Distribution Modes and Their Corresponding Parameter Regions in Stochastic Gene Transcription

DOI10.1137/151005567zbMath1368.92054OpenAlexW2183803433MaRDI QIDQ3452589

Feng Jiao, Bo Zheng, Moxun Tang, Qiwen Sun, Jian She Yu

Publication date: 13 November 2015

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/151005567

zbMATH Keywords

master equationprobability mass functionstochastic gene transcriptiondistribution modes

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) Biochemistry, molecular biology (92C40) Generation, random and stochastic difference and differential equations (37H10)

Related Items (6)

Fluctuations of mRNA distributions in multiple pathway activated transcription ⋮ Analytical Time-Dependent Distributions for Gene Expression Models With Complex Promoter Switching Mechanisms ⋮ The mean and noise of stochastic gene transcription with cell division ⋮ 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

Cites Work

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• The mean and noise of stochastic gene transcription
• Markovian modelling of gene product synthesis
• Distribution profiles and their dynamic transition in stochastic gene transcription
• The nonlinear dynamics and fluctuations of mRNA levels in cross-talking pathway activated transcription
• Using Gene Expression Noise to Understand Gene Regulation
• Birth and death processes with random environments in continuous time

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