Numerical simulation of drug release from collagen matrices by Enzymatic degradation

Radu FA, Bause M, Knabner P, Friess W, Metzmacher I (2009)

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2009

Journal

Computing and Visualization in Science Springer Verlag

Publisher: Springer Verlag

Book Volume: 12

Pages Range: 409-420

Journal Issue: 8

URI: https://www1.am.uni-erlangen.de/research/publications/Jahr_2009/2009_RaduBauseKnFriessMetzmacher_NumericalSimulationOfDrugReleaFromCollagenMetricsByEnzymDegrad

DOI: 10.1007/s00791-008-0118-9

Abstract

Biodegradable collagen matrices have become a promising alternative to synthetic polymers as drug delivery systems for sustained release. Previously, a mathematical model describing water penetration, matrix swelling and drug release by diffusion from dense collagen matrices was introduced and tested (cf. Radu et al. in J. Pharm. Sci. 91:964-972, 2002). However, enzymatic matrix degradation influences the drug release as well. Based on experimental studies (cf. Metzmacher in Enzymatic degradation and drug release behavior of dense collagen implants. Ph.D. thesis, LMU University of Munich, 2005), a mathematical model is presented here that describes drug release by collagenolytic matrix degradation. Existence and uniqueness of a solution of the model equations is reviewed. A mixed Raviart-Thomas finite element discretization for solving the coupled system of partial and ordinary differential equations is proposed and analyzed theoretically. The model is verified by a comparison of numerically calculated and experimentally measured data and, in particular, investigated by a parameter sensitivity study. For illustration, some concentration profiles of a twodimensional simulation are shown. © The Author(s) 2008.

Authors with CRIS profile

Peter Knabner Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)

Involved external institutions

Max-Planck-Institut für Mathematik (MPIM) DE Germany (DE) Ludwig-Maximilians-Universität (LMU) DE Germany (DE)

How to cite

APA:

Radu, F.A., Bause, M., Knabner, P., Friess, W., & Metzmacher, I. (2009). Numerical simulation of drug release from collagen matrices by Enzymatic degradation. Computing and Visualization in Science, 12(8), 409-420. https://doi.org/10.1007/s00791-008-0118-9

MLA:

Radu, F. A., et al. "Numerical simulation of drug release from collagen matrices by Enzymatic degradation." Computing and Visualization in Science 12.8 (2009): 409-420.

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