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Mathematical Models of HIV Replication and Pathogenesis

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First Online:
Part of the Methods in Molecular Biology book series (MIMB, volume 1184)

Abstract

This review outlines how mathematical models have been helpful, and continue to be so, for obtaining insights into the in vivo dynamics of HIV infection. The review starts with a discussion of a basic mathematical model that has been frequently used to study HIV dynamics. Some crucial results are described, including the estimation of key parameters that characterize the infection, and the generation of influential theories which argued that in vivo virus evolution is a key player in HIV pathogenesis. Subsequently, more recent concepts are reviewed that have relevance for disease progression, including the multiple infection of cells and the direct cell-to-cell transmission of the virus through the formation of virological synapses. These are important mechanisms that can influence the rate at which HIV spreads through its target cell population, which is tightly linked to the rate at which the disease progresses towards AIDS.

Key words

Mathematical models Virus dynamics Evolution Multiple infection of cells Cell-to-cell transmission Virological synapse 
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© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Department of Ecology and Evolutionary BiologyUniversity of CaliforniaIrvineUSA

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