The Annals of Applied Probability
- Ann. Appl. Probab.
- Volume 24, Number 3 (2014), 1226-1268.
Stochastically-induced bistability in chemical reaction systems
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.
Ann. Appl. Probab., Volume 24, Number 3 (2014), 1226-1268.
First available in Project Euclid: 23 April 2014
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Zentralblatt MATH identifier
Primary: 60J27: Continuous-time Markov processes on discrete state spaces 60J28: Applications of continuous-time Markov processes on discrete state spaces 60J60: Diffusion processes [See also 58J65] 60F10: Large deviations 60F17: Functional limit theorems; invariance principles 92C45: Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) [See also 80A30] 92C37: Cell biology 80A30: Chemical kinetics [See also 76V05, 92C45, 92E20]
McSweeney, John K.; Popovic, Lea. Stochastically-induced bistability in chemical reaction systems. Ann. Appl. Probab. 24 (2014), no. 3, 1226--1268. doi:10.1214/13-AAP946. https://projecteuclid.org/euclid.aoap/1398258100