Nonlinearities in Drug Release Process from Polymeric Microparticles: Long-Time-Scale Behaviour
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....
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Format: | Article |
Language: | English |
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Wiley
2012-01-01
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Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2012/653720 |
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author | Elena Simona Bacaita Costica Bejinariu Borsos Zoltan Catalina Peptu Gabriela Andrei Marcel Popa Daniela Magop Maricel Agop |
author_facet | Elena Simona Bacaita Costica Bejinariu Borsos Zoltan Catalina Peptu Gabriela Andrei Marcel Popa Daniela Magop Maricel Agop |
author_sort | Elena Simona Bacaita |
collection | DOAJ |
description | 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. |
format | Article |
id | doaj-art-995b4211015040018bdb41e9df0d614e |
institution | Kabale University |
issn | 1110-757X 1687-0042 |
language | English |
publishDate | 2012-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Applied Mathematics |
spelling | doaj-art-995b4211015040018bdb41e9df0d614e2025-02-03T01:00:48ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/653720653720Nonlinearities in Drug Release Process from Polymeric Microparticles: Long-Time-Scale BehaviourElena Simona Bacaita0Costica Bejinariu1Borsos Zoltan2Catalina Peptu3Gabriela Andrei4Marcel Popa5Daniela Magop6Maricel Agop7Department 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, RomaniaDepartment 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, RomaniaDepartment of Technology of Information, Mathematics and Physics, Faculty of Letters and Sciences, Petroleum-Gas University of Ploiesti, Bucuresti Boulevard, No. 39, 100680 Ploiesti, RomaniaDepartment 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, RomaniaDepartment 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, RomaniaDepartment 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, RomaniaPhysics Department, “Al. I. Cuza” University, Carol I Road, No. 11, 700506 Iasi, RomaniaDepartment 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, RomaniaA 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.http://dx.doi.org/10.1155/2012/653720 |
spellingShingle | Elena Simona Bacaita Costica Bejinariu Borsos Zoltan Catalina Peptu Gabriela Andrei Marcel Popa Daniela Magop Maricel Agop Nonlinearities in Drug Release Process from Polymeric Microparticles: Long-Time-Scale Behaviour Journal of Applied Mathematics |
title | Nonlinearities in Drug Release Process from Polymeric Microparticles: Long-Time-Scale Behaviour |
title_full | Nonlinearities in Drug Release Process from Polymeric Microparticles: Long-Time-Scale Behaviour |
title_fullStr | Nonlinearities in Drug Release Process from Polymeric Microparticles: Long-Time-Scale Behaviour |
title_full_unstemmed | Nonlinearities in Drug Release Process from Polymeric Microparticles: Long-Time-Scale Behaviour |
title_short | Nonlinearities in Drug Release Process from Polymeric Microparticles: Long-Time-Scale Behaviour |
title_sort | nonlinearities in drug release process from polymeric microparticles long time scale behaviour |
url | http://dx.doi.org/10.1155/2012/653720 |
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