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We consider stochastically modeled chemical reaction systems with mass-action kinetics and prove that a product-form stationary distribution exists for each closed, irreducible subset of the state space if an analogous deterministically modeled system with mass-action kinetics admits a complex balanced equilibrium.
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Eduardo D. Sontag, Structure and stability of certain chemical networks and applications to the kinetic proofreading of t-cell receptor signal transduction , IEEE Trans. Auto. Cont. 46
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David F. Anderson and Gheorghe Craciun, Reduced reaction networks and persistence of chemical systems , in preparation
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