Specific therapy regimes could lead to long-term immunological control of HIV
Catherine
Lloyd
Auckland Bioengineering Institute, The University of Auckland
Model Status
This CellML model runs in OpenCell to replicate the graphs in Figure 1 (i) and (ii) in the original paper. The units have been checked and they are consistent. The CellML model also runs in COR, but due time being expressed in days, the model is not really suitable for simulation in COR (where time is expressed in milliseconds).
Model Structure
ABSTRACT: We use mathematical models to study the relationship between HIV and the immune system during the natural course of infection and in the context of different antiviral treatment regimes. The models suggest that an efficient cytotoxic T lymphocyte (CTL) memory response is required to control the virus. We define CTL memory as long-term persistence of CTL precursors in the absence of antigen. Infection and depletion of CD4(+) T helper cells interfere with CTL memory generation, resulting in persistent viral replication and disease progression. We find that antiviral drug therapy during primary infection can enable the development of CTL memory. In chronically infected patients, specific treatment schedules, either including deliberate drug holidays or antigenic boosts of the immune system, can lead to a re-establishment of CTL memory. Whether such treatment regimes would lead to long-term immunologic control deserves investigation under carefully controlled conditions.
The original paper reference is cited below:
Specific therapy regimes could lead to long-term immunological control of HIV, Dominik Wodarz and Martin A. Nowak, 1999,Proceedings of the National Academy of Sciences, USA, 96, 14464-14469. PubMed ID: 10588728
cell diagram
Schematic diagram of a model of the interaction between HIV and the immune system.
$\frac{d x}{d \mathrm{time}}=\mathrm{lamda}-dx+s\mathrm{beta}xy$
$\frac{d y}{d \mathrm{time}}=s\mathrm{beta}xy-ay+pyz\mathrm{log\_y}=\lg (y\times 1)$
$\frac{d w}{d \mathrm{time}}=cxyw-cqyw+bw\mathrm{log\_w}=\lg (w\times 1)$
$\frac{d z}{d \mathrm{time}}=cqyw-hz$
$s=\begin{cases}1 & \text{if $\mathrm{time}\le 15$}\\ 1 & \text{if $\mathrm{time}\ge 40$}\\ 0.0042 & \text{otherwise}\end{cases}$
Proceedings of the National Academy of Science, USA
xuninfected CD4 T cellskeywordANowakMartinwcytotoxic T lymphocyte precursors2003-12-10WodarzDominikzCTL effectors1999-12-0710588728pharmacologyimmunologyhiv-1viral dynamicsc.lloyd@auckland.ac.nz300MayLloydCatherineThe University of AucklandAuckland Bioengineering Institute
This is the CellML description of Wodarz and Nowak's 1999 mathematical model of immunological control of HIV.
The University of Auckland, Bioengineering Institute
Specific therapy regimes could lead to long-term immunological
control of HIV
144649614469yinfected CD4 T cells
Wodarz and Nowak's 1999 mathematical model of immunological control of
HIV.
Catherine Lloyd