An ODEs multiscale model with cell proliferation for hepatitis C virus infection treated with direct acting antiviral agents

Abstract

In a recent study, a mathematically identical ODE model is derived from a multiscale PDE model of hepatitis C virus infection, which helps to overcome the limitations of the PDE model in the analysis. Here, an extended proposed model is formulated for this transformed ODE model by including the hepatocyte proliferation of both uninfected and infected cells. Unlike the transformed model, the proposed model can predict the triphasic viral decline and the virus level after therapy cessation without oscillations. Numerical simulations are performed to investigate the effect of hepatocyte proliferation and therapy with direct-acting antivirals agents (DAAs). The basic reproduction number is obtained, the equilibrium points are specified, and their stability is analysed. A bifurcation analysis is performed to specify the bifurcation points and to study the effect of varying system parameters. Various viral load profiles generated by the model are confirmed to fit with reported data in the literature.

Keywords: 34A34; 34D20; 92-10; 92B05; 92c32; Hepatitis C virus HCV; Hepatocyte proliferation; Multiscale viral dynamics; ODEs stability and bifurcation; direct-acting antivirals agents DAAs.