The finite element method (FEM) was applied to the problems of diffusion-controlled drug release from complex matrix systems. These systems consisted of complex geometries and composite structures with various boundary conditions. The finite element procedures were first verified using analytical solutions for simple geometries, i.e., spherical, planar, and cylindrical geometries, under the perfect sink condition and in a well-stirred finite volume. The finite element solutions agreed very well with the exact solutions. The procedures were then used to analyze drug release into a finite volume from matrix devices of complex geometries including a convex tablet, a hollow cylinder, a doughnut-shaped ring, and an inward-release hemisphere. The effect of mixing on the release kinetics was studied by comparison of release profiles in a well-stirred finite volume with those in a poorly-stirred finite volume. Variation of drug concentration distribution with time within the matrix devices and in the dissolution medium was illustrated. The effect of composite structure on the release kinetics was also investigated using the devices made of two or more materials, such as composite pessaries, coated elastomer rings, and multi-layered tablets.
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