Stochastically-induced bistability in chemical reaction systems
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.
Keywords
Cite
@article{arxiv.1302.1446,
title = {Stochastically-induced bistability in chemical reaction systems},
author = {John K. McSweeney and Lea Popovic},
journal= {arXiv preprint arXiv:1302.1446},
year = {2014}
}
Comments
Published in at http://dx.doi.org/10.1214/13-AAP946 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)