A mathematical model for treatment-resistant mutations of HIV
In this paper, we propose and analyze a mathematical model,in the form of a system of ordinary differential equations, governingmutated strains of human immunodeficiency virus (HIV) and theirinteractions with the immune system and treatments. Our modelincorporates two types of resistant mutations: s...
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AIMS Press
2005-02-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.363 |
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| author | Helen Moore Weiqing Gu |
| author_facet | Helen Moore Weiqing Gu |
| author_sort | Helen Moore |
| collection | DOAJ |
| description | In this paper, we propose and analyze a mathematical model,in the form of a system of ordinary differential equations, governingmutated strains of human immunodeficiency virus (HIV) and theirinteractions with the immune system and treatments. Our modelincorporates two types of resistant mutations: strains that are notresponsive to protease inhibitors, and strains that are not responsiveto reverse transcriptase inhibitors. It also includes strains that do nothave either of these two types of resistance (wild-type virus) andstrains that have both types. We perform our analysis by changing thesystem of ordinary differential equations (ODEs) to a simplesingle-variable ODE, then identifying equilibria and determining stability.We carry out numerical calculations that illustrate the behavior of thesystem. We also examine the effects of various treatment regimens on thedevelopment of treatment-resistant mutations of HIV in this model. |
| format | Article |
| id | doaj-art-0bb9f6e8171d4387aa2c81c52c8b6af9 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2005-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-0bb9f6e8171d4387aa2c81c52c8b6af92025-01-24T01:48:05ZengAIMS PressMathematical Biosciences and Engineering1551-00182005-02-012236338010.3934/mbe.2005.2.363A mathematical model for treatment-resistant mutations of HIVHelen Moore0Weiqing Gu1American Institute of Mathematics, 360 Portage Avenue, Palo Alto, CA 94306Department of Mathematics, Harvey Mudd College, 1250 N. Dartmouth Avenue, Claremont, CA 91711In this paper, we propose and analyze a mathematical model,in the form of a system of ordinary differential equations, governingmutated strains of human immunodeficiency virus (HIV) and theirinteractions with the immune system and treatments. Our modelincorporates two types of resistant mutations: strains that are notresponsive to protease inhibitors, and strains that are not responsiveto reverse transcriptase inhibitors. It also includes strains that do nothave either of these two types of resistance (wild-type virus) andstrains that have both types. We perform our analysis by changing thesystem of ordinary differential equations (ODEs) to a simplesingle-variable ODE, then identifying equilibria and determining stability.We carry out numerical calculations that illustrate the behavior of thesystem. We also examine the effects of various treatment regimens on thedevelopment of treatment-resistant mutations of HIV in this model.https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.363differential equationshuman immunodeficiency virus (hiv)dynam-icsmathematical modelingtreatment-resistant mutations.t cells |
| spellingShingle | Helen Moore Weiqing Gu A mathematical model for treatment-resistant mutations of HIV Mathematical Biosciences and Engineering differential equations human immunodeficiency virus (hiv) dynam-ics mathematical modeling treatment-resistant mutations. t cells |
| title | A mathematical model for treatment-resistant mutations of HIV |
| title_full | A mathematical model for treatment-resistant mutations of HIV |
| title_fullStr | A mathematical model for treatment-resistant mutations of HIV |
| title_full_unstemmed | A mathematical model for treatment-resistant mutations of HIV |
| title_short | A mathematical model for treatment-resistant mutations of HIV |
| title_sort | mathematical model for treatment resistant mutations of hiv |
| topic | differential equations human immunodeficiency virus (hiv) dynam-ics mathematical modeling treatment-resistant mutations. t cells |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.363 |
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