Abstract
This work presents mathematical modeling and design of a novel implantable biocompatible polymer membrane-based controllable drug release device for delivery and uptake of anionic anti-tumor drugs. The diffusion-mediated transport of the drug from the drug reservoir to the affected tumor tissue is regulated by applying an electric potential across the membrane by a set of batteries. The model comprising of Poisson Boltzmann, Nernst Planck and Diffusion Reaction equations has been written for three separate compartments, namely, the drug reservoir, the polymer membrane and the diseased tissue, with the governing equations for the compartments being linked to each other through the boundary conditions. Analytical solutions of the abovedescribed three compartment model are obtained to quantify the drug delivery rate along the radial coordinate and with time. The analytical solution has been used to quantify the various controlling parameters and analyze the dynamics and efficacy of the drug delivery process for three different chemotherapeutic drugs, namely, Doxorubicin, Chlorambucil and Mitomycin C.
