Computational and Mathematical Methods in Medicine

Computational and Mathematical Methods in Medicine / 2002 / Article

Open Access

Volume 4 |Article ID 868901 | https://doi.org/10.1080/1027366031000088438

D. P. Wilson, D. L. S. McElwain, "A Mathematical Model of Continuous HIV Mutations Eluding Immune Defence", Computational and Mathematical Methods in Medicine, vol. 4, Article ID 868901, 9 pages, 2002. https://doi.org/10.1080/1027366031000088438

A Mathematical Model of Continuous HIV Mutations Eluding Immune Defence

Received02 Jul 2002
Accepted09 Dec 2002

Abstract

We develop a description of HIV mutations based upon a continuum representation of the fitness of the virus, including the interaction of the virus with both specific Th1 lymphocytes as well as cross-reactive cells. This deterministic model allows a straightforward measure of the diversity of viral population and reproduces the observed increase in diversity as the disease progresses in an untreated patient. We use the diversity threshold theory, extending the modelling to track mutations on a continuum. When the diversity threshold is exceeded, the host immune system collapses.

Copyright © 2002 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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