NEW MATHEMATICAL MODEL BASED ON THE KINETIC PROFILE FOR THE PREDICTION OF MULTISTAGE DRUG RELEASE FROM DELIVERY SYSTEMS

Because of a broad number of interdependent effects occurring during the release of drugs from controlled delivery systems, the associated phenomena become complex. Despite the availability of many researches to simulate these pharmacokinetics and dynamic aspects, the applicable models stay limited. In this work, we have developed an innovative mathematical model to predict the multistage-profiles of drug release. Thanks to the succession use of power functions reproducing the kinetic profile, the universal applicability of the proposed modeling becomes possible. This mathematical model makes it possible, in other words, to propose a behaviour law for the family of drug-carriers studied after experimental data adjustment of their release profiles. The physical mechanisms are not directly modelled here, but they are contained in the modelled kinetics. In this way any group of physical mechanisms, coupled or not, are taken into account. To assess the development’s accuracy; we compare a published data set to predictions. The chosen examples here exploit distinct results about the effects of the coupled flow rate, drug-concentration, and the radius of the cylinder of the micro-needle patches. Predictions of this model are reachable from accessible design factors; we expect so users will select it to guide the formulations of a broad range of custom drug delivery system.