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

S. Mohd-Mahali, Song Wang, X. Lou

    Research output: Contribution to journalArticlepeer-review

    2 Citations (Scopus)

    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. © 2014 Springer Science+Business Media Dordrecht.
    Original languageEnglish
    Pages (from-to)139-152
    JournalJournal of Engineering Mathematics
    Volume87
    Issue number1
    DOIs
    Publication statusPublished - 2014

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