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math-ph2011
Homeostasis in Chemical Reaction Pathways
V. A. Malyshev, A. D. Manita, A. A. Zamyatin
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 i…
math-ph2011
Processes with a Local Deterministic Interaction: Invariant Bernoulli Measures
V. A. Malyshev, A. A. Zamyatin
A general class of Markov processes with a local interaction is introduced, which includes exclusion and Kawasaki processes as a very particular case. Bernoulli invariant measures…