Geodesic
Homeostasis in chemical reaction pathways
Teoriâ veroâtnostej i ee primeneniâ, Tome 51 (2006) no. 4, pp. 793-801

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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. 
@article{TVP_2006_51_4_a9,
     author = {A. A. Zamyatin and V. A. Malyshev and A. D. Manita},
     title = {Homeostasis in chemical reaction pathways},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {793--801},
     publisher = {mathdoc},
     volume = {51},
     number = {4},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2006_51_4_a9/}
}
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A. A. Zamyatin; V. A. Malyshev; A. D. Manita. Homeostasis in chemical reaction pathways. Teoriâ veroâtnostej i ee primeneniâ, Tome 51 (2006) no. 4, pp. 793-801. http://geodesic.mathdoc.fr/item/TVP_2006_51_4_a9/