Analytic solutions for stochastic models of transcription

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dc.contributor.authorHosseini, Seyed Hossein
dc.contributor.authorUniversity of Lethbridge. Faculty of Arts and Science
dc.contributor.supervisorRoussel, Marc R.
dc.date.accessioned2017-03-08T20:50:45Z
dc.date.available2017-03-08T20:50:45Z
dc.date.issued2016
dc.degree.levelMastersen_US
dc.description.abstractThe spatio-temporal organization of one RNA polymerase (RNAP) along a DNA strand is explored by studying a kinetic stochastic model for transcription process, the first step in gene expression. An explicit expression for the probability density of one RNAP was found and compared with stochastic simulation results from the corresponding detailed stochastic model. The explicit solution predicts that the movement of RNAP in large genes (genes of a few hundred nucleotides or more) is advective. It provides a justification for the use of delays in gene expression modeling, especially in delay-stochastic models. The kinetic model for the elongation stage of transcription was extended to two bodies, and the related Fokker-Planck equation was developed. This equation describes the evolution of the joint probability density for two RNAPs along the DNA track.en_US
dc.embargoNoen_US
dc.identifier.urihttps://hdl.handle.net/10133/4791
dc.language.isoen_USen_US
dc.proquest.subject0487en_US
dc.proquest.subject0405en_US
dc.proquestyesYesen_US
dc.publisherLethbridge, Alta : University of Lethbridge, Dept. of Chemistry and Biochemistryen_US
dc.publisher.departmentDepartment of Chemistry and Biochemistryen_US
dc.publisher.facultyArts and Scienceen_US
dc.relation.ispartofseriesThesis (University of Lethbridge. Faculty of Arts and Science)en_US
dc.subjectelongation pausesen_US
dc.subjecteukaryotic cell transcriptionen_US
dc.subjectnon-stationary analytical solutionsen_US
dc.subjectRNAPII transcriptionen_US
dc.subjectspatio-temporal organizationen_US
dc.subjectstochastic kinetic methoden_US
dc.titleAnalytic solutions for stochastic models of transcriptionen_US
dc.typeThesisen_US
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