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Published in:
2015 | OriginalPaper | Chapter
Within-Host Viral Evolution Model with Cross-Immunity
Authors : Narani van Laarhoven, Andrei Korobeinikov
Published in: Extended Abstracts Spring 2014
Publisher: Springer International Publishing
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Abstract
In the last 20 years, a considerable amount of research has been done in order to mathematically study the dynamics of viruses and immunity, and HIV in particular. A mathematical model of within-host dynamics of HIV, which incorporates random mutations modelled by diffusion in a continuous one dimensional strain space and postulates that immune response is phenotype specific, shows that for a fast evolving virus the phenotype specific immune response is not able to clear HIV from its host. In this contribution, we develop the model further by including a cross-immunity, rather than specific immunity, modelled by a weight function which represents the broadness of cross-immunity. Numerical simulations show that if the cross-immunity is sufficiently broad, cell mediated immune response is able to clear a virus from its host.