A WAITING TIME PROBLEM ARISING FROM THE STUDY OF MULTI-STAGE CARCINOGENESIS

被引：46
|
作者：
Durrett, Rick [1 ]
Schmidt, Deena [2 ]
Schweinsberg, Jason [3 ]
机构：
[1] Cornell Univ, Dept Math, Ithaca, NY 14853 USA
[2] Univ Minnesota, Inst Math & Applicat, Minneapolis, MN 55455 USA
[3] Univ Calif San Diego, Dept Math, La Jolla, CA 92093 USA
来源：
ANNALS OF APPLIED PROBABILITY | 2009年 / 19卷 / 02期
关键词：
Multi-stage carcinogenesis; waiting times; Moran model; branching process; Wright-Fisher diffusion; TUMOR-SUPPRESSOR GENES; COLORECTAL-CANCER; MUTATIONS; EVOLUTION;
D O I：
10.1214/08-AAP559
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
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.
引用
收藏
页码：676 / 718
页数：43
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