Comparison of two different formulations of multiscale models for HCV infection

Abstract

A mathematical model of Hepatitis C Virus （HCV） dynamics with RNA replication under antiviral therapy was constructed by a set of partial differential equations （PDEs）. In previous works, they solved the model as ordinary differential equations（ ODEs） under the assumption of no de-novo infection and its analytical solution was used to describe the dynamics. However, the previous model by this approach has a limitation when it is applied to clinical data. Therefore, we developed a new mathematical model which is mathematically equivalent to PDE and compared the performance of our approach to the previous PDE model.