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.
Bibliographical noteFunding Information:
RD is partially supported by NIH grant 5R01GM096190, JF by NSF grants DMS-1224362 and DMS-1349724, and KL by NSF Grants DMS-1224362 and CMMI-1362236. We would like to thank Marc Ryser for helpful comments on previous versions of this paper.
© 2015, Springer-Verlag Berlin Heidelberg.
- Asymptotics for waiting times
- Biased voter model
- Cancer field effect
- Shape theorem