Optimizing Chemotherapy in an HIV Model
Date
1998-12-04
Authors
Fister, K. Renee
Lenhart, Suzanne
McNally, Joseph Scott
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We examine an ordinary differential system modeling the interaction of the HIV virus and the immune system of the human body. The optimal control represents a percentage effect the chemotherapy has on the interaction of the CD4+T cells with the virus. We maximize the benefit based on the T cell count and minimize the systemic cost based on the percentage of chemotherapy given. Existence of an optimal control is proven, and the optimal control is uniquely characterized in terms of the solution of the optimality system, which is the state system coupled with the adjoint system. In addition, numerical examples are given for illustration.
Description
Keywords
Chemotherapy, HIV, Optimal control
Citation
Fister, K. R., Lenhart, S. & McNally, J. S. (1998). Optimizing chemotherapy in an HIV model. <i>Electronic Journal of Differential Equations, 1998</i>(32), pp. 1-12.
Rights
Attribution 4.0 International