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- W4321593354 abstract "Stochastic chemical processes are described by the chemical master equation satisfying the law of mass-action. We first ask whether the dual master equation, which has the same steady state as the chemical master equation, but with inverted reaction currents, satisfies the law of mass-action, namely, still describes a chemical process. We prove that the answer depends on the topological property of the underlying chemical reaction network known as deficiency. The answer is yes only for deficiency-zero networks. It is no for all other networks, implying that their steady-state currents cannot be inverted by controlling the kinetic constants of the reactions. Hence, the network deficiency imposes a form of non-invertibility to the chemical dynamics. We then ask whether catalytic chemical networks are deficiency-zero. We prove that the answer is no when they are driven out of equilibrium due to the exchange of some species with the environment." @default.
- W4321593354 created "2023-02-24" @default.
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- W4321593354 date "2023-02-21" @default.
- W4321593354 modified "2023-09-26" @default.
- W4321593354 title "Deficiency, Kinetic Invertibility, and Catalysis in Stochastic Chemical Reaction Networks" @default.
- W4321593354 doi "https://doi.org/10.48550/arxiv.2302.10516" @default.
- W4321593354 hasPublicationYear "2023" @default.
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