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Abstract
There is currently tremendous effort being directed at developing
potent, highly active antiretroviral therapies that can effectively control HIV-
1 infection without the need for continuous, lifelong use of these drugs. In
the ongoing search for powerful antiretroviral agents that can affect sustained
control for HIV infection, mathematical models can help in assessing both the
correlates of protective immunity and the clinical role of a given drug regimen as
well as in understanding the efficacy of drug therapies administered at different
stages of the disease. In this study, we develop a new mathematical model of
the immuno-pathogenesis of HIV-1 infection, which we use to assess virological
responses to both intracellular and extracellular antiretroviral drugs. We first
develop a basic mathematical model of the immuno-pathogenesis of HIV-1
infection 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-1
RNA to DNA within CD4+ T cells, and production of HIV-1 viral particles
within CD4+ T cells. Then we extend the basic model to incorporate the effect
of three major categories of anti-HIV-1 drugs: fusion/entry inhibitors (FIs),
reverse transcriptase inhibitors (RTIs), and protease inhibitors (PIs). Model
analysis establishes that the actual drug efficacy of FIs, γ and of PIs, κ is
the same as their effective efficacies while the effective drug efficacy for the
RTIs, 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 the
cytoplasm and that this effective efficacy is less than the actual efficacy, ε. Our
studies suggest that, of the three anti-HIV drug categories (FIs, RTIs, and
PIs), any drug combination of two drugs that includes RTIs is the weakest in
the control of HIV-1 infection.
Mathematics Subject Classification: 92D30.
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