Free boundary problems in controlled release pharmaceuticals. I: diffusion in glassy polymers

Creators: Cohen, Donald S.; Erneux, Thomas

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Abstract

This paper formulates and studies two different problems occurring in the formation and use of pharmaceuticals via controlled release methods. These problems involve a glassy polymer and a penetrant, and the central problem is to predict and control the diffusive behavior of the penetrant through the polymer. The mathematical theory yields free boundary problems which are studied in various asymptotic regimes.

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©1988 Society for Industrial and Applied Mathematics. Received by the editors September 10, 1986; accepted for publication (in revised form) September 16, 1987. [D.S.C.] was supported in part by U.S. Army Research Office (Durham) under contract DAAG29-85-K-0092, by the National Science Foundation under grant DMS-8706642, and by the Department of Energy under grant 7405/ENG-36 at the Center for Nonlinear Studies at Los Alamos. [T.E.] was supported in part by the Air Force Office of Scientific Research under grant AFOSR85-0150 and the National Science Foundation under grant DMS-8701302. D.S. Cohen thanks the members of the Center for Nonlinear Studies at Los Alamos for sponsoring and encouraging his interactions with various groups at Los Alamos.

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