Estimation of effective diffusion coefficients of drug delivery devices in a flow-through system
We present a numerical approach to estimating the effective diffusion coefficients of drug diffusion from a device into a container with a source and sink condition due to a fluid flowing through the system at a constant rate. In this approach we first formulate this estimation problem as a continuo...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Springer Netherlands
2014
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| Online Access: | http://hdl.handle.net/20.500.11937/23325 |
| _version_ | 1848751119266742272 |
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| author | Mahali, S. Wang, S. Lou, Xia |
| author_facet | Mahali, S. Wang, S. Lou, Xia |
| author_sort | Mahali, S. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | We present a numerical approach to estimating the effective diffusion coefficients of drug diffusion from a device into a container with a source and sink condition due to a fluid flowing through the system at a constant rate. In this approach we first formulate this estimation problem as a continuous, nonlinear, least-squares problem subject to a set of constraints containing a partial differential equation system. The nonlinear optimization problem is then discretized by applying a finite volume scheme in space and an implicit time-stepping scheme to the equation system, yielding a finite-dimensional, nonlinear, least-squares problem. An algorithm is proposed for the resulting finite-dimensional, constrained, nonlinear optimization problem. Numerical results using experimental data are presented to demonstrate the usefulness and accuracy of the method. |
| first_indexed | 2025-11-14T07:47:39Z |
| format | Journal Article |
| id | curtin-20.500.11937-23325 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:47:39Z |
| publishDate | 2014 |
| publisher | Springer Netherlands |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-233252017-09-13T13:56:21Z Estimation of effective diffusion coefficients of drug delivery devices in a flow-through system Mahali, S. Wang, S. Lou, Xia Effective diffusion coefficient Finite volume discretization Sink condition Nonlinear least-squares method Controlled drug delivery We present a numerical approach to estimating the effective diffusion coefficients of drug diffusion from a device into a container with a source and sink condition due to a fluid flowing through the system at a constant rate. In this approach we first formulate this estimation problem as a continuous, nonlinear, least-squares problem subject to a set of constraints containing a partial differential equation system. The nonlinear optimization problem is then discretized by applying a finite volume scheme in space and an implicit time-stepping scheme to the equation system, yielding a finite-dimensional, nonlinear, least-squares problem. An algorithm is proposed for the resulting finite-dimensional, constrained, nonlinear optimization problem. Numerical results using experimental data are presented to demonstrate the usefulness and accuracy of the method. 2014 Journal Article http://hdl.handle.net/20.500.11937/23325 10.1007/s10665-013-9669-y Springer Netherlands restricted |
| spellingShingle | Effective diffusion coefficient Finite volume discretization Sink condition Nonlinear least-squares method Controlled drug delivery Mahali, S. Wang, S. Lou, Xia Estimation of effective diffusion coefficients of drug delivery devices in a flow-through system |
| title | Estimation of effective diffusion coefficients of drug delivery devices in a flow-through system |
| title_full | Estimation of effective diffusion coefficients of drug delivery devices in a flow-through system |
| title_fullStr | Estimation of effective diffusion coefficients of drug delivery devices in a flow-through system |
| title_full_unstemmed | Estimation of effective diffusion coefficients of drug delivery devices in a flow-through system |
| title_short | Estimation of effective diffusion coefficients of drug delivery devices in a flow-through system |
| title_sort | estimation of effective diffusion coefficients of drug delivery devices in a flow-through system |
| topic | Effective diffusion coefficient Finite volume discretization Sink condition Nonlinear least-squares method Controlled drug delivery |
| url | http://hdl.handle.net/20.500.11937/23325 |