Mutation frequencies in a birth-death branching process
dc.contributor.advisor
Antal, Tibor
en
dc.contributor.advisor
Shneer, Vsevolod
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dc.contributor.author
Cheek, David Michael
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dc.contributor.sponsor
Engineering and Physical Sciences Research Council (EPSRC)
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dc.date.accessioned
2019-09-18T10:32:21Z
dc.date.available
2019-09-18T10:32:21Z
dc.date.issued
2019-08-20
dc.description.abstract
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.
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dc.identifier.uri
http://hdl.handle.net/1842/36163
dc.language.iso
en
dc.publisher
The University of Edinburgh
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dc.subject
genetic data
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dc.subject
tumour trajectory
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dc.subject
mutation frequencies
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dc.subject
genetic sequence
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dc.subject
power-law distribution
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dc.subject
quantitative relationships
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dc.title
Mutation frequencies in a birth-death branching process
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dc.type
Thesis or Dissertation
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dc.type.qualificationlevel
Doctoral
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dc.type.qualificationname
PhD Doctor of Philosophy
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