A waiting time problem arising from the study of multi-stage carcinogenesis

Mathematics – Probability

Scientific paper

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Published in at http://dx.doi.org/10.1214/08-AAP559 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Inst

Scientific paper

10.1214/08-AAP559

We consider the population genetics problem: how long does it take before
some member of the population has $m$ specified mutations? The case $m=2$ is
relevant to onset of cancer due to the inactivation of both copies of a tumor
suppressor gene. Models for larger $m$ are needed for colon cancer and other
diseases where a sequence of mutations leads to cells with uncontrolled growth.

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