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2009, Volume 12, Issue 2: 261-277. Doi: 10.3934/dcdsb.2009.12.261
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Predicting the drug release kinetics of matrix tablets

  • 1.

    Department of Mathematics and Statistics, University of Otago, Dunedin

  • 2.

    New Zealand's National School of Pharmacy, University of Otago, Dunedin

  • 3.

    Institute for Mathematics and its Applications, University of Minnesota, 114 Lind Hall, Minneapolis, MN 55455

  • 4.

    Department of Mathematics, Pomona College, 610 N. College Ave., Claremont, CA 91711

Received:  September 30, 2008
Revised:  March 31, 2009
Published:  August 2009
Abstract Related Papers Cited by
    Abstract
  • In this paper we develop two mathematical models to predict the release kinetics of a water soluble drug from a polymer/excipient matrix tablet. The first of our models consists of a random walk on a weighted graph, where the vertices of the graph represent particles of drug, excipient and polymer, respectively. The graph itself is the contact graph of a multidisperse random sphere packing. The second model describes the dissolution and the subsequent diffusion of the active drug out of a porous matrix using a system of partial differential equations. The predictions of both models show good qualitative agreement with experimental release curves. The models will provide tools for designing better controlled release devices.
    Mathematics Subject Classification: Primary: 92C50.

    Citation:
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