Finite element analysis of diffusional drug release from complex matrix systems. I. Complex geometries and composite structures

Journal of Controlled Release

Volumn 49, Issue 2-3, 1997, Pages 277-288

  Zhou, Y ^a   Wu, X Y ^a  

^a UNIVERSITY OF TORONTO   (Canada)

Author keywords

Complex matrix devices; Composite structures; Diffusional drug release; Finite element method; Finite volume

Indexed keywords

DRUG;

ARTICLE; DISSOLUTION; DRUG DIFFUSION; DRUG RELEASE; DRUG STRUCTURE; FINITE ELEMENT ANALYSIS; GEOMETRY; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL; RISK FACTOR;

EID: 0031473467     PISSN: 01683659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-3659(97)00103-X     Document Type: Article

References (30)

1. J. Crank, The Mathematics of Diffusion, 2nd ed., Oxford University Press, 1975.
2. Paul D.R., McSpadden S.K. Diffusional release of a solute from a polymer matrix. J. Membrane Sci. 1:1976;33.
3. Fu J.C., Hagemeir C., Moyer D.L. A unified mathematical model for diffusion from drug-polymer composite tablets. J. Biomed. Mater. Res. 10:1976;743-758.
4. Lee P.I. Diffusional release of a solute from a polymeric matrix-approximate analytical solutions. J. Memb. Sci. 7:1980;255-275.
5. P.I. Lee, Determination of diffusion coefficients by sorption from a constant, finite volume, in: Controlled Release of Bioactive Materials, R. Baker (Ed.), Academic Press, New York (1980).
6. P.I. Lee, Diffusion-Controlled Matrix Systems, in Treatise on Controlled Drug Delivery, A. Kydonleus Ed., Marcel Dekker, NY, 1992.
7. N.A. Peppas, Mathematical models for controlled release kinetics, in: Medical Applications of Controlled Release, R.S. Langer and D.L. Wise (Eds.), CRC Press, Inc., Boca Raton, FL. (1984).
8. Peppas N.A., Meadows D.L. Macromolecular structure and solute diffusion in membrane: an overview of recent theories. J. Membrane Sci. 16:1983;361-377.
9. Peppas N.A., Moynihan H.J. Solute diffusion in swollen membranes. IV. Theories for moderately swollen networks. J. Appl. Polym. Sci. 30:1985;2589-2606.
10. R. Baker, Controlled Release of Biologically Active Agents, John Wiley and Sons, Toronto (1987).
11. L.T. Fan and S.K. Singh, Controlled Release: A Quantitative Treatment, Springer-Verlag, New York (1989).
12. A. Kydonieus, Treaties on Controlled Drug Delivery: Fundamentals, Optimization, Application, Marcel Dekker, New York (1992).
13. Himmelstein K.J., Thombre A.G. Mathematics of multiple processes in polymeric drug delivery systems. Proceed. Intern. Symp. Control. Rel. Bioact. Mater. 12:1985;15-16.
14. Chang N.J., Himmelstein K.J. Dissolution-Diffusion Controlled Constant-Rate Release from Heterogeneously Loaded Drug-Containing Materials. J. Control. Rel. 12:1990;201-212.
15. Kou J.H., Fleisher D., Amidon G.L. Modeling drug release from dynamically swelling poly(hydroxyethylmethacrylate-co-methacrylic acid) hydrogels. J. Control. Rel. 12:1990;241-250.
16. Joshi A., Himmelstein K.J. Dynamics of controlled release from bioerodible matrices. J. Control. Rel. 15:1991;95-104.
17. Gienger G., Knoch A., Markle H.P. Modeling and numerical computation of drug transport in laminates: model case evaluation of transdermal delivery system. J. Pharm. Sci. 75:1986;9-15.
18. S. Kalyanasundaram, Z. Zhao, A. Sills, H. Brem, and K.W. Leong, Controlled Release for Immunotherapy: Analysis of Intracranial Transport of IL-2, Proceed. Intern. Symp. Contrl. Rel. Bioact. Mater., 23 (1996) 119-120, Controlled Release Society, Inc.
19. Jain R.K., Baxer L.T. Mechanisms of Heterogeneous Distribution of Monoclonal Antibodies and Other Macromolecules in Tumors: Significance of Elevated Interstitial Pressure. Cancer Research. 48:1988;7022-7032.
20. Sachs J.R., Siegel R.A. Electrokinetics and Electromechanics in Controlled Release from Ionizable Gels: Theory and Experiments. Annual International Conference of IEEE. 16(2):1994;754-755.
21. O.C. Zienkiewicz, and R.L. Taylor, The Finite Element Method, 4th ed., McGraw-Hill, New York, 1991.
22. K.J. Bathe, Finite Element Procedures in Engineering Analysis, Prentice-Hall, Inc., New Jersey, 1982.
23. O.C. Zienkiewicz and K. Morgan, Finite Elements and Approximation, John Wiley and Sons, New York, 1983.
24. W. Rhine, V. Sukhatme, D.S.T. Hsieh, and R. Langer, A New Approach to Achieve Zero-Order Release Kinetics from Diffusion-Controlled Polymer Matrix Systems, in Controlled Release of Bioactive Materials, R. Baker, Ed., Academic Press, New York, 1980, pp. 177-188.
25. Hsieh D.S. W.D. Rhine, and Langer, Zero-Order Controlled-Release Polymer Matrices for Micro- and Macromolecules. J. Pharm. Sci. 72:1983;17-22.
26. Siegel R.A. Equations for inward hemispheric release below drug solubility. Proceed. Intern. Symp. Control. Rel. Bioact. Mater. 23:1996;117-118.
27. Higuchi T. Physical chemical analysis of percutaneous absorption process from creams and ointments. J. Soc. Cosm. Chem. 11:1960;85.
28. TM Systems). J. Control. Rel. 26:1993;39-47.
29. van Bommel E.M.G., Fokkens J.G., Crommelin D.J.A. A gradient matrix system as a controlled release device. release from a slab model system. J. Control. Rel. 10:1989;283-292.
30. Chien Y.W., Kabadi M.B. Intravaginal controlled estrus synchronization (II) Intravaginal delivery of flurogestone acetate, in vitro-in vivo correlation and clinical efficacy. Proceed. Intern. Symp. Control. Rel. Bioact. Mater. 12:1985;353-354.