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Backward bifurcation in a model for HTLV-I infection of CD4+ T cells
- Source :
- Bulletin of Mathematical Biology; Jan2005, Vol. 67 Issue 1, p101-114, 14p
- Publication Year :
- 2005
-
Abstract
- Abstract: Human T-cell Lymphotropic Virus Type I (HTLV-I) primarily infects CD4<superscript>+</superscript> helper T cells. HTLV-I infection is clinically linked to the development of Adult T-cell Leukemia/Lymphoma and of HTLV-I Associated Myelopathy/Tropical Spastic Paraparesis, among other illnesses. HTLV-I transmission can be either horizontal through cell-to-cell contact, or vertical through mitotic division of infected CD4<superscript>+</superscript> T cells. It has been observed that HTLV-I infection has a high proviral load but a low rate of proviral genetic variation. This suggests that vertical transmission through mitotic division of infected cells may play an important role. We consider and analyze a mathematical model for HTLV-I infection of CD4<superscript>+</superscript> T cells that incorporates both horizontal and vertical transmission. Among interesting dynamical behaviors of the model is a backward bifurcation which raises many new challenges to effective infection control. [Copyright &y& Elsevier]
- Subjects :
- HTLV
T cells
LEUKEMIA
RETROVIRUSES
Subjects
Details
- Language :
- English
- ISSN :
- 00928240
- Volume :
- 67
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Bulletin of Mathematical Biology
- Publication Type :
- Academic Journal
- Accession number :
- 16292177
- Full Text :
- https://doi.org/10.1016/j.bulm.2004.06.004