Analytical study of the antitumor viral vaccine introduction regimens based on mathematical modeling

Abstract

The paper presents the algorithm for calculating the maximal effective antitumor viral vaccine introduction regimens, using a computing experiment method (in silico) based on the software implementation of two mathematical models in the MatLab-Simulink system. The first model of antitumor vaccine therapy describes a two-stage mechanism of the tumor cells’ death as a result of the immune response. The effectiveness of immune response is measured in the number of antibodies formed by the immune system against virus-infected tumor cells. The second model of antitumor therapy with discontinuous trajectories of tumor growth is designed to evaluate the rate of the tumor cells’ death after the introduction of the viral vaccine. The effectiveness of the therapy is measured in the number of dying tumor cells after the introduction of a viral vaccine.