Journal of Applied Mathematics
Volume 2012 (2012), Article ID 653720, 26 pages
http://dx.doi.org/10.1155/2012/653720
Research Article

Nonlinearities in Drug Release Process from Polymeric Microparticles: Long-Time-Scale Behaviour

Elena Simona Bacaita,1,2 Costica Bejinariu,3 Borsos Zoltan,4 Catalina Peptu,1 Gabriela Andrei,1 Marcel Popa,1 Daniela Magop,5 and Maricel Agop2,6

1Department of Natural and Synthetic Polymers, Faculty of Chemical Engineering and Environmental Protection, “Gheorghe Asachi” Technical University of Iasi, Prof. Dr. Docent Dimitrie Mangeron Road, No. 73, 700050 Iasi, Romania
2Department of Physics, Faculty of Machine Manufacturing and Industrial Management, “Gheorghe Asachi” Technical University of Iasi, Prof. Dr. Docent Dimitrie Mangeron Road, No. 59A, 700050 Iasi, Romania
3Department of Materials Engineering and Industrial Security, Faculty of Materials Science and Engineering, “Gheorghe Asachi” Technical University of Iasi, Prof. Dr. Docent Dimitrie Mangeron Road, No. 59A, 700050 Iasi, Romania
4Department of Technology of Information, Mathematics and Physics, Faculty of Letters and Sciences, Petroleum-Gas University of Ploiesti, Bucuresti Boulevard, No. 39, 100680 Ploiesti, Romania
5Physics Department, “Al. I. Cuza” University, Carol I Road, No. 11, 700506 Iasi, Romania
6Lasers, Atoms and Molecules Physics Laboratory, University of Science and Technology, Villeneuve d’Ascq, 59655 Lille, France

Received 4 May 2012; Revised 8 July 2012; Accepted 20 July 2012

Academic Editor: Zhiwei Gao

Copyright © 2012 Elena Simona Bacaita et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A theoretical model of the drug release process from polymeric microparticles (a particular type of polymer matrix), through dispersive fractal approximation of motion, is built. As a result, the drug release process takes place through cnoidal oscillations modes of a normalized concentration field. This indicates that, in the case of long-time-scale evolutions, the drug particles assemble in a lattice of nonlinear oscillators occur macroscopically, through variations of drug concentration. The model is validated by experimental results.