A Control Systems Analysis of HIV Prevention Model using Impulsive Input

Hyeygjeon Chang (1) , Claude Moog (2) , Alessandro Astolfi (3) , P.S. Rivadeneira

1 School of Electrical Engineering [Korea University]
2 IRCCyN - Institut de Recherche en Communications et en Cybernétique de Nantes
3 EEE Department

We investigate a control systems analysis on HIV infection dynamics with regard to enhancement of the immune response. The HIV dynamic model is modified to include the pharmaco-kinetics and pharmacodynamics of antiretroviral HIV drugs, and the intake of drug is considered as impulsive control input. As it is administrated at discrete time instants, we assume that this yields an impulsive control problem for a nonlinear continuous-time system. Based on this new model, we study clinical experiments about antiretoviral treatments via numerical simulation and analyse the experimental results. It is noted that this modeling approach can help to provide a theoretical explanation of the clinical results. The analysis result in the paper could imply that the protocol of the experiment might enhance the immune response against HIV.

Mots clés: biological systems; disease dynamics; HIV/AIDS models; nonlinear systems; impulsive control.; impulsive control

Domaines: Automatique

Hyeygjeon Chang, Claude Moog, Alessandro Astolfi, P.S. Rivadeneira. A Control Systems Analysis of HIV Prevention Model using Impulsive Input. Biomedical Signal Processing and Control, 2014, 13, pp.123-131. ⟨10.1016/j.bspc.2014.03.008⟩. ⟨hal-00966606⟩