How input fluctuations reshape the dynamics of a biological switching system
Abstract
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.
Keywords
Cite
@article{arxiv.1210.4616,
title = {How input fluctuations reshape the dynamics of a biological switching system},
author = {Bo Hu and David A. Kessler and Wouter-Jan Rappel and Herbert Levine},
journal= {arXiv preprint arXiv:1210.4616},
year = {2015}
}
Comments
7 pages, 4 figures, submitted to Physical Review E