ArticlePhysical review. E, Statistical, nonlinear, and soft matter physics2012
How input fluctuations reshape the dynamics of a biological switching system.
Article in Physical review. E, Statistical, nonlinear, and soft matter physics, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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Who cites it
4 citing papers in PubMed.
- Interpretable and tractable models of transcriptional noise for the rational design of single-molecule quantification experiments.Nature communications · 2022Article
- How input noise limits biochemical sensing in ultrasensitive systems.Physical review. E, Statistical, nonlinear, and soft matter physics · 2014Article
- Noise and information transmission in promoters with multiple internal States.Biophysical journal · 2014Article
- Coordinated switching of bacterial flagellar motors: evidence for direct motor-motor coupling?Physical review letters · 2013Article
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Authors and funding
4 authors.
Funding
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 non-negative 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 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.
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