Dynamics of human T-cell lymphotropic virus I (HTLV-I) infection of CD4+ T-cells

Patricia Katri, Shigui Ruan

Research output: Contribution to journalArticle

17 Scopus citations

Abstract

Stilianakis and Seydel (Bull. Math. Biol., 1999) proposed an ODE model that describes the T-cell dynamics of human T-cell lymphotropic virus I (HTLV-I) infection and the development of adult T-cell leukemia (ATL). Their model consists of four components: uninfected healthy CD4+ T-cells, latently infected CD4+ T-cells, actively infected CD4+ T-cells, and ATL cells. Mathematical analysis that completely determines the global dynamics of this model has been done by Wang et al. (Math. Biosci., 2002). In this note, we first modify the parameters of the model to distinguish between contact and infectivity rates. Then we introduce a discrete time delay to the model to describe the time between emission of contagious particles by active CD4+ T-cells and infection of pure cells. Using the results in Culshaw and Ruan (Math. Biosci., 2000) in the analysis of time delay with respect to cell-free viral spread of HIV, we study the effect of time delay on the stability of the endemically infected equilibrium. Numerical simulations are presented to illustrate the results.

Original languageEnglish (US)
Pages (from-to)1009-1016
Number of pages8
JournalComptes Rendus - Biologies
Volume327
Issue number11
DOIs
StatePublished - Nov 1 2004

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Keywords

  • Basic reproduction number
  • HTLV-I infection
  • Intercellular delay
  • Stability

ASJC Scopus subject areas

  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)

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