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Spatial Moran Models, II: Cancer Initiation in Spatially Structured Tissue

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Journal J Math Biol
Date 2015 Jul 2
PMID 26126947
Citations 16
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Abstract

We study the accumulation and spread of advantageous mutations in a spatial stochastic model of cancer initiation on a lattice. The parameters of this general model can be tuned to study a variety of cancer types and genetic progression pathways. This investigation contributes to an understanding of how the selective advantage of cancer cells together with the rates of mutations driving cancer, impact the process and timing of carcinogenesis. These results can be used to give insights into tumor heterogeneity and the "cancer field effect," the observation that a malignancy is often surrounded by cells that have undergone premalignant transformation.

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References
1.
Lieberman E, Hauert C, Nowak M . Evolutionary dynamics on graphs. Nature. 2005; 433(7023):312-6. DOI: 10.1038/nature03204. View

2.
Durrett R, Moseley S . Spatial Moran Models I. Stochastic Tunneling in the Neutral Case. Ann Appl Probab. 2015; 25(1):104-115. PMC: 4587779. DOI: 10.1214/13-AAP989. View

3.
Martens E, Kostadinov R, Maley C, Hallatschek O . Spatial structure increases the waiting time for cancer. New J Phys. 2012; 13. PMC: 3375912. DOI: 10.1088/1367-2630/13/11/115014. View

4.
Williams T, Bjerknes R . Stochastic model for abnormal clone spread through epithelial basal layer. Nature. 1972; 236(5340):19-21. DOI: 10.1038/236019a0. View

5.
Maruyama T . On the fixation probability of mutant genes in a subdivided population. Genet Res. 1970; 15(2):221-5. DOI: 10.1017/s0016672300001543. View