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Modelling within-host viral evolution with cross-immunity. Numerical simulation of the model
Van Laarhoven, Narani
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Guillamon Grabolosa, Antoni; Korobeinikov, Andrei
Centre de Recerca Matemàtica
In the last twenty years, a considerable amount of research has been done in order to mathematically study the dynamics of viruses and immunity, and HIV in particular. The aim of this thesis is to further develop a mathematical model of within-host dynamics of HIV, which incorporates random mutations and postulates that immune response is phenotype specic. In this model, a continuous distribution of viral strains in a one-dimensional strain space is assumed, and random mutations are modelled by diusion in this space. This model shows that for a fast evolving virus the phenotype specic immune response is not able to clear HIV from its host. In this thesis, we develop the model further by including cross-immunity, rather than specic immunity, modelled by a weight function which represents the broadness of the cross-immunity. Numerical simulations show that if cross-immunity is suciently broad, CTL response is able to clear a virus from its host.
Àrees temàtiques de la UPC::Matemàtiques i estadística
Population dynamics
Virus dynamics
Numerical simulations
Dinàmica de poblacions
Classificació AMS::92 Biology and other natural sciences::92D Genetics and population dynamics
Universitat Politècnica de Catalunya

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