Modelling the immunopathogenesis of HIV-1 infection and the effect of multidrug therapy: The role of fusion inhibitors in HAART

There is currently tremendous effort being directed at developingpotent, highly active antiretroviral therapies that can effectively control HIV-1 infection without the need for continuous, lifelong use of these drugs. Inthe ongoing search for powerful antiretroviral agents that can affect sustained...

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Main Authors: Gesham Magombedze, Winston Garira, Eddie Mwenje
Format: Article
Language:English
Published: AIMS Press 2008-05-01
Series:Mathematical Biosciences and Engineering
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Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.485
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author Gesham Magombedze
Winston Garira
Eddie Mwenje
author_facet Gesham Magombedze
Winston Garira
Eddie Mwenje
author_sort Gesham Magombedze
collection DOAJ
description There is currently tremendous effort being directed at developingpotent, highly active antiretroviral therapies that can effectively control HIV-1 infection without the need for continuous, lifelong use of these drugs. Inthe ongoing search for powerful antiretroviral agents that can affect sustainedcontrol for HIV infection, mathematical models can help in assessing both thecorrelates of protective immunity and the clinical role of a given drug regimen aswell as in understanding the efficacy of drug therapies administered at differentstages of the disease. In this study, we develop a new mathematical model ofthe immuno-pathogenesis of HIV-1 infection, which we use to assess virologicalresponses to both intracellular and extracellular antiretroviral drugs. We firstdevelop a basic mathematical model of the immuno-pathogenesis of HIV-1infection that incorporates three distinct stages in the infection cycle of HIV-1:entry of HIV-1 into the cytoplasm of CD4+ T cells, transcription of HIV-1RNA to DNA within CD4+ T cells, and production of HIV-1 viral particleswithin CD4+ T cells. Then we extend the basic model to incorporate the effectof three major categories of anti-HIV-1 drugs: fusion/entry inhibitors (FIs),reverse transcriptase inhibitors (RTIs), and protease inhibitors (PIs). Modelanalysis establishes that the actual drug efficacy of FIs, γ and of PIs, κ isthe same as their effective efficacies while the effective drug efficacy for theRTIs, γ εis dependent on the rate of transcription of the HIV-1 RNA to DNA,and the lifespan of infected CD4+ T cells where virions have only entered thecytoplasm and that this effective efficacy is less than the actual efficacy, ε. Ourstudies suggest that, of the three anti-HIV drug categories (FIs, RTIs, andPIs), any drug combination of two drugs that includes RTIs is the weakest inthe control of HIV-1 infection.
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spelling doaj-art-17072a2f05484b828a1106934977d2df2025-01-24T01:58:23ZengAIMS PressMathematical Biosciences and Engineering1551-00182008-05-015348550410.3934/mbe.2008.5.485Modelling the immunopathogenesis of HIV-1 infection and the effect of multidrug therapy: The role of fusion inhibitors in HAARTGesham Magombedze0Winston Garira1Eddie Mwenje2Department of Applied Mathematics, National University of Science and Technology, PO 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, PO Box AC939 Ascot, BulawayoThere is currently tremendous effort being directed at developingpotent, highly active antiretroviral therapies that can effectively control HIV-1 infection without the need for continuous, lifelong use of these drugs. Inthe ongoing search for powerful antiretroviral agents that can affect sustainedcontrol for HIV infection, mathematical models can help in assessing both thecorrelates of protective immunity and the clinical role of a given drug regimen aswell as in understanding the efficacy of drug therapies administered at differentstages of the disease. In this study, we develop a new mathematical model ofthe immuno-pathogenesis of HIV-1 infection, which we use to assess virologicalresponses to both intracellular and extracellular antiretroviral drugs. We firstdevelop a basic mathematical model of the immuno-pathogenesis of HIV-1infection that incorporates three distinct stages in the infection cycle of HIV-1:entry of HIV-1 into the cytoplasm of CD4+ T cells, transcription of HIV-1RNA to DNA within CD4+ T cells, and production of HIV-1 viral particleswithin CD4+ T cells. Then we extend the basic model to incorporate the effectof three major categories of anti-HIV-1 drugs: fusion/entry inhibitors (FIs),reverse transcriptase inhibitors (RTIs), and protease inhibitors (PIs). Modelanalysis establishes that the actual drug efficacy of FIs, γ and of PIs, κ isthe same as their effective efficacies while the effective drug efficacy for theRTIs, γ εis dependent on the rate of transcription of the HIV-1 RNA to DNA,and the lifespan of infected CD4+ T cells where virions have only entered thecytoplasm and that this effective efficacy is less than the actual efficacy, ε. Ourstudies suggest that, of the three anti-HIV drug categories (FIs, RTIs, andPIs), any drug combination of two drugs that includes RTIs is the weakest inthe control of HIV-1 infection.https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.485mathematical modelling.human immunodeficiency virus (hiv)highly active antiretroviral therapy (haart)fusioninhibitors (fis)
spellingShingle Gesham Magombedze
Winston Garira
Eddie Mwenje
Modelling the immunopathogenesis of HIV-1 infection and the effect of multidrug therapy: The role of fusion inhibitors in HAART
Mathematical Biosciences and Engineering
mathematical modelling.
human immunodeficiency virus (hiv)
highly active antiretroviral therapy (haart)
fusioninhibitors (fis)
title Modelling the immunopathogenesis of HIV-1 infection and the effect of multidrug therapy: The role of fusion inhibitors in HAART
title_full Modelling the immunopathogenesis of HIV-1 infection and the effect of multidrug therapy: The role of fusion inhibitors in HAART
title_fullStr Modelling the immunopathogenesis of HIV-1 infection and the effect of multidrug therapy: The role of fusion inhibitors in HAART
title_full_unstemmed Modelling the immunopathogenesis of HIV-1 infection and the effect of multidrug therapy: The role of fusion inhibitors in HAART
title_short Modelling the immunopathogenesis of HIV-1 infection and the effect of multidrug therapy: The role of fusion inhibitors in HAART
title_sort modelling the immunopathogenesis of hiv 1 infection and the effect of multidrug therapy the role of fusion inhibitors in haart
topic mathematical modelling.
human immunodeficiency virus (hiv)
highly active antiretroviral therapy (haart)
fusioninhibitors (fis)
url https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.485
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