Structural modeling of drug release from biodegradable porous matrices based on a combined diffusion/erosion process

International Journal of Pharmaceutics

Volumn 258, Issue 1-2, 2003, Pages 95-107

  Lemaire, V ^a   Belair J ^a   Hildgen, P ^a  

^a UNIVERSITÉ DE MONTRÉAL   (Canada)

Author keywords

Biodegradable porous matrices; Diffusion; Erosion; Mathematical modeling; Microspheres; Release kinetics

Indexed keywords

MICROSPHERE; POLYMER;

ARTICLE; BIODEGRADABILITY; DIFFUSION; DIFFUSION COEFFICIENT; DRUG DIFFUSION; DRUG RELEASE; EROSION; EXCIPIENT COMPATIBILITY; FLOW RATE; IN VITRO STUDY; KINETICS; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; MOLECULAR WEIGHT; MOLECULE; PARAMETER; POROSITY; PREDICTION; PRIORITY JOURNAL; PROCESS MODEL;

EID: 0037499909     PISSN: 03785173     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-5173(03)00165-0     Document Type: Article

References (49)

1. Albasiny E.L., On the numerical solution of a cylindrical heat-conduction problem. Quart. J. Mech. Appl. Math. 13:1960;374-384.
2. Bain D.F., Munday D.L., Smith A., Solvent influence on spray-dried biodegradable microspheres. J. Microencapsul. 16:1996;453-474.
3. Baker, R.W., Lonsdale, H.K., 1974. Controlled release: mechanisms and rates. In: Tanquarry, A.C., Lacey, R.E. (Eds.), Controlled Release of Biologically Active Agents. Plenum Press, New York, pp. 15-71.
4. Batycky R.P., Hanes J., Langer R., Edwards D.A., A theoretical model of erosion and macromolecular drug release from biodegrading microspheres. J. Pharm. Sci. 86:1997;1464-1477.
5. Ben-Zarty O., On numerical schemes of the Crank-Nicolson type for the cylindrical diffusion equation. Utilitas Math. 28:1985;151-157.
6. Bezemer J.M., Radersma R., Grijpma D.W., Dijkstra P.J., Feijen J., van Blitterswijk C.A., Zero-order release of lysozyme from poly(ethylene glycol)/poly(butylene terephthalate) matrices. J. Control. Release. 64:2000a;179-192.
7. Bezemer J.M., Radersma R., Grijpma D.W., Dijkstra P.J., van Blitterswijk C.A., Feijen J., Microspheres for protein delivery prepared from amphiphilic multiblock copolymers. 1. Influence of preparation techniques on particle characteristics and protein delivery. J. Control. Release. 67:2000b;233-248.
8. Bezemer J.M., Radersma R., Grijpma D.W., Dijkstra P.J., van Blitterswijk C.A., Feijen J., Microspheres for protein delivery prepared from amphiphilic multiblock copolymers. 2. Modulation of release rate. J. Control. Release. 67:2000c;248-260.
9. Boury F., Marchais H., Proust J.E., Benoit J.P., Bovine serum albumin release from poly(α -hydroxy acid) microspheres: effect of polymer molecular weight and surface properties J. Control. Release. 45:1997;75-86.
10. Capan Y., Woo B.H., Gebrekidan S., Ahmed S., DeLuca P.P., Influence of formulation parameters on the characteristics of poly(D, L-lactide-co-glycolide) microspheres containing poly(L-lysine) complexed plasmid DNA J. Control. Release. 60:1999;279-286.
11. Charlier A., Leclerc B., Couarraze G., Release of mifepristone from biodegradable matrices: experimental and theoretical evaluations. Int. J. Pharm. 200:2000;115-120.
12. Cohen S., Yoshioka T., Lucarelli M., Hwang L.H., Langer R., Controlled delivery systems for proteins based on poly(lactic/glycolic acid) microspheres. Pharm. Res. 8:1991;713-720.
13. Crank, J., 1975. The Mathematics of Diffusion, 2nd ed. Oxford University Press, Oxford.
