Authors:
A. V. KIM, doctor of physics and mathematics science, head of sector, leader researcher,
A. V. IVANOV, programmer, laboratory researcher,
Institute of Mathematics and Mechanics UrB RAS (16 S. Kovalevskaya str., 620990, Ekaterinburg; e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.),
Ural Federal University (19 Mira str., 620002, Ekaterinburg; e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.)
Abstract. We consider problem of control of conflict-controlled HIV process formalized in the form of an antagonistic differential game between two persons. The first player is responsible for the formation of the optimal structured treatment interruption (STI) scenario and aims, under all possible actions of the second player, to lead the HIV process from the viral dominance state to the immune dominance state, while delivering the minimum value of cost function. The second player pursues opposite goals. It is numerically shown that the non-linear HIV-model Callaway-Perelson, described in the form of a system of ordinary differential equations, is sensitive to single disturbances of the suboptimal STI scenario. For the model we presented the results of numerical construction of a suboptimal game STI scenario that is resistant to single disturbances of drug regimen. The results of numerical simulation showed the stability of the constructed suboptimal game scenario to single skipping of drugs. The developed method can be applied to the development and research of interruptible antiretroviral therapy schemes that are resistant to such uncertainties as the resistance of the virus to antiretroviral drugs, insufficient adherence of the patient to therapy, individual features of the pharmacokinetics and pharmacodynamics of antiretroviral drugs.
Keywords: HIV infection, interrupted therapy, conflict-control HIV-model, game control, suboptimal scenario.
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