351. Deficiency, kinetic invertibility, and catalysis in stochastic chemical reaction networks.
- Author
-
Marehalli Srinivas, Shesha Gopal, Polettini, Matteo, Esposito, Massimiliano, and Avanzini, Francesco
- Subjects
- *
CHEMICAL reactions , *CHEMICAL processes , *CHEMICAL equations , *KINETIC control , *CHEMICAL properties - 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 and, hence, 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. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF