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Volumn 418, Issue 1, 2011, Pages 18-27

Modeling of drug release from matrix systems involving moving boundaries: Approximate analytical solutions

Author keywords

Approximate analytical solutions; Double integration heat balance integral method; Drug release; Higuchi equation; Matrix systems; Moving boundary problems

Indexed keywords

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

EID: 80052858902     PISSN: 03785173     EISSN: 18733476     Source Type: Journal    
DOI: 10.1016/j.ijpharm.2011.01.019     Document Type: Review
Times cited : (54)

References (36)
  • 1
    • 33751183754 scopus 로고    scopus 로고
    • Mathematical modeling and simulation of drug release from microspheres: Implications to drug delivery systems
    • D.Y. Arifin, L.Y. Lee, and C.-H. Wang Mathematical modeling and simulation of drug release from microspheres: implications to drug delivery systems Adv. Drug Deliv. Rev. 58 2006 1274 1325
    • (2006) Adv. Drug Deliv. Rev. , vol.58 , pp. 1274-1325
    • Arifin, D.Y.1    Lee, L.Y.2    Wang, C.-H.3
  • 2
    • 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
  • 3
    • 0017619617 scopus 로고
    • Diffusion model for drug release from suspensions. II. Release to a perfect sink
    • J.W. Ayres, and F.T. Lindstrom 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
  • 5
    • 0003134665 scopus 로고
    • Heat conduction or diffusion with change of phase
    • S.G. Bankoff Heat conduction or diffusion with change of phase Adv. Chem. Eng. 5 1964 75 150
    • (1964) Adv. Chem. Eng. , vol.5 , pp. 75-150
    • Bankoff, S.G.1
  • 6
    • 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
  • 7
    • 0000888810 scopus 로고
    • Measurement of diffusion coefficients
    • P.C. Carman, and R.A.W. Haul Measurement of diffusion coefficients Proc. R. Soc. Lond. 222A 1954 109 118
    • (1954) Proc. R. Soc. Lond. , vol.222 A , pp. 109-118
    • Carman, P.C.1    Haul, R.A.W.2
  • 9
    • 0020356701 scopus 로고
    • Dissolution-controlled transport from dispersed matrixes
    • DOI 10.1002/jps.2600711222
    • S.K. Chandrasekaran, and D.R. Paul Dissolution-controlled transport from dispersed matrixes J. Pharm. Sci. 71 1982 1399 1402 (Pubitemid 13209468)
    • (1982) Journal of Pharmaceutical Sciences , vol.71 , Issue.12 , pp. 1399-1402
    • Chandrasekaran, S.K.1    Paul, D.R.2
  • 11
    • 0025152154 scopus 로고
    • Release of highly water-soluble medicinal compounds from inert, heterogeneous matrixes. II: Melt
    • T.P. Foster, and E.L. Parrott Release of highly water-soluble medicinal compounds from inert, heterogeneous matrixes. II. Melt J. Pharm. Sci. 79 1990 938 942 (Pubitemid 20362823)
    • (1990) Journal of Pharmaceutical Sciences , vol.79 , Issue.10 , pp. 938-942
    • Foster, T.P.1    Parrott, E.L.2
  • 12
    • 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
  • 13
    • 0842265899 scopus 로고    scopus 로고
    • Theoretical analysis of the release of slowly dissolving drugs from spherical matrix systems
    • G. Frenning Theoretical analysis of the release of slowly dissolving drugs from spherical matrix systems J. Control. Release 95 2004 107 109
    • (2004) J. Control. Release , vol.95 , pp. 107-109
    • Frenning, G.1
  • 14
    • 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. Stromme 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
  • 15
    • 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
  • 16
    • 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
  • 17
    • 0344893332 scopus 로고
    • Mechanism of sustained-action medication: Theoretical analysis of rate of release of solid drugs dispersed in solid matrices
    • T. Higuchi 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
    • (1963) J. Pharm. Sci. , vol.52 , pp. 1145-1149
    • Higuchi, T.1
  • 18
    • 0016731936 scopus 로고
    • Rate of release of medicaments from ointment bases containing drugs in suspension
    • T. Koizumi, M. Ueda, M. Kakemi, and H. Kameda Rate of release of medicaments from ointment bases containing drugs in suspension Chem. Pharm. Bull. 23 1975 3288 3292
