Distribution profiles and their dynamic transition in stochastic gene transcription

DOI10.1016/j.jde.2013.01.019zbMath1273.34066OpenAlexW1999776089MaRDI QIDQ1945857

Feng Jiao, Moxun Tang, Jian She Yu

Publication date: 17 April 2013

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2013.01.019

zbMATH Keywords

generating functionsmethod of characteristicsmaster equationbimodal distributiongene transcriptionspectral solutionsprobability mass functionsdistribution profiles

Mathematics Subject Classification ID

Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Protein sequences, DNA sequences (92D20) Ordinary differential equations and systems with randomness (34F05) Generation, random and stochastic difference and differential equations (37H10)

Related Items (9)

Modulation of first-passage time for bursty gene expression via random signals ⋮ Distribution Modes and Their Corresponding Parameter Regions in Stochastic Gene Transcription ⋮ Fluctuations of mRNA distributions in multiple pathway activated transcription ⋮ MONOTONIC DYNAMICS OF MRNA DEGRADATION BY TWO PATHWAYS ⋮ The mean and noise of stochastic gene transcription with cell division ⋮ The dynamics of gene transcription in random environments ⋮ Analytical formula and dynamic profile of mRNA distribution ⋮ Dynamical regulation of mRNA distribution by cross-talking signaling pathways ⋮ A generalized moment-based method for estimating parameters of stochastic gene transcription

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