First-passage time statistics of stochastic transcription process for time-dependent reaction rates.
Living systems: Biological networks
Journal
The European physical journal. E, Soft matter
ISSN: 1292-895X
Titre abrégé: Eur Phys J E Soft Matter
Pays: France
ID NLM: 101126530
Informations de publication
Date de publication:
25 Feb 2019
25 Feb 2019
Historique:
received:
06
06
2018
accepted:
28
01
2019
entrez:
23
2
2019
pubmed:
23
2
2019
medline:
23
4
2019
Statut:
epublish
Résumé
Transcription in gene expression is an intrinsically noisy process which involves production and degradation of mRNAs. An important quantity to describe this stochastic process is the first-passage time (FPT), i.e., the time taken by mRNAs to reach a particular threshold. The process of transcription can be modelled as a simple birth-death process, assuming that the promoter is always in an active state and to encode the stochastic environment we consider the transcription rate to be time dependent. This generalization is suitable to capture bursty mRNA dynamics usually modelled as an ON-Off model and simplifies the calculation of FPT statistics for a cell population. We study the role of periodic modulation of the transcription rate on different moments of FPT distribution of a population of cells. Our calculation shows that for sinusoidal modulation there exists an extremal value of mean FPT as a function of the time period and phase of the transcription signal. However, for the square wave modulation of transcription rates simulation results show that the extremal value of the MFPT behaves monotonically with the variation of the phase.
Identifiants
pubmed: 30793216
doi: 10.1140/epje/i2019-11788-8
pii: 10.1140/epje/i2019-11788-8
doi:
Substances chimiques
RNA, Messenger
0
DNA
9007-49-2
Types de publication
Journal Article
Langues
eng
Sous-ensembles de citation
IM
Pagination
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