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{1241702247,
author = {Durrett, Rick and Schmidt, Deena and Schweinsberg, Jason},
title = {A waiting time problem arising from the study of multi-stage carcinogenesis},
journal = {Ann. Appl. Probab.},
volume = {19},
number = {1},
year = {2009},
pages = { 676-718},
language = {en},
url = {http://dml.mathdoc.fr/item/1241702247}
}
Durrett, Rick; Schmidt, Deena; Schweinsberg, Jason. A waiting time problem arising from the study of multi-stage carcinogenesis. Ann. Appl. Probab., Tome 19 (2009) no. 1, pp. 676-718. http://gdmltest.u-ga.fr/item/1241702247/