Modeling, Stability and Numerical Simulation of Doxorubicin Transport and Uptake in Tumors.

Abstract

. This work analyzes the transport and effect of the chemotherapy drug doxorubicin in tumors. Specifically, we model the diffusion-convection process of doxorubicin delivered by bolus injection across the tumor and interstitium by a system of partial differential equations. We present a stability analysis of the system solution and implement a finite difference method to approximate it.