Numerical methods for estimating effective diffusion coefficients of three-dimensional drug delivery systems
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....
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
American Institute of Mathematical Sciences
2012
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| Online Access: | http://hdl.handle.net/20.500.11937/26502 |
| _version_ | 1848752004799660032 |
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| author | Mohd-Mahali, S. Wang, S. Lou, Xia Pintowantoro, S. |
| author_facet | Mohd-Mahali, S. Wang, S. Lou, Xia Pintowantoro, S. |
| author_sort | Mohd-Mahali, S. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T08:01:44Z |
| format | Journal Article |
| id | curtin-20.500.11937-26502 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:01:44Z |
| publishDate | 2012 |
| publisher | American Institute of Mathematical Sciences |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-265022017-09-13T15:25:59Z Numerical methods for estimating effective diffusion coefficients of three-dimensional drug delivery systems Mohd-Mahali, S. Wang, S. Lou, Xia Pintowantoro, S. 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. 2012 Journal Article http://hdl.handle.net/20.500.11937/26502 10.3934/naco.2012.2.377 American Institute of Mathematical Sciences restricted |
| spellingShingle | Mohd-Mahali, S. Wang, S. Lou, Xia Pintowantoro, S. Numerical methods for estimating effective diffusion coefficients of three-dimensional drug delivery systems |
| title | Numerical methods for estimating effective diffusion coefficients of three-dimensional drug delivery systems |
| title_full | Numerical methods for estimating effective diffusion coefficients of three-dimensional drug delivery systems |
| title_fullStr | Numerical methods for estimating effective diffusion coefficients of three-dimensional drug delivery systems |
| title_full_unstemmed | Numerical methods for estimating effective diffusion coefficients of three-dimensional drug delivery systems |
| title_short | Numerical methods for estimating effective diffusion coefficients of three-dimensional drug delivery systems |
| title_sort | numerical methods for estimating effective diffusion coefficients of three-dimensional drug delivery systems |
| url | http://hdl.handle.net/20.500.11937/26502 |