%0 Journal Article %T A waiting time problem arising from the study of multi-stage carcinogenesis %A Rick Durrett %A Deena Schmidt %A Jason Schweinsberg %J Mathematics %D 2007 %I arXiv %R 10.1214/08-AAP559 %X 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. %U http://arxiv.org/abs/0707.2057v3