    • (1975) Chem. Pharm. Bull. , vol.23 , pp. 3288-3292
    • Koizumi, T.1    Ueda, M.2    Kakemi, M.3    Kameda, H.4
  • 19
    • 0028837085 scopus 로고
    • Release of medicaments from spherical matrices containing drug in suspension: Theoretical aspects
    • T. Koizumi, and S.P. Panomsuk Release of medicaments from spherical matrices containing drug in suspension: theoretical aspects Int. J. Pharm. 116 1995 45 49
    • (1995) Int. J. Pharm. , vol.116 , pp. 45-49
    • Koizumi, T.1    Panomsuk, S.P.2
  • 20
    • 0348017097 scopus 로고
    • The heat balance integral method
    • D. Langford The heat balance integral method Int. J. Heat Mass Transfer 16 1973 2424 2428
    • (1973) Int. J. Heat Mass Transfer , vol.16 , pp. 2424-2428
    • Langford, D.1
  • 21
    • 0019130053 scopus 로고
    • Diffusional release of a solute from a polymeric matrix. Approximate analytical solutions
    • DOI 10.1016/S0376-7388(00)80472-X
    • P. 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
  • 22
    • 85056379785 scopus 로고
    • Diffusion-controlled matrix systems
    • A. Kydonieus, Marcel Dekker New York
    • P. Lee Diffusion-controlled matrix systems A. Kydonieus, Treatise on Controlled Drug Delivery 1992 Marcel Dekker New York 155 197
    • (1992) Treatise on Controlled Drug Delivery , pp. 155-197
    • Lee, P.1
  • 23
    • 24344480833 scopus 로고    scopus 로고
    • Comments on "modeling the controlled release of drug embedded in a plate-like polymer matrix" by Lin et al.
    • DOI 10.1016/j.ces.2005.06.027, PII S0009250905005579
    • P. Lee Comments on "Modeling the controlled release of drug embedded in a plate-like polymer matrix" by Lin et al. Chem. Eng. Sci. 60 2005 7172 7173 (Pubitemid 41260629)
    • (2005) Chemical Engineering Science , vol.60 , Issue.24 , pp. 7172-7173
    • Lee, P.I.1
  • 24
    • 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
  • 25
    • 33947487639 scopus 로고
    • The rate of solution of solid substances in their own solutions
    • A.A. Noyes, and W. Whitney The rate of solution of solid substances in their own solutions J. Am. Chem. Soc. 19 1897 930 934
    • (1897) J. Am. Chem. Soc. , vol.19 , pp. 930-934
    • Noyes, A.A.1    Whitney, W.2
  • 27
    • 0016925838 scopus 로고
    • Diffusional release of a solute from a polymer matrix
    • D.R. Paul, and S.K. McSpadden Diffusional release of a solute from a polymer 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
  • 28
    • 0014748052 scopus 로고
    • Release of medroxyprogesterone acetate from a silicone polymer
    • T.J. Roseman, and W.I. 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.I.2
  • 29
    • 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 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
  • 30
    • 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
  • 31
    • 84984083745 scopus 로고
    • Generalized numerical solutions of freezing a saturated liquid in cylinders and spheres
    • L.C. Tao Generalized numerical solutions of freezing a saturated liquid in cylinders and spheres A. I. Ch. E. Journal 13 1967 165 169
    • (1967) A. I. Ch. E. Journal , vol.13 , pp. 165-169
    • Tao, L.C.1
  • 32
    • 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
  • 33
    • 0014759328 scopus 로고
    • A refinement of the integral method in solving the heat conduction equation
    • V.N. Volkov, and 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, K.2
  • 35
    • 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
  • 36
    • 0038399829 scopus 로고    scopus 로고
    • Modeling and analysis of dispersed-drug release into a finite medium from sphere ensembles with a boundary layer
    • DOI 10.1016/S0168-3659(03)00128-7
    • Y. Zhou, and X.Y. Wu Modeling and analysis of dispersed-drug release into a finite medium from sphere ensembles with a boundary layer J. Control. Release 90 2003 23 36 (Pubitemid 36588876)
    • (2003) Journal of Controlled Release , vol.90 , Issue.1 , pp. 23-36
    • Zhou, Y.1    Wu, X.Y.2


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