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    Determination of effective diffusion coefficients of drug delivery devices by a state observer approach

    Access Status
    Open access via publisher
    Authors
    Mahali, S.
    Wang, S.
    Lou, Xia
    Date
    2011
    Type
    Journal Article
    
    Metadata
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    Citation
    Mahali, Shalela Mohd and Wang, Song and Lou, Xia. 2011. Determination of effective diffusion coefficients of drug delivery devices by a state observer approach. Discrete and Continuous Dynamical Systems Series B. 16 (4): pp. 1119-1136.
    Source Title
    Discrete and Continuous Dynamical Systems Series B
    DOI
    10.3934/dcdsb.2011.16.1119
    ISSN
    15313492
    School
    Department of Chemical Engineering
    URI
    http://hdl.handle.net/20.500.11937/3750
    Collection
    • Curtin Research Publications
    Abstract

    In this paper we present a state observer approach for the estimation of effective diffusion coefficients of a drug delivery device. In this approach, we construct estimators for the unknown effective diffusion coefficients characterizing the diffusion process of a drug release device using a combination of state observers from the area of adaptive control and the drug diffusion models developed recently by us. We show that the constructed systems are asymptotically stable and the estimators converge to the exact diffusion coefficients. An algorithm is proposed to recursively compute the estimators using a given time series of a release profile of a device. To demonstrate the efficiency and usefulness of this approach, numerical experiments have been performed using experimentally observed drug release profiles of polymeric spherical devices. The numerical results show that the present approach is about 9 times faster than the conventional least squares method when applied to the test problems.

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