Experimental and modeling analysis of diffusive release from single-shell microcapsules

AIChE Journal

Volumn 55, Issue 11, 2009, Pages 2950-2965

  Tavera, Enrique Muñoz ^a,b   Kadali, Shyam B ^a   Bagaria, Hitesh G ^a   Liu, Amy W ^b   Wong, Michael S ^a,b  

^a Rice University   (United States)

^b RICE UNIVERSITY   (United States)

Author keywords

Composite materials; Controlled release formulations; Mass transfer; Mathematical modeling; Nanotechnology

Indexed keywords

ANALYTICAL SOLUTIONS; CHEMICAL TRANSPORT; COMMON STRUCTURES; CONCENTRATION PROFILES; CONTROLLED RELEASE; CONTROLLED RELEASE FORMULATIONS; DIFFUSION COEFFICIENTS; FLUORESCENT DYES; MATHEMATICAL MODELING; MICROCAPSULES; MODELING ANALYSIS; MODELING APPROACH; MULTI-LAYERED; MULTI-LAYERED FILMS; PLANAR GEOMETRIES; RELEASE KINETICS; SHELL WALL; SPHERICAL CAPSULE; STURM-LIOUVILLE;

COMPOSITE MATERIALS; COMPOSITE MICROMECHANICS; MASS TRANSFER; NANOTECHNOLOGY; OPTICAL MICROSCOPY;

ENCAPSULATION;

EID: 70350647562     PISSN: 00011541     EISSN: 15475905     Source Type: Journal    
DOI: 10.1002/aic.11914     Document Type: Article

References (110)

