Mathematical modeling and fem analysis of drug release from the periochip device

摘要

Controlled release of anti microbial drugs is an effective means of treating periodontal disease. In this work we present a comprehensive reaction diffusion model that accounts for the 3 principal mechanisms governing the release of drug from biodegradable ion exchange matrices such as the PerioChip device: diffusion, reversible adsorption of the drug onto the matrix, and enzyme catalyzed degradation of the matrix, which is inhibited by the adsorbed drug. Our model equations consist of a diffusion equation with a source term, which is coupled to 2 non-linear ode's. We used the Galerkin FEM to solve these equations and analyze the release of drug from such devices as a function of the relevant physicochemical parameters. Preliminary results compare favorably with experiment.