Random dynamics of gene transcription activation in single cells
type: Item
instance of: scholarly article
title: Random dynamics of gene transcription activation in single cells
zbMATH Open document ID: 1180.92025
author: P. Felmer
author: Alexander Quaas
author: Moxun Tang
author: Jianshe Yu
published in: Journal of Differential Equations
publication date: 2009-09-28T00:00:00Z
review text: The authors continue to study the qualitative behavior of the master equation for the probabilities \(P_{n,x}(t)\) that a biologically relevant cell system is at the state \(x\) the \(n\)-th time at time \(t\) (quantifying the timing and strength of gene transcription by \(P\) with \(3\) functional states \(x\)). This system describes the gene transcription activity at single cell resolution. The related random transition model was originally suggested by \textit{M. Tang} [The mean and noise of stochastic gene transcription. J. Theor. Biol. 253, 271--280 (2008)]. For their analysis, the study of the properties of the related master operator \(L\) that transforms the probabilities \(P_{n,x}(t)\) into \(P_{n+1,x}(t)\) (e.g., its mollifying property) turns out to be crucial.
reviewed by: Henri Schurz
Mathematics Subject Classification ID: 92C40
Mathematics Subject Classification ID: 92C37
Mathematics Subject Classification ID: 60J20
Mathematics Subject Classification ID: 34F05
Mathematics Subject Classification ID: 60J10
zbMATH DE Number: 5608028
zbMATH Keywords: single cell resolution
zbMATH Keywords: master equation
zbMATH Keywords: master operator
zbMATH Keywords: mollification property
zbMATH Keywords: differentiability
zbMATH Keywords: P-type functions
MaRDI profile type: Publication
full work available at URL: j.jde.2009.06.006
OpenAlex ID: W1976391125
cites work: Applied Semi-Markov Processes
cites work: Q5646191
cites work: The mean and noise of stochastic gene transcription
cites work: The mean frequency of transcriptional bursting and its variation in single cells
DOI: 10.1016/J.JDE.2009.06.006
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description: scientific article; zbMATH DE number 5608028