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

页码：676 / 718

页数：43

共 24 条

[1]

[Anonymous], 2002, HDB BROWNIAN MOTION, DOI DOI 10.1007/978-3-0348-8163-0

[2]

[Anonymous], 1972, BRANCHING PROCESSES

[3]

[Anonymous], 2006, EVOLUTIONARY DYNAMIC, DOI DOI 10.2307/J.CTVJGHW98

[4] THE AGE DISTRIBUTION OF CANCER AND A MULTI-STAGE THEORY OF CARCINOGENESIS [J].