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    Estimation of effective diffusion coefficients of drug delivery devices in a flow-through system

    Access Status
    Fulltext not available
    Authors
    Mahali, S.
    Wang, S.
    Lou, Xia
    Date
    2014
    Type
    Journal Article
    
    Metadata
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    Citation
    Mahali, S. and Wang, S. and Lou, X. 2014. Estimation of effective diffusion coefficients of drug delivery devices in a flow-through system. Journal of Engineering Mathematics. 87 (1): pp. 139-152.
    Source Title
    Journal of Engineering Mathematics
    DOI
    10.1007/s10665-013-9669-y
    ISSN
    0022-0833
    School
    Department of Chemical Engineering
    URI
    http://hdl.handle.net/20.500.11937/23325
    Collection
    • Curtin Research Publications
    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.

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