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Volumn 418, Issue 1, 2011, Pages 88-99

Modelling drug release from inert matrix systems: From moving-boundary to continuous-field descriptions

Author keywords

Continuous field descriptions; Drug release; Mathematical modelling; Matrix systems; Monolithic systems; Moving boundary descriptions

Indexed keywords

DIFFUSION; DRUG DELIVERY SYSTEM; DRUG RELEASE; DRUG SOLUBILITY; GEOMETRY; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; PRIORITY JOURNAL; REVIEW; SYSTEM ANALYSIS;

EID: 80052846938     PISSN: 03785173     EISSN: 18733476     Source Type: Journal    
DOI: 10.1016/j.ijpharm.2010.11.030     Document Type: Review
Times cited : (74)

References (105)
  • 2
    • 0025849871 scopus 로고
    • Computer simulations of catalyst deactivation. I. Model formulation and validation
    • DOI 10.1016/0009-2509(91)87020-D
    • S. Arbabi, and M. Sahimi Computer-simulations of catalyst deactivation. I. Model formulation and validation Chem. Eng. Sci. 46 1991 1739 1747 (Pubitemid 21714195)
    • (1991) Chemical Engineering Science , vol.46 , Issue.7 , pp. 1739-1747
    • Arbabi, S.1    Sahimi, M.2
  • 3
    • 0017598227 scopus 로고
    • Diffusion model for drug release from suspensions. I. Theoretical considerations
    • J.W. Ayres, and F.T. Lindstrom Diffusion model for drug release from suspensions.I: Theoretical considerations J. Pharm. Sci. 66 1977 654 662 (Pubitemid 8091923)
    • (1977) Journal of Pharmaceutical Sciences , vol.66 , Issue.5 , pp. 654-662
    • Ayres, J.W.1    Lindstrom, F.T.2
  • 4
    • 43449086999 scopus 로고    scopus 로고
    • A problem for drug release from 2D polymeric systems
    • R. Blagoeva, and A. Nedev A problem for drug release from 2D polymeric systems Mech. Res. Commun. 35 2008 344 349
    • (2008) Mech. Res. Commun. , vol.35 , pp. 344-349
    • Blagoeva, R.1    Nedev, A.2
  • 5
    • 0025777444 scopus 로고
    • Matrix type controlled release systems.I. Effect of percolation on drug dissolution kinetics
    • J.D. Bonny, and H. Leuenberger Matrix type controlled release systems.I. Effect of percolation on drug dissolution kinetics Pharm. Acta Helv. 66 1991 160 164
    • (1991) Pharm. Acta Helv. , vol.66 , pp. 160-164
    • Bonny, J.D.1    Leuenberger, H.2
  • 6
    • 0027457422 scopus 로고
    • Determination of fractal dimensions of matrix-type solid dosage forms and their relation with drug dissolution kinetics
    • J.D. Bonny, and H. Leuenberger Determination of fractal dimensions of matrix-type solid dosage forms and their relation with drug dissolution kinetics Eur. J. Pharm. Biopharm. 39 1993 31 37 (Pubitemid 23107532)
    • (1993) European Journal of Pharmaceutics and Biopharmaceutics , vol.39 , Issue.1 , pp. 31-37
    • Bonny, J.-D.1    Leuenberger, H.2
  • 7
    • 0037161328 scopus 로고    scopus 로고
    • Simulation and parametric study of a film-coated controlled-release pharmaceutical
    • DOI 10.1016/S0168-3659(02)00033-0, PII S0168365902000330
    • P. Borgquist, G. Zackrisson, B. Nilsson, and A. Axelsson Simulation and parametric study of a film-coated controlled-release pharmaceutical J. Control. Release 80 2002 229 245 (Pubitemid 34273762)
    • (2002) Journal of Controlled Release , vol.80 , Issue.1-3 , pp. 229-245
    • Borgquist, P.1    Zackrisson, G.2    Nilsson, B.3    Axelsson, A.4
  • 8
    • 67349222350 scopus 로고    scopus 로고
    • Implications of regular solution theory on the release mechanism of catanionic mixtures from gels
    • T. Bramer, G. Frenning, J. Grsjö, K. Edsman, and P. Hansson Implications of regular solution theory on the release mechanism of catanionic mixtures from gels Colloids Surf. B 71 2009 214 225
    • (2009) Colloids Surf. B , vol.71 , pp. 214-225
    • Bramer, T.1    Frenning, G.2    Grsjö, J.3    Edsman, K.4    Hansson, P.5
  • 9
    • 36849085961 scopus 로고    scopus 로고
    • Percolative drug diffusion from cylindrical matrix systems with unsealed boundaries
    • DOI 10.1002/jps.20915
    • U. Brohede, S. Valizadeh, M. Strømme, and G. Frenning Percolative drug diffusion from cylindrical matrix systems with unsealed boundaries J. Pharm. Sci. 96 2007 3087 3099 (Pubitemid 350221204)
    • (2007) Journal of Pharmaceutical Sciences , vol.96 , Issue.11 , pp. 3087-3099
    • Brohede, U.1    Valizadeh, S.2    Stromme, M.3    Frenning, G.4
  • 10
    • 0002642747 scopus 로고
    • Reaktionsgeschwindigkeit in heterogenen Systemen
    • E. Brunner Reaktionsgeschwindigkeit in heterogenen Systemen Z. Phys. Chem. 47 1904 56 102
