Mathematical Modeling and Simulation of Latency Phase HIV-1 Dynamics

In this paper, the parho-physiological dynamics of HlV-/ induced AIDS is analyzed using Q system oj deterministic ordinary differential equations. The mathematical model exhibits explicitly the dynamics of the HlV-J virions during latency phase in the absence of anti-viral therapy. The model presented in this paper is a generalization of previous models of HlV-J dynamics and incorporales Ihe interactions between the HIVJ virions, infected helper T-Iymphocytes. uninfected helper r-Iymphocytes, and cytotoxic T-Iymphocytes, as well as COn/ributions to HIV-J reservoirs. Investigative compuler simulations using clinically plausible parametric configurations are presenled. Clinically relevant criteria are derived depicting the annihilation, cOn/rol, or persistence of HIV-J in Ihe absence of anli-virallherapy.