Mathematical Models of HIV Pathogenesis and Progression
Glenn Webb
Mathematics Department, Vanderbildt University, Nashville, USA
Abstract
A system of differential equations is used to model the
progression of the HIV infected immune system. The model includes the CD4+
T lymphocyte cell populations in the plasma and lymphoid compartments.
Uninfected CD4+ T cells and productively, abortively, and latently
infected CD4+ T cells are tracked during the asymptomatic and AIDS stages
of the disease. The model also includes the virus populations in the plasma
and lymphoid compartments. The model incorporates recent information about
CD4+ T cell turnover rates, viral production rates, and virus turnover
rates. Simulations of the model are compared with data.
