Mathematical models have proven valuable in understanding the dynamics of HIV-1
infection in vivo. By comparing these models to data obtained from patients undergoing …

We examine a model for the interaction of HIV with CD4+ T cells that considers four
populations: uninfected T cells, latently infected T cells, actively infected T cells, and free …

Exploiting the fact that standard models of within-host viral infections of target cell
populations by HIV, developed by Perelson and Nelson [SIAM Rev., 41 (1999), pp. 3--44] …

During primary HIV infection the viral load in plasma increases, reaches a peak, and then
declines. Phillips has suggested that the decline is due to a limitation in the number of cells …

We review mathematical modeling and related statistical issues of HIV dynamics primarily in
response to antiretroviral drug therapy in this article. We start from a basic model of virus …

Studies of HIV dynamics in AIDS research are very important for understanding
pathogenesis of HIV infection and for assessing the potency of antiviral therapies. Since the …

The interactions between the human immune system and HIV are potentially complex. In this
paper I review some of these interactions and sketch the beginnings of a general model that …

Viral production from infected cells can occur continuously or in a burst that generally kills
the cell. For HIV infection, both modes of production have been suggested. Standard viral …

Highly active antiretroviral therapies consisting of reverse transcriptase inhibitor drugs and
protease inhibitor drugs, which can rapidly suppress HIV below the limit of detection, are …

Motivated by viral persistence in HIV+ patients on long-term anti-retroviral treatment (ART),
we present a stochastic model of HIV viral dynamics in the blood stream. We consider the …