Noise-induced multistability in chemical systems: discrete versus continuum modeling

Duncan, Andrew, Liao, Shuohao, Vejchodský, Tomáš, Erban, Radek and Grima, Ramon (2015) Noise-induced multistability in chemical systems: discrete versus continuum modeling. Physical Review E, 91 (4). 042111. ISSN 1539-3755

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Abstract

The noisy dynamics of chemical systems is commonly studied using either the chemical master equation (CME) or the chemical Fokker-Planck equation (CFPE). The latter is a continuum approximation of the discrete CME approach. It has recently been shown that for a particular system, the CFPE captures noise-induced multistability predicted by the CME. This phenomenon involves the CME’s marginal probability distribution changing from unimodal to multimodal as the system size decreases below a critical value.We here show that the CFPE does not always capture noise-induced multistability. In particular we find simple chemical systems for which the CME predicts noise-induced multistability, whereas the CFPE predicts monostability for all system sizes.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Research Centres and Groups: Probability and Statistics Research Group
Subjects: Q Science > QA Mathematics
Depositing User: Billy Wichaidit
Date Deposited: 15 Jun 2017 09:02
Last Modified: 15 Jun 2017 09:08
URI: http://sro.sussex.ac.uk/id/eprint/68602

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