%0 Journal Article
%T How input fluctuations reshape the dynamics of a biological switching system
%A Bo Hu
%A David A. Kessler
%A Wouter-Jan Rappel
%A Herbert Levine
%J Quantitative Biology
%D 2012
%I arXiv
%R 10.1103/PhysRevE.86.061910
%X An important task in quantitative biology is to understand the role of stochasticity in biochemical regulation. Here, as an extension of our recent work [Phys. Rev. Lett. 107, 148101 (2011)], we study how input fluctuations affect the stochastic dynamics of a simple biological switch. In our model, the on transition rate of the switch is directly regulated by a noisy input signal, which is described as a nonnegative mean-reverting diffusion process. This continuous process can be a good approximation of the discrete birth-death process and is much more analytically tractable. Within this new setup, we apply the Feynman-Kac theorem to investigate the statistical features of the output switching dynamics. Consistent with our previous findings, the input noise is found to effectively suppress the input-dependent transitions. We show analytically that this effect becomes significant when the input signal fluctuates greatly in amplitude and reverts slowly to its mean.
%U http://arxiv.org/abs/1210.4616v1