Models incorporating HIV infection, treatment and viral mutations

Chirove Faraimunashe
MBI - Long Term Visitor, The Ohio State University

(October 7, 2009 10:30 AM - 11:18 AM)

Models incorporating HIV infection, treatment and viral mutations

Abstract

We develop mathematical models that describe the interaction between the immune cells and the Human Immunodeficiency Virus (HIV). First, we consider a model that includes drug treatment whose efficacy determines the prognosis of the disease in terms of the parameters that describe the threshold and actual number of virions produced. We shall determine the model efficacy and show that when the efficacy is below the model efficacy, the CD4 T cell count decreases to a low level that cannot sustain an effective immune response. On the other hand, at drug efficacy levels greater than or equal to the model efficacy, the CD4 T cell count increases to levels sufficient to support an effective immune response but this state is unstable and a small residual infection remains in the body which is suppressed by continuously taking the medication. Secondly, we investigate the interaction between two infectious HIV strains and show how this affects disease progression.