Model-Based Analysis of CD4+ Lymphocyte Dynamics In HIV Infected Individuals

Dynamics of HIV infection of CD4+ T cells

“…Here, to avoid solving transcendental equations to find the steady state, we shall assume that s(v) = Os /(0 + v). (29) If v = 0, then s is a constant as in Equation (1). However, if the viral load increases to the point that v = 0, then s is decreased to half its normal value.…”

“…However, because AZT becomes cytotoxic at high doses, partial blockage is the more likely outcome of AZT treatment. Figure 4 is illustrated, except here the source term s decreases with the viral load according to Equation (29) with 0 = 1 mm-3. Parameters are as in Table 1; Arcrit = 774 and N =1000 (*), 1200 (0), 1400 (0).…”

“…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.…”

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.…”

On the global dynamics of the cancer AIDS-related mathematical model

“…During more than 20 years efforts of many researchers have been aimed for a creation of various mathematical models describing interactions of the immune system and HIV. A brief list is [1,2,10]. Nowadays a number of publications is devoted to studies of dynamics of deterministic cancer tumor growth models in case when the immune system of a patient is attacked by HIV, see, for example, [7,8,9,19,20].…”