An exact solution to the moving boundary problem with fractional anomalous diffusion in drug release devices

被引：39

作者：

Liu, JY ^{[1
]}

Xu, MY ^{[1
]}

机构：

[1] Shandong Univ, Sch Math & Syst Sci, Biomed Engn Res Ctr, Jinan 250100, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2004年 / 84卷 / 01期

关键词：

controlled drug release devices; moving boundary problem; fractional anomalous diffusion; fractional Green's function; exact solution;

D O I：

10.1002/zamm.200410074

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An exact solution to the moving boundary problem with fractional anomalous diffusion (in time) in drug release devices is presented by means of fractional Green's function and Wright function in this paper. The result given by this paper coincides with the known semi-empirical Ritger-Peppas' formula in controlled drug release system [4]. For convenience of use, an approximate expression of the amount of drug released from polymeric matrix with high accuracy is given out at the end of the paper. (C) 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

引用

页码：22 / 28

页数：7

共 7 条

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[3]

KOIZUMI T, 1975, CHEM PHARM BULL, V23, P3288

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[5]

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[7]

RITGER P L, 1987, Journal of Controlled Release, V5, P23, DOI 10.1016/0168-3659(87)90034-4

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