Mathematical analysis of the global dynamics of a model for HTLV-I infection and ATL progression
dc.contributor.author | Wang, Liancheng | |
dc.contributor.author | Li, Michael Y. | |
dc.contributor.author | Kirschner, Denise E. | |
dc.date.accessioned | 2011-04-04T15:25:00Z | |
dc.date.accessioned | 2011-04-04T15:25:00Z | |
dc.date.available | 2011-04-04T15:25:00Z | en_US |
dc.date.issued | 2002-01-31 | |
dc.identifier.citation | Mathematical Biosciences 179 (2002) 207–217 <http://hdl.handle.net/2027.42/83423> | en_US |
dc.identifier.uri | http://www.ncbi.nlm.nih.gov/pubmed/12208616 | |
dc.identifier.uri | https://hdl.handle.net/2027.42/83423 | |
dc.description.abstract | Mathematical analysis is carried out that completely determines the global dynamics of a mathematical model for the transmission of human T-cell lymphotropic virus I (HTLV-I) infection and the development of adult T-cell leukemia (ATL). HTLV-I infection of healthy CD4+ T cells takes place through cell-to-cell contact with infected T cells. The infected T cells can remain latent and harbor virus for several years before virus production occurs. Actively infected T cells can infect other T cells and can convert to ATL cells, whose growth is assumed to follow a classical logistic growth function. Our analysis establishes that the global dynamics of T cells are completely determined by a basic reproduction number R0. If R0 <= 1, infected T cells always die out. If R0 > 1, HTLV-I infection becomes chronic, and a unique endemic equilibrium is globally stable in the interior of the feasible region. We also show that the equilibrium level of ATL-cell proliferation is higher when the HTLV-I infection of T cells is chronic than when it is acute. | en_US |
dc.language.iso | en_US | en_US |
dc.publisher | Elsevier Science Inc. | en_US |
dc.subject | Immunological Models | en_US |
dc.subject | Chronic HTLV-I Infection | en_US |
dc.subject | Adult T-cell Leukemia | en_US |
dc.subject | Basic Reproduction Number | en_US |
dc.subject | Global Stability | en_US |
dc.title | Mathematical analysis of the global dynamics of a model for HTLV-I infection and ATL progression | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Microbiology and Immunology | |
dc.subject.hlbtoplevel | Health Sciences | |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Microbiology and Immunology, Department of | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.identifier.pmid | 12208616 | |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/83423/1/wang2002.pdf | |
dc.identifier.source | Mathematical Biosciences | en_US |
dc.owningcollname | Microbiology and Immunology, Department of |
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