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Solving stochastic gene-expression models using queueing theory: A tutorial review

delete2024-05-01
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J
Juraj Szavits-Nossan
R
Ramon Grima *
DOI:10.1016/j.bpj.2024.04.004delete
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摘要

摘要

En 中文
Stochastic models of gene expression are typically formulated using the chemical master equation, which can be solved exactly or approximately using a repertoire of analytical methods. Here, we provide a tutorial review of an alternative approach based on queueing theory that has rarely been used in the literature of gene expression. We discuss the interpretation of six types of infinite-server queues from the angle of stochastic single-cell biology and provide analytical expressions for the stationary and nonstationary distributions and/or moments of mRNA/protein numbers and bounds on the Fano factor. This approach may enable the solution of complex models that have hitherto evaded analytical solution.
Keyword:
INFINITE-SERVER QUEUES
DISTRIBUTIONS
PROMOTER
NOISE
TIME
CONSEQUENCES
FLUCTUATIONS
MECHANISMS
INITIATION
DYNAMICS
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期刊

Biophysical Journal 封面图
Biophysical Journal
IF:
3.1
论文数:
5.0W
被引数:
4.4W

机构

U
University of Edinburgh
学者数:
5.2W
论文数: 4.6W
被引数: 71
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