Dynamics of Hepatitis C virus (HCV) infection with Gompertzian proliferation

摘要

In this paper, a mathematical modeling of Hepatitis C Vims (HCV) with Gompertzian proliferation terms has been considered. The proposed mathematical model is a system of coupled ordinary differential equations which shows the interactions between the target cells (hepato-cytes), infected cells (infected hepatocytes), infectious virions and non-infectious virions. The critical drug efficacies of the combined drugs, interferon and ribavirin has been obtained. The model succeeded in showing most of the dynamics in hepatitis C patients including the biphasic, triphasic decline and the flat shoulder phase.