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Exact protein distributions for stochastic models of gene expression using partitioning of Poisson processes

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dc.contributorVirginia Techen
dc.contributor.authorPendar, Hodjaten
dc.contributor.authorPlatini, Thierryen
dc.contributor.authorKulkarni, Rahul V.en
dc.contributor.departmentBiomedical Engineering and Mechanicsen
dc.date.accessed2013-12-17en
dc.date.accessioned2014-01-17T13:41:34Zen
dc.date.available2014-01-17T13:41:34Zen
dc.date.issued2013-04-26en
dc.description.abstractStochasticity in gene expression gives rise to fluctuations in protein levels across a population of genetically identical cells. Such fluctuations can lead to phenotypic variation in clonal populations; hence, there is considerable interest in quantifying noise in gene expression using stochastic models. However, obtaining exact analytical results for protein distributions has been an intractable task for all but the simplest models. Here, we invoke the partitioning property of Poisson processes to develop a mapping that significantly simplifies the analysis of stochastic models of gene expression. The mapping leads to exact protein distributions using results for mRNA distributions in models with promoter-based regulation. Using this approach, we derive exact analytical results for steady-state and time-dependent distributions for the basic two-stage model of gene expression. Furthermore, we show how the mapping leads to exact protein distributions for extensions of the basic model that include the effects of posttranscriptional and posttranslational regulation. The approach developed in this work is widely applicable and can contribute to a quantitative understanding of stochasticity in gene expression and its regulation.en
dc.description.sponsorshipNSF PHY-0957430en
dc.description.sponsorshipNDSSL group at VBIen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationPendar, Hodjat ; Platini, Thierry ; Kulkarni, Rahul V., Apr 26, 2013. "Exact protein distributions for stochastic models of gene expression using partitioning of Poisson processes," PHYSICAL REVIEW E 87(4): 042720. DOI: 10.1103/PhysRevE.87.042720.en
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.87.042720en
dc.identifier.issn1539-3755en
dc.identifier.urihttp://hdl.handle.net/10919/24891en
dc.identifier.urlhttp://link.aps.org/doi/10.1103/PhysRevE.87.042720en
dc.language.isoen_USen
dc.publisherAmerican Physical Societyen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectNoiseen
dc.subjectDynamicsen
dc.subjectPromoteren
dc.subjectPhysicsen
dc.titleExact protein distributions for stochastic models of gene expression using partitioning of Poisson processesen
dc.title.serialPhysical Review Een
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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