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- W4297801251 abstract "In 2010, Anderson, Craciun, and Kurtz showed that if a deterministically modeled reaction network is complex balanced, then the associated stochastic model admits a stationary distribution that is a product of Poissons cite{ACK2010}. That work spurred a number of followup analyses. In 2015, Anderson, Craciun, Gopalkrishnan, and Wiuf considered a particular scaling limit of the stationary distribution detailed in cite{ACK2010}, and proved it is a well known Lyapunov function cite{ACGW2015}. In 2016, Cappelletti and Wiuf showed the converse of the main result in cite{ACK2010}: if a reaction network with stochastic mass action kinetics admits a stationary distribution that is a product of Poissons, then the deterministic model is complex balanced cite{CW2016}. In 2017, Anderson, Koyama, Cappelletti, and Kurtz showed that the mass action models considered in cite{ACK2010} are non-explosive (so the stationary distribution characterizes the limiting behavior). In this paper, we generalize each of the three followup results detailed above to the case when the stochastic model has a particular form of non-mass action kinetics." @default.
- W4297801251 created "2022-10-01" @default.
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- W4297801251 date "2017-12-05" @default.
- W4297801251 modified "2023-10-16" @default.
- W4297801251 title "Results on stochastic reaction networks with non-mass action kinetics" @default.
- W4297801251 doi "https://doi.org/10.48550/arxiv.1712.01716" @default.
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