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Modeling the Interaction of HIV with Cells of the Immune System

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Mathematical and Statistical Approaches to AIDS Epidemiology

Part of the book series: Lecture Notes in Biomathematics ((LNBM,volume 83))

Abstract

Several mathematical models describing the interaction of HIV with T4 lymphocytes and macrophages are presented. The primary problems addressed involve the decline of immunocompetence as mirrored by the T4 cell number, the role of macrophages in the disease process, the interaction in early stages of AIDS, and the fraction of infected circulating T4 cells.

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References

  • Bulletin of the World Health Organization. (1987). 65, 453–463.

    Google Scholar 

  • Cooper, L.N. (1986). Theory of an immune system retrovirus. Proc. Natl. Acad. Sci. (751,83,9159–9163.

    Article  Google Scholar 

  • Intrator, N., G.P. Deocampo and L.N. Cooper. (1988). Analysis of immune system retrovirus equations. In Theoretical Immunology, part two, A. S. Perelson (ed.). pp.85–100. Addison-Wesley, New York.

    Google Scholar 

  • Karlin, S. and H.M. Taylor. (1975). A First Course in Stochastic Processes, 2nd ed. Academic Press, New York.

    MATH  Google Scholar 

  • Kurtz, T.G. (1981). Approximation of Population Processes. Society for Industrial and Applied Mathematics, Philadelphia.

    Book  Google Scholar 

  • McLean, Angela. (1988). HIV infection from an ecological viewpoint. In Theoretical Immunology, part two. A. S. Perelson (ed.). pp.77–84. Addison-Wesley, New York.

    Google Scholar 

  • Merrill, Stephen J.(1988). AIDS: Background and the dynamics of the decline of immunocompetence. In Theoretical Immunology, part two, A. S. Perelson (ed.). pp. 59–75. Addison-Wesley, New York.

    Google Scholar 

  • Orenstein, J.M., M.S. Melter, T. Phipps and H.F. Gendelman. (1988). Cytoplasmic assembly and accumulation of Human Immunodeficiency Virus types 1 and 2 in recombinant human colony-stimulating factor-1-treated human monocytes: an ultrastructural study. J. Virol., 62, 2578–2586.

    Google Scholar 

  • Popovic, M. and S. Gartner. (1987). Isolation of HIV-1 from monocytes but not lymphocytes. Lancet, ii, 916.

    Article  Google Scholar 

  • Quinn, T.C., P. Piot, J.B. McCormick, F.M. Feinsod, H. Taelman, B. Kapita, W. Stevens and A.S. Fauci. (1987). Serologic and immunologic studies in patients with AIDS in North America and Africa: the potential role of infectious agents as cofactors in human immunodeficiency virus infection. Jour. Am. Med. Assoc, 257, 2617–2621.

    Article  Google Scholar 

  • Redfield, R.R. and D.S. Burke. (1988). HIV infection: the clinical picture. Sci. American, 259, 90–98.

    Article  Google Scholar 

  • Reibnegger, G., D. Fuchs, A. Hausen, E.R. Werner, M.P. Dierich and H. Wächter. (1987). Theoretical implications of cellular immune reactions against helper lymphocytes infected by an immune system retrovirus. Proc. Natl. Acad. Sci. USA, 84, 7270–7274.

    Article  Google Scholar 

  • Reibnegger, G., D. Fuchs, A. Hausen, E.R. Werner, G. Werner-Felmayer, M.P. Dierich and H. Wachter.(1989). Stability analysis of simple models for immune cells interacting with normal pathogens and immune system retroviruses. Proc. Natl. Acad. Sci. USA, to appear.

    Google Scholar 

  • Wofsey, C. (Lipow).(1980). Behavior of limiting diffusions for density-dependent branching processes. In Biological Growth and Spread, W. Jäger, H. Rost, P. Tautu (eds.), pp.36–49. Springer-Verlag, Berlin.

    Google Scholar 

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© 1989 Springer-Verlag Berlin Heidelberg

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Merrill, S.J. (1989). Modeling the Interaction of HIV with Cells of the Immune System. In: Castillo-Chavez, C. (eds) Mathematical and Statistical Approaches to AIDS Epidemiology. Lecture Notes in Biomathematics, vol 83. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93454-4_18

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  • DOI: https://doi.org/10.1007/978-3-642-93454-4_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52174-7

  • Online ISBN: 978-3-642-93454-4

  • eBook Packages: Springer Book Archive

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