title: A stochastic model of tumor angiogenesis.
abstract: Angiogenesis is a prerequisite for the growth, invasion and metastasis of solid tumors. The aim of this study was to investigate the changes of microvessel densities in tumor with a method of probability. We showed that the stages of tumor angiogenesis may follow a probabilistic pattern compatible with Markov chain and this could be of prognostic importance. The system was simulated with 10,000 patients in order to show the applicability of this method. This approach may improve classification schemes and perhaps make diagnosis and treatment more individualized to patients.
authors: Endocrinology and Metabolism Research Center (EMRC), Tehran University of Medical Sciences, Fifth Floor, Dr. Shariati Hospital, North Kargar Avenue, Tehran 14114, Iran.
authors: Babak
authors: B
authors: Mohammadi
authors: Vahid
authors: V
authors: Haghpanah
authors: Bagher
authors: B
authors: Larijani
mesh_terms: D003198:Computer Simulation; D006801:Humans; D008390:Markov Chains; D055806:Microvessels / Q000473:pathology; D008954:Models, Biological; D015233:Models, Statistical; D009369:Neoplasms / Q000098:blood supply*; D009389:Neovascularization, Pathologic; D013269:Stochastic Processes