{
  "id": "1501.04443",
  "version": "v1",
  "published": "2015-01-19T10:31:21.000Z",
  "updated": "2015-01-19T10:31:21.000Z",
  "title": "Spatial Moran models I. Stochastic tunneling in the neutral case",
  "authors": [
    "Richard Durrett",
    "Stephen Moseley"
  ],
  "comment": "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)",
  "journal": "Annals of Applied Probability 2015, Vol. 25, No. 1, 104-115",
  "doi": "10.1214/13-AAP989",
  "categories": [
    "math.PR"
  ],
  "abstract": "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 $d\\ge 2$, extending work done by Komarova [Genetics 166 (2004) 1571-1579] for $d=1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-19T10:31:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spatial moran models",
      "neutral case",
      "stochastic tunneling",
      "dimensional integer lattice",
      "multistage cancer model"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150104443D"
    }
  }
}