Regular Papers

International Journal of Control, Automation and Systems 2003; 1(3): 282-288

© The International Journal of Control, Automation, and Systems

Optimal Scheduling of Drug Treatment for HIV Infection: Continuous Dose Control and Receding Horizon Control

Hyungbo Shim, Seung-Ju Han, Chung Choo Chung, Sang Won Nam, and Jin Heon Seo

Abstract

It is known that HIV (Human Immunodeficiency Virus) infection, which causes AIDS after some latent period, is a dynamic process that can be modeled mathematically. Effects of available anti-viral drugs, which prevent HIV from infecting healthy cells, can also be included in the model. In this paper we illustrate control theory can be applied to a model of HIV infection. In particular, the drug dose is regarded as control input and the goal is to excite an immune response so that the symptom of infected patient should not be developed into AIDS. Finite horizon optimal control is employed to obtain the optimal schedule of drug dose since the model is highly nonlinear and we want maximum performance for enhancing the immune response. From the simulation studies, we found that gradual reduction of drug dose is important for the optimality. We also demonstrate the obtained open-loop optimal control is vulnerable to parameter variation of the model and measurement noise. To overcome this difficulty, we finally present nonlinear receding horizon control to incorporate feedback in the drug treatment.

Keywords Chemotherapy, HIV, optimal control, receding horizon control.

Article

Regular Papers

International Journal of Control, Automation and Systems 2003; 1(3): 282-288

Published online September 1, 2003

Copyright © The International Journal of Control, Automation, and Systems.

Optimal Scheduling of Drug Treatment for HIV Infection: Continuous Dose Control and Receding Horizon Control

Hyungbo Shim, Seung-Ju Han, Chung Choo Chung, Sang Won Nam, and Jin Heon Seo

Abstract

It is known that HIV (Human Immunodeficiency Virus) infection, which causes AIDS after some latent period, is a dynamic process that can be modeled mathematically. Effects of available anti-viral drugs, which prevent HIV from infecting healthy cells, can also be included in the model. In this paper we illustrate control theory can be applied to a model of HIV infection. In particular, the drug dose is regarded as control input and the goal is to excite an immune response so that the symptom of infected patient should not be developed into AIDS. Finite horizon optimal control is employed to obtain the optimal schedule of drug dose since the model is highly nonlinear and we want maximum performance for enhancing the immune response. From the simulation studies, we found that gradual reduction of drug dose is important for the optimality. We also demonstrate the obtained open-loop optimal control is vulnerable to parameter variation of the model and measurement noise. To overcome this difficulty, we finally present nonlinear receding horizon control to incorporate feedback in the drug treatment.

Keywords: Chemotherapy, HIV, optimal control, receding horizon control.

IJCAS
May 2024

Vol. 22, No. 5, pp. 1461~1759

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