Jump to main content
Jump to site search

Issue 24, 2009
Previous Article Next Article

Stochastic bifurcation, slow fluctuations, and bistability as an origin of biochemical complexity

Author affiliations

Abstract

We present a simple, unifying theory for stochastic biochemical systems with multiple time-scale dynamics that exhibit noise-induced bistability in an open-chemical environment, while the corresponding macroscopic reaction is unistable. Nonlinear stochastic biochemical systems like these are fundamentally different from classical systems in equilibrium or near-equilibrium steady state whose fluctuations are unimodal following Einstein–Onsager–Lax–Keizer theory. We show that noise-induced bistability in general arises from slow fluctuations, and a pitchfork bifurcation occurs as the rate of fluctuations decreases. Since an equilibrium distribution, due to detailed balance, has to be independent of changes in time-scale, the bifurcation is necessarily a driven phenomenon. As examples, we analyze three biochemical networks of currently interest: self-regulating gene, stochastic binary decision, and phosphorylation-dephosphorylation cycle with fluctuating kinase. The implications of bistability to biochemical complexity are discussed.

Graphical abstract: Stochastic bifurcation, slow fluctuations, and bistability as an origin of biochemical complexity

Back to tab navigation

Publication details

The article was received on 07 Jan 2009, accepted on 26 Feb 2009 and first published on 08 Apr 2009


Article type: Paper
DOI: 10.1039/B900335P
Citation: Phys. Chem. Chem. Phys., 2009,11, 4861-4870

  •   Request permissions

    Stochastic bifurcation, slow fluctuations, and bistability as an origin of biochemical complexity

    H. Qian, P. Shi and J. Xing, Phys. Chem. Chem. Phys., 2009, 11, 4861
    DOI: 10.1039/B900335P

Search articles by author

Spotlight

Advertisements