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Asymptotic and numerical results for a model of solvent-dependent drug diffusion through polymeric spheres

Journal Article


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Abstract


  • A model for drug diffusion from a spherical polymeric drug delivery device is

    considered. The model contains two key features. The first is that solvent

    diffuses into the polymer, which then transitions from a glassy to a rubbery

    state. The interface between the two states of polymer is modeled as a moving

    boundary, whose speed is governed by a kinetic law; the same moving boundary

    problem arises in the one-phase limit of a Stefan problem with kinetic

    undercooling. The second feature is that drug diffuses only through the

    rubbery region, with a nonlinear diffusion coefficient that depends on the

    concentration of solvent. We analyze the model using both formal asymptotics

    and numerical computation, the latter by applying a front-fixing scheme with

    a finite volume method. Previous results are extended and comparisons are made

    with linear models that work well under certain parameter regimes. Finally, a

    model for a multilayered drug delivery device is suggested, which allows for

    more flexible control of drug release.

Authors


  •   McCue, Scott (external author)
  •   Hsieh, Mike (external author)
  •   Moroney, Timothy J. (external author)
  •   Nelson, Mark I.

Publication Date


  • 2011

Citation


  • McCue, S., Hsieh, M., Moroney, T. J. & Nelson, M. I. (2011). Asymptotic and numerical results for a model of solvent-dependent drug diffusion through polymeric spheres. SIAM Journal on Applied Mathematics, 71 (6), 2287-2311.

Scopus Eid


  • 2-s2.0-84855506011

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=9960&context=infopapers

Ro Metadata Url


  • http://ro.uow.edu.au/infopapers/2624

Number Of Pages


  • 24

Start Page


  • 2287

End Page


  • 2311

Volume


  • 71

Issue


  • 6

Place Of Publication


  • http://epubs.siam.org/siap/resource/1/smjmap/v71/i6

Abstract


  • A model for drug diffusion from a spherical polymeric drug delivery device is

    considered. The model contains two key features. The first is that solvent

    diffuses into the polymer, which then transitions from a glassy to a rubbery

    state. The interface between the two states of polymer is modeled as a moving

    boundary, whose speed is governed by a kinetic law; the same moving boundary

    problem arises in the one-phase limit of a Stefan problem with kinetic

    undercooling. The second feature is that drug diffuses only through the

    rubbery region, with a nonlinear diffusion coefficient that depends on the

    concentration of solvent. We analyze the model using both formal asymptotics

    and numerical computation, the latter by applying a front-fixing scheme with

    a finite volume method. Previous results are extended and comparisons are made

    with linear models that work well under certain parameter regimes. Finally, a

    model for a multilayered drug delivery device is suggested, which allows for

    more flexible control of drug release.

Authors


  •   McCue, Scott (external author)
  •   Hsieh, Mike (external author)
  •   Moroney, Timothy J. (external author)
  •   Nelson, Mark I.

Publication Date


  • 2011

Citation


  • McCue, S., Hsieh, M., Moroney, T. J. & Nelson, M. I. (2011). Asymptotic and numerical results for a model of solvent-dependent drug diffusion through polymeric spheres. SIAM Journal on Applied Mathematics, 71 (6), 2287-2311.

Scopus Eid


  • 2-s2.0-84855506011

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=9960&context=infopapers

Ro Metadata Url


  • http://ro.uow.edu.au/infopapers/2624

Number Of Pages


  • 24

Start Page


  • 2287

End Page


  • 2311

Volume


  • 71

Issue


  • 6

Place Of Publication


  • http://epubs.siam.org/siap/resource/1/smjmap/v71/i6