title: Estimation of mean first passage time for bursty gene expression.
abstract: Gene expression is an intrinsically noisy process, typically, producing mRNAs and proteins in bursts. An important description of such stochastic processes can be done in terms of the mean first passage time (MFPT), i.e., the time taken by mRNAs/proteins to reach a particular threshold. We study the role of burstiness on MFPT and obtain an analytical expression for different models of transcriptional and translational bursts. Our analytical results and numerical simulations confirm that MFPT monotonically decreases with burstiness.
authors.affiliation: Indian Institute of Science Education and Research (IISER) Kolkata Mohanpur 741246, India.
authors.forename: Mayank
authors.initials: M
authors.lastname: Shreshtha
authors.forename: Anudeep
authors.initials: A
authors.lastname: Surendran
authors.forename: Anandamohan
authors.initials: A
authors.lastname: Ghosh
mesh_terms: D015870:Gene Expression; D008957:Models, Genetic; D011506:Proteins / Q000378:metabolism*; D012333:RNA, Messenger / Q000378:metabolism*; D013269:Stochastic Processes; D013997:Time Factors
chemical_list: D011506:Proteins; D012333:RNA, Messenger