Optimal control of the chemotherapy of HIV |
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Authors: | Denise Kirschner Suzanne Lenhart Steve Serbin |
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Affiliation: | (1) Department of Mathematics, Texas A and M University, College Station, TX 77843, USA e-mail: dek@math.tamu.edu, US;(2) Department of Mathematics, University of Tennessee at Knoxville, Knoxville, TN 37996, USA e-mails: lenhart@math.utk.edu; serbin@sugarbowl.math.utk.edu, US |
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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. Received 5 July 1995; received in revised form 3 June 1996 |
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Keywords: | : Chemotherapy HIV Optimal control Ordinary differential equation system |
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