title: A stochastic model in tumor growth.
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.
authors.affiliation: Dipartimento di Matematica e Informatica, Università di Salerno Via Ponte don Melillo-84084 Fisciano, SA-Italy. pialbano@unisa.it <pialbano@unisa.it>
authors.forename: G
authors.initials: G
authors.lastname: Albano
authors.forename: V
authors.initials: V
authors.lastname: Giorno
mesh_terms: D002455:Cell Division; D006801:Humans; D008954:Models, Biological; D009369:Neoplasms / Q000473:pathology*; D010282:Parathyroid Neoplasms / Q000473:pathology / Q000628:therapy; D013269:Stochastic Processes