Asymptotic analysis of drug dissolution in two layers having widely differing diffusivities

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Vynnycky, Michael and McKee, Sean and Meere, Martin and McCormick, Christopher and McGinty, Sean (2019) Asymptotic analysis of drug dissolution in two layers having widely differing diffusivities. IMA Journal of Applied Mathematics, 84 (3). pp. 533-554. ISSN 1464-3634 (https://doi.org/10.1093/imamat/hxz002)

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Abstract

This paper is concerned with a diffusion-controlled moving-boundary problem in drug dissolution, in which the moving front passes from one medium to another for which the diffusivity is many orders of magnitude smaller. The classical Neumann similarity solution holds while the front is passing through the first layer, but this breaks down in the second layer. Asymptotic methods are used to understand what is happening in the second layer. Although this necessitates numerical computation, one interesting outcome is that only one calculation is required, no matter what the diffusivity is for the second layer

  • Item type:Article
    ID code:66607
    Dates:
    Date
    Event
    31 January 2019
    Published
    9 January 2019
    Accepted
    15 February 2018
    Submitted
    Notes:© The Author(s) 2019. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved. This is a pre-copyedited, author-produced PDF of an article accepted for publication in IMA Journal of Applied Mathematics following peer review. The version of record Vynnycky, M, McKee, S, Meere, M, McCormick, C & McGinty, S 2019, 'Asymptotic analysis of drug dissolution in two layers having widely differing diffusivities' IMA Journal of Applied Mathematics. is available online at: https://doi.org/10.1093/imamat/hxz002
    Subjects:Science > Mathematics
    Medicine > Pharmacy and materia medica
    Department:Faculty of Science > Mathematics and Statistics
    Faculty of Engineering > Biomedical Engineering
    Depositing user: Pure Administrator
    Date deposited:17 Jan 2019 09:43
    Last modified:11 Nov 2024 12:12
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/66607
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