Dynamic Multidrug Therapies for HIV: Optimal and STI Control Approaches
We formulate a dynamic mathematical model that describes theinteraction of the immune system with the human immunodeficiencyvirus (HIV) and that permits drug ''cocktail'' therapies. Wederive HIV therapeutic strategies by formulating and analyzing anoptimal control problem using t...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2004-06-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2004.1.223 |
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| Summary: | We formulate a dynamic mathematical model that describes theinteraction of the immune system with the human immunodeficiencyvirus (HIV) and that permits drug ''cocktail'' therapies. Wederive HIV therapeutic strategies by formulating and analyzing anoptimal control problem using two types of dynamic treatmentsrepresenting reverse transcriptase (RT) inhibitors and proteaseinhibitors (PIs). Continuous optimal therapies are found bysolving the corresponding optimality systems. In addition, usingideas from dynamic programming, we formulate and derive suboptimalstructured treatment interruptions (STI) in antiviral therapy thatinclude drug-free periods of immune-mediated control of HIV. Ournumerical results support a scenario in which STI therapies canlead to long-term control of HIV by the immune response systemafter discontinuation of therapy. |
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| ISSN: | 1551-0018 |