ArticleScientific reports2016
The Switch in a Genetic Toggle System with Lévy Noise.
Article in Scientific reports, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.
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Who cites it
9 citing papers in PubMed.
- Bistability in type I toxin-antitoxin systems may lead to stress-induced persister formation.NPJ systems biology and applications · 2025Article
- Article
- A stochastic model of homeostasis: The roles of noise and nuclear positioning in deciding cell fate.iScience · 2021Article
- The switch of DNA states filtering the extrinsic noise in the system of frequency modulation.Scientific reports · 2021Article
- Spontaneous Activity Induced by Gaussian Noise in the Network-Organized FitzHugh-Nagumo Model.Neural plasticity · 2020Article
- Towards control of cellular decision-making networks in the epithelial-to-mesenchymal transition.Physical biology · 2019Review
- Thermodynamics of Superdiffusion Generated by Lévy-Wiener Fluctuating Forces.Entropy (Basel, Switzerland) · 2018Article
- Inhibitors Alter the Stochasticity of Regulatory Proteins to Force Cells to Switch to the Other State in the Bistable System.Scientific reports · 2017Article
- Lévy noise improves the electrical activity in a neuron under electromagnetic radiation.PloS one · 2017Article
Corrections and comments
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Authors and funding
5 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
A bistable toggle switch is a paradigmatic model in the field of biology. The dynamics of the system induced by Gaussian noise has been intensively investigated, but Gaussian noise cannot incorporate large bursts typically occurring in real experiments. This paper aims to examine effects of variations from one protein imposed by a non-Gaussian Lévy noise, which is able to describe even large jumps, on the coherent switch and the on/off switch via the steady-state probability density, the joint steady-state probability density, and the mean first passage time. We find 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. The influences of the stability index, skewness parameter and noise intensity on the on/off switch are analyzed, leading to an adjustment of the concentrations of both proteins and a decision which stable point to stay most. The mean first passage times show complex effects under Lévy noise, especially the stability index and skewness parameter. Our results also imply that the presence of non-Gaussian Lévy noises has fundamentally changed the escape mechanism in such a system compared with Gaussian noise.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.