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2012, 2(2): 377-393. doi: 10.3934/naco.2012.2.377

## Numerical methods for estimating effective diffusion coefficients of three-dimensional drug delivery systems

 1 School of Mathematics & Statistics, The University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia 2 School of Mathematics and Statistics, The University of Western Australia, 35 Stirling Hwy, Crawley, WA 6009 3 Department of Chemical Engineering, Curtin University of Technology, GPO Box U1987, Perth, WA 6846 4 Fakultas Teknologi Industri, Institut Teknologi Sepuluh Nopember, Kampus ITS Sukolilo, Surabaya 60111, Indonesia

Received  October 2011 Revised  January 2012 Published  May 2012

This paper presents a numerical technique in three dimensions for estimating effective diffusion coefficients of drug release devices in rotating and flow-through fluid systems. We first formulate the drug release problems as diffusion equation systems with unknown effective diffusion coefficients. We then develop a numerical technique for estimating the unknown coefficients based on a nonlinear least-squares method and a finite volume discretization scheme for the 3D diffusion equations. Numerical experiments have been performed using experimental data and the numerical results are presented to show that our methods give accurate diffusivity estimations for the test problems.
Citation: Shalela Mohd--Mahali, Song Wang, Xia Lou, Sungging Pintowantoro. Numerical methods for estimating effective diffusion coefficients of three-dimensional drug delivery systems. Numerical Algebra, Control & Optimization, 2012, 2 (2) : 377-393. doi: 10.3934/naco.2012.2.377
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