1. Gregoriades G, editor. Liposomal Technology, 2nd ed. Boca Raton, FL: CRC Press, 1993:1-3.
2. Lasic D. Liposomes. Am Sci. 1992;80:20-31.
3. Torchilin VP, Trubetskoy VS, Milshteyn AM, Canillo J, Wolf GL, Papisov MI, Bogdanov AA, Narula J, Khaw BA, Omelyanenko VG. Targeted delivery of diagnostic agents by surfacemodified liposomes. J Control Release. 1994;28:45-58.
4. Srivastava A, Eisenthal KB. Kinetics of molecular transport across a liposome bilayer. Chem Phys Lett. 1998;292:345-351.
5. Ross PC, Hensen ML, Supabphol R, Hui SW. Multilamellar cationic liposomes are efficient vectors for in vitro gene transfer in serum. J Liposome Res. 1998;8:499-520.
6. Skirtach AG, Dejugnat C, Braun D, Susha AS, Rogach AL, Parak WJ, Mohwald H, Sukhorukov GB. The role of metal nanoparticles in remote release of encapsulated materials. Nano Lett. 2005;5: 1371-1377.
7. Caruso F, Caruso RA, Mohwald H. Nanoengineering of inorganic and hybrid hollow spheres by colloidal templating. Science. 1998;282:1111-1114.
8. Skirtach AG, Javier AM, Kreft O, Kohler K, Alberola AP, Mohwald H, Parak WJ, Sukhorukov GB. Laser-induced release of encapsulated materials inside living cells. Angew Chem Int Ed. 2006;45:4612-4617.
9. Yu J, Murthy VS, Rana RK, Wong MS. Synthesis of nanoparticle-assembled tin oxide/polymer microcapsules. Chem Commun. 2006:1097-1099.
10. Rana RK, Murthy VS, Yu J, Wong MS. Nanoparticle self-assembly of hierarchically ordered microcapsule structures. Adv Mater. 2005;17:1145-1150.
11. Murthy VS, Rana RK, Wong MS. Nanoparticle-assembled capsule synthesis: formation of colloidal polyamine-salt intermediates. J Phys Chem B. 2006;110:25619-25627.
12. Kadali SB, Soultanidis N, Wong MS. Assembling colloidal silica into porous hollow microspheres. Top Catal. 2008;49:251-258.
13. Fischer S, Foerg C, Ellenberger S, Merkle HP, Gander B. Onestep preparation of polyelectrolyte-coated PLGA microparticles and their functionalization with model ligands. J Control Release. 2006;111:135-144.
14. Chen HM, Wei OY, Jones M, Metz T, Martoni C, Haque T, Cohen R, Lawuyi B, Prakash S. Preparation and characterization of novel polymeric microcapsules for live cell encapsulation and therapy. Cell Biochem Biophys. 2007;47:159-167.
15. Schlocker W, Gschliesser S, Bernkop-Schnurch A. Evaluation of the potential of air jet milling of solid protein-poly(acrylate) complexes for microparticle preparation. Eur J Pharm Biopharm. 2006;62:260-266.
16. Lameiro MH, Lopes A, Martins LO, Alves PM, Melo E. Incorporation of a model protein into chitosan-bile salt microparticles. Int J Pharm. 2006;312:119-130.
17. Iemma F, Spizzirri UG, Puoci F, Muzzalupo R, Trombino S, Cassano R, Leta S, Picci N. pH-Sensitive hydrogels based on bovine serum albumin for oral drug delivery. Int J Pharm. 2006;312:151-157.
18. Dai CY, Wang BC, Zhao HW, Li B, Wang H. Preparation and characterization of liposomes-in-alginate (LIA) for protein delivery system. Colloids Surf B Biointerfaces. 2006;47:205-210.
19. Quaglia F, Ostacolo L, Nese G, De Rosa G, La Rotonda MI, Palumbo R, Maglio G. Microspheres made of poly(epsilon-caprolactone)-based amphiphilic copolymers: potential in sustained delivery of proteins. Macromol Biosci. 2005;5:945-954.
20. Zhang Y, Zhu W, Ding JD. Preparation of thermosensitive microgels via suspension polymerization using different temperature protocols. J Biomed Mater Res A. 2005;75A:342-349.
21. L- histidine) microcapsules as drug carriers: in vitro protein release and short term stability. Macromol Biosci. 2005;5:408-414.
22. Liu JB, Zeng FQ, Allen C. Influence of serum protein on polycarbonate-based copolymer micelles as a delivery system for a hydrophobic anti-cancer agent. J Control Release. 2005;103:481-497.
23. Cruz L, Schaffazick SR, Dalla Costa T, Soares LU, Mezzalira G, da Silveira NP, Schapoval EES, Pohlmann AR, Guterres SS. Physico-chemical characterization and in vivo evaluation of indomethacin ethyl ester-loaded nanocapsules by PCS, TEM, SAXS, interfacial alkaline hydrolysis and antiedematogenic activity. J Nanosci Nanotechnol. 2006;6:3154-3162.
24. Devarajan PV, Sonavane GS. Preparation and in vitro/in vivo evaluation of gliclazide loaded Eudragit nanoparticles as a sustained release carriers. Drug Dev Ind Pharm. 2007;33:101-111.
25. Chan Y, Bulmus V, Zareie MH, Byrne FL, Barner L, Kavallaris M. Acid-cleavable polymeric core-shell particles for delivery of hydrophobic drugs. J Control Release. 2006;115:197-207.
26. Mainardes RM, Chaud MV, Gremiao MPD, Evangelista RC. Development of praziquantel-loaded PLGA nanoparticles and evaluation of intestinal permeation by the everted gut Sac model. J Nanosci Nanotechnol. 2006;6:3057-3061.
27. Obeidat WM, Price JC. Preparation and evaluation of Eudragit S 100 microspheres as pH-sensitive release preparations for piroxicam and theophylline using the emulsion-solvent evaporation method. J Microencapsul. 2006;23:195-202.
28. Jaspart S, Bertholet P, Piel G, Dogne JM, Delattre L, Evrard B. Solid lipid microparticles as a sustained release system for pulmonary drug delivery. Eur J Pharm Biopharm. 2007;65:47-56.
29. Wang LQ, Cui FD. Chitosan-thioglycolic acid conjugate microspheres: their use for oral delivery of rEPO. J Drug Deliv Sci Technol. 2006;16:421-426.
30. Wang YS, Liu LR, Jiang Q, Zhang QQ. Self-aggregated nanoparticles of cholesterol-modified chitosan conjugate as a novel carrier of epirubicin. Eur Polym J. 2007;43:43-51. (Pubitemid 44894416)
31. Lin YH, Mi FL, Chen CT, Chang WC, Peng SF, Liang HF, Sung HW. Preparation and characterization of nanoparticles shelled with chitosan for oral insulin delivery. Biomacromolecules. 2007; 8:146-152.
32. Zhang WF, Chen XG, Li PW, He QZ, Zhou HY. Chitosan and chitosan/beta-cyclodextrin microspheres as sustained-release drug carriers. J Appl Polym Sci. 2007;103:1183-1190.
33. Zhou HY, Chen XG, Liu CS, Meng XH, Yu LJ, Liu XY, Liu N. Chitosan/cellulose acetate microspheres preparation and ranitidine release in vitro. Pharm Dev Technol. 2005;10:219-225.
34. Ko JA, Park HJ, Hwang SJ, Park JB, Lee JS. Preparation and characterization of chitosan microparticles intended for controlled drug delivery. Int J Pharm. 2002;249:165-174.
35. Sezer AD, Akbuga J. Fucosphere-new microsphere carriers for peptide and protein delivery: preparation and in vitro characterization. J Microencapsul. 2006;23:513-522.
36. Wang CQ, Li GT, Tao SY, Guo RR, Yan Z. Crystalline and micellar properties of amphiphilic biodegradable chitooligosaccharide-graft-poly(epsilon- caprolactone) copolymers. Carbohydr Polym. 2006;64:466-472.
37. Parodi B, Sillo G, Russo E, Caviglioli G, Cafaggi S, Bignardi G. Optimization of cross-linked high amylose starch microspheres containing 5-fluorouracil. J Drug Deliv Sci Technol. 2006;16:427-435.
38. Martinez-Sancho C, Herrero-Vanrell R, Negro S. Vitamin A palmitate and aciclovir biodegradable microspheres for intraocular sustained release. Int J Pharm. 2006;326:100-106.
39. Chen LY, Subirade M. Alginate-whey protein granular microspheres as oral delivery vehicles for bioactive compounds. Biomaterials. 2006;27:4646-4654.
40. L-lactideco-glycolide) with varying compositions. Biomaterials. 2005;26: 5064-5074.
41. Tian L, Hammond PT. Comb-dendritic block copolymers as treeshaped macromolecular amphiphiles for nanoparticle self-assembly. Chem Mater. 2006;18:3976-3984.
42. Giacomelli C, Le Men L, Borsali R, Lai-Kee-Him J, Brisson A, Armes SP, Lewis AL. Phosphorylcholine-based pH-responsive diblock copolymer micelles as drug delivery vehicles: light scattering, electron microscopy, and fluorescence experiments. Biomacromolecules. 2006;7:817-828.
43. Crothers M, Zhou ZY, Ricardo NMPS, Yang Z, Taboada P, Chaibundit C, Attwood D, Booth C. Solubilisation in aqueous micellar solutions of block copoly(oxyalkylene)s. Int J Pharm. 2005; 293:91-100.
