Spatial Moran models, II: cancer initiation in spatially structured tissue

R. Durrett, J. Foo, K. Leder

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)1369-1400
Number of pages32
JournalJournal of Mathematical Biology
Issue number5
StatePublished - Apr 1 2016

Bibliographical note

Publisher Copyright:
© 2015, Springer-Verlag Berlin Heidelberg.


  • Asymptotics for waiting times
  • Biased voter model
  • Cancer field effect
  • Shape theorem


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