Statistics of Nascent and Mature RNA Fluctuations in a Stochastic Model of Transcriptional Initiation, Elongation, Pausing, and Termination

被引：0
作者：
Tatiana Filatova
Nikola Popovic
Ramon Grima
机构：
[1] The University of Edinburgh,School of Biological Sciences
[2] The University of Edinburgh,School of Mathematics and Maxwell Institute for Mathematical Sciences
来源：
Bulletin of Mathematical Biology | 2021年 / 83卷
关键词：
Stochastic gene expression; Master equation; RNA fluctuations; Singular perturbation theory; Distributions of RNA molecules; Stochastic simulations;
D O I：
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摘要：
Recent advances in fluorescence microscopy have made it possible to measure the fluctuations of nascent (actively transcribed) RNA. These closely reflect transcription kinetics, as opposed to conventional measurements of mature (cellular) RNA, whose kinetics is affected by additional processes downstream of transcription. Here, we formulate a stochastic model which describes promoter switching, initiation, elongation, premature detachment, pausing, and termination while being analytically tractable. We derive exact closed-form expressions for the mean and variance of nascent RNA fluctuations on gene segments, as well as of total nascent RNA on a gene. We also obtain exact expressions for the first two moments of mature RNA fluctuations and approximate distributions for total numbers of nascent and mature RNA. Our results, which are verified by stochastic simulation, uncover the explicit dependence of the statistics of both types of RNA on transcriptional parameters and potentially provide a means to estimate parameter values from experimental data.
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