New mathematical models for effective drug diffusivity estimation in 2D

Song Wang, X. Lou

    Research output: Contribution to journalArticle

    3 Citations (Scopus)


    In this paper we propose several new mathematical models for estimating effective diffusivities of a drug released from a cylinder device to an external finite volume. These models can handle problems with ‘initial burst’ and boundary layers. Analytical solutions to the models are derived. To determine the unknown effective diffusivity, time of a initial burst and width of the effective boundary layer, a least-squares method can be used for a given experimental data set. The models were tested using experimental data and the numerical results show the usefulness and accuracy of these models.
    Original languageEnglish
    Pages (from-to)1557-1560
    JournalMaterials Science Forum
    Publication statusPublished - 2007


    Cite this