Infection dynamics in HIV-specific CD4 T cells: Does a CD4 T cell boost benefit the host or the virus?
Catherine
Lloyd
Auckland Bioengineering Institute, The University of Auckland
Model Status
This CellML model is known to run in both PCEnv and COR to recreate the published results. The units have been checked and they are consistent. The published paper contains four different mathematical models. This particular CellML model represents the second model - which includes a description of the infectious spread of the virus amongst CD4+ T cells.
Model Structure
ABSTRACT: Recent experimental data have shown that HIV-specific CD4 T cells provide a very important target for HIV replication. We use mathematical models to explore the effect of specific CD4 T cell infection on the dynamics of virus spread and immune responses. Infected CD4 T cells can provide antigen for their own stimulation. We show that such autocatalytic cell division can significantly enhance virus spread, and can also provide an additional reservoir for virus persistence during anti-viral drug therapy. In addition, the initial number of HIV-specific CD4 T cells is an important determinant of acute infection dynamics. A high initial number of HIV-specific CD4 T cells can lead to a sudden and fast drop of the population of HIV-specific CD4 T cells which results quickly in their extinction. On the other hand, a low initial number of HIV-specific CD4 T cells can lead to a prolonged persistence of HIV-specific CD4 T cell help at higher levels. The model suggests that boosting the population of HIV-specific CD4 T cells can increase the amount of virus-induced immune impairment, lead to less efficient anti-viral effector responses, and thus speed up disease progression, especially if effector responses such as CTL have not been sufficiently boosted at the same time.
The original paper reference is cited below:
Infection dynamics in HIV-specific CD4 T cells: Does a CD4 T cell boost benefit the host or the virus?, Dominik Wodarz and Dean H. Hamer, 2007, Mathematical Biosciences PubMed ID: 17379260
A schematic diagram describing the mathematical model.
$\frac{d x}{d \mathrm{time}}=rxv(1.0-\frac{x+y}{k})-dx+\mathrm{beta}xv$
$\frac{d y}{d \mathrm{time}}=\mathrm{beta}xv+ryv(1.0-\frac{x+y}{k})-ay$
$\frac{d v}{d \mathrm{time}}=\mathrm{eta}y-uv$
Mathematical Biosciences2007-0217379260Infection dynamics in HIV-specific CD4 T cells: Does a CD4 T cell boost benefit the host or the virus?c.lloyd@auckland.ac.nzadded unitsCatherine LloydMayCatherineLloydCatherine Lloyd2007-07-16T00:00:00+00:00Infection dynamics in HIV-specific CD4 T cells: Does a CD4 T cell boost benefit the host or the virus (Model 2)The University of Auckland, Bioengineering InstituteHDeanHamerMayCatherineLloydxuninfected HIV-specific CD4+ T cellsvfree virus particlesyinfected HIV-specific CD4+ T cellsDominikWodarz2007-09-06T13:39:32+12:00The University of AucklandThe Bioengineering Institute
Wodarz and Hamer's 2007 mathematical model of infection dynamics in HIV-specific CD4+ T cells.
The model runs in PCEnv to replicate the published results.keywordThis is a CellML description of Wodarz and Hamer's 2007 mathematical model of infection dynamics in HIV-specific CD4+ T cells.immunologyHIVviral dynamicsCD4+ T cell