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

0443354 - MÚ 2016 RIV US eng J - Journal Article
Duncan, A. - Liao, S. - Vejchodský, Tomáš - Erban, R. - Grima, R.
Noise-induced multistability in chemical systems: Discrete versus continuum modeling.
Physical Review E. Roč. 91, č. 4 (2015), s. 042111. ISSN 1539-3755
EU Projects: European Commission(XE) 328008 - STOCHDETBIOMODEL
Institutional support: RVO:67985840
Keywords : chemical master equation * chemical Fokker-Planck equation * multimodality
Subject RIV: BA - General Mathematics
Impact factor: 2.288, year: 2014
http://journals.aps.org/pre/abstract/10.1103/PhysRevE.91.042111

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.
Permanent Link: http://hdl.handle.net/11104/0246088