44. Zhang Y, Zhuo RX. Synthesis and drug release behavior of poly (trimethylene carbonate)-poly(ethylene glycol)-poly(trimethylene carbonate) nanoparticles. Biomaterials. 2005;26:2089-2094. (Pubitemid 39575351)
45. Oh KT, Bronich TK, Kabanov AV. Micellar formulations for drug delivery based on mixtures of hydrophobic and hydrophilic Pluronic(( R)) block copolymers. J Control Release. 2004;94:411-422.
46. Tang YQ, Liu SY, Armes SP, Billingham NC. Solubilization and controlled release of a hydrophobic drug using novel micelleforming ABC triblock copolymers. Biomacromolecules. 2003;4: 1636-1645.
47. Ge HX, Hu Y, Jiang XQ, Cheng DM, Yuan YY, Bi H, Yang CZ. Preparation, characterization, and drug release behaviors of drug nimodipine-loaded poly(epsilon-caprolactone)-poly(ethylene oxide)-poly(epsilon-caprolactone) amphiphilic triblock copolymer micelles. J Pharm Sci. 2002;91:1463-1473.
48. Hagan SA, Coombes AGA, Garnett MC, Dunn SE, Davis MC, Illum L, Davis SS, Harding SE, Purkiss S, Gellert PR. Polylactide-poly(ethylene glycol) copolymers as drug delivery systems. I. Characterization of water dispersible micelle-forming systems. Langmuir. 1996;12:2153-2161.
49. Zawaneh PN, Doody AM, Zelikin AN, Putnam D. Diblock copolymers based on dihydroxyacetone and ethylene glycol: synthesis, characterization, and nanoparticle formulation. Biomacromolecules. 2006;7:3245-3251.
50. Huang JJ, Wigent RJ, Schwartz JB. Nifedipine molecular dispersion in microparticles of ammonio methacrylate copolymer and ethylcellulose binary blends for controlled drug delivery: effect of matrix composition. Drug Dev Ind Pharm. 2006;32:1185-1197.
51. Oh KT, Bronich TK, Bromberg L, Hatton TA, Kabanov AV. Block ionomer complexes as prospective nanocontainers for drug delivery. J Control Release. 2006;115:9-17.
52. Gao CS, Huang J, Jiao Y, Shan L, Liu Y, Li Y, Mei XG. In vitro release and in vivo absorption in beagle dogs of meloxicam from Eudragit (R) FS 30 D-coated pellets. Int J Pharm. 2006;322:104-112.
53. Gaber NN, Darwis Y, Peh KK, Tan YTF. Characterization of polymeric micelles for pulmonary delivery of beclomethasone dipropionate. J Nanosci Nanotechnol. 2006;6:3095-3101.
54. Wei H, Zhang XZ, Zhou Y, Cheng SX, Zhuo RX. Self-assembled thermoresponsive micelles of poly(N-isopropylacrylamide-bmethyl methacrylate). Biomaterials. 2006;27:2028-2034.
55. Liu XM, Yang YY, Leong KW. Thermally responsive polymeric micellar nanoparticles self-assembled from cholesteryl end-capped random poly(N-isopropylacrylamide-co-N,N-dimethylacrylamide): synthesis, temperature-sensitivity, and morphologies. J Colloid Interface Sci. 2003;266:295-303.
56. Kurkuri MD, Aminabhavi TM. Poly(vinyl alcohol) and poly(acrylic acid) sequential interpenetrating network pH-sensitive microspheres for the delivery of diclofenac sodium to the intestine. J Control Release. 2004;96:9-20.
57. Gupta KC, Kumar MNVR. Preparation, characterization and release profiles of pH-sensitive chitosan beads. Polym Int. 2000;49:141-146.
58. Kayaman-Apohan N, Akdemir ZS. Synthesis and characterization of pendant carboxylic acid functional poly(lactic acid) and poly (lactic acid-co-glycolic acid) and their drug release behaviors. Polym Adv Technol. 2005;16:807-812.
59. Zaghloul AAA, Mustafa F, Siddiqu A, Khan M. Biodegradable microparticulates of beta-estradiol: preparation and in vitro characterization. Drug Dev Ind Pharm. 2005;31:803-811.
60. Desai KGH, Park HJ. Preparation and characterization of drugloaded chitosan-tripolyphosphate microspheres by spray drying. Drug Dev Res. 2005;64:114-128.
61. L-lactic acid) nanoparticles. Eur Polym J. 2005;41:375-382.
62. Miyazaki Y, Yakou S, Nagai T, Takayama K. Release profiles of theophylline from microspheres consisting of dextran derivatives and cellulose acetate butyrate: effect of polyion complex formation. Drug Dev Ind Pharm. 2003;29:795-804. (Pubitemid 36899886)
