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

2010 ◽  
Vol 10 (1) ◽  
pp. 595-612 ◽  
Author(s):  
Ion Petre ◽  
Andrzej Mizera ◽  
Claire L. Hyder ◽  
Annika Meinander ◽  
Andrey Mikhailov ◽  
...  
Keyword(s):  
Heat Shock ◽  
Heat Shock Response ◽  
Mass Action ◽  
Mass Action Model ◽  
Shock Response ◽  
Action Model ◽  
Simple Mass

Modelling and Experimental Studies of Sorption in the Near Field of a Cementitious Repository

1989 ◽  
Vol 176 ◽  
Author(s):  
P.L. Brown ◽  
A. Haworth ◽  
R. McCrohon ◽  
S.M. Sharland ◽  
C.J. Tweed
Keyword(s):  
Near Field ◽  
Experimental Studies ◽  
Mass Action ◽  
Chemical Equilibria ◽  
Transport Code ◽  
Mass Action Model ◽  
Action Model ◽  
Modelling Studies ◽  
Simple Mass

ABSTRACTA joint experimental and modelling programme is reported, which aims to improve our understanding of sorption processes of radionuclides onto repository materials. Diffusion/sorption experiments of sorption onto cement are described, although results are limited at this stage. The modelling studies use the coupled chemical equilibria and transport code CHEQMATE to simulate some of these experiments. The chemical part of the model is based on a simple mass-action model of sorption. More detailed comparisons will continue when the experiments are terminated, and the samples are sectioned.

scholarly journals Data-driven dynamical model indicates that the heat shock response in Chlamydomonas reinhardtii is tailored to handle natural temperature variation

2018 ◽  
Vol 15 (142) ◽  
pp. 20170965 ◽  
Author(s):  
Stefano Magni ◽  
Antonella Succurro ◽  
Alexander Skupin ◽  
Oliver Ebenhöh
Keyword(s):  
Mathematical Model ◽  
Heat Shock ◽  
Chlamydomonas Reinhardtii ◽  
Heat Shock Response ◽  
Mass Action ◽  
Data Driven ◽  
Dynamical Model ◽  
Misfolded Proteins ◽  
Mass Action Kinetics ◽  
Shock Response

Global warming exposes plants to severe heat stress, with consequent crop yield reduction. Organisms exposed to high temperature stresses typically protect themselves with a heat shock response (HSR), where accumulation of unfolded proteins initiates the synthesis of heat shock proteins through the heat shock transcription factor HSF1. While the molecular mechanisms are qualitatively well characterized, our quantitative understanding of the underlying dynamics is still very limited. Here, we study the dynamics of HSR in the photosynthetic model organism Chlamydomonas reinhardtii with a data-driven mathematical model of HSR. We based our dynamical model mostly on mass action kinetics, with a few nonlinear terms. The model was parametrized and validated by several independent datasets obtained from the literature. We demonstrate that HSR quantitatively and significantly differs if an increase in temperature of the same magnitude occurs abruptly, as often applied under laboratory conditions, or gradually, which would rather be expected under natural conditions. In contrast to rapid temperature increases, under gradual changes only negligible amounts of misfolded proteins accumulate, indicating that the HSR of C. reinhardtii efficiently avoids the accumulation of misfolded proteins under conditions most likely to prevail in nature. The mathematical model we developed is a flexible tool to simulate the HSR to different conditions and complements the current experimental approaches.

The kinetics of conjugative plasmid transmission: Fit of a simple mass action model

Plasmid ◽  
1979 ◽  
Vol 2 (2) ◽  
pp. 247-260 ◽  
Author(s):  
Bruce R. Levin ◽  
Frank M. Stewart ◽  
Virginia A. Rice
Keyword(s):  
Mass Action ◽  
Conjugative Plasmid ◽  
Mass Action Model ◽  
Action Model ◽  
Simple Mass ◽  
Kinetics Of

scholarly journals Dynamical modelling of the heat shock response inChlamydomonas reinhardtii

2016 ◽  
Author(s):  
Stefano Magni ◽  
Antonella Succurro ◽  
Alexander Skupin ◽  
Oliver Ebenhöh
Keyword(s):  
Steady State ◽  
Heat Shock ◽  
Heat Shock Response ◽  
Model Organism ◽  
Mass Action ◽  
Large Temperature ◽  
System Response ◽  
Yield Reduction ◽  
Mass Action Kinetics ◽  
Shock Response

AbstractGlobal warming is exposing plants to more frequent heat stress, with consequent crop yield reduction. Organisms exposed to large temperature increases protect themselves typically with a heat shock response (HSR). To study the HSR in photosynthetic organisms we present here a data driven mathematical model describing the dynamics of the HSR in the model organismChlamydomonas reinhartii. Temperature variations are sensed by the accumulation of unfolded proteins, which activates the synthesis of heat shock proteins (HSP) mediated by the heat shock transcription factor HSF1. Our dynamical model employs a system of ordinary differential equations mostly based on mass-action kinetics to study the time evolution of the involved species. The signalling network is inferred from data in the literature, and the multiple experimental data-sets available are used to calibrate the model, which allows to reproduce their qualitative behaviour. With this model we show the ability of the system to adapt to temperatures higher than usual during heat shocks longer than three hours by shifting to a new steady state. We study how the steady state concentrations depend on the temperature at which the steady state is reached. We systematically investigate how the accumulation of HSPs depends on the combination of temperature and duration of the heat shock. We finally investigate the system response to a smooth variation in temperature simulating a hot day.

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