ABSTRACT
Analysis of previously published target-cell limited viral dynamic models for pathogens such as human immunodeficiency virus (HIV), hepatitis, and influenza generally rely on standard techniques from dynamical systems theory or numerical simulation. In this chapter, a quasi-steady-state approximation is used to derive an analytic solution for the model with a non-cytopathic effect (i.e., when the death rates of uninfected and infected cells are equal), employing the matched asymptotic expansion singular perturbation theory method introduced in Chapter 4. This analytic solution provides time evolution values for all three compartments of uninfected cells, infected cells, and the virus, which compares very favorably with numerical simulation using data for equine infectious anemia virus (EIAV), a noncytopathic retrovirus closely related to HIV, and with the relevant clinical population values as well. Then the utility of such a solution is discussed.
