title: Noise-induced multistability in chemical systems: Discrete versus continuum modeling.
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.
authors.affiliation: Mathematical Institute, University of Oxford, Radcliffe Observatory Quarter, Woodstock Road, Oxford, OX2 6GG, United Kingdom.
authors.forename: Andrew
authors.initials: A
authors.lastname: Duncan
authors.affiliation: Mathematical Institute, University of Oxford, Radcliffe Observatory Quarter, Woodstock Road, Oxford, OX2 6GG, United Kingdom.
authors.forename: Shuohao
authors.initials: S
authors.lastname: Liao
authors.affiliation: Mathematical Institute, University of Oxford, Radcliffe Observatory Quarter, Woodstock Road, Oxford, OX2 6GG, United Kingdom.|Institute of Mathematics, Czech Academy of Sciences, Žitná 25, CZ-115 67, Czech Republic.
authors.forename: Tomáš
authors.initials: T
authors.lastname: Vejchodský
authors.affiliation: Mathematical Institute, University of Oxford, Radcliffe Observatory Quarter, Woodstock Road, Oxford, OX2 6GG, United Kingdom.
authors.forename: Radek
authors.initials: R
authors.lastname: Erban
authors.affiliation: School of Biological Sciences, Kings Buildings, Mayfield Road, University of Edinburgh, EH9 3JF, United Kingdom.
authors.forename: Ramon
authors.initials: R
authors.lastname: Grima
mesh_terms: D003198:Computer Simulation; D008956:Models, Chemical; D011336:Probability