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JOURNALS // Problemy Upravleniya // Archive

Probl. Upr., 2012 Issue 3, Pages 41–48 (Mi pu713)

Control of medicobiologic systems

Immune response enhancement via controlled drug scheduling

V. N. Andruhina, V. N. Afanasiev

Moscow State Institute of Electronics and Mathematics

Abstract: The human immunodeficiency virus infection, that causes Acquired Immune Deficiency Syndrome (AIDS), is a dynamic process that can be modeled via differential equations. The paper introduces a methodological problem of use of modern mathematical and information methods to boost the response of the immune system by means of drug scheduling. The control purpose is to steer the system to an equilibrium condition, known as long-term nonprogressor, which corresponds to an infected patient that does not develop AIDS symptoms. To show the feasibility of the control methodology a human immunodeficiency virus model computer simulations are presented.

Keywords: nonlinear continuous dynamic systems, differential games, guaranteed control, mathematical models of HIV-infection.

UDC: 517.977+519.714.2



© Steklov Math. Inst. of RAS, 2024