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Teoriya Veroyatnostei i ee Primeneniya, 2006, Volume 51, Issue 4, Pages 793–801
DOI: https://doi.org/10.4213/tvp27 (Mi tvp27) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Short Communications

Homeostasis in chemical reaction pathways

A. A. Zamyatin, V. A. Malyshev, A. D. Manita

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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DOI: https://doi.org/10.4213/tvp27
Abstract: We consider stochastic models of chemical reaction networks with time-dependent input rates and several types of molecules. We prove that, in spite 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).
Keywords: stochastic models of biological systems, almost periodic input rates, stochastic networks, thermodynamic limit.
Received: 21.12.2005
English version:
Theory of Probability and its Applications, 2007, Volume 51, Issue 4, Pages 714–723
DOI: https://doi.org/10.1137/S0040585X97982736
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Zamyatin, V. A. Malyshev, A. D. Manita, “Homeostasis in chemical reaction pathways”, Teor. Veroyatnost. i Primenen., 51:4 (2006), 793–801; Theory Probab. Appl., 51:4 (2007), 714–723
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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