Molecular distributions in gene regulatory dynamics

DOI10.1016/j.jtbi.2011.01.020zbMath1331.92046arXiv1009.5810OpenAlexW1987109029WikidataQ83265176 ScholiaQ83265176MaRDI QIDQ5963480

Marta Tyran-Kamińska, Romain Yvinec, Michael C. Mackey

Publication date: 22 February 2016

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.5810

zbMATH Keywords

stochastic modellingbursting transcriptioninducible/repressible operon

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Biochemistry, molecular biology (92C40)

Related Items (15)

The combined effects of Feller diffusion and transcriptional/translational bursting in simple gene networks ⋮ Asymptotic behavior of a delayed stochastic logistic model with impulsive perturbations ⋮ A model of gene expression based on random dynamical systems reveals modularity properties of gene regulatory networks ⋮ The limiting dynamics of a bistable molecular switch with and without noise ⋮ Stochastic modeling and numerical simulation of gene regulatory networks with protein bursting ⋮ Transcriptional bursting diversifies the behaviour of a toggle switch: hybrid simulation of stochastic gene expression ⋮ Existence of invariant densities for semiflows with jumps ⋮ Application of the Goodwin model to autoregulatory feedback for stochastic gene expression ⋮ Adiabatic reduction of a model of stochastic gene expression with jump Markov process ⋮ Exponential equilibration of genetic circuits using entropy methods ⋮ Existence of a unique invariant measure for a class of equicontinuous Markov operators with application to a stochastic model for an autoregulated gene ⋮ Gene expression noise is affected differentially by feedback in burst frequency and burst size ⋮ Ergodicity and stability of a dynamical system perturbed by impulsive random interventions ⋮ Mathematical model of GAL regulon dynamics in \textit{Saccharomyces cerevisiae} ⋮ Influence of gene copy number on self-regulated gene expression

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