The Annals of Applied Probability

Spatial Moran models I. Stochastic tunneling in the neutral case

Richard Durrett and Stephen Moseley

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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 $d\ge2$, extending work done by Komarova [Genetics 166 (2004) 1571–1579] for $d=1$.

Article information

Source
Ann. Appl. Probab., Volume 25, Number 1 (2015), 104-115.

Dates
First available in Project Euclid: 16 December 2014

Permanent link to this document
https://projecteuclid.org/euclid.aoap/1418740180

Digital Object Identifier
doi:10.1214/13-AAP989

Mathematical Reviews number (MathSciNet)
MR3297767

Zentralblatt MATH identifier
1344.60094

Subjects
Primary: 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43] 92C50: Medical applications (general)

Keywords
Biased voter model stochastic tunneling cancer progression

Citation

Durrett, Richard; Moseley, Stephen. Spatial Moran models I. Stochastic tunneling in the neutral case. Ann. Appl. Probab. 25 (2015), no. 1, 104--115. doi:10.1214/13-AAP989. https://projecteuclid.org/euclid.aoap/1418740180


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References

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