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

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posted on 2023-06-09, 06:42 authored by Andrew Duncan, Shuohao Liao, Tomáš Vejchodský, Radek Erban, Ramon Grima
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.

History

Publication status

  • Published

File Version

  • Published version

Journal

Physical Review E

ISSN

1539-3755

Publisher

American Physical Society

Issue

4

Volume

91

Page range

042111

Department affiliated with

  • Mathematics Publications

Research groups affiliated with

  • Probability and Statistics Research Group Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2017-06-15

First Open Access (FOA) Date

2017-06-15

First Compliant Deposit (FCD) Date

2017-06-15

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