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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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We consider a model of HIV infection with various compartments, including target cells, infected cells, viral loads and immune effector cells, to describe HIV type 1 infection. We show that the proposed model has one uninfected steady state and several infected steady states and investigate their local stability by using a Jacobian matrix method. We obtain equations for adjoint variables and characterize an optimal control by applying Pontryagin’s Maximum Principle in a linear control problem. In addition, we apply techniques and ideas from linear optimal control theory in conjunction with a direct search approach to derive on-off HIV therapy strategies. The results of numerical simulations indicate that hybrid on-off therapy protocols can move the model system to a “healthy” steady state in which the immune response is dominant in controlling HIV after the discontinuation of the therapy.
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참고문헌 (26)
참고문헌 신청
A. Carr / 2000 / Adverse effects of antiretroviral therapy / Lancet 356 : 1423 ~ 1430
B. J¨ulg / 2006 / Treatment interruption in HIV therapy: A SMART Strategy? / Infection 34 : 186 ~ 288
B. M. Adams / 2004 / Dynamic multidrug therapies for HIV: Optimal and STI control approaches / Math. Biosci. Eng 1 (2) : 223 ~ 241
B. M. Adams / 2005 / HIV dynamics: Modeling, data analysis, and optimal treatment protocols / J. Comput. Appl. Math 184 (1) : 10 ~ 49
D. Kirschner / 1997 / Optimal control of the chemotherapy of HIV / J. Math. Bio 35 (7) : 775 ~ 792
B. J¨ulg / 2006 / Treatment interruption in HIV therapy: A SMART Strategy? / Infection 34 : 186 ~ 288
B. M. Adams / 2004 / Dynamic multidrug therapies for HIV: Optimal and STI control approaches / Math. Biosci. Eng 1 (2) : 223 ~ 241
B. M. Adams / 2005 / HIV dynamics: Modeling, data analysis, and optimal treatment protocols / J. Comput. Appl. Math 184 (1) : 10 ~ 49
D. Kirschner / 1997 / Optimal control of the chemotherapy of HIV / J. Math. Bio 35 (7) : 775 ~ 792
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