63. Higuchi T. Rate of release of medicaments from ointment bases containing drugs in suspension. J Pharm Sci. 1961;50:874-875.
64. Higuchi T. Mechanism of sustained-action medication-theoretical analysis of rate of release of solid drugs dispersed in solid matrices. J Pharm Sci. 1963;52:1145-1149.
65. Faisant N, Akiki J, Siepmann F, Benoit JP, Siepmann J. Effects of the type of release medium on drug release from PLIGA-based microparticles: experiment and theory. Int J Pharm. 2006;314: 189-197.
66. Liu CS, Desai KGH, Tang XX, Chen XG. Drug release kinetics of spray-dried chitosan microspheres. Dry Technol. 2006;24:769-776.
67. Kanjickal DG, Lopina ST. Modeling of drug release from polymeric delivery systems-a review. Crit Rev Ther Drug Carrier Syst. 2004;21:345-386.
68. Faisant N, Siepmann J, Richard J, Benoit JP. Mathematical modeling of drug release from bioerodible microparticles: effect of gamma-irradiation. Eur J Pharm Biopharm. 2003;56:271-279.
69. Siepmann J, Gopferich A. Mathematical modeling of bioerodible, polymeric drug delivery systems. Adv Drug Del Rev. 2001;48: 229-247.
70. Jo YS, Kim MC, Kim DK, Kim CJ, Jeong YK, Kim KJ, Muhammed M. Mathematical modelling on the controlled-release of indomethacin-encapsulated poly(lactic acid-co-ethylene oxide) nanospheres. Nanotechnology. 2004;15:1186-1194.
71. Frenning G. Theoretical investigation of drug release from planar matrix systems: effects of a finite dissolution rate. J Control Release. 2003;92:331-339.
72. Abdekhodaie MJ. Diffusional release of a solute from a spherical reservoir into a finite external volume. J Pharm Sci. 2002;91: 1803-1809.
73. Polakovic M, Gorner T, Gref R, Dellacherie E. Lidocaine loaded biodegradable nanospheres. II. Modelling of drug release. J Control Release. 1999;60:169-177.
74. Vanbommel EMG, Dezentje RFR, Crommelin DJA, Fokkens JG. Drug release kinetics from the gradient matrix system-mathematical-modeling. Int J Pharm. 1991;72:19-27.
75. Faisant N, Siepmann J, Benoit JP. PLGA-based microparticles: elucidation of mechanisms and a new, simple mathematical model quantifying drug release. Eur J Pharm Sci. 2002;15:355-366. (Pubitemid 34436923)
76. Siepmann J, Peppas NA. Mathematical modeling of controlled drug delivery. Adv Drug Del Rev. 2001;48:137-138.
77. Kosmidis K, Argyrakis P, Macheras P. A reappraisal of drug release laws using Monte Carlo simulations: the prevalence of the Weibull function. Pharm Res. 2003;20:988-995.
78. Li H, Yan GP, Wu SN, Wang ZJ, Lam KY. Numerical simulation of controlled nifedipine release from chitosan microgels. J Appl Polym Sci. 2004;93:1928-1937.
79. Siepmann J, Faisant N, Benoit JP. A new mathematical model quantifying drug release from bioeridible microparticles using Monte Carlo simulations. Pharm Res. 2002;19:1885-1893. (Pubitemid 36016038)
80. Siepmann J, Peppas NA. Hydrophilic matrices for controlled drug delivery: an improved mathematical model to predict the resulting drug release kinetics (the 'sequential' layer model). Pharm Res. 2000;17:1290-1298.
81. Siepmann J, Streubel A, Peppas NA. Understanding and predicting drug delivery from hydrophilic matrix tablets using the "sequential layer" model. Pharm Res. 2002;19:306-314.
82. Frenning G, Stromme M. Drug release modeled by dissolution, diffusion, and immobilization. Int J Pharm. 2003;250:137-145.
83. Siepmann J, Podual K, Sriwongjanya M, Peppas NA, Bodmeier R. A new model describing the swelling and drug release kinetics from hydroxypropyl methylcellulose tablets. J Pharm Sci. 1999; 88:65-72.
84. Zygourakis K. Discrete simulations and bioerodible controlled release systems. Polym Prep ACS 30, 1989;456-457.
85. Zygourakis K. Development and temporal evolution of erosion fronts in bioerodible controlled release devices. Chem Eng Sci. 1990;45:2359-2366.
86. Gienger G, Knoch A, Merkle HP. Modeling and numerical computation of drug transport in laminates-model case evaluation of transdermal delivery system. J Pharm Sci. 1986;75:9-15.
