A model of human immunodeficiency virus infection in T helper cell clones

Global Stability of the Viral Dynamics With Crowley-Martin Functional Response

“…The basic mathematical model of HIV pathogenesis in-host describes interactions of the immune system and the virus by including healthy and infected CD4 + T-cells and HIV virions [10,9,11,14,23]. A classic model for HIV dynamics was proposed by Perelson et al in [18,19] as follows:…”

Modeling Plasma Virus Concentration during Primary HIV Infection

“…Models of primary infection have also been developed by Phillips (1996), Nowak et al (1997a) and Murray et al (1998). In addition, numerous models have been proposed to capture many of the features of progression to AIDS following the initial viral spike (Reibnegger et al, 1989;Hraba et al, 1990;Nowak et al, 1990;McLean & Kirkwood, 1990;Nowak et al, 1991;McLean & Nowak, 1992, Perelson et al, 1993Essunger & Perelson, 1994;Schenzle et al, 1994;Stilianakis et al, 1997;Kirschner et al, 1998). A comprehensive model*one capable of predicting the spike, the asymptomatic phase, and progression to AIDS*is ultimately desired, but much can be learned by studying the early events.…”

Dynamics of HIV infection of CD4+ T cells

“…The model of Nowak and coworkers [47,48] looks at the effects of variability among viral strains. Deterministic models, such as the ones developed by Cooper [7], Intrator et al [30], McLean [38], McLean and Kirkwood [39], Reibnegger et al [54], Doleial and Hraba [10,28], Hraba et al [29], Fletcher et al [16], Anderson and May [4], and Perelson [49], examine the changes in mean cell numbers and are more applicable to later stages of the process in which population sizes are large. These models typically consider the dynamics of the CD4+ helper and virus populations.…”