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Optimal control of the chemotherapy of HIV

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Abstract.

 Using an existing ordinary differential equation model which describes the interaction of the immune system with the human immunodeficiency virus (HIV), we introduce chemotherapy in an early treatment setting through a dynamic treatment and then solve for an optimal chemotherapy strategy. The control represents the percentage of effect the chemotherapy has on the viral production. Using an objective function based on a combination of maximizing benefit based on T cell counts and minimizing the systemic cost of chemotherapy (based on high drug dose/strength), we solve for the optimal control in the optimality system composed of four ordinary differential equations and four adjoint ordinary differential equations.

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Received 5 July 1995; received in revised form 3 June 1996

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Kirschner, D., Lenhart, S. & Serbin, S. Optimal control of the chemotherapy of HIV. J Math Biol 35, 775–792 (1997). https://doi.org/10.1007/s002850050076

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  • DOI: https://doi.org/10.1007/s002850050076

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