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...

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Published inJournal of engineering mathematics Vol. 87; no. 1; pp. 139 - 152
Main Authors Mohd Mahali, Shalela, Wang, Song, Lou, Xia
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.08.2014
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ISSN0022-0833
1573-2703
DOI10.1007/s10665-013-9669-y

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Abstract 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.
AbstractList 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.
Author Lou, Xia
Wang, Song
Mohd Mahali, Shalela
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  organization: Department of Chemical Engineering, Curtin University
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10.1016/j.amc.2004.03.003
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Issue 1
Keywords Finite volume discretization
Controlled drug delivery
Effective diffusion coefficient
Nonlinear least-squares method
Sink condition
Language English
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Snippet 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...
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SubjectTerms Algorithms
Applications of Mathematics
Computational Mathematics and Numerical Analysis
Devices
Diffusion coefficient
Least squares method
Mathematical analysis
Mathematical and Computational Engineering
Mathematical Modeling and Industrial Mathematics
Mathematical models
Mathematics
Mathematics and Statistics
Nonlinearity
Optimization
Theoretical and Applied Mechanics
Title Estimation of effective diffusion coefficients of drug delivery devices in a flow-through system
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