International Journal of Control, Automation, and Systems

  • 제1권3호
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  • Pages.282-288
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  • 2003
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  • 1598-6446(pISSN)
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  • 2005-4092(eISSN)
제어로봇시스템학회 (Institute of Control, Robotics and Systems)
권호 표지

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

  • 발행 : 2003.09.01
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초록

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.

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참고문헌

  1. Vaccine v.20 Effector cytotoxic T lymphocyte numbers induced by vaccination should exceed levels in chronic infection for protection from HIV H. K. Altes;D. A. Price;V. A. Jansen
  2. IEEE Trans. on Biomedical Engineering v.48 no.7 Feedback control of a biodynamical model of HIV-1 M. E. Brandt;G. Chen
  3. Dynamic Optimization A. E. Bryson
  4. Proc. of Conference on Decision and Control Optimal control theory applied to the anti-viral treatment of AIDS J. A. M. Felippe de Souza;M. A. L. Caetano;T. Yoneyama
  5. Proc. of American Control Conference Model predictive control when a local control Lyapunov function is not available G. Grimm;M. J. Messina;A. R. Teel;S. Tuna
  6. J. of Mathematical Biology v.35 Optimal control of the chemotherapy of HIV D. Kirschner;S. Lenhart;S. Serbin
  7. CRSC Technical Report (CRSC-TRO1-27) Modeling control of HIV infection through structured treatment interruptions with recommendations for experimental protocol S. Kubiak;H. Lehr;R. Levy;T. Moeller;A. Parker;E. Swim
  8. Proc. of American Control Conference Optimal control of HIV infection with a continuously-mutating viral population J. J. Kutch;P. Gurfil
  9. Proc. of American Control Conference On optimal controls for a general mathematical model for chemotherapy of HIV U. Ledzewicz;H. Schattler
  10. Automatica v.36 Constrained model predictive control: stability and optimality D. Mayne;J. B. Rawlings;C. V. Rao;P. Scokaert
  11. Virus Dynamics M. A. Nowak;R. M. May
  12. Divisions of HIV/AIDS Prevention, Centers for Disease Control and Prevention
  13. Proc. of 22nd Annual EMBS International Conference A model for continuously mutant HIV- 1 H. Ortega;M. Martin-Landrove
  14. SIAM Review v.41 no.1 Mathematical analysis of HIV-1 dynamics in vivo A. S. Perelson;P. W. Nelson
  15. Ph.D Dissertation, Univ. of California, Berkeley Theory and implementation of numerical methods based on Runge-Kutta integration for solving optimal control problems A. Schwartz
  16. Proc. of American Control Conference Optimal control of a viral disease R. F. Stengel;R. Ghigliazza;N. Kulkarni;O. Laplace
  17. J. of Theoretical Biology v.185 Dynamic multidrug therapies for HIV: A control theoretic approach L. M. Wein;S. A. Zenios;M. A. Nowak
  18. Proc. of National Academy Science v.96 no.25 Specific therapy regimes could lead to long-term immunological control of HIV D. Wodarz;M. A. Nowak
  19. J. of Theoretical Biology v.213 Helper-dependent vs. helperindependent CTL responses in HIV infection: implications for drug therapy and resistance D. Wodarz
  20. BioEssays v.24 Mathematical models of HIV pathogenesis and treatment D. Wodarz;M. A. Nowak
  21. Proc. of American Control Conference Enhancing immune response to HIV infection using MPC-based treatment scheduling R. Zurakowski;A. R. Teel