Mathematical models for HIV treatment : A schematic review

This review examines mathematical models related to the treatment of Human Immunodeficiency Virus (HIV) and Acquired Immunodeficiency Syndrome (AIDS). The analysis is based on two criteria: the physio-pathological one and the mathematical one. The former criterion checks the presence and possible differentiation of uninfected and infected T lymphocytes, of immune cells and of viruses. The latter criterion distinguishes among dynamic systems, optimal control, and differential game approaches. A schematic table collects the results of this analysis and allows the reader to find out at a glance both the physiopathological and the mathematical characteristics of each cited model.