al [13,14] and Szymańska et al [18]. Apart from the latter, these papers examine the changes in Hsp70 synthesis in response to external stimuli such as heat.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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

Szymańska

Żylicz

2009

Journal of Theoretical Biology

View full text Add to dashboard Cite

To cite this version:Zuzanna Szymańska, Maciej Zylicz. Mathematical modeling of heat shock protein synthesis in response to temperature change. Journal of Theoretical Biology, Elsevier, 2009, 259 (3) This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting galley proof before it is published in its final citable form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. A c c e p t e d m a n u s c r i p t AbstractOne 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 [9]. In this paper we propose a mathematical model of heat shock protein (HSP) 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 minutes). 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.

show abstract

Section: The Mathematical Modelmentioning

confidence: 99%

Section: Modelling the Impact Of Different Temperature Regimesmentioning

confidence: 99%

“…where T is the temperature in C o [11]. We assume that F(T) function is proportional to the value of V den .…”

Section: Modelling the Impact Of Different Temperature Regimesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

Szymańska

Żylicz

2009

Journal of Theoretical Biology

View full text Add to dashboard Cite

show abstract

“…The oxidative stress and the heat-shock response (HSR) pathways have already been applied to the liver [22,23], but to our knowledge, this is not yet the case for other stress pathways. As we will discuss below in more detail, general models or models for different cell types or organs can be repurposed for liver cells.…”

Section: Stress and Death Pathwaysmentioning

confidence: 99%

Unraveling cellular pathways contributing to drug-induced liver injury by dynamical modeling

Kuijper

Yang

Water

et al. 2016

Expert Opinion on Drug Metabolism & Toxicology

View full text Add to dashboard Cite

Introduction: Drug-induced liver injury (DILI) is a significant threat to human health and a major problem in drug development. It is hard to predict due to its idiosyncratic nature and which does not show up in animal trials. Hepatic adaptive stress response pathway activation is generally observed in drug-induced liver injury. Dynamical pathway modeling has the potential to foresee adverse effects of drugs before they go in trial. Ordinary differential equation modeling can offer mechanistic insight, and allows us to study the dynamical behavior of stress pathways involved in DILI. Areas covered: This review provides an overview on the progress of the dynamical modeling of stress and death pathways pertinent to DILI, i.e. pathways relevant for oxidative stress, inflammatory stress, DNA damage, unfolded proteins, heat shock and apoptosis. We also discuss the required steps for applying such modeling to the liver. Expert opinion: Despite the strong progress made since the turn of the century, models of stress pathways have only rarely been specifically applied to describe pathway dynamics for DILI. We argue that with minor changes, in some cases only to parameter values, many of these models can be repurposed for application in DILI research. Combining both dynamical models with in vitro testing might offer novel screening methods for the harmful side-effects of drugs. ARTICLE HISTORY

show abstract

Computational Methods for Quantitative Submodel Comparison

Mizera

Czeizler

Petre

2012

Biomolecular Information Processing

View full text Add to dashboard Cite

Comparing alternative models for a given biochemical system is in general a very difficult problem: the models may focus on different aspects of the same system and may consist of very different species and reactions. The numerical setups of the models also play a crucial role in the quantitative comparison. When the alternative designs are submodels of a reference model, e.g. knockdown mutants of a model, the problem of comparing them becomes simpler: they all have very similar, although not identical, underlying reaction networks, and the biological constraints are given by the ones in the reference model. In the first part of our study we review several known methods for model decomposition and for quantitative comparison of submodels. In the second part of the paper, we consider as a case study the eukaryotic heat shock response, an evolutionary well conserved defence mechanism against the accumulation of misfolded proteins.Keywords: Model comparison; model decomposition; computational knockdown analysis; control-based decomposition; quantitative model refinement; heat shock response.

show abstract

A mathematical model of the hsp70 regulation in the cell

Cited by 60 publications

References 64 publications

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

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

Unraveling cellular pathways contributing to drug-induced liver injury by dynamical modeling

Computational Methods for Quantitative Submodel Comparison

Contact Info

Product

Resources

About