Mathematical modeling of antitumor vaccine therapy control

The results are presented of exploring the different strategies of applying the antitumor viral vaccines using the mathematical modeling. The model describes the two stages of the tumor cells’ death as a result of immune response to the introduction of the viral vaccine. The results are obtained by performing the computing experiment using in the MatLab-Simulink system complex. The analysis of the results obtained has shown that the tumor size at the beginning of the treatment requires the calculation of the appropriate dosage to perform the effective strategy of vaccine introduction control. As the result of the computing experiment, the doses of the viral vaccine and the moments of its introduction are determined that provide the complete elimination of the tumor cells with the single injection. However, the complete recovery with the single introduction of the viral vaccine is possible only for the small-sized tumors. It is shown that the strategy of restraining the tumor in its pre-treatment size is to be implemented by periodic re-introduction of the vaccine. The doses and the intervals between the introductions are calculated based on the tumor size at the beginning of the treatment. The strategy of suppressing the tumor growth until complete elimination of the tumor cells is performed by reducing the time intervals between recurrent vaccine introductions. The dosage, the initial interval between injections, and the duration of the treatment are also calculated depending on the tumor size at the beginning of the treatment.