14. Ehtezazi T., Washington C., Controlled release of macromolecules from PLA microspheres: using porous structure topology. J. Control. Release. 68:2000;361-372.
15. Göpferich A., Mechanisms of polymer degradation and erosion. Biomaterials. 17:1996;103-114.
16. Göpferich A., Langer R., Modeling monomer release from bioerodible polymers. J. Control. Release. 33:1995;55-69.
17. Hanes J., Chiba M., Langer R., Degradation of porous poly(anhydride-co-imide) microspheres and implications for controlled macromolecule delivery. Biomaterials. 19:1998;163-172.
18. Heller, J., Baker, R.W., 1980. Theory and practice from controlled drug delivery from bioerodible polymers. In: Baker, R.W. (Ed.), Controlled Release of Bioactive Materials. Academic Press, New York, pp. 1-18.
19. Hernádez R.M., Igartua M., Gascón A.R., Calvo M.B., Pedraz J.L., Influence of shaking and surfactants on the release of BSA from PLGA microspheres. Eur. J. Drug Metab. Pharmacokinet. 23:1998;92-96.
20. Higuchi T., Mechanism of sustained-action medication. Theoretical analysis of rate of release of solid drugs dispersed in solid matrices. J. Pharm. Sci. 52:1963;1145-1149.
21. Hirsch, C., 1988. Numerical computation of internal and external flows. Volume 1: Fundamentals of numerical discretization. Wiley Series in Numerical Methods in Engineering. Wiley/Interscience, Chichester, UK.
22. Iyengar S.R.K., Mittal R.C., High accuracy difference schemes for the cylindrical heat conduction equation. J. Inst. Math. Appl. 22:1978;321-330.
23. Jain R.A., Rhodes C.T., Railkar A.M., Waseem Malick A., Shah N.H., Controlled release of drugs from injectable in situ formed biodegradable PLGA microspheres: effect of various formulation variables. Eur. J. Pharm. Biopharm. 50:2000;257-262.
24. Jalil R., Nixon J.R., Biodegradable poly(lactic acid) and poly(lactide-co-glycolide) microcapsules: problems associated with preparative techniques and release properties. J. Microencapsul. 7:1990;297-325.
25. Joshi A., Himmelstein K.J., Dynamics of controlled release from bioerodible matrices. J. Control. Release. 15:1991;95-104.
26. Kissel T., Li Y.X., Volland C., Görich R., Koneberg R., Parental protein delivery systems using biodegradable polyester of ABA block structure, containing hydrophobic poly(lactide-co-glycolide) A blocks and hydrophilic poly(ethylene oxide) B blocks. J. Control. Release. 39:1996;315-326.
27. Lacasse, F.-X., 1999. Développement et mise au point d'un système microparticulaire pour implantation vasculaire et périvasculaire. Ph.D. thesis, Université de Montréal.
28. Lacasse F.-X., Hildgen P., Pérodin J., Escher E., Phillips N.C., McMullen J.N., Improved activity of a new angiotensin receptor antagonist by an injectable spray-dried polymer microsphere preparation. Pharm. Res. 14:1997;887-891.
29. Lacasse F.X., Fillion M.C., Phillips N.C., Escher E., McMullen J.N., Hildgen P., Influence of surface properties at biodegradable microsphere surfaces: effects on plasma protein adsorption and phagocytosis. Pharm. Res. 15:1998;312-317.
30. Lee P.I., Diffusional release of a solute from a polymeric matrix - approximate analytical solutions. J. Membr. Sci. 7:1980;255-275.
31. Lee A.J., King J.R., Hibberd S., Mathematical modelling of the release of drug from porous, nonswelling transdermal drug-delivery devices. IMA J. Math. Appl. Med. Biol. 15:1998;135-163.
