Modeling HIV Immune Response and Validation with Clinical Data
NORTH CAROLINA STATE UNIV AT RALEIGH CENTER FOR RESEARCH IN SCIENTIFIC COMPUTATION
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A system of ordinary differential equations is formulated to describe the pathogenesis of HIV infection, wherein certain important features that have been shown important by recent experimental research are incorporated in the model. These include the role of CD4 memory cells that serve as a major reservoir of latently infected cells, a critical role for T-helper cells in the generation of CD8 memory cells capable of efficient recall response, and stimulation by antigens other than HIV. A stability analysis illustrates the capability of this model in admitting multiple locally asymptotically stable locally a.s. off-treatment equilibria. The phenomenon of viral blips experienced by some patients on therapy with viral load levels suppressed below the detection limit is also investigated. Censored clinical data is used to demonstrate that this model provides reasonable fits to all the patient data available for this study and, moreover, that it exhibits impressive predictive capability.