Math @ Duke

Publications [#243530] of Richard T. Durrett
Papers Published
 Durrett, R; Foo, J; Leder, K; Mayberry, J; Michor, F, Evolutionary dynamics of tumor progression with random fitness values.,
Theoretical Population Biology, vol. 78 no. 1
(August, 2010),
pp. 5466, ISSN 00405809 [math.PR/1003.1927], [doi]
(last updated on 2019/07/16)
Abstract: Most human tumors result from the accumulation of multiple genetic and epigenetic alterations in a single cell. Mutations that confer a fitness advantage to the cell are known as driver mutations and are causally related to tumorigenesis. Other mutations, however, do not change the phenotype of the cell or even decrease cellular fitness. While much experimental effort is being devoted to the identification of the functional effects of individual mutations, mathematical modeling of tumor progression generally considers constant fitness increments as mutations are accumulated. In this paper we study a mathematical model of tumor progression with random fitness increments. We analyze a multitype branching process in which cells accumulate mutations whose fitness effects are chosen from a distribution. We determine the effect of the fitness distribution on the growth kinetics of the tumor. This work contributes to a quantitative understanding of the accumulation of mutations leading to cancer.


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