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

• 成果类型: Article
• 署名作者: Durrett, Rick; Schmidt, Deena; Schweinsberg, Jason
• 署名单位: Cornell University; University of Minnesota System; University of Minnesota Twin Cities; University of California System; University of California San Diego
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/08-AAP559
• 发表日期: 2009
• 页码: 676-718
• 关键词: tumor-suppressor genes; colorectal-cancer; mutations; EVOLUTION

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.