메뉴 건너뛰기




Volumn 190, Issue , 2014, Pages 75-81

Mathematical models in drug delivery: How modeling has shaped the way we design new drug delivery systems

Author keywords

Controlled release; Diffusion; Dissolution; Erosion; Mathematical modeling; Swelling

Indexed keywords

DIFFUSION; DISSOLUTION; EROSION; MATHEMATICAL MODELS; SWELLING; TARGETED DRUG DELIVERY; CONTROLLED DRUG DELIVERY; DESIGN;

EID: 84906788497     PISSN: 01683659     EISSN: 18734995     Source Type: Journal    
DOI: 10.1016/j.jconrel.2014.06.041     Document Type: Review
Times cited : (458)

References (103)
  • 1
    • 0003046641 scopus 로고    scopus 로고
    • The role of modeling in the development of future controlled release devices
    • K. Park, American Chemical Society Washington, D.C.
    • B. Narasimhan, and N.A. Peppas The role of modeling in the development of future controlled release devices K. Park, Controlled Drug Delivery 1997 American Chemical Society Washington, D.C. 529 557
    • (1997) Controlled Drug Delivery , pp. 529-557
    • Narasimhan, B.1    Peppas, N.A.2
  • 2
    • 0020936133 scopus 로고
    • Chemical and physical structure of polymers as carriers for controlled release of bioactive agents: A review
    • R.S. Langer, and N.A. Peppas Chemical and physical structure of polymers as carriers for controlled release of bioactive agents: a review J. Macromol. Sci., Rev. Macromol. Chem. Phys. C23 1 1983 61 126
    • (1983) J. Macromol. Sci., Rev. Macromol. Chem. Phys. , vol.23 C , Issue.1 , pp. 61-126
    • Langer, R.S.1    Peppas, N.A.2
  • 4
    • 36849125005 scopus 로고
    • Viscosity, plasticity and diffusion as examples of reaction rates
    • H. Eyring Viscosity, plasticity and diffusion as examples of reaction rates J. Chem. Phys. 4 1936 283
    • (1936) J. Chem. Phys. , vol.4 , pp. 283
    • Eyring, H.1
  • 5
    • 25544436955 scopus 로고
    • Diffusion in polymer-diluent systems
    • H. Fujita Diffusion in polymer-diluent systems Fortschr. Hochpolym. Forsch. 3 1961 1 47
    • (1961) Fortschr. Hochpolym. Forsch. , vol.3 , pp. 1-47
    • Fujita, H.1
  • 7
    • 0002749838 scopus 로고
    • Die Bewegung einer Einer Starren Kuegel laengs der Achse mit zaeher Fluessigkeit gefuellten Rohres
    • H. Faxen Die Bewegung einer Einer Starren Kuegel laengs der Achse mit zaeher Fluessigkeit gefuellten Rohres Ark. Mat. Astron. Fys. 17 1923 1
    • (1923) Ark. Mat. Astron. Fys. , vol.17 , pp. 1
    • Faxen, H.1
  • 8
    • 0001065186 scopus 로고
    • Permeability of solutes through hydrated polymer membranes III. Theoretical background for the selectivity of dialysis membranes
    • H. Yasuda, A. Peterlin, C.K. Colton, K.A. Smith, and E.W. Merrill Permeability of solutes through hydrated polymer membranes III. Theoretical background for the selectivity of dialysis membranes Macromol. Chem. Phys. 126 1969 177
    • (1969) Macromol. Chem. Phys. , vol.126 , pp. 177
    • Yasuda, H.1    Peterlin, A.2    Colton, C.K.3    Smith, K.A.4    Merrill, E.W.5
  • 9
    • 0020840829 scopus 로고
    • Solute diffusion in swollen membranes. Part I. A new theory
    • DOI 10.1016/S0376-7388(00)82304-2
    • N.A. Peppas, and C.T. Reinhart Solute diffusion in swollen membranes, I. A new theory J. Membr. Sci. 15 1983 275 287 (Pubitemid 14243473)
    • (1983) Journal of Membrane Science , vol.15 , Issue.3 , pp. 275-287
