Open Access
Translator Disclaimer
April 2009 A waiting time problem arising from the study of multi-stage carcinogenesis
Rick Durrett, Deena Schmidt, Jason Schweinsberg
Ann. Appl. Probab. 19(2): 676-718 (April 2009). DOI: 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.


Download Citation

Rick Durrett. Deena Schmidt. Jason Schweinsberg. "A waiting time problem arising from the study of multi-stage carcinogenesis." Ann. Appl. Probab. 19 (2) 676 - 718, April 2009.


Published: April 2009
First available in Project Euclid: 7 May 2009

zbMATH: 1219.92038
MathSciNet: MR2521885
Digital Object Identifier: 10.1214/08-AAP559

Primary: 60J99
Secondary: 60J85 , 92C50 , 92D25

Keywords: branching process , Moran model , Multi-stage carcinogenesis , Waiting times , Wright–Fisher diffusion

Rights: Copyright © 2009 Institute of Mathematical Statistics


Vol.19 • No. 2 • April 2009
Back to Top