Abstract
Acquired Immunodeficiency Syndrome (AIDS) is medically devastating to its victims and wreaks financial and emotional havoc on everyone, infected or not. The purpose of this chapter is to model and understand the behavior of the causative agent of AIDS—the Human Immunodeficiency Virus (HIV). This will necessitate discussions of viral replication and immunology. By the end of this chapter the student should have a firm understanding of the way that HIV functions and be able to apply that understanding to a mathematical treatment of HIV infection and epidemiology.
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References and Suggested Further Reading
Blood cells; immunity: William T. Keeton and James L. Gould, Biological Science, W.W. Norton and Company, New York, 5th ed., 1993.
Immunity: Special issue on the immune system: Scientific American, Vol. 269, No. 3, September, 1993.
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HIV and AIDS: Martin A. Nowak and Andrew J. McMichael, “How HIV Defeats the Immune System,” in Scientific American, Vol. 273, No. 2, page 58, August, 1995.
HIV and T cells: A. S. Perelson, Modeling the Interaction of thc Immune System with HIV, in Mathematical and Statistical Approaches to AIDS Epidemiology, edited by C. Castillo-Chavez, pp. 350–370. Lecture Notes in Biomath, Vol. 83, New York: Springer-Verlag, 1989.
HIV and T cells: A. S. Perelson, D. E. Kirschner and R. J. De Boer, The Dynamics of HIV Infection of CD4+ T Cells, Math. Biosci. 114, pp. 81–125, 1993.
HIV and Tcells: K. E. Kirschner and A. S. Perelson, A model for the immune system response to HIV: AZT treatment studies, in Mathematical Population Dynamics: Analysis of Heterogeneity and the Theory of Epidemics, O. Arino, D. E. Axelrod, M. Kimmel and M. Langlais, eds., Wuerz Publishing, Winnipeg, Canada, pp. 295–310...
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Mutations of HIV: Martin A. Nowak, Robert M. May and Roy M. Anderson, The evolutionary dynamics of HIV-I quasi species and the development of immunodeficiency disease, AIDS 1990 4, pp. 1095–1103, 1990.
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© 1996 Springer Science+Business Media New York
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Yeargers, E.K., Shonkwiler, R.W., Herod, J.V. (1996). A Biomathematical Approach to HIV and AIDS. In: An Introduction to the Mathematics of Biology: with Computer Algebra Models. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4757-1095-3_10
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DOI: https://doi.org/10.1007/978-1-4757-1095-3_10
Publisher Name: Birkhäuser, Boston, MA
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