    • Peppas, N.A.1    Reinhart, C.T.2
  • 10
    • 0019848930 scopus 로고
    • Present and future applications of biomaterials in controlled drug delivery systems
    • DOI 10.1016/0142-9612(81)90059-4
    • R.S. Langer, and N.A. Peppas Present and future applications of biomaterials in controlled drug delivery systems Biomaterials 2 1981 201 214 (Pubitemid 12195193)
    • (1981) Biomaterials , vol.2 , Issue.4 , pp. 201-214
    • Langer, R.S.1    Peppas, N.A.2
  • 11
    • 0005051818 scopus 로고
    • Mathematical modeling of diffusion processes in drug delivery polymeric systems
    • V.F. Smolen, L.A. Ball, Controlled Drug Bioavailability John Wiley New York
    • N.A. Peppas Mathematical modeling of diffusion processes in drug delivery polymeric systems V.F. Smolen, L.A. Ball, Drug Product Design and Performance Controlled Drug Bioavailability vol. 1 1984 John Wiley New York 203 237
    • (1984) Drug Product Design and Performance , vol.1 , pp. 203-237
    • Peppas, N.A.1
  • 12
    • 0002384658 scopus 로고
    • Permselectivity of solutes in homogeneous water-swollen polymer membranes
    • H. Yasuda, and C.E. Lamaze Permselectivity of solutes in homogeneous water-swollen polymer membranes J. Macromol. Sci., Phys. B5 1971 111 120
    • (1971) J. Macromol. Sci., Phys. , vol.5 B , pp. 111-120
    • Yasuda, H.1    Lamaze, C.E.2
  • 13
    • 0022077568 scopus 로고
    • Solute diffusion in swollen membranes. IV. Theories for moderately swollen networks
    • N.A. Peppas, and H.J. Moynihan Solute diffusion in swollen membranes. IV. Theories for moderately swollen networks J. Appl. Polym. Sci. 30 1985 2589 2606
    • (1985) J. Appl. Polym. Sci. , vol.30 , pp. 2589-2606
    • Peppas, N.A.1    Moynihan, H.J.2
  • 14
    • 0024630719 scopus 로고
    • Solute diffusion in swollen membranes. VII. Diffusion in semicrystalline networks
    • R.S. Harland, and N.A. Peppas Solute diffusion in swollen networks. VII. Diffusion in semicrystalline networks Colloid Polym. Sci. 267 1989 218 225 (Pubitemid 20601066)
    • (1989) Colloid and Polymer Science , vol.267 , Issue.3 , pp. 218-225
    • Harland, R.S.1    Peppas, N.A.2
  • 15
    • 0002317882 scopus 로고
    • A new approach to achieve zero-order release kinetics from diffusion-controlled polymer matrix systems
    • R. Baker, Academic Press New York, NY
    • W.D. Rhine, V. Sukhatme, D.S.T. Hseih, and R. Langer A new approach to achieve zero-order release kinetics from diffusion-controlled polymer matrix systems R. Baker, Controlled Release of Bioactive Materials 1980 Academic Press New York, NY 177 187
    • (1980) Controlled Release of Bioactive Materials , pp. 177-187
    • Rhine, W.D.1    Sukhatme, V.2    Hseih, D.S.T.3    Langer, R.4
  • 16
    • 73049134701 scopus 로고
    • Rate of release of medicaments from ointment bases containing drugs in suspensions
    • T. Higuchi Rate of release of medicaments from ointment bases containing drugs in suspensions J. Pharm. Sci. 50 1961 874 875
    • (1961) J. Pharm. Sci. , vol.50 , pp. 874-875
    • Higuchi, T.1
  • 17
    • 0344893332 scopus 로고
    • Mechanisms of sustained action mediation. Theoretical analysis of rate of release of solid drugs dispersed in solid matrices
    • T. Higuchi Mechanisms of sustained action mediation. 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