    • (1904) Z. Phys. Chem. , vol.47 , pp. 56-102
    • Brunner, E.1
  • 11
    • 0000459203 scopus 로고
    • On controlled diffusion-limited drug release from a leaky matrix
    • A. Bunde, S. Havlin, R. Nossal, H.E. Stanley, and G.H. Weiss On controlled diffusion-limited drug release from a leaky matrix J. Chem. Phys. 83 1985 5909 5913
    • (1985) J. Chem. Phys. , vol.83 , pp. 5909-5913
    • Bunde, A.1    Havlin, S.2    Nossal, R.3    Stanley, H.E.4    Weiss, G.H.5
  • 12
    • 0032473381 scopus 로고    scopus 로고
    • Release rates from topical formulations containing drugs in suspension
    • DOI 10.1016/S0168-3659(97)00211-3, PII S0168365997002113
    • A.L. Bunge Release rates from topical formulations containing drugs in suspension J. Control. Release 52 1998 141 148 (Pubitemid 28123181)
    • (1998) Journal of Controlled Release , vol.52 , Issue.1-2 , pp. 141-148
    • Bunge, A.L.1
  • 13
    • 0023435415 scopus 로고
    • Diffusion in pore networks. Effective medium theory and smooth field approximation
    • V.N. Burganos, and S.V. Sotirchos Diffusion in pore networks. Effective medium theory and smooth field approximation AIChE J. 33 1987 1678 1689 (Pubitemid 18551855)
    • (1987) AIChE Journal , vol.33 , Issue.10 , pp. 1678-1689
    • Burganos, V.N.1    Sotirchos, S.V.2
  • 14
    • 34250131162 scopus 로고
    • An analysis of a phase field model of a free boundary
    • G. Caginalp An analysis of a phase field model of a free boundary Arch. Ration. Mech. Anal. 92 1986 205 245
    • (1986) Arch. Ration. Mech. Anal. , vol.92 , pp. 205-245
    • Caginalp, G.1
  • 15
    • 33646973938 scopus 로고
    • Stefan and Hele-Shaw type models as asymptotic limits of the phase-field equations
    • G. Caginalp Stefan and Hele-Shaw type models as asymptotic limits of the phase-field equations Phys. Rev. A 39 1989 5887 5896
    • (1989) Phys. Rev. A , vol.39 , pp. 5887-5896
    • Caginalp, G.1
  • 16
    • 0030012106 scopus 로고    scopus 로고
    • Relationship between drug percolation threshold and particle size in matrix tablets
    • DOI 10.1023/A:1016088424993
    • I. Caraballo, M. Millán, and A.M. Rabasco Relationship between drug percolation threshold and particle size in matrix tablets Pharm. Res. 13 1996 387 390 (Pubitemid 26112263)
    • (1996) Pharmaceutical Research , vol.13 , Issue.3 , pp. 387-390
    • Caraballo, I.1    Millan, M.2    Rabasco, A.M.3
  • 19
    • 0002631224 scopus 로고    scopus 로고
    • A Simple Level Set Method for Solving Stefan Problems
    • DOI 10.1006/jcph.1997.5721, PII S0021999197957211
    • S. Chen, B. Merriman, S. Osher, and P. Smereka A simple level set method for solving Stefan problems J. Comput. Phys. 135 1997 8 29 (Pubitemid 127343379)
    • (1997) Journal of Computational Physics , vol.135 , Issue.1 , pp. 8-29
    • Chen, S.1    Merriman, B.2    Osher, S.3    Smereka, P.4
  • 20
    • 0016206856 scopus 로고
    • Influence of shape factors on kinetics of drug release from matrix tablets.I. Theoretical
    • J. Cobby, M. Mayersohn, and G.C. Walker Influence of shape factors on kinetics of drug release from matrix tablets.I. Theoretical J. Pharm. Sci. 63 1974 725 732
    • (1974) J. Pharm. Sci. , vol.63 , pp. 725-732
    • Cobby, J.1    Mayersohn, M.2    Walker, G.C.3
  • 21
    • 0016153782 scopus 로고
    • Influence of shape factors on kinetics of drug release from matrix tablets.II. Experimental
    • J. Cobby, M. Mayersohn, and G.C. Walker Influence of shape factors on kinetics of drug release from matrix tablets.II. Experimental J. Pharm. Sci. 63 1974 732 737
    • (1974) J. Pharm. Sci. , vol.63 , pp. 732-737
    • Cobby, J.1    Mayersohn, M.2    Walker, G.C.3
  • 22
    • 0027626506 scopus 로고
    • Swelling-controlled release in hydrogel matrices for oral route
    • P. Colombo Swelling-controlled release in hydrogel matrices for oral route Adv. Drug Deliv. Rev. 11 1993 37 57 (Pubitemid 23257482)
    • (1993) Advanced Drug Delivery Reviews , vol.11 , Issue.1-2 , pp. 37-57
    • Colombo, P.1
  • 23
    • 0029078457 scopus 로고
    • Drug diffusion front movement is important in drug-release control from swellable matrix tablets
    • P. Colombo, R. Bettini, G. Massimo, P.L. Catellani, P. Santi, and N.A. Peppas Drug diffusion front movement is important in drug-release control from swellable matrix tablets J. Pharm. Sci. 84 1995 991 997
    • (1995) J. Pharm. Sci. , vol.84 , pp. 991-997
