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

Andrew Duncan, Shuohao Liao, Tomáš Vejchodský, Radek Erban, Ramon Grima

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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.

Original languageEnglish
Article number042111
JournalPhysical Review E - Statistical, Nonlinear and Soft Matter Physics
Issue number4
Publication statusPublished - 10 Apr 2015

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