Journal of Applied Mathematics

Optimal Treatment Strategies for HIV with Antibody Response

Yinggao Zhou, Kuan Yang, Kai Zhou, and Chunling Wang

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Abstract

Numerical analysis and optimization tools are used to suggest improved therapies to try and cure HIV infection. An HIV model of ordinary differential equation, which includes immune response, neutralizing antibodies, and multidrug effects, is improved. For a fixed time, single-drug and two-drug treatment strategies are explored based on Pontryagin’s maximum principle. Using different combinations of weight factor pairs combining with special upper-bound pairs for controls, nine types of treatment policies are determined and different therapy effects are numerically simulated with a gradient projection method. Some strategies are effective, but some strategies are not particularly helpful for the therapy of HIV/AIDS. Comparing the effective treatment strategies, we find a more appropriate strategy with maximizing the number of uninfected CD4+T-cells and minimizing the number of active virus.

Article information

Source
J. Appl. Math., Volume 2014 (2014), Article ID 685289, 13 pages.

Dates
First available in Project Euclid: 2 March 2015

Permanent link to this document
https://projecteuclid.org/euclid.jam/1425305897

Digital Object Identifier
doi:10.1155/2014/685289

Mathematical Reviews number (MathSciNet)
MR3232926

Citation

Zhou, Yinggao; Yang, Kuan; Zhou, Kai; Wang, Chunling. Optimal Treatment Strategies for HIV with Antibody Response. J. Appl. Math. 2014 (2014), Article ID 685289, 13 pages. doi:10.1155/2014/685289. https://projecteuclid.org/euclid.jam/1425305897


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