    • Colombo, P.1    Bettini, R.2    Massimo, G.3    Catellani, P.L.4    Santi, P.5    Peppas, N.A.6
  • 27
    • 0001559113 scopus 로고
    • Absorption by simultaneous diffusion and chemical reaction
    • P.V. Danckwerts Absorption by simultaneous diffusion and chemical reaction Trans. Faraday Soc. 46 1950 300 304
    • (1950) Trans. Faraday Soc. , vol.46 , pp. 300-304
    • Danckwerts, P.V.1
  • 28
    • 2442458696 scopus 로고    scopus 로고
    • Multi-scale modeling of dispersed gas-liquid two-phase flow
    • DOI 10.1016/j.ces.2004.01.038, PII S0009250904000971
    • N.G. Deen, A. van Sint Annaland, and J.A.M. Kuipers Multi-scale modeling of dispersed gas-liquid two-phase flow Chem. Eng. Sci. 59 2004 1853 1861 (Pubitemid 38641267)
    • (2004) Chemical Engineering Science , vol.59 , Issue.8-9 , pp. 1853-1861
    • Deen, N.G.1    Van Sint Annaland, M.2    Kuipers, J.A.M.3
  • 29
    • 0017219690 scopus 로고
    • Technique for solution of equations for fluid-solid reactions with diffusion
    • M. Delborghi, J.C. Dunn, and K.B. Bischoff Technique for solution of equations for fluid-solid reactions with diffusion Chem. Eng. Sci. 31 1976 6547 6554
    • (1976) Chem. Eng. Sci. , vol.31 , pp. 6547-6554
    • Delborghi, M.1    Dunn, J.C.2    Bischoff, K.B.3
  • 30
    • 7244239706 scopus 로고    scopus 로고
    • Multiscale modeling and computation
    • W. E, and B. Engquist Multiscale modeling and computation Notices Am. Math. Soc. 50 2003 1062 1070
    • (2003) Notices Am. Math. Soc. , vol.50 , pp. 1062-1070
    • W, E.1    Engquist, B.2
  • 31
    • 0001237487 scopus 로고
    • The dissolution and diffusion of aspirin in aqueous media
    • L.J. Edwards The dissolution and diffusion of aspirin in aqueous media Trans. Faraday Soc. 47 1951 1191 1210
    • (1951) Trans. Faraday Soc. , vol.47 , pp. 1191-1210
    • Edwards, L.J.1
  • 33
    • 0016053262 scopus 로고
    • Mass-transport phenomena and models - Theoretical concepts
    • G.L. Flynn, S.H. Yalkowsky, and T.J. Roseman Mass-transport phenomena and models - theoretical concepts J. Pharm. Sci. 63 1974 479 510
    • (1974) J. Pharm. Sci. , vol.63 , pp. 479-510
    • Flynn, G.L.1    Yalkowsky, S.H.2    Roseman, T.J.3
  • 34
    • 73949159280 scopus 로고    scopus 로고
    • A ceramic drug delivery vehicle for oral administration of highly potent opioids
    • J. Forsgren, E. Jämstorp, S. Bredenberg, H. Engqvist, and M. Strømme A ceramic drug delivery vehicle for oral administration of highly potent opioids J. Pharm. Sci. 99 2010 219 226
    • (2010) J. Pharm. Sci. , vol.99 , pp. 219-226
    • Forsgren, J.1    Jämstorp, E.2    Bredenberg, S.3    Engqvist, H.4    Strømme, M.5
  • 35
    • 0842276877 scopus 로고    scopus 로고
    • Theoretical investigation of drug release from planar matrix systems: Effects of a finite dissolution rate
    • DOI 10.1016/S0168-3659(03)00338-9, PII S0168365903003389
    • G. Frenning Theoretical investigation of drug release from planar matrix systems: effects of a finite dissolution rate J. Control. Release 92 2003 331 339 (Pubitemid 38366154)
    • (2003) Journal of Controlled Release , vol.92 , Issue.3 , pp. 331-339
    • Frenning, G.1
  • 36
    • 0842265899 scopus 로고    scopus 로고
    • Theoretical analysis of the release of slowly dissolving drugs from spherical matrix systems
    • DOI 10.1016/j.jconrel.2003.11.010
    • G. Frenning Theoretical analysis of the release of slowly dissolving drugs from spherical matrix systems J. Control. Release 95 2004 109 117 (Pubitemid 38167685)
    • (2004) Journal of Controlled Release , vol.95 , Issue.1 , pp. 109-117
    • Frenning, G.1
  • 38
    • 24944451498 scopus 로고    scopus 로고
    • Finite element analysis of the release of slowly dissolving drugs from cylindrical matrix systems
    • DOI 10.1016/j.jconrel.2005.06.016, PII S0168365905003019
    • G. Frenning, U. Brohede, and M. Strømme Finite element analysis of the release of slowly dissolving drugs from cylindrical matrix systems J. Control. Release 107 2005 320 329 (Pubitemid 41316294)
    • (2005) Journal of Controlled Release , vol.107 , Issue.2 , pp. 320-329
    • Frenning, G.1    Brohede, U.2    Stromme, M.3
  • 39
    • 79955597642 scopus 로고    scopus 로고
    • The release of catanionic mixtures embedded in gels: An approximate analytical analysis
    • in press
    • Frenning, G.; Grsjö, J.; Hansson, P.; in press. The release of catanionic mixtures embedded in gels: an approximate analytical analysis. AIChE J. http://dx.doi.org/10.1002/aic.12368.
    • AIChE J.
