Computer simulation of a mathematical model of HAART therapy for HIV-1 AIDS

Frank Nani, Fayetteville State University
Mingxian Jin, Fayetteville State University

Abstract

A clinically plausible mathematical model is constructed to describe the patho-physiological dynamics of HIV-1 induced AIDS during HAART therapy. The model equations incorporate physiological interactions between non-infected helper T cells, HIV-1 infected helper T cells, HIV-1 virions in the blood plasma, HIV-1 specific cytotoxic T cells and drug molecules of the HAART protocol. Investigative computer simulations are performed to elucidate some therapeutic scenarios such as viral annihilation and efficacious HAART therapy. In particular, some mathematical criteria are derived for therapeutic outcomes such as viral persistence and viral annihilation. © 2011 IEEE.