    • 0013809135 scopus 로고
    • Investigation of factors influencing release of solid drug dispersed in inert drug delivery devices matrices
    • S.J. Desai, A.P. Simonelli, and W.I. Higuchi Investigation of factors influencing release of solid drug dispersed in inert drug delivery devices matrices J. Pharm. Sci. 54 1965 1459 1464
    • (1965) J. Pharm. Sci. , vol.54 , pp. 1459-1464
    • Desai, S.J.1    Simonelli, A.P.2    Higuchi, W.I.3
  • 19
    • 0013970228 scopus 로고
    • Investigation of factors influencing release of solid drug dispersed in inert matrices II
    • S.J. Desai, P. Singh, A.P. Simonelli, and W.I. Higuchi Investigation of factors influencing release of solid drug dispersed in inert matrices II J. Pharm. Sci. 55 1966 1224 1229
    • (1966) J. Pharm. Sci. , vol.55 , pp. 1224-1229
    • Desai, S.J.1    Singh, P.2    Simonelli, A.P.3    Higuchi, W.I.4
  • 20
    • 0013937269 scopus 로고
    • Some factors affecting the release of a water-soluble drug from a compressed hydrophilic matrix
    • H. Lapidus, and N.G. Lordi Some factors affecting the release of a water-soluble drug from a compressed hydrophilic matrix J. Pharm. Sci. 55 1966 840 843
    • (1966) J. Pharm. Sci. , vol.55 , pp. 840-843
    • Lapidus, H.1    Lordi, N.G.2
  • 21
    • 0014319539 scopus 로고
    • Drug release from compressed hydrophilic matrices
    • H. Lapidus, and N.G. Lordi Drug release from compressed hydrophilic matrices J. Pharm. Sci. 57 1968 1292 1301
    • (1968) J. Pharm. Sci. , vol.57 , pp. 1292-1301
    • Lapidus, H.1    Lordi, N.G.2
  • 22
    • 80052853276 scopus 로고    scopus 로고
    • Higuchi equation: Derivation, applications, use and misuse
    • J. Siepmann, and N.A. Peppas Higuchi equation: derivation, applications, use and misuse Int. J. Pharm. 418 2011 6 11
    • (2011) Int. J. Pharm. , vol.418 , pp. 6-11
    • Siepmann, J.1    Peppas, N.A.2
  • 24
    • 0002567665 scopus 로고
    • Controlled release: Mechanisms and rates
    • A.C. Tanquary, R.E. Lacey, Plenum Press New York
    • R.W. Baker, and H.K. Lonsdale Controlled release: mechanisms and rates A.C. Tanquary, R.E. Lacey, Controlled Release of Biologically Active Agents 1974 Plenum Press New York 15 72
    • (1974) Controlled Release of Biologically Active Agents , pp. 15-72
    • Baker, R.W.1    Lonsdale, H.K.2
  • 25
    • 84865965545 scopus 로고    scopus 로고
    • Higuchi's equation and beyond: Overview of the formulation and application of a generalized model of drug release from polymeric matrices
    • J.H. Petropoulos, K.G. Papadokostaki, and M. Sanopoulou Higuchi's equation and beyond: overview of the formulation and application of a generalized model of drug release from polymeric matrices Int. J. Pharm. 437 2012 178 191
    • (2012) Int. J. Pharm. , vol.437 , pp. 178-191
    • Petropoulos, J.H.1    Papadokostaki, K.G.2    Sanopoulou, M.3
  • 26
    • 0023195932 scopus 로고
    • A simple equation for desciption of solute release I. Fickian and non-Fickian release from non-swellable devices in the form of slabs, spheres, cylinders or discs
    • DOI 10.1016/0168-3659(87)90034-4
    • P.L. Ritger, and N.A. Peppas A simple equation for description of solute release. 1. Fickian and non-Fickian release from non-swellable devices in the form of slabs, spheres, cylinders or discs J. Control. Release 5 1987 23 36 (Pubitemid 17106643)