    • Frenning, G.1    Grsjö, J.2    Hansson, P.3
  • 40
    • 0037413417 scopus 로고    scopus 로고
    • Drug release modeled by dissolution, diffusion, and immobilization
    • DOI 10.1016/S0378-5173(02)00539-2, PII S0378517302005392
    • G. Frenning, and M. Strømme Drug release modeled by dissolution, diffusion, and immobilization Int. J. Pharm. 250 2003 137 145 (Pubitemid 35447944)
    • (2003) International Journal of Pharmaceutics , vol.250 , Issue.1 , pp. 137-145
    • Frenning, G.1    Stromme, M.2
  • 41
    • 0016994959 scopus 로고
    • A unified mathematical model for diffusion from drug-polymer composite tablets
    • J.C. Fu, C. Hagemeir, D.L. Moyer, and E.W. Ng A unified mathematical model for diffusion from drug-polymer composite tablets J. Biomed. Mater. Res. 10 1976 743 758
    • (1976) J. Biomed. Mater. Res. , vol.10 , pp. 743-758
    • Fu, J.C.1    Hagemeir, C.2    Moyer, D.L.3    Ng, E.W.4
  • 43
    • 84964236688 scopus 로고
    • The heat-balance integral and its application to problems involving a change of phase
    • T.R. Goodman The heat-balance integral and its application to problems involving a change of phase Trans. ASME 80 1958 335 342
    • (1958) Trans. ASME , vol.80 , pp. 335-342
    • Goodman, T.R.1
  • 44
    • 0030033719 scopus 로고    scopus 로고
    • Mechanisms of polymer degradation and erosion
    • DOI 10.1016/0142-9612(96)85755-3
    • A. Göpferich Mechanisms of polymer degradation and erosion Biomaterials 17 1996 103 114 (Pubitemid 26031366)
    • (1996) Biomaterials , vol.17 , Issue.2 , pp. 103-114
    • Gopferich, A.1
  • 47
    • 0020034585 scopus 로고
    • Modelling of sustained release of water soluble drugs from porous, hydrophobic polymers
    • DOI 10.1016/0142-9612(82)90057-6
    • R. Gurny, E. snd Doelker, and N.A. Peppas Modeling of sustained-release of water-soluble drugs from porous, hydrophobic polymers Biomaterials 3 1982 27 32 (Pubitemid 12104449)
    • (1982) Biomaterials , vol.3 , Issue.1 , pp. 27-32
    • Gurny, R.1    Doelker, E.2    Peppas, N.A.3
  • 48
    • 0023452103 scopus 로고
    • Diffusion in disordered media
    • S. Havlin, and D. Ben-Avraham Diffusion in disordered media Adv. Phys. 36 1987 695 798
    • (1987) Adv. Phys. , vol.36 , pp. 695-798
    • Havlin, S.1    Ben-Avraham, D.2
  • 49
    • 73049134701 scopus 로고
    • Rate of release of medicaments from ointment bases containing drugs in suspension
    • T. Higuchi Rate of release of medicaments from ointment bases containing drugs in suspension J. Pharm. Sci. 50 1961 874 875
    • (1961) J. Pharm. Sci. , vol.50 , pp. 874-875
    • Higuchi, T.1
  • 50
    • 0344893332 scopus 로고
    • Mechanisms of sustained action medication: Theoretical analysis of the rate of release of solid drugs dispersed in solid matrices
    • T. Higuchi Mechanisms of sustained action medication: theoretical analysis of the rate of release of solid drugs dispersed in solid matrices J. Pharm. Sci. 52 1963 1145 1149
    • (1963) J. Pharm. Sci. , vol.52 , pp. 1145-1149
    • Higuchi, T.1
  • 51
    • 84887725686 scopus 로고
    • Dependence of reaction velocity upon surface and agitation
    • A.W. Hixson, and J.H. Crowell Dependence of reaction velocity upon surface and agitation Ind. Eng. Chem. 23 1931 923 931
    • (1931) Ind. Eng. Chem. , vol.23 , pp. 923-931
    • Hixson, A.W.1    Crowell, J.H.2
  • 52
    • 33845552340 scopus 로고
    • Nonideal multicomponent mixed micelle model
    • P.M. Holland, and D.N. Rubingh Nonideal multicomponent mixed micelle model J. Phys. Chem. 87 1983 1984 1990
    • (1983) J. Phys. Chem. , vol.87 , pp. 1984-1990
    • Holland, P.M.1    Rubingh, D.N.2
  • 53
    • 0026864236 scopus 로고
    • Modelling of diffusion and reaction in porous catalysts using a random three-dimensional network model
    • DOI 10.1016/0009-2509(92)85023-5
    • M.P. Hollewand, and L.F. Gladden Modelling of diffusion and reaction in porous catalysts using a random three-dimensional network model Chem. Eng. Sci. 47 1992 1761 1770 (Pubitemid 23560286)
    • (1992) Chemical Engineering Science , vol.47 , Issue.7 , pp. 1761-1770
    • Hollewand, M.P.1    Gladden, L.F.2
  • 54
    • 0034601268 scopus 로고    scopus 로고
    • In vitro studies and modeling of a controlled-release device for root canal therapy
    • DOI 10.1016/S0168-3659(00)00225-X, PII S016836590000225X
    • J. Huang, H.L. Wong, Y. Zhou, X.Y. Wu, H. Grad, R. Komorowski, and S. Friedman In vitro studies and modeling of a controlled-release device for root canal therapy J. Control. Release 67 2000 293 307 (Pubitemid 30303843)
