Optimal Treatment Strategies for HIV with Antibody Response
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 trea...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/685289 |
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| _version_ | 1832554866020450304 |
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| author | Yinggao Zhou Kuan Yang Kai Zhou Chunling Wang |
| author_facet | Yinggao Zhou Kuan Yang Kai Zhou Chunling Wang |
| author_sort | Yinggao Zhou |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-dbb26a51ae9e434daa0b5b719e1764ee |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-dbb26a51ae9e434daa0b5b719e1764ee2025-02-03T05:50:19ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/685289685289Optimal Treatment Strategies for HIV with Antibody ResponseYinggao Zhou0Kuan Yang1Kai Zhou2Chunling Wang3School of Mathematics and Statistics, Central South University, Changsha, Hunan 410083, ChinaSchool of Business Adminstration, Hunan University, Changsha, Hunan 410082, ChinaSchool of Mathematics and Statistics, Central South University, Changsha, Hunan 410083, ChinaSchool of Mathematics and Statistics, Central South University, Changsha, Hunan 410083, ChinaNumerical 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.http://dx.doi.org/10.1155/2014/685289 |
| spellingShingle | Yinggao Zhou Kuan Yang Kai Zhou Chunling Wang Optimal Treatment Strategies for HIV with Antibody Response Journal of Applied Mathematics |
| title | Optimal Treatment Strategies for HIV with Antibody Response |
| title_full | Optimal Treatment Strategies for HIV with Antibody Response |
| title_fullStr | Optimal Treatment Strategies for HIV with Antibody Response |
| title_full_unstemmed | Optimal Treatment Strategies for HIV with Antibody Response |
| title_short | Optimal Treatment Strategies for HIV with Antibody Response |
| title_sort | optimal treatment strategies for hiv with antibody response |
| url | http://dx.doi.org/10.1155/2014/685289 |
| work_keys_str_mv | AT yinggaozhou optimaltreatmentstrategiesforhivwithantibodyresponse AT kuanyang optimaltreatmentstrategiesforhivwithantibodyresponse AT kaizhou optimaltreatmentstrategiesforhivwithantibodyresponse AT chunlingwang optimaltreatmentstrategiesforhivwithantibodyresponse |