Introduction to an HIV-TB coinfection model

Edward Lungu
Mathematical Biosciences Institute (MBI), The Ohio State University

(December 5, 2008 10:30 AM - 11:30 AM)

Introduction to an HIV-TB coinfection model

Abstract

In the first part of the talk a simple HIV model that is relevant to the T-tropic phase of the disease (symptomatic HIV infection or pre-AIDS) will be presented. Treatment with imperfect drugs leads to an endemic equilibrium state with the following properties: Treatment causes the stable endemic equilibrium point to collide with the disease free state, but the two states do not bind. In fact, the endemic equilibrium may exist in the "disease free zone" as an unstable endemic equilibrium state which is capable of bouncing back to a stable endemic equilibrium point when the conditions are right.

In the second part of the talk a more comprehensive HIV model will be presented, which addresses how TB infection can accelerate the progression of the disease. This model is relevant to the asymptomatic and symptomatic HIV infection. Bacterial, macrophage, T cell and cytokine dynamics will be explained and future directions will be outlined.