Mathematical Models for Estimate of Release Kinetics from a Nanoparticle Drug Delivery System for Periodontal Disease

Non-steroidal anti-inflammatory drugs have been effective therapeutic in reducing the progression of periodontal disease by the effective inhibition of PG synthesis. For effectiveness of the locally delivered drugs, a suitable drug concentration requires to be present at the desired site. The drug carrier plays an important role in determining how to use it as well as in obtaining adequate concentration. Drug release from a nano-drug delivery system is the main determinant of its biological effects. As a result, it is important to evaluate the kinetics of this process. Accurate mathematical modeling and simulation of drug release can facilitate the design and optimization of drug delivery systems. The purpose of this study was to evaluate mathematical models for drug release from a nono-drug carrier system and to present a new release model. In-Vitro obtained drug release data from drug-loaded nano-silica aerogels was evaluated using mathematical zero-order, First-order, and Higuchi drug release models. A best data fitted model was derived to drug release kinetics describe from these nano-drug carrier materials. The results showed that the first-order model is very suitable for describing the kinetics of Ketoprofen release from nano-silica aerogels. But zero-order and Higuchi models are never appropriate in this regard. Based on this study in-vitro results, a new equation was proposed to characterize the kinematic release of ketoprofen from nano-silica aerogels with different properties. This mathematical model helps to easily detect effective changes in the drug release process and to determine the optimal state based on medical conditions.