English

Spatial Moran models I. Stochastic tunneling in the neutral case

Probability 2015-01-20 v1

Abstract

We consider a multistage cancer model in which cells are arranged in a dd-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 d2d\ge 2, extending work done by Komarova [Genetics 166 (2004) 1571-1579] for d=1d=1.

Keywords

Cite

@article{arxiv.1501.04443,
  title  = {Spatial Moran models I. Stochastic tunneling in the neutral case},
  author = {Richard Durrett and Stephen Moseley},
  journal= {arXiv preprint arXiv:1501.04443},
  year   = {2015}
}

Comments

Published in at http://dx.doi.org/10.1214/13-AAP989 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)

R2 v1 2026-06-22T08:05:30.739Z