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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bulletin of the World Health Organization. (1987). 65, 453–463.
Cooper, L.N. (1986). Theory of an immune system retrovirus. Proc. Natl. Acad. Sci. (751,83,9159–9163.
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.
Karlin, S. and H.M. Taylor. (1975). A First Course in Stochastic Processes, 2nd ed. Academic Press, New York.
Kurtz, T.G. (1981). Approximation of Population Processes. Society for Industrial and Applied Mathematics, Philadelphia.
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.
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.
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.
Popovic, M. and S. Gartner. (1987). Isolation of HIV-1 from monocytes but not lymphocytes. Lancet, ii, 916.
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.
Redfield, R.R. and D.S. Burke. (1988). HIV infection: the clinical picture. Sci. American, 259, 90–98.
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.
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.
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.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
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
Download citation
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