Mathematical Modeling and Simulation of Latency Phase HIV-1 Dynamics

In this paper, the patho-physiological dynamics of HIV-1 induced AIDS is analyzed using a system of deterministic ordinary differential equations. The mathematical model exhibits explicitly the dynamics of the HIV-1 virions during latency phase in the absence of anti-viral therapy. The model presented in this paper is a generalization of previous models of HIV-1 dynamics and incorporates the interactions between the HIV-1 virions, infected helper T-Iymphocytes. uninfected helper r-Iymphocytes, and cytotoxic T-Iymphocytes, as well as contributions to HIV-1 reservoirs. investigative computer simulations using clinically plausible parametric configurations are presented. Clinically relevant criteria are derived depicting the annihilation, control, or persistence of HIV-1 in the absence of anti-viral therapy