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Evolutionary dynamics of tumor progression with random fitness values.

Publication ,  Journal Article
Durrett, R; Foo, J; Leder, K; Mayberry, J; Michor, F
Published in: Theoretical population biology
August 2010

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 multi-type 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.

Duke Scholars

Published In

Theoretical population biology

DOI

EISSN

1096-0325

ISSN

0040-5809

Publication Date

August 2010

Volume

78

Issue

1

Start / End Page

54 / 66

Related Subject Headings

  • United States
  • Stochastic Processes
  • Statistical Distributions
  • Polymorphism, Genetic
  • Poisson Distribution
  • Neoplasms
  • Mutation
  • Models, Theoretical
  • Models, Genetic
  • Humans
 

Citation

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Durrett, R., Foo, J., Leder, K., Mayberry, J., & Michor, F. (2010). Evolutionary dynamics of tumor progression with random fitness values. Theoretical Population Biology, 78(1), 54–66. https://doi.org/10.1016/j.tpb.2010.05.001
Durrett, Rick, Jasmine Foo, Kevin Leder, John Mayberry, and Franziska Michor. “Evolutionary dynamics of tumor progression with random fitness values.Theoretical Population Biology 78, no. 1 (August 2010): 54–66. https://doi.org/10.1016/j.tpb.2010.05.001.
Durrett R, Foo J, Leder K, Mayberry J, Michor F. Evolutionary dynamics of tumor progression with random fitness values. Theoretical population biology. 2010 Aug;78(1):54–66.
Durrett, Rick, et al. “Evolutionary dynamics of tumor progression with random fitness values.Theoretical Population Biology, vol. 78, no. 1, Aug. 2010, pp. 54–66. Epmc, doi:10.1016/j.tpb.2010.05.001.
Durrett R, Foo J, Leder K, Mayberry J, Michor F. Evolutionary dynamics of tumor progression with random fitness values. Theoretical population biology. 2010 Aug;78(1):54–66.
Journal cover image

Published In

Theoretical population biology

DOI

EISSN

1096-0325

ISSN

0040-5809

Publication Date

August 2010

Volume

78

Issue

1

Start / End Page

54 / 66

Related Subject Headings

  • United States
  • Stochastic Processes
  • Statistical Distributions
  • Polymorphism, Genetic
  • Poisson Distribution
  • Neoplasms
  • Mutation
  • Models, Theoretical
  • Models, Genetic
  • Humans