Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4499375 | Journal of Theoretical Biology | 2006 | 8 Pages |
Abstract
A stochastic model of solid tumor growth based on deterministic Gompertz law is presented. Tumor cells evolution is described by a one-dimensional diffusion process limited by two absorbing boundaries representing healing threshold and patient death (carrying capacity), respectively. Via a numerical approach the first exit time problem is analysed for the process inside the region restricted by the boundaries. The proposed model is also implemented to simulate the effects of a time-dependent therapy. Finally, some numerical results are obtained for the specific case of a parathyroid tumor.
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Authors
G. Albano, V. Giorno,