Stochastic models of the growth dynamics of some dendritic cells

Abstract

Different models of tumor growth are considered. Some mathematical methods are developed to analyze the dynamics of mutations enabling cells in cancer patients to metas-tize. The mathematical models consist of some stochastic dynamical systems describing tumor cells and immune effectors. It is also considered a method to find the ideal outcome of some treatments. Some different types of dendritic cells are considered. The obtained results will help to find some suitable treatments,which can be successful in returning an aggressive tumor to its passive,non-immune evading state. The principle goal of this paper is to find ways to treat the cancer tumors before they can reach an advanced stage devel-opmen.\n\nAMS Subject Classifications92B05, 37C45.