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arXiv · 1302.1446

Stochastically-induced bistability in chemical reaction systems

John K. McSweeney·Lea Popovic
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Abstract

We study a stochastic two-species chemical reaction system with two mechanisms. One mechanism consists of chemical interactions which govern the overall drift of species amounts in the system; the other mechanism consists of resampling, branching or splitting which makes unbiased perturbative changes to species amounts. Our results show that in a system with a large but bounded capacity, certain combinations of these two types of interactions can lead to stochastically-induced bistability. Depending on the relative magnitudes of the rates of these two sets of interactions, bistability can occur in two distinct ways with different dynamical signatures.

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BibTeXRIS

John K. McSweeney, Lea Popovic. 2013-02-06. Stochastically-induced bistability in chemical reaction systems. https://doi.org/10.1214/13-aap946

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