Mathematical modeling of cancer treatment

The current study develops a mathematical model of neoplasm growth taking into account the immune response of the body. Mathematical models of treatment include chemotherapy, external intervention and immunotherapy. Mathematical models are based on the Cauchy problem for ordinary differential equations. The authors conduct an analysis of stationary states and obtain the conditions for the “destruction” of the neoplasm. The study also introduces a model for the purposes of constructing the distribution of conditional patients according to the stages of the disease and the duration of treatment. The “dose-effect” dependencies for various treatment programs are also constructed.