The limiting dynamics of a bistable molecular switch with and without noise
type: Item
instance of: scholarly article
title: The limiting dynamics of a bistable molecular switch with and without noise
zbMATH Open document ID: 1366.34067
author: M. C. Mackey
author: M. Tyran-Kamińska
published in: Journal of Mathematical Biology
publication date: 2016-08-23T00:00:00Z
full work available at URL: https://arxiv.org/abs/1512.00695
review text: The authors consider the dynamics of a population of organisms containing two mutually inhibitory gene regulatory networks. The local and global dynamics in the absence of any noise is characterized. The effects of either noise coming from bursting or Gaussian noise in molecular degradation rates are considered. It is shown how the steady state distribution in the population can range from a single unimodal distribution through a bimodal distribution. It is also shown that the switch model with bursting but two dominant slow genes has an asymptotically stable stationary density.
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 60J25
Mathematics Subject Classification ID: 92C40
zbMATH DE Number: 6618978
zbMATH Keywords: stochastic modelling
zbMATH Keywords: bistable switch
zbMATH Keywords: mutual repression
reviewed by: Alexandra Rodkina
MaRDI profile type: Publication
OpenAlex ID: W2184213955
Wikidata QID: Q50750676
arXiv ID: 1512.00695
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DOI: 10.1007/S00285-015-0949-1
description: scientific article; zbMATH DE number 6618978