American Institute of Mathematical Sciences

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September  2009, 12(2): 261-277. doi: 10.3934/dcdsb.2009.12.261

Predicting the drug release kinetics of matrix tablets

Boris Baeumer 1, , Lipika Chatterjee 2, , Peter Hinow 3, , Thomas Rades 2, , Ami Radunskaya 4, and  Ian Tucker 2,

1. 

Department of Mathematics and Statistics, University of Otago, Dunedin, New Zealand
2. 

New Zealand's National School of Pharmacy, University of Otago, Dunedin, New Zealand, New Zealand, New Zealand
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  October 2008 Revised  April 2009 Published  July 2009

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.
Keywords: Matrix tablets, mathematical modeling., drug release kinetics.
Mathematics Subject Classification: Primary: 92C5.
Citation: Boris Baeumer, Lipika Chatterjee, Peter Hinow, Thomas Rades, Ami Radunskaya, Ian Tucker. Predicting the drug release kinetics of matrix tablets. Discrete & Continuous Dynamical Systems - B, 2009, 12 (2) : 261-277. doi: 10.3934/dcdsb.2009.12.261
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