The transition between stochastic and deterministic behavior in an excitable gene circuit

Details The transition between stochastic and deterministic behavior in an excitable gene circuit The transition between stochastic and deterministic behavior in an excitable gene circuit

2011-05-23

arxiv.org/abs/1105.4599v2

Biology

Quantitative Biology

Molecular Networks

PLoS ONE: Research Article, published 11 Apr 2012

Scientific paper

10.1371/journal.pone.0034536

We explore the connection between a stochastic simulation model and an ordinary differential equations (ODEs) model of the dynamics of an excitable gene circuit that exhibits noise-induced oscillations. Near a bifurcation point in the ODE model, the stochastic simulation model yields behavior dramatically different from that predicted by the ODE model. We analyze how that behavior depends on the gene copy number and find very slow convergence to the large number limit near the bifurcation point. The implications for understanding the dynamics of gene circuits and other birth-death dynamical systems with small numbers of constituents are discussed.

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