Homeostasis in Chemical Reaction Pathways

Details Homeostasis in Chemical Reaction Pathways Homeostasis in Chemical Reaction Pathways

2011-12-25

arxiv.org/abs/1112.5770v1

Theory of Probability and its applications, 2006, v. 51, pp. 793-802

Physics

Mathematical Physics

10 pages

Scientific paper

We consider stochastic models of chemical reaction networks with time
dependent input rates and several types of molecules. We prove that, in despite
of strong time dependence of input rates, there is a kind of homeostasis
phenomenon: far away from input nodes the mean numbers of molecules of each
type become approximately constant (do not depend on time).

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