Mathematical modeling of the cancer treatment based on immunotherapy

Goncharova A. B., Kolpak E. P.

A mathematical model of the immune response to the appearance of neoplasms in the body has been developed, taking into account the interaction of dividing cells and cells of the immune system. Contact interaction is considered as a competition of two types of cells in the functional space. Possible variants of stationary states are determined. As methods of treatment, a model of external intervention and immunotherapy is proposed, which affects the rates of biochemical reactions.

Keywords:mathematical modeling; sustainability; differential equations; neoplasm; treatment model; relapse.