Modeling and Numerical Simulation of Drug Transport and Absorption in a Tumor

Resumo

This work describes the diffusion-convection process of transport of the drug (doxorubicin) administered
by bolus injection through the tumor and interstitium. We numerically solve a coupled system of partial differential
equations that models the drug transport, its uptake, and effect in the tumor.
It is used a high order finite difference method that allows to accurately describe the drug effect in the tumor.
In fact, we can determine the time needed by the drug to reduce the tumor cell density and approximate the drug
spatial distribution in the tumor and interstitium. In addition, the simulations shows how the doxorubicin effect in
the tumor increases as its dose level increases.