Hybrid optimal control for HIV multi-drug therapies: A finite set control transcription approach
In this study, the treatment of Human Immunodeficiency Virus (HIV) infection is investigated through an optimal structured treatment interruption (STI) schedule of two classes of antiretroviral drugs, mainly, reverse transcriptase inhibitors and protease inhibitors. An STI treatment strategy may be...
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AIMS Press
2012-09-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2012.9.899 |
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| author | Divya Thakur Belinda Marchand |
| author_facet | Divya Thakur Belinda Marchand |
| author_sort | Divya Thakur |
| collection | DOAJ |
| description | In this study, the treatment of Human Immunodeficiency Virus (HIV) infection is investigated through an optimal structured treatment interruption (STI) schedule of two classes of antiretroviral drugs, mainly, reverse transcriptase inhibitors and protease inhibitors. An STI treatment strategy may be beneficial in lowering the risk of HIV mutating to drug-resistant strains, and could provide patients with respite from toxic side effects of HAART. A shorter treatment period is considered compared to previous studies and the solution to the HIV STI problem is obtained via the Finite Set Control Transcription (FSCT) formulation. The FSCT formulation offers a unique approach for handling multiple independent decision variables simultaneously, and, as is shown by the results of this study, is well-suited for an effective treatment of the optimal STI problem. The results obtained in the present investigation demonstrate that immune boosting and subsequent natural suppression of the viral load are possible even when a reduced STI therapy treatment duration is in consideration. |
| format | Article |
| id | doaj-art-d24fa8d3856f4aba931740ac47847252 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2012-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-d24fa8d3856f4aba931740ac478472522025-01-24T02:07:06ZengAIMS PressMathematical Biosciences and Engineering1551-00182012-09-019489991410.3934/mbe.2012.9.899Hybrid optimal control for HIV multi-drug therapies: A finite set control transcription approachDivya Thakur0Belinda Marchand1Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin, TX 78712Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin, TX 78712In this study, the treatment of Human Immunodeficiency Virus (HIV) infection is investigated through an optimal structured treatment interruption (STI) schedule of two classes of antiretroviral drugs, mainly, reverse transcriptase inhibitors and protease inhibitors. An STI treatment strategy may be beneficial in lowering the risk of HIV mutating to drug-resistant strains, and could provide patients with respite from toxic side effects of HAART. A shorter treatment period is considered compared to previous studies and the solution to the HIV STI problem is obtained via the Finite Set Control Transcription (FSCT) formulation. The FSCT formulation offers a unique approach for handling multiple independent decision variables simultaneously, and, as is shown by the results of this study, is well-suited for an effective treatment of the optimal STI problem. The results obtained in the present investigation demonstrate that immune boosting and subsequent natural suppression of the viral load are possible even when a reduced STI therapy treatment duration is in consideration.https://www.aimspress.com/article/doi/10.3934/mbe.2012.9.899hybrid optimal controldrug therapystructured treatment interruption. |
| spellingShingle | Divya Thakur Belinda Marchand Hybrid optimal control for HIV multi-drug therapies: A finite set control transcription approach Mathematical Biosciences and Engineering hybrid optimal control drug therapy structured treatment interruption. |
| title | Hybrid optimal control for HIV multi-drug therapies: A finite set control transcription approach |
| title_full | Hybrid optimal control for HIV multi-drug therapies: A finite set control transcription approach |
| title_fullStr | Hybrid optimal control for HIV multi-drug therapies: A finite set control transcription approach |
| title_full_unstemmed | Hybrid optimal control for HIV multi-drug therapies: A finite set control transcription approach |
| title_short | Hybrid optimal control for HIV multi-drug therapies: A finite set control transcription approach |
| title_sort | hybrid optimal control for hiv multi drug therapies a finite set control transcription approach |
| topic | hybrid optimal control drug therapy structured treatment interruption. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2012.9.899 |
| work_keys_str_mv | AT divyathakur hybridoptimalcontrolforhivmultidrugtherapiesafinitesetcontroltranscriptionapproach AT belindamarchand hybridoptimalcontrolforhivmultidrugtherapiesafinitesetcontroltranscriptionapproach |