Article ID Journal Published Year Pages File Type
4635957 Applied Mathematics and Computation 2007 12 Pages PDF
Abstract

This paper presents a mathematical model which is in the form of a system of ordinary differential equations. These equations describe the dynamics of the immune system, human immunodeficiency virus (HIV), and drug-resistant mutants. We derive optimal treatment strategies for the HIV infection by formulating and then analyzing an optimal control problem with a structured treatment interruptions (STI) control approach. The continuous optimal treatment strategy is found by solving the corresponding optimality system. Moreover, using a direct search approach, a suboptimal STI in therapy is also obtained. We demonstrate, by numerical simulation, that the optimal treatment strategies reduce the mutant virus particles and increase the uninfected CD4+ T-cell count.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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