Noise-induced multistability in chemical systems: Discrete vs Continuum modeling
Quantitative Methods
2015-06-22 v1 Subcellular Processes
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. We here show that the CFPE may fail to capture the CME's prediction of noise-induced multistability. In particular we find a simple chemical system for which the CME's marginal probability distribution changes from unimodal to multimodal as the system-size decreases below a critical value, while the CFPE's marginal probability distribution is unimodal for all physically meaningful system sizes.
Cite
@article{arxiv.1407.8256,
title = {Noise-induced multistability in chemical systems: Discrete vs Continuum modeling},
author = {Andrew Duncan and Shuohao Liao and Tomas Vejchodsky and Radek Erban and Ramon Grima},
journal= {arXiv preprint arXiv:1407.8256},
year = {2015}
}
Comments
5 pages, 2 figures