A two-strain HIV-1 mathematical model to assess the effects of chemotherapy on disease parameters
Treatment of human immunodeficiency virus type 1 (HIV-1) infection during the symptomatic phase has significantly improved patient survival. We present a two-strain HIV mathematical model that captures the dynamics of the immune system and two HIV-1 variants under antiretroviral therapy. We explore...
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| Format: | Article |
| Language: | English |
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AIMS Press
2005-09-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.811 |
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| author | Tinevimbo Shiri Winston Garira Senelani D. Musekwa |
| author_facet | Tinevimbo Shiri Winston Garira Senelani D. Musekwa |
| author_sort | Tinevimbo Shiri |
| collection | DOAJ |
| description | Treatment of human immunodeficiency virus type 1 (HIV-1) infection during the symptomatic phase has significantly improved patient survival. We present a two-strain HIV mathematical model that captures the dynamics of the immune system and two HIV-1 variants under antiretroviral therapy. We explore the effects of chemotherapy on the dynamics of two viral strains and T lymphocytes with one mutant strain phenotypically resistant to drug effects. Model calculations show that there is a common pattern for CD4+ T cell count increase. There is a drastic increase of CD4+ T cells during the first few weeks of treatment, followed by a gradual increase, and these increases are strictly by clonal expansion of preexisting CD4+ T cells. Plasma HIV RNA dramatically decline to zero levels during the first week of drug administration. If drug efficacy is equal to or above a threshold efficacy, viral load remains at zero levels and if drug efficacy is less than the threshold efficacy, viral load gradually increases until it stabilizes. Viral rebound during treatment is entirely due to the recovery of CD4+ T cells. The results also reveal that there is a dynamic equilibrium between viral load and cytotoxic T lymphocyte (CTL) response in an infected individual during drug administration. |
| format | Article |
| id | doaj-art-2ba1eb16c94542ef8d27eebe4e8b5f20 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2005-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-2ba1eb16c94542ef8d27eebe4e8b5f202025-01-24T01:49:46ZengAIMS PressMathematical Biosciences and Engineering1551-00182005-09-012481183210.3934/mbe.2005.2.811A two-strain HIV-1 mathematical model to assess the effects of chemotherapy on disease parametersTinevimbo Shiri0Winston Garira1Senelani D. Musekwa2Department of Applied Mathematics, National University of Science and Technology, P-O Box AC939 Ascot, BulawayoDepartment of Applied Mathematics, National University of Science and Technology, PO Box AC939 Ascot, BulawayoDepartment of Applied Mathematics, National University of Science and Technology, P-O Box AC939 Ascot, BulawayoTreatment of human immunodeficiency virus type 1 (HIV-1) infection during the symptomatic phase has significantly improved patient survival. We present a two-strain HIV mathematical model that captures the dynamics of the immune system and two HIV-1 variants under antiretroviral therapy. We explore the effects of chemotherapy on the dynamics of two viral strains and T lymphocytes with one mutant strain phenotypically resistant to drug effects. Model calculations show that there is a common pattern for CD4+ T cell count increase. There is a drastic increase of CD4+ T cells during the first few weeks of treatment, followed by a gradual increase, and these increases are strictly by clonal expansion of preexisting CD4+ T cells. Plasma HIV RNA dramatically decline to zero levels during the first week of drug administration. If drug efficacy is equal to or above a threshold efficacy, viral load remains at zero levels and if drug efficacy is less than the threshold efficacy, viral load gradually increases until it stabilizes. Viral rebound during treatment is entirely due to the recovery of CD4+ T cells. The results also reveal that there is a dynamic equilibrium between viral load and cytotoxic T lymphocyte (CTL) response in an infected individual during drug administration.https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.811hiv-1viral loadmathematical modelchemotherapycytotoxic tlymphocytes. |
| spellingShingle | Tinevimbo Shiri Winston Garira Senelani D. Musekwa A two-strain HIV-1 mathematical model to assess the effects of chemotherapy on disease parameters Mathematical Biosciences and Engineering hiv-1 viral load mathematical model chemotherapy cytotoxic tlymphocytes. |
| title | A two-strain HIV-1 mathematical model to assess the effects of chemotherapy on disease parameters |
| title_full | A two-strain HIV-1 mathematical model to assess the effects of chemotherapy on disease parameters |
| title_fullStr | A two-strain HIV-1 mathematical model to assess the effects of chemotherapy on disease parameters |
| title_full_unstemmed | A two-strain HIV-1 mathematical model to assess the effects of chemotherapy on disease parameters |
| title_short | A two-strain HIV-1 mathematical model to assess the effects of chemotherapy on disease parameters |
| title_sort | two strain hiv 1 mathematical model to assess the effects of chemotherapy on disease parameters |
| topic | hiv-1 viral load mathematical model chemotherapy cytotoxic tlymphocytes. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.811 |
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