Mathematical Simulation of Controlled Drug Release from Cylindrical Matrix Devices

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Abstract
The general mathematical model for controlled drug release from the cylindrical matrix device was developed. The system under consideration is composed of an active agent which is dissolved homogeneously in a cylindrical porous matrix device. The method of lines was employed to solve the partial differential equation in the present study. The effects of hydrodynamic diffusion layer, the rate of spontaneous decay reaction in the device, the height to radius ratio of the device and the porosity distribution in the device on the rate of drug release were investigated by solving the two dimensional diffusion equation under non-steady state conditions. The results indicated that the release rate may be significantly underevaluated if the data obtained in the in vitro studies under a poor mixing condition are analyzed mistakenly on the assumption of well mixing condition. The findings in the present analysis are of practical significance to the design and development of matrix-diffusion type controlled release drug products.

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