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JOURNALS // Problemy Upravleniya // Archive

Probl. Upr., 2017 Issue 3, Pages 49–56 (Mi pu1030)

This article is cited in 3 papers

Control of medicobiologic systems

Using mathematical modeling to assess the effectiveness of anti-tumor vaccine therapy method

N. A. Babushkina, V. M. Glumov, E. A. Kuzina

V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow

Abstract: On the basis of the antitumor vaccine therapy mathematical model the algorithm is developed for calculating the dosage and viral vaccine introduction moment, at which the immune system response to the virus and infected tumor cells is the most effective. The method is developed of calculating the experimental tumors maximum allowable size, the excess of which reduces the efficiency of the vaccine therapy. The method is based on the mathematical description of the dynamics of fast-proliferating tumor cells fraction decrease with the increase of the tumor size. The graphs are plotted showing the changes of the immune system stimulation effectiveness depending on the dosage and vaccine introduction moment, and allowing the optimal control of the immune response dynamics during vaccine therapy.

Keywords: mathematical model, tumor cells, antibodies, vaccine introduction moment, vaccine effectiveness, immune response, virus, vaccine therapy.

UDC: 519.622.2



© Steklov Math. Inst. of RAS, 2024