A stochastic model of tumor angiogenesis

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.