    • (2000) Journal of Controlled Release , vol.67 , Issue.2-3 , pp. 293-307
    • Huang, J.1    Wong, H.-L.2    Zhou, Y.3    Wu, X.Y.4    Grad, H.5    Komorowski, R.6    Friedman, S.7
  • 55
    • 0035850221 scopus 로고    scopus 로고
    • On the importance and mechanisms of burst release in matrix-controlled drug delivery systems
    • DOI 10.1016/S0168-3659(01)00248-6, PII S0168365901002486
    • X. Huang, and C.S. Brazel On the importance and mechanisms of burst release in matrix-controlled drug delivery systems J. Control. Release 73 2001 121 136 (Pubitemid 32539245)
    • (2001) Journal of Controlled Release , vol.73 , Issue.2-3 , pp. 121-136
    • Huang, X.1    Brazel, C.S.2
  • 57
    • 33749560184 scopus 로고
    • Percolation and conduction
    • S. Kirkpatrick Percolation and conduction Rev. Mod. Phys. 45 1973 574 588
    • (1973) Rev. Mod. Phys. , vol.45 , pp. 574-588
    • Kirkpatrick, S.1
  • 58
    • 0020539240 scopus 로고
    • Mechanisms of solute release from porous hydrophilic polymers
    • DOI 10.1016/0378-5173(83)90064-9
    • R.W. Korsmeyer, R. Gurny, E. Doelker, P. Buri, and N.A. Peppas Mechanisms of solute release from porous hydrophilic polymers Int. J. Pharm. 15 1983 25 35 (Pubitemid 13092121)
    • (1983) International Journal of Pharmaceutics , vol.15 , Issue.1 , pp. 25-35
    • Korsmeyer, R.W.1    Gurny, R.2    Doelker, E.3
  • 59
    • 0142058495 scopus 로고    scopus 로고
    • Fractal kinetics in drug release from finite fractal matrices
    • K. Kosmidis, P. Argyrakis, and P. Macheras Fractal kinetics in drug release from finite fractal matrices J. Chem. Phys. 119 2003 6373 6377
    • (2003) J. Chem. Phys. , vol.119 , pp. 6373-6377
    • Kosmidis, K.1    Argyrakis, P.2    MacHeras, P.3
  • 60
    • 0038537306 scopus 로고    scopus 로고
    • A reappraisal of drug release laws using Monte Carlo simulations: The prevalence of the Weibull function
    • DOI 10.1023/A:1024497920145
    • K. Kosmidis, P. Argyrakis, and P. Macheras A reappraisal of drug release laws using Monte Carlo simulations: the prevalence of the Weibull function Pharm. Res. 20 2003 988 995 (Pubitemid 36774268)
    • (2003) Pharmaceutical Research , vol.20 , Issue.7 , pp. 988-995
    • Kosmidis, K.1    Argyrakis, P.2    Macheras, P.3
  • 61
    • 84950232819 scopus 로고
    • Polymeric delivery systems for controlled drug release
    • R. Langer Polymeric delivery systems for controlled drug release Chem. Eng. Commun. 6 1980 1 48
    • (1980) Chem. Eng. Commun. , vol.6 , pp. 1-48
    • Langer, R.1
  • 63
    • 0031830585 scopus 로고    scopus 로고
    • Mathematical modelling of the release of drug from porous, nonswelling transdermal drug-delivery devices
    • A.J. Lee, J.R. King, and S. Hibberd Mathematical modelling of the release of drug from porous, nonswelling transdermal drug-delivery devices IMA J. Math. Appl. Med. Biol. 15 1998 135 163 (Pubitemid 28275851)
    • (1998) IMA Journal of Mathemathics Applied in Medicine and Biology , vol.15 , Issue.2 , pp. 135-163
    • Lee, A.J.1    King, J.R.2    Hibberd, S.3
  • 64
    • 0019130053 scopus 로고
    • Diffusional release of a solute from a polymeric matrix. Approximate analytical solutions
    • DOI 10.1016/S0376-7388(00)80472-X
    • P.I. Lee Diffusional release of a solute from a polymeric matrix - approximate analytical solutions J. Membr. Sci. 7 1980 255 275 (Pubitemid 11192791)
    • (1980) Journal of Membrane Science , vol.7 , Issue.3 , pp. 255-275
    • Lee, P.I.1
  • 65
    • 0021469397 scopus 로고
    • Effect of non-uniform initial drug concentration distribution on the kinetics of drug release from glassy hydrogel matrices
    • P.I. Lee Effect of non-uniform initial drug concentration distribution on the kinetics of drug release from glassy hydrogel matrices Polymer 25 1984 973 978
    • (1984) Polymer , vol.25 , pp. 973-978
    • Lee, P.I.1
  • 66
    • 0022472693 scopus 로고
    • Initial concentration distribution as a mechanism for regulating drug release from diffusion controlled and surface erosion controlled matrix systems
    • P.I. Lee Initial concentration distribution as a mechanism for regulating drug release from diffusion controlled and surface erosion controlled matrix systems J. Control. Release 4 1986 1 7 (Pubitemid 16067602)
    • (1986) Journal of Controlled Release , vol.4 , Issue.1 , pp. 1-7
    • Lee, P.I.1
  • 67
    • 0001021413 scopus 로고
    • Percolation theory - A novel approach to solid dosage form design
