A stochastic model in tumor growth |
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Authors: | Albano G Giorno V |
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Affiliation: | Dipartimento di Matematica e Informatica, Università di Salerno Via Ponte don Melillo-84084 Fisciano, SA-Italy. pialbano@unisa.it |
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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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Keywords: | Tumor cells kinetic Gompertz equation Diffusion process Ornstein-Uhlenbeck process First exit time problem |
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