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Modelling the interaction of T-Cells, antigen presenting cells, and HIV-1 in vivo
- Source :
-
Computers & Mathematics with Applications . Jul2004, Vol. 48 Issue 1/2, p9-33. 25p. - Publication Year :
- 2004
-
Abstract
- Abstract: We develop and analyze a model for the interactions of T-cells, antigen presenting cells (APCs), and HIV-1. Our model consists of five components: APCs, resting helper T-cells, activated uninfected helper T-cells, activated and infected helper T-cells, and the free virus. We emphasize the impact of APCs during HIV infection and the cell-to-cell contact manner in the transference of HIV-1 in vivo. The existence and stability of the uninfected steady state and those of the infected steady states are discussed. The uniform persistence of the system is also obtained. As a novel approach, multiple exposures of HIV-1 are illustrated and discussed in the paper. Through numerical stimulations, we check the sensitivity of APCs and helper T-cells in impacting the infection outcome and obtain some relevant results. We also give the lowest infectioe dose for certain individuals. [Copyright &y& Elsevier]
- Subjects :
- *T cells
*LYMPHOCYTES
*ANTIGENS
*IMMUNITY
*BIOLOGY
Subjects
Details
- Language :
- English
- ISSN :
- 08981221
- Volume :
- 48
- Issue :
- 1/2
- Database :
- Academic Search Index
- Journal :
- Computers & Mathematics with Applications
- Publication Type :
- Academic Journal
- Accession number :
- 15446921
- Full Text :
- https://doi.org/10.1016/j.camwa.2004.04.031