4.4 Article

POPULATION GENETICS OF NEUTRAL MUTATIONS IN EXPONENTIALLY GROWING CANCER CELL POPULATIONS

Journal

ANNALS OF APPLIED PROBABILITY
Volume 23, Issue 1, Pages 230-250

Publisher

INST MATHEMATICAL STATISTICS
DOI: 10.1214/11-AAP824

Keywords

Exponentially growing population; site frequency spectrum; multitype branching process; cancer model

Funding

  1. NSF [DMS-10-05470]
  2. NIH [R01-GM096190-02]
  3. Direct For Mathematical & Physical Scien
  4. Division Of Mathematical Sciences [1057675] Funding Source: National Science Foundation

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In order to analyze data from cancer genome sequencing projects, we need to be able to distinguish causative, or driver, mutations from passenger mutations that have no selective effect. Toward this end, we prove results concerning the frequency of neutural mutations in exponentially growing multitype branching processes that have been widely used in cancer modeling. Our results yield a simple new population genetics result for the site frequency spectrum of a sample from an exponentially growing population.

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