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

Abstract

The interactions between the human immune system and HIV are potentially complex. In this paper I review some of these interactions and sketch the beginnings of a general model that can potentially account for many of the immunological consequences of HIV infection. This model involves a large number of ordinary differential equations and many parameters. To make progress, I simplify the general model and develop a four-equation model that involves free HIV and uninfected, latently infected and actively infected CD4+ T cells. Using reasonable guesses for parameter values, I show that this model can account for some of the puzzling features of AIDS: the long latent period, the almost complete absence of free virus particles, the low frequency of infected T4 cells and the slow T cell depletion seen during the course of the disease. Further, the model suggests why the latent period may be significantly shorter in children than in adults.

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© 1989 Springer-Verlag Berlin Heidelberg

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Perelson, A.S. (1989). Modeling the Interaction of the Immune System with HIV. 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_17

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  • DOI: https://doi.org/10.1007/978-3-642-93454-4_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52174-7

  • Online ISBN: 978-3-642-93454-4

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