    • H. Leuenberger, B.D. Rohera, and C. Haas Percolation theory - a novel approach to solid dosage form design Int. J. Pharm. 38 1987 109 115
    • (1987) Int. J. Pharm. , vol.38 , pp. 109-115
    • Leuenberger, H.1    Rohera, B.D.2    Haas, C.3
  • 69
    • 33751195735 scopus 로고    scopus 로고
    • Hydrogels in controlled release formulations: Network design and mathematical modeling
    • C.C. Lin, and A.T. Metters Hydrogels in controlled release formulations: network design and mathematical modeling Adv. Drug Deliv. Rev. 58 2006 1379 1408
    • (2006) Adv. Drug Deliv. Rev. , vol.58 , pp. 1379-1408
    • Lin, C.C.1    Metters, A.T.2
  • 70
    • 49049106082 scopus 로고    scopus 로고
    • Insight into approximations for drug release from polymer matrix
    • S.H. Lin Insight into approximations for drug release from polymer matrix AICHE J. 54 2008 2220 2227
    • (2008) AICHE J. , vol.54 , pp. 2220-2227
    • Lin, S.H.1
  • 71
    • 0017619617 scopus 로고
    • Diffusion model for drug release from suspensions. II. Release to a perfect sink
    • F.T. Lindstrom, and J.W. Ayres Diffusion model for drug release from suspensions.II: Release to a perfect sink J. Pharm. Sci. 66 1977 662 668 (Pubitemid 8091924)
    • (1977) Journal of Pharmaceutical Sciences , vol.66 , Issue.5 , pp. 662-668
    • Lindstrom, F.T.1    Ayres, J.W.2
  • 72
    • 0031916369 scopus 로고    scopus 로고
    • The role of the drug/excipient particle size ratio in the percolation model for tablets
    • DOI 10.1023/A:1011906416291
    • M. Millán, I. Caraballo, and A.M. Rabasco The role of the drug/excipient particle size ratio in the percolation model for tablets Pharm. Res. 15 1998 216 220 (Pubitemid 28144232)
    • (1998) Pharmaceutical Research , vol.15 , Issue.2 , pp. 216-220
    • Millan, M.1    Caraballo, I.2    Rabasco, A.M.3
  • 73
    • 0020824332 scopus 로고
    • Diffusional release of water-soluble bioactive agents from ethylene-vinyl acetate co-polymers
    • E.S. Miller, and N.A. Peppas Diffusional release of water-soluble bioactive agents from ethylene-vinyl acetate co-polymers Chem. Eng. Commun. 22 1983 303 315
    • (1983) Chem. Eng. Commun. , vol.22 , pp. 303-315
    • Miller, E.S.1    Peppas, N.A.2
  • 74
    • 0002642747 scopus 로고
    • Theorie der Reaktionsgeschwindigkeit in heterogenen Systemen
    • W. Nernst Theorie der Reaktionsgeschwindigkeit in heterogenen Systemen Z. Phys. Chem. 47 1904 52 55
    • (1904) Z. Phys. Chem. , vol.47 , pp. 52-55
    • Nernst, W.1
  • 75
    • 0000409522 scopus 로고
    • Auflösungsgeschwindigkeit von festen Stoffen in ihren eigenen Lösungen
    • A.A. Noyes, and W. Whitney Auflösungsgeschwindigkeit von festen Stoffen in ihren eigenen Lösungen Z. Phys. Chem. 23 1897 689
    • (1897) Z. Phys. Chem. , vol.23 , pp. 689
    • Noyes, A.A.1    Whitney, W.2
  • 76
    • 0000653947 scopus 로고    scopus 로고
    • Level Set Methods: An Overview and Some Recent Results
    • DOI 10.1006/jcph.2000.6636, PII S0021999100966361
    • S. Osher, and R.P. Fedkiw Level set methods: an overview and some recent results J. Comput. Phys. 169 2001 463 502 (Pubitemid 33665457)
    • (2001) Journal of Computational Physics , vol.169 , Issue.2 , pp. 463-502
    • Osher, S.1    Fedkiw, R.P.2
  • 77
    • 31144453624 scopus 로고    scopus 로고
    • On the use of the Weibull function for the discernment of drug release mechanisms
    • DOI 10.1016/j.ijpharm.2005.10.044, PII S0378517305007672
    • V. Papadopoulou, K. Kosmidis, M. Vlachou, and P. Macheras On the use of the Weibull function for the discernment of drug release mechanisms Int. J. Pharm. 309 2006 44 50 (Pubitemid 43129463)
    • (2006) International Journal of Pharmaceutics , vol.309 , Issue.1-2 , pp. 44-50
    • Papadopoulou, V.1    Kosmidis, K.2    Vlachou, M.3    Macheras, P.4
  • 78
    • 0016925838 scopus 로고
    • Diffusional release of a solute from a polymeric matrix
    • D.R. Paul, and S.K. McSpadden Diffusional release of a solute from a polymeric matrix J. Membr. Sci. 1 1976 33 48
    • (1976) J. Membr. Sci. , vol.1 , pp. 33-48
    • Paul, D.R.1    McSpadden, S.K.2
  • 79
    • 0020858063 scopus 로고
    • A model of dissolution-controlled solute release from porous drug delivery polymeric systems
    • N.A. Peppas A model of dissolution-controlled solute release from porous drug delivery polymeric systems J. Biomed. Mater. Res. 17 1983 1079 1087 (Pubitemid 14214028)
    • (1983) Journal of Biomedical Materials Research , vol.17 , Issue.6 , pp. 1079-1087
    • Peppas, N.A.1
  • 80
    • 0021904208 scopus 로고
