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Mathematical Modeling, Differential Equations, Immune System Dynamics Under HIV Infection, AIDS, Antiretroviral Therapy, HIV Treatment


Applied Mathematics | Disease Modeling | Ordinary Differential Equations and Applied Dynamics | Science and Mathematics Education | Virus Diseases


An inquiry-based project that discusses immune system dynamics during HIV infection using differential equations is presented. The complex interactions between healthy T-cells, latently infected T-cells, actively infected T-cells, and the HIV virus are modeled using four nonlinear differential equations. The model is adapted to simulate long term HIV dynamics, including the AIDS state, and is used to simulate the long term effects of the traditional antiretroviral therapy (ART). The model is also used to test viral rebound over time of combined application of ART and a new drug that blocks the reactivation of the viral genome in the infected cells and locks the HIV virus into a state of latency.



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