How input fluctuations reshape the dynamics of a biological switching system.

  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={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={86 6 Pt 1},
  • Bo HuD. Kessler H. Levine
  • Published 17 October 2012
  • Physics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
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… 

Figures from this paper

Different effects of fast and slow input fluctuations on output in gene regulation.

It is found that in contrast to fast input fluctuations, slow input fluctuations can induce different modes of the distribution of downstream output and even stochastic focusing or defocusing of the downstream output level, although the regulatory protein follows the same distribution in both cases.

Mechanisms of How Random Input Controls Bursting Gene Expression

Qualitative results reveal that extracellular random input can prompt the gene to achieve its function quickly under different modulation paradigms.

Interpretable and tractable models of transcriptional noise for the rational design of single-molecule quantification experiments

This work illustrates the importance of theory-guided data collection in general, and multimodal single-molecule data in particular for distinguishing between competing hypotheses, and introduces and motivates a general framework for constructing and solving nontrivial continuous–discrete models.

Quantification of noise in bifunctionality-induced post-translational modification.

We present a generic analytical scheme for the quantification of fluctuations due to bifunctionality-induced signal transduction within the members of a bacterial two-component system. The proposed

Oscillations in probability distributions for stochastic gene expression.

The phenomenon of oscillations in probability distribution functions of number of components is found for a model of stochastic gene expression and the possibility of observation of the phenomenon in gene, protein, and mRNA expression experiments is discussed.

Coordinated switching of bacterial flagellar motors: evidence for direct motor-motor coupling?

Simple models for both mechanisms to coordinate the switching of bacterial motors are developed and it is suggested that the direct coupling mechanism may be accountable for the observed sharp correlation between motors in a single Escherichia coli.

Stochastic processes in physics and chemistry

Preface to the first edition. Preface to the second edition. Abbreviated references. I. Stochastic variables. II. Random events. III. Stochastic processes. IV. Markov processes. V. The master

Stochastic differential equations : an introduction with applications

Some Mathematical Preliminaries.- Ito Integrals.- The Ito Formula and the Martingale Representation Theorem.- Stochastic Differential Equations.- The Filtering Problem.- Diffusions: Basic

Nature (London) 420

  • 231
  • 2002

Nature 467

  • 167
  • 2010

Proc. Natl. Acad. Sci. USA 105

  • Proc. Natl. Acad. Sci. USA 105
  • 2008

Phys. Rev. Lett

  • Phys. Rev. Lett
  • 2011

Econometrica 53

  • 385
  • 1985

J. Theor. Biol

  • J. Theor. Biol
  • 2004