    • Analysis of Fickian and non-Fickian drug release from polymers
    • N.A. Peppas Analysis of Fickian and non-Fickian drug release from polymers Pharm. Acta Helv. 60 1985 110 111
    • (1985) Pharm. Acta Helv. , vol.60 , pp. 110-111
    • Peppas, N.A.1
  • 81
    • 0014748052 scopus 로고
    • Release of medroxyprogesterone acetate from a silicone polymer
    • T.J. Roseman, and W. Higuchi Release of medroxyprogesterone acetate from a silicone polymer J. Pharm. Sci. 59 1970 353 357
    • (1970) J. Pharm. Sci. , vol.59 , pp. 353-357
    • Roseman, T.J.1    Higuchi, W.2
  • 82
    • 33644897390 scopus 로고    scopus 로고
    • On the refined integral method for the one-phase Stefan problem with time-dependent boundary conditions
    • DOI 10.1016/j.apm.2005.06.003, PII S0307904X05001150
    • N. Sadoun, E.K. Si-Ahmed, and P. Colinet On the refined integral method for the one-phase Stefan problem with time-dependent boundary conditions Appl. Math. Model. 30 2006 531 544 (Pubitemid 43380952)
    • (2006) Applied Mathematical Modelling , vol.30 , Issue.6 , pp. 531-544
    • Sadoun, N.1    Si-Ahmed, E.-K.2    Colinet, P.3
  • 83
    • 0000422627 scopus 로고
    • Transport of macromolecules in porous media
    • M. Sahimi Transport of macromolecules in porous media J. Chem. Phys. 96 1992 4718 4728
    • (1992) J. Chem. Phys. , vol.96 , pp. 4718-4728
    • Sahimi, M.1
  • 87
    • 0034601854 scopus 로고    scopus 로고
    • Theoretical analysis of inward hemispheric release above and below drug solubility
    • R.A. Siegel Theoretical analysis of inward hemispheric release above and below drug solubility J. Control. Release 69 2000 109 126
    • (2000) J. Control. Release , vol.69 , pp. 109-126
    • Siegel, R.A.1
  • 88
    • 0035844746 scopus 로고    scopus 로고
    • Mathematical modeling of bioerodible, polymeric drug delivery systems
    • DOI 10.1016/S0169-409X(01)00116-8, PII S0169409X01001168
    • J. Siepmann, and A. Göpferich Mathematical modeling of bioerodible, polymeric drug delivery systems Adv. Drug Deliv. Rev. 48 2001 229 247 (Pubitemid 32434405)
    • (2001) Advanced Drug Delivery Reviews , vol.48 , Issue.2-3 , pp. 229-247
    • Siepmann, J.1    Gopferich, A.2
  • 89
    • 0032708697 scopus 로고    scopus 로고
    • HPMC-matrices for controlled drug delivery: A new model combining diffusion, swelling, and dissolution mechanisms and predicting the release kinetics
    • DOI 10.1023/A:1018914301328
    • J. Siepmann, H. Kranz, R. Bodmeier, and N.A. Peppas HPMC-matrices for controlled drug delivery: a new model combining diffusion, swelling, and dissolution mechanisms and predicting the release kinetics Pharm. Res. 16 1999 1748 1756 (Pubitemid 29530409)
    • (1999) Pharmaceutical Research , vol.16 , Issue.11 , pp. 1748-1756
    • Siepmann, J.1    Kranz, H.2    Bodmeier, R.3    Peppas, N.A.4
  • 90
    • 0033635550 scopus 로고    scopus 로고
    • Hydrophilic matrices for controlled drug delivery: An improved mathematical model to predict the resulting drug release kinetics (the "sequential layer" model)
    • J. Siepmann, and N.A. Peppas 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
    • (2000) Pharm. Res. , vol.17 , pp. 1290-1298
    • Siepmann, J.1    Peppas, N.A.2
  • 91
    • 0035844738 scopus 로고    scopus 로고
    • Modeling of drug release from delivery systems based on hydroxypropyl methylcellulose (HPMC)
    • DOI 10.1016/S0169-409X(01)00112-0, PII S0169409X01001120
    • J. Siepmann, and N.A. Peppas Modeling of drug release from delivery systems based on hydroxypropyl methylcellulose (HPMC) Adv. Drug Deliv. Rev. 48 2001 139 157 (Pubitemid 32434400)
    • (2001) Advanced Drug Delivery Reviews , vol.48 , Issue.2-3 , pp. 139-157
    • Siepmann, J.1    Peppas, N.A.2
  • 92
    • 0032904704 scopus 로고    scopus 로고
    • A new model describing the swelling and drug release kinetics from hydroxypropyl methylcellulose tablets
    • DOI 10.1021/js9802291
    • J. Siepmann, K. Podual, M. Sriwongjanya, N.A. Peppas, and R. Bodmeier A new model describing the swelling and drug release kinetics from hydroxypropyl methylcellulose tablets J. Pharm. Sci. 88 1999 65 72 (Pubitemid 29037370)
    • (1999) Journal of Pharmaceutical Sciences , vol.88 , Issue.1 , pp. 65-72
    • Siepmann, J.1    Podual, K.2    Sriwongjanya, M.3    Peppas, N.A.4    Bodmeier, R.5
  • 93
    • 55849092853 scopus 로고    scopus 로고
    • Mathematical modeling of drug delivery
    • J. Siepmann, and F. Siepmann Mathematical modeling of drug delivery Int. J. Pharm. 364 2008 328 343
