Lévy noise induced switch in the gene transcriptional regulatory system.

  title={L{\'e}vy noise induced switch in the gene transcriptional regulatory system.},
  author={Yong Xu and Jing Feng and Juanjuan Li and Huiqing Zhang},
  volume={23 1},
The study of random fluctuations in a gene transcriptional regulatory system is extended to the case of non-Gaussian Lévy noise, which can describe unpredictable jump changes of the random environment. The stationary probability densities are given to explore the key roles of Lévy noise in a gene transcriptional regulatory system. The results demonstrate that the parameters of Lévy noise, including noise intensity, stability index, and skewness parameter, can induce switches between distinct… 

Figures from this paper

Multiplicative Lévy noise-induced transitions in gene expression

Gene expression is intrinsically noisy. Experimental studies have shown that random fluctuations are large bursts and heavy-tailed distributions. Therefore, this study aims to consider transition

Transitions in a genetic transcriptional regulatory system under Lévy motion

A new geometric concept is introduced to quantify the basin stability of the low concentration region, characterised by the escaping behaviour, because a weaker stability indicates a higher transition probability.

Transition events in a genetic regulatory system under asymmetric stable L\'evy noise

We investigate the dynamical effects of non-Gaussian asymmetric stable Lévy noisy fluctuations on the evolution of the transcription factor activator in the kinetic concentration model of a single

The Switch in a Genetic Toggle System with Lévy Noise

It is found that a large burst of one protein due to the Lévy noises can induce coherent switches even with small noise intensities in contrast to the Gaussian case which requires large intensities for this.

Likelihood for transcriptions in a genetic regulatory system under asymmetric stable Lévy noise.

This work has conducted a series of numerical experiments in "regulating" the likelihood of gene transcription by tuning asymmetric stable Lévy noise indexes, and offers insights for possible ways of achieving gene regulation in experimental research.

Correlated noise-based switches and stochastic resonance in a bistable genetic regulation system

Abstract The correlated noise-based switches and stochastic resonance are investigated in a bistable single gene switching system driven by an additive noise (environmental fluctuations), a



Fluctuations-induced switch in the gene transcriptional regulatory system.

  • Quan LiuY. Jia
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2004
It is found that, under large cross-correlation intensity, a successive switch process occurs with an increase of noise intensities, and a critical noise intensity exists at which the MFPT of the switch process is the largest.

Fluctuations in gene regulatory networks as Gaussian colored noise.

It is found that the finite correlation time of noise reduces the fluctuations and enhances the correlation between the fluctuations of the molecular components.

Noise-based switches and amplifiers for gene expression.

A model describing the regulation of gene expression and the effects of noise are developed and it is suggested that an external noise source could be used as a switch and/or amplifier for gene expression.

Determining the stability of genetic switches: explicitly accounting for mRNA noise.

Employing the WKB theory to treat the underlying chemical master equations, accurate results are obtained for the quasistationary distributions of mRNA and protein copy numbers and for the mean switching time, starting from either state.

Frequency selectivity, multistability, and oscillations emerge from models of genetic regulatory systems.

The computational approach illustrated here, combined with appropriate experiments, provides a conceptual framework for investigating the function of genetic regulatory systems and plausible explanation for optimal stimulus frequencies that give maximal transcription.

Self-consistent proteomic field theory of stochastic gene switches.

A self-consistent field approximation approach to the problem of the genetic switch composed of two mutually repressing/activating genes is presented and a broad range of stochastic genetic switches may be solved exactly in terms of finding the probability distribution and its moments.

Stochastic model for tumor growth with immunization.

  • Thomas BoseS. Trimper
  • Computer Science
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2009
A stochastic model for tumor cell growth with both multiplicative and additive colored noises as well as nonzero cross correlations in between and the behavior observed can be interpreted in terms of a biological model of tumor evolution.

The fractional‐order governing equation of Lévy Motion

A governing equation of stable random walks is developed in one dimension. This Fokker‐Planck equation is similar to, and contains as a subset, the second‐order advection dispersion equation (ADE)