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dc.contributor.advisorAntal, Tibor
dc.contributor.advisorShneer, Vsevolod
dc.contributor.authorCheek, David Michael
dc.date.accessioned2019-09-18T10:32:21Z
dc.date.available2019-09-18T10:32:21Z
dc.date.issued2019-08-20
dc.identifier.urihttp://hdl.handle.net/1842/36163
dc.description.abstractA growing population of cells accumulates genetic mutations. We study stochastic models of this process. Cells divide and die as a branching process, and a cell's genetic information is a sequence of nucleotides which mutates randomly at division. Motivated by biologically realistic parameters, we consider that few cells grow to many cells and mutation rates are small, proving approximations in this limit. In particular we are interested in mutation frequencies and their dependency structure along the genetic sequence; the relevance of the evolutionary tree and selection are discussed. Amongst other results, we recover a power-law distribution for mutation frequencies which is consistent with previously published cancer genetic data.en
dc.contributor.sponsorEngineering and Physical Sciences Research Council (EPSRC)en
dc.language.isoenen
dc.publisherThe University of Edinburghen
dc.subjectgenetic dataen
dc.subjecttumour trajectoryen
dc.subjectmutation frequenciesen
dc.subjectgenetic sequenceen
dc.subjectpower-law distributionen
dc.subjectquantitative relationshipsen
dc.titleMutation frequencies in a birth-death branching processen
dc.typeThesis or Dissertationen
dc.type.qualificationlevelDoctoralen
dc.type.qualificationnamePhD Doctor of Philosophyen


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