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

Cohen, Donald S. and Erneux, Thomas (1988) Free boundary problems in controlled release pharmaceuticals. I: diffusion in glassy polymers. SIAM Journal on Applied Mathematics, 48 (6). pp. 1451-1465. ISSN 0036-1399. http://resolver.caltech.edu/CaltechAUTHORS:COHsiamjam88a

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1137/0148089DOIUNSPECIFIED
Additional Information:©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.
Funders:
Funding AgencyGrant Number
Army Research OfficeDAAG29-85-K-0092
National Science FoundationDMS-8706642
Department of Energy7405/ENG-36
Air Force Office of Scientific ResearchAFOSR85-0150
National Science FoundationDMS-8701302
Subject Keywords:free boundaries; perturbations; polymers; controlled release
Record Number:CaltechAUTHORS:COHsiamjam88a
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:COHsiamjam88a
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:12668
Collection:CaltechAUTHORS
Deposited By: Kristin Buxton
Deposited On:23 Dec 2008 22:56
Last Modified:26 Dec 2012 10:38

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