Mathematical models for the release of drugs from matrix tablets.

A previously derived cubic equation describing the release of drugs from matrix tablets is compared with a more complex equation recently presented. Using data obtained from cylindrical hydrocortisone matrix tablets, it is shown that the simpler cubic equation affords an equally acceptable description of drug release. Because the cubic equation contains a release-rate constant Kr that is independent of tablet shape, a congruency between this equation and other historical models of diffusion may be demonstrated. It is suggested, given the complexity of drug disposition in vivo, that simplicity in modeling is a desirable goal.