SPATIAL MORAN MODELS I. STOCHASTIC TUNNELING IN THE NEUTRAL CASE

• 成果类型: Article
• 署名作者: Durrett, Richard; Moseley, Stephen
• 署名单位: Duke University
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/13-AAP989
• 发表日期: 2015
• 页码: 104-115
• 关键词: tumor-suppressor genes; chromosomal instability; evolutionary dynamics; cancer initiation; Waiting time; growth model; voter model; mutations; LIMITS

摘要

We consider a multistage cancer model in which cells are arranged in a d-dimensional integer lattice. Starting with all wild-type cells, we prove results about the distribution of the first time when two neutral mutations have accumulated in some cell in dimensions d > 2, extending work done by Komarova [Genetics 166 (2004) 1571-1579] for d = 1.