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Title: Mutation frequencies in a birth-death branching process
Author: Cheek, David Michael
ISNI:       0000 0004 8497 7627
Awarding Body: University of Edinburgh
Current Institution: University of Edinburgh
Date of Award: 2019
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A 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.
Supervisor: Antal, Tibor ; Shneer, Vsevolod Sponsor: Engineering and Physical Sciences Research Council (EPSRC)
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: genetic data ; tumour trajectory ; mutation frequencies ; genetic sequence ; power-law distribution ; quantitative relationships