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arxiv: 1501.04443 · v1 · pith:I7IEBNVEnew · submitted 2015-01-19 · 🧮 math.PR

Spatial Moran models I. Stochastic tunneling in the neutral case

classification 🧮 math.PR
keywords cellsneutralaccumulatedarrangedcancercasecellconsider
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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 $d=1$.

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