    • (2008) Int. J. Pharm. , vol.364 , pp. 328-343
    • Siepmann, J.1    Siepmann, F.2
  • 94
    • 0036197917 scopus 로고    scopus 로고
    • Understanding and predicting drug delivery from hydrophilic matrix tablets using the "sequential layer" model
    • DOI 10.1023/A:1014447102710
    • J. Siepmann, A. Streubel, and N.A. Peppas Understanding and predicting drug delivery from hydrophilic matrix tablets using the "sequential layer" model Pharm. Res. 19 2002 306 314 (Pubitemid 34211848)
    • (2002) Pharmaceutical Research , vol.19 , Issue.3 , pp. 306-314
    • Siepmann, J.1    Streubel, A.2    Peppas, N.A.3
  • 96
    • 84944482877 scopus 로고
    • Über die Theorie der Eisbildung, insbesondere über die Eisbildung im Polarmeere
    • J. Stefan Über die Theorie der Eisbildung, insbesondere über die Eisbildung im Polarmeere Ann. Phys. Chem. 42 1891 269 286
    • (1891) Ann. Phys. Chem. , vol.42 , pp. 269-286
    • Stefan, J.1
  • 97
    • 0016830071 scopus 로고
    • Elementary Osmotic Pump
    • F. Theeuwes Elementary Osmotic Pump J. Pharm. Sci. 64 1975 1987 1991
    • (1975) J. Pharm. Sci. , vol.64 , pp. 1987-1991
    • Theeuwes, F.1
  • 98
    • 0021796966 scopus 로고
    • Intrinsic release rate from matrix-type drug delivery systems
    • DOI 10.1002/jps.2600740622
    • K. Tojo Intrinsic release rate from matrix-type drug delivery systems J. Pharm. Sci. 74 1985 685 687 (Pubitemid 15042136)
    • (1985) Journal of Pharmaceutical Sciences , vol.74 , Issue.6 , pp. 685-687
    • Tojo, K.1
  • 99
    • 0014759328 scopus 로고
    • A refinement of the integral method in solving the heat conduction equation
    • V.N. Volkov, and V.K. Li-Orlov A refinement of the integral method in solving the heat conduction equation Heat Transfer Sov. Res. 2 1970 41 47
    • (1970) Heat Transfer Sov. Res. , vol.2 , pp. 41-47
    • Volkov, V.N.1    Li-Orlov, V.K.2
  • 101
    • 0032559309 scopus 로고    scopus 로고
    • Finite element analysis of diffusional drug release from complex matrix systems. II. Factors influencing release kinetics
    • DOI 10.1016/S0168-3659(97)00159-4, PII S0168365997001594
    • X.Y. Wu, and Y. Zhou Finite element analysis of diffusional drug release from complex matrix systems.II. Factors influencing release kinetics J. Control. Release 51 1998 57 71 (Pubitemid 28064645)
    • (1998) Journal of Controlled Release , vol.51 , Issue.1 , pp. 57-71
    • Wu, X.Y.1    Zhou, Y.2
  • 102
    • 0032862725 scopus 로고    scopus 로고
    • Studies of diffusional release of a dispersed solute from polymeric matrixes by finite element method
    • DOI 10.1021/js9804361
    • X.Y. Wu, and Y. Zhou Studies of diffusional release of a dispersed solute from polymeric matrixes by finite element method J. Pharm. Sci. 88 1999 1050 1057 (Pubitemid 29480599)
    • (1999) Journal of Pharmaceutical Sciences , vol.88 , Issue.10 , pp. 1050-1057
    • Wu, X.Y.1    Zhou, Y.2
  • 103
    • 4444279518 scopus 로고    scopus 로고
    • Modeling of dispersed-drug release from two-dimensional matrix tablets
    • DOI 10.1016/j.biomaterials.2004.03.034, PII S0142961204002911
    • Y. Zhou, J.S. Chu, T. Zhou, and X.Y. Wu Modeling of dispersed-drug release from two-dimensional matrix tablets Biomaterials 26 2005 945 952 (Pubitemid 39194966)
    • (2005) Biomaterials , vol.26 , Issue.8 , pp. 945-952
    • Zhou, Y.1    Chu, J.S.2    Zhou, T.3    Wu, X.Y.4
  • 104
    • 0031473467 scopus 로고    scopus 로고
    • Finite element analysis of diffusional drug release from complex matrix systems. I. Complex geometries and composite structures
    • DOI 10.1016/S0168-3659(97)00103-X, PII S016836599700103X
    • Y. Zhou, and X.Y. Wu Finite element analysis of diffusional drug release from complex matrix systems. I. Complex geometries and composite structures J. Control. Release 49 1997 277 288 (Pubitemid 28020280)
    • (1997) Journal of Controlled Release , vol.49 , Issue.2-3 , pp. 277-288
    • Zhou, Y.1    Wu, X.Y.2
  • 105
    • 0037038306 scopus 로고    scopus 로고
    • Theoretical analyses of dispersed-drug release from planar matrices with a boundary layer in a finite medium
    • DOI 10.1016/S0168-3659(02)00263-8, PII S0168365902002638
    • Y. Zhou, and X.Y. Wu Theoretical analyses of dispersed-drug release from planar matrices with a boundary layer in a finite medium J. Control. Release 84 2002 1 13 (Pubitemid 35223409)
    • (2002) Journal of Controlled Release , vol.84 , Issue.1-2 , pp. 1-13
    • Zhou, Y.1    Wu, X.Y.2


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