Mathematical models of immune effector responses to viral infections: Virus control versus the development of pathology

This article reviews mathematical models which have investigated the importance of lytic and non-lytic immune responses for the control of viral infections. Lytic immune responses fight the virus by killing infected cells, while non-lytic immune responses fight the virus by inhibiting viral replication while leaving the infected cell alive. The models suggest which types or combinations of immune responses are required to resolve infections which vary in their characteristics, such as the rate of viral replication and the rate of virus-induced target cell death. This framework is then applied to persistent infections and viral evolution. It is investigated how viral evolution and antigenic escape can influence the relative balance of lytic and non-lytic responses over time, and how this might correlate with the transition from an asymptomatic infection to pathology. This is discussed in the specific context of hepatitis C virus infection.