Mathematical modelling of the release of drug from porous, nonswelling transdermal drug-delivery devices

IMA Journal of Mathemathics Applied in Medicine and Biology

Volumn 15, Issue 2, 1998, Pages 135-163

  Lee, A J ^a   King, J R ^b   Hibberd, S ^b  

^a QuantiSci   (United Kingdom)

^b UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

Asymptotics; Drug delivery device; Mathematical modelling; Moving boundary problem; Transdermal

Indexed keywords

ETHYLENE VINYL ACETATE COPOLYMER; THEOPHYLLINE;

ARTICLE; DRUG DELIVERY SYSTEM; DRUG DIFFUSION; DRUG RELEASE; DRUG SOLUBILITY; MATHEMATICAL MODEL; OSMOTIC PRESSURE; SKIN SURFACE; TIME; TRANSDERMAL DRUG ADMINISTRATION;

CONTROLLED DRUG DELIVERY; TARGETED DRUG DELIVERY;

ASYMPTOTICS; BE-DIFFUSION; DELIVERY DEVICE; DISSOLUTION RATES; DRUG DELIVERY DEVICES; GENERAL MODEL; MATHEMATICAL MODELING; MOVING BOUNDARY PROBLEMS; TRANSDERMAL; TRANSDERMAL DRUG DELIVERY;

DISSOLUTION;

EID: 0031830585     PISSN: 02650746     EISSN: None     Source Type: Journal    
DOI: 10.1093/imammb/15.2.135     Document Type: Article

References (22)

1. ADDICKS, W. J., FLYNN, G., WEINER, N. & CURL, R. 1989 A mathematical model to describe drug release from thin topical applications. Int. J. Pharm 56, 243-248.
2. AYRES, J. W. & LINDSTRÖM, F. T. 1977a Diffusion model for drug release from suspensions. I. Theoretical considerations. J. Pharm. Sci. 66, 654-662.
3. AYRES, J. W. & LINDSTRÖM, F. T. 1977b Diffusion model for drug release from suspensions. II. Release to a perfect sink. J. Pharm. Sci. 66, 662-668.
4. CHANDRASEKARAN, S. K. & PAUL, D. R. 1982 Dissolution-controlled transport from dispersed matrices. J. Pharm. Sci. 71, 1399-1402.
5. COHEN, D. S. & ERNEUX, T. 1988 Free boundary problems in controlled release pharmaceuticals. II: Swelling controlled release. SIAM J. Appl. Math. 48, 1466-1474.
6. CRANK, J. 1975 The Mathematics of Diffusion. Oxford University Press.
7. DESAI, S. J., SINGH, P., SIMONELLI, A. P. & HIGUCHI, W. I. 1966 Investigation of factors influencing release of solid drug dispersed in inert matrices. II. J. Pharm. Sci. 55, 1224-1229.
8. GIENGER, G., KNOCK, A. & MERKLE, H. P. 1986 Modelling and numerical computation of drug transport in laminates: Model case evaluation of a transdermal delivery system. J. Pharm. Sci. 75, 9-15.
9. GOPFERICH, A. & LEE, G. 1991a A method for the prediction of in vivo blood levels during application of matrix-type and membrane-controlled-type transdermal delivery devices. In: Prediction of Percutaneous Penetration (R. C. Scott, R. H. Guy, J. Hadgraft, & H. E. Bodde, eds.). London: IBC Technical Services.
10. GOPFERICH, A. & LEE, G. 1991b An improved diffusion/compartmental model for transdermal drug-delivery from a matrix-type device. Int. J. Pharm. 71, 237-243.
11. GURNY, R., DOELKER, E. & PEPPAS, N. A. 1982 Modelling of sustained release of water soluble drugs from porous hydrophobic polymers. Biomaterials 3, 27-32.
12. HADGRAFT, J. & GUY, R. H. 1987 Release and diffusion of drugs from polymers. In: Polymers in Controlled Drug Delivery (L. Illum & S. Davis, eds.). Bristol: Wright.
13. HIGUCHI, T. 1961 Rate of release of medicaments from ointment bases containing drugs in suspension. J. Pharm. Sci. 50, 874-875.
14. HIGUCHI , T. 1963 Theoretical analysis of rate of release of solid drugs dispersed in solid matrices. J. Pharm. Sci. 52, 1145-1149.
15. LEE, A. J., KING, J. R. & ROGERS , T. G. 1996 A multiple pathway model of the diffusion of drugs in skin. IMA J. Math. Appl. Med. Biol. 13, 127-150.
16. MILLER, E. S. & PEPPAS, N. A. 1983 Diffusional release of water soluble bioactive agents from ethylene-vinyl acetate copolymers. Chem. Eng. Comm. 22, 303-315.
17. PAUL, D. R. & MCSPADDEN, S. C. 1976 Diffusional release of a solute from a polymer matrix. J. Membr. Sci. 1, 33-48.
18. PEPPAS, N. A. 1983 A model of dissolution-controlled solute release from porous drug-delivery polymeric systems. J. Biomed. Mater. Res. 17, 1079-1087.
19. PEPPAS, N. A. 1984 Mathematical models for controlled release kinetics. In: Medical Applications of Controlled Release, Vol. II (R. S. Langer & D. L. Wise, eds.). Boca Raton, FL: CRC Press.
20. RHINE, W., SUKHATME, V., HSIEH, D. S.T. & LANGER, R. S. 1980 A new approach to achieve zero order release kinetics from controlled polymer matrix systems. In: Controlled Release of Bioactive Materials (R. Baker, ed.). New York: Academic Press.
21. SIEGAL, R. A. 1989 Modelling of drug release from porous polymers. In: Controlled Release of Drugs: Polymers and Aggregate Systems (M. Rosoff, ed.). New York: VCH.
22. SMITH, G. D. 1978 Numerical Solutions of Partial Differential Equations. Oxford University Press.