The Annals of Applied Probability

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

Rick Durrett, Deena Schmidt, and Jason Schweinsberg

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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.

Article information

Ann. Appl. Probab., Volume 19, Number 2 (2009), 676-718.

First available in Project Euclid: 7 May 2009

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Zentralblatt MATH identifier

Primary: 60J99: None of the above, but in this section
Secondary: 92C50: Medical applications (general) 92D25: Population dynamics (general) 60J85: Applications of branching processes [See also 92Dxx]

Multi-stage carcinogenesis waiting times Moran model branching process Wright–Fisher diffusion


Durrett, Rick; Schmidt, Deena; Schweinsberg, Jason. A waiting time problem arising from the study of multi-stage carcinogenesis. Ann. Appl. Probab. 19 (2009), no. 2, 676--718. doi:10.1214/08-AAP559.

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