87. Kalia YN, Guy RH. Modeling transdermal drug release. Adv Drug Deliv Rev. 2001;48:159-172.
88. Ramkrishna D, Amundson NR. Transport in composite-materials-reduction to a self-adjoint formalism. Chem Eng Sci. 1974;29:1457-1464.
89. Locke BR, Arce P, Park Y. Applications of self-adjoint operators to electrophoretic transport, enzyme-reactions, and microwaveheating problems in composite media. II. Electrophoretic transport in layered membranes. Chem Eng Sci. 1993;48:4007-4022.
90. Vaidya DS, Nitsche JM, Diamond SL, Kofke DA. Convection-diffusion of solutes in media with piecewise constant transport properties. Chem Eng Sci. 1996;51:5299-5312.
91. Locke BR, Arce P. Applications of self-adjoint operators to electrophoretic transport, enzyme-reactions, and microwave-heating problems in composite media. I. General formulation. Chem Eng Sci. 1993;48:1675-1686.
92. Lu XS, Viljanen M. An analytical method to solve heat conduction in layered spheres with time-dependent boundary conditions. Phys Lett A. 2006;351:274-282.
93. Fredman TP. An analytical solution method for composite layer diffusion problems with an application in metallurgy. Heat Mass Transf. 2003;39:285-295.
94. Johnston PR. Diffusion in composite media-solution with simple eigenvalues and eigenfunctions. Math Comput Model. 1991;15:115-123.
95. Bouzidi M. Transient heat diffusion in multilayered composite media and eigenvalue problem. I. A single multilayered wall. Int J Heat Mass Transf. 1991;34:1259-1270.
96. Mikhailov MD, Ozisik MN, Vulchanov NL. Diffusion in composite layers with automatic solution of the eigenvalue problem. Int J Heat Mass Transf. 1983;26:1131-1141.
97. Mitlin V, Bromberg L. Analysis of diffusion through composite membranes. I. Mathematical development. Chem Eng Sci. 1992; 47:695-703.
98. Dong W, Bodmeier R. Encapsulation of lipophilic drugs within enteric microparticles by a novel coacervation method. Int J Pharm. 2006;326:128-138.
99. Katsikogianni G, Avgoustakis K. Poly(lactide-co-glycolide)-methoxy- poly(ethylene glycol) nanoparticles: drug loading and release properties. J Nanosci Nanotechnol. 2006;6:3080-3086.
100. Formariz TR, Sarmento VHV, Silva-Junior AA, Scarpa MV, Santilli CV, Oliveira AG. Doxorubicin biocompatible O/W microemulsion stabilized by mixed surfactant containing soya phosphatidylcholine. Colloids Surf B Biointerfaces. 2006;51:54-61.
101. Memisoglu-Bilensoy E, Sen M, Hincal AA. Effect of drug physicochemical properties on in vitro characteristics of amphiphilic cyclodextrin nanospheres and nanocapsules. J Microencapsul. 2006;23:59-68.
102. Belfiore LA. Laminar boundary layer mass transfer around solid spheres, gas bubbles, and other submerged objects. In: Transport Phenomena for Chemical Reactor Design, 1st ed. Hoboken, New Jersey: John Wiley and Sons, 2002:275-360.
103. Morse PM, Feshbach H. Boundary conditions and eigenfunctions. In: Methods of Theoretical Physics, Vol. 1. New York: McGraw-Hill, 1953:676-790.
104. Carslaw HS, Jaeger JC. Conduction of Heat in Solids, 2nd ed., New York: Oxford University press, 1959.
105. Crank J. The Mathematics of Diffusion, 2nd ed. New York: Oxford University press, 1975.
106. Kärger J, Douglas MR. Diffusion in Zeolites and Other Microporous Solids, 1st ed. New York: John Wiley & Sons, 1992.
107. Peyratout CS, Dahne L. Tailor-made polyelectrolyte microcapsules: from multilayers to smart containers. Angew Chem Int Ed. 2004;43:3762-3783.
108. Antipov AA, Sukhorukov GB. Polyelectrolyte multilayer capsules as vehicles with tunable permeability. Adv Colloid Interface Sci. 2004;111:49-61.
109. Kotarek JA, Johnson KC, Moss MA. Quartz crystal microbalance analysis of growth kinetics for aggregation intermediates of the amyloid-beta protein. Anal Biochem. 2008;378:15-24.
110. VonKlitzing R, Mohwald H. A realistic diffusion model for ultrathin polyelectrolyte films. Macromolecules. 1996;29:6901-6906. (Pubitemid 126536661)