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Noise-induced multistability in chemical systems: discrete versus continuum modeling
journal contribution
posted on 2023-06-09, 06:42 authored by Andrew Duncan, Shuohao Liao, Tomáš Vejchodský, Radek Erban, Ramon GrimaThe 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.
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Publication status
- Published
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- Published version
Journal
Physical Review EISSN
1539-3755Publisher
American Physical SocietyExternal DOI
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4Volume
91Page range
042111Department affiliated with
- Mathematics Publications
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- Probability and Statistics Research Group Publications
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- Yes
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2017-06-15First Open Access (FOA) Date
2017-06-15First Compliant Deposit (FCD) Date
2017-06-15Usage metrics
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