32. Liu L.S., Liu S.-Q., Ng S.Y., Froix M., Ohno T., Heller J., Controlled release of interleukin-2 for tumour immunotherapy using alginate/chitosan porous microspheres. J. Control. Release. 43:1997;65-74.
33. McGee J.P., Davis S.S., O'Hagan D.T., Zero order release of protein from poly(D, L-lactide-co-glycolide) microparticles prepared using a modified phase separation technique J. Control. Release. 34:1995;77-86.
34. Mohanty K.K., Ottino J.M., Davis H.T., Reaction transport in disordered composite media: introduction of percolation concepts. Chem. Eng. Sci. 37:1982;905-924.
35. Niwa T., Takeuchi H., Hino T., Kunou N., Kawashima Y., Preparations of biodegradable nanospheres of water-soluble and insoluble drugs with. D, L-lactide/glycolide copolymer by a novel spontaneous emulsification solvent diffusion method and drug release behavior J. Control. Release. 25:1993;89-98.
36. Ottino J.M., Shah N., Analysis of transient sorption and permeation of small molecules in multiphase polymer systems. Polym. Eng. Sci. 24:1984;153-162.
37. Pitt C.G., Schindler A., The kinetics of drug cleavage and release from matrices containing covalent polymer-drug conjugates. J. Control. Release. 33:1995;391-395.
38. Ravivarapu H.B., Burton K., DeLuca P.P., Polymer and microsphere blending to alter the release of a peptide from PLGA microspheres. Eur. J. Pharm. Biopharm. 50:2000;263-270.
39. Sah H.K., Toddywala R., Chien Y.W., The influence of biodegradable microcapsule formulations on the controlled release of a protein. J. Control. Release. 30:1994;201-211.
40. Shah S.S., Cha Y., Pitt C.G., Poly(glycolic acid-co-. D, L-lactic acid): diffusion or degradation controlled delivery? J. Control. Release. 18:1992;261-270.
41. Siegel, R.A., 1989. Modeling of drug release from porous polymers. In: Rosoff, M. (Ed.), Controlled Release of Drugs: Polymers and Aggregate Systems. VCH Publishers, Weinheim, Chapter 1, pp. 1-51.
42. Siegel R.A., Kost J., Langer R., Mechanistic studies of macromolecular drug release from macroporous polymers. I. Experiments and preliminary theory concerning comleteness of drug release. J. Control. Release. 8:1989;223-236.
43. Siepmann J., Peppas N.A., Hydrophilic matrices for controlled drug delivery: an improved mathematical model to predict the resulting drug release kinetics (the "sequential layer" model). Pharm. Res. 17:2000;1290-1298.
44. Siepmann J., Lecomte F., Bodmeier R., Diffusion-controlled drug delivery systems: calculation of the required composition to achieve desired release profiles. J. Control. Release. 60:1999;379-389.
45. Tzafriri A.R., Mathematical modeling of diffusion-mediated release from bulk degrading matrices. J. Control. Release. 63:2000;69-79.
46. Veronese F.M., Marsilio F., Caliceti P., De Filippis P., Giunchedi P., Lora S., Polyorganophosphazene microspheres for drug release: polymer synthesis, microsphere preparation, in vitro and in vivo naproxen. J. Control. Release. 52:1998;227-237.
47. Wada R., Hyon S.-H., Ikada Y., Kinetics of diffusion-mediated drug release enhanced by matrix degradation. J. Control. Release. 37:1995;151-160.
48. Yang Y.-Y., Chia H.-H., Chung T.-S., Effect of preparation temperature on the characteristics and release profiles of PLGA microspheres containing protein fabricated by double-emulsion solvent extraction/evaporation method. J. Control. Release. 69:2000;81-96.
49. Zygourakis K., Development and temporal evolution of erosion fronts in bioerodible controlled release devices. Chem. Eng. Sci. 45:1990;2359-2366.