## IMA Postdoc Seminar (February 10, 2009)

**Speaker:** Peter Hinow (IMA)

**Title:** Predicting the Drug Release Kinetics of Matrix Tablets

**Abstract:** 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.

This is joint work with Ami Radunskaya (Pomona College), Boris Baeumer
(University of Otago) and Ian Tucker (University of Otago).

**Slides:** PDF