Analytical Time-Dependent Distributions for Gene Expression Models With Complex Promoter Switching Mechanisms

DOI10.1137/22m147219xzbMath1520.92029MaRDI QIDQ6114575

Youming Li, Chen Jia

Publication date: 14 August 2023

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

zbMATH Keywords

burstingtransient distributionmolecular memorymultiscale simplification

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Biochemistry, molecular biology (92C40)

Related Items (1)

Large deviations for the empirical measure and empirical flow of Markov renewal processes with a countable state space

Cites Work

• Exact and approximate distributions of protein and mRNA levels in the low-copy regime of gene expression
• Multiscale stochastic modelling of gene expression
• Multiple-scale stochastic processes: decimation, averaging and beyond
• Functions of a matrix and Krylov matrices
• On algebraic identities between generalized hypergeometric functions
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• Multimodality and flexibility of stochastic gene expression
• A multiple time interval finite state projection algorithm for the solution to the chemical master equation
• Reduction of Markov chains with two-time-scale state transitions
• Analytical Results for a Multistate Gene Model
• Approximation and inference methods for stochastic biochemical kinetics—a tutorial review
• Distribution Modes and Their Corresponding Parameter Regions in Stochastic Gene Transcription
• Kinetic Foundation of the Zero-Inflated Negative Binomial Model for Single-Cell RNA Sequencing Data
• Stochastic Gene Expression with a Multistate Promoter: Breaking Down Exact Distributions

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