Population dynamics of immune responses to persistent viruses
Ethan
Choi
Bioengineering Institute, University of Auckland
Model Status
This model has been built with the differential expressions in Nowak's 1996 paper for population dynamics of immune responses to persistent viruses and is known to run in PCEnv and COR. The units have been checked and they are consistent. This particular CellML model is the 1st model out of the 3 outlined in the paper. Note that the figures in the paper display the logged varibale values, and also certain parameters are unspecified and are left for the modeller to decide. Current parameterization portrays the interaction of uninfected cells x, infected cells y, and free virus particles v (model 1).
Model Structure
Abstract: Mathematical models, which are based on a firm understanding of biological interactions, can provide nonintuitive insights into the dynamics of host responses to infectious agents and can suggest new avenues for experimentation. Here, a simple mathematical approach is developed to explore the relation between antiviral immune responses, virus load, and virus diversity. The model results are compared to data on cytotoxic T cell responses and viral diversity in infections with the human T cell leukemia virus (HTLV-1) and the human immunodeficiency virus (HIV-1).
Population dynamics of immune responses to persistent viruses, Nowak, MA and Bangham, CR, 1996, Science
, 272, 74-79 PubMed ID: 8600540
Model Diagram
Schematic diagram of a model for virus-CTL interaction.
This component stores information related to the uninfected cell population
uninfected cells
$\frac{d x}{d \mathrm{time}}=\mathrm{lambda}-dx-\mathrm{beta}xv$
This component stores information related to the infected cell population
infected cells
$\frac{d y}{d \mathrm{time}}=\mathrm{beta}xv-ay$
This component stores information related to the population of free virus particles
free virus particles
$\frac{d v}{d \mathrm{time}}=ky-uv$
keyword
M
R
Bangham
Charles
1996-04-05
30.0
10000
A
Nowak
Martin
virus load
HTLV-1
HIV-1
CTL
mutation
antiviral immune response
immunology
viral diversity
mcho099@aucklanduni.ac.nz
Science
Population dynamics of immune responses to persistent viruses (Model 1)
Choi
Ethan
Auckland Bioengineering Institute
The University of Auckland
8600540
2009-12-22
74
79
Population dynamics of immune responses to persistent viruses
272