Noise-induced metastability in biochemical networks

Abstract

Intra-cellular biochemical reactions exhibit a rich dynamical phenomenology which cannot be explained within the framework of mean-field rate equations and additive noise. Here, we show that the presence of metastable states and radically different timescales are general features of a broad class of autocatalyic reaction networks, and moreover, that this fact may be exploited to gain analytical results. The latter point is demonstrated by a treatment of the paradigmatic Togashi-Kaneko reaction, which has resisted theoretical analysis for the last decade.

arXiv comment4 pages, 3 figures

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• Theoretical Analysis of Discreteness-Induced Transition in Autocatalytic Reaction Dynamics
• Zealots in multi-state noisy voter models
• Complete integrability of information processing by biochemical reactions
• Growth-induced breaking and unbreaking of ergodicity in fully-connected spin systems
• Motif Analysis for Small-Number Effects in Chemical Reaction Dynamics
• The statistics of fixation times for systems with recruitment
• Maximum Margin Clustering for State Decomposition of Metastable Systems
• Stochastic pattern formation and spontaneous polarisation: the linear noise approximation and beyond