Drug release from collagen matrices including an evolving microstructure. Issue 10 (28th February 2013)

• Record Type: Journal Article
• Authors: Ray, N.; van Noorden, T.; Radu, F.A.; Friess, W.; Knabner, P.; Roubíček, Tomás
• Is Part Of: Zeitschrift für angewandte Mathematik und Mechanik. Volume 93:Issue 10/11(2013)
• Page Start: 811
• Page End: 822
• Publication Date: 2013-02-28
• Subjects: Mathematics -- Periodicals; Mechanics, Applied -- Periodicals; Engineering -- Periodicals; 519
• DOI: 10.1002/zamm.201200196
• Languages: English
• ISSNs: 0044-2267

Abstract

<abstract abstract-type="main" xml:lang="en"> <title>Abstract</title> <p>Biodegradable collagen matrices have become a promising alternative to traditional drug delivery systems. The relevant mechanisms in controlled drug release are the diffusion of water into the collagen matrix, the swelling of the matrix coming along with drug release, and enzymatic degradation of the matrix with additional simultaneous drug release. These phenomena have been extensively studied in the past experimentally, via numerical simulations as well as analytically. However, a rigorous derivation of the macroscopic model description, which includes the evolving microstructure due to the degradation process, is still lacking. Since matrix degradation leads to the release of physically entrapped active agent, a good understanding of these phenomena is very important. We present such a derivation using formal twoscale asymptotic expansion in a level set framework and complete our results with numerical simulations in comparison with experimental data.</p> </abstract>