    • (1987) Journal of Controlled Release , vol.5 , Issue.1 , pp. 23-36
    • Ritger, P.L.1    Peppas, N.A.2
  • 27
    • 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
  • 28
    • 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
  • 29
    • 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
  • 30
    • 80052867101 scopus 로고    scopus 로고
    • Mathematical models for polymer erosion: Consequences for drug delivery
    • C.K. Sackett, and B. Narasimhan Mathematical models for polymer erosion: consequences for drug delivery Int. J. Pharm. 418 2011 104 114
    • (2011) Int. J. Pharm. , vol.418 , pp. 104-114
    • Sackett, C.K.1    Narasimhan, B.2
  • 31
    • 0021200931 scopus 로고
    • Modelling of drug release kinetics from a laminated device having an erodible drug reservoir
    • DOI 10.1016/0142-9612(84)90068-1
    • A.G. Thombre, and K.J. Himmelstein Modeling of drug release kinetics from a laminated device having an erodible drug reservoir Biomaterials 5 1984 250 254 (Pubitemid 14007181)
    • (1984) Biomaterials , vol.5 , Issue.5 , pp. 250-254
    • Thombre, A.G.1    Himmelstein, K.J.2
  • 32
    • 0022059010 scopus 로고
    • Simultaneous transport-reaction model for controlled drug delivery from catalyzed bioerodible polymer matrices
    • A.G. Thombre, and K.J. Himmelstein A simultaneous transport-reaction model for controlled drug delivery from catalyzed bioerodible polymer matrices AIChE J. 31 1985 759 766 (Pubitemid 15489124)
    • (1985) AIChE Journal , vol.31 , Issue.5 , pp. 759-766
    • Thombre, A.G.1    Himmelstein, K.J.2
  • 33
    • 77950793576 scopus 로고    scopus 로고
    • Autocatalytic equation describing the change in molecular weight during hydrolytic degradation of aliphatic polyesters
    • H. Antheunis, J.C. van der Meer, M. de Geus, A. Heise, and C.E. Koning Autocatalytic equation describing the change in molecular weight during hydrolytic degradation of aliphatic polyesters Biomacromolecules 11 2010 1118 1124
    • (2010) Biomacromolecules , vol.11 , pp. 1118-1124
    • Antheunis, H.1    Van Der Meer, J.C.2    De Geus, M.3    Heise, A.4    Koning, C.E.5
  • 34
    • 66649101400 scopus 로고    scopus 로고
    • Improved mathematical model for the hydrolytic degradation of aliphatic polyesters
    • H. Antheunis, J.C. van der Meer, M. de Geus, W. Kingma, and C.E. Koning Improved mathematical model for the hydrolytic degradation of aliphatic polyesters Macromolecules 42 2009 2462 2471
    • (2009) Macromolecules , vol.42 , pp. 2462-2471
    • Antheunis, H.1    Van Der Meer, J.C.2    De Geus, M.3    Kingma, W.4    Koning, C.E.5
  • 35
    • 33846939537 scopus 로고    scopus 로고
    • Modeling of degradation and drug release from a biodegradable stent coating
    • DOI 10.1002/jbm.a.31053
    • S. Prabhu, and S. Hossainy Modeling of degradation and drug release from a biodegradable stent coating J. Biomed. Mater. Res. Part A 80A 2007 732 741 (Pubitemid 46239086)
    • (2007) Journal of Biomedical Materials Research - Part A , vol.80 , Issue.3 , pp. 732-741
    • Prabhu, S.1    Hossainy, S.2
  • 36
    • 55249089894 scopus 로고    scopus 로고
    • A model for simultaneous crystallisation and biodegradation of biodegradable polymers
    • X.X. Han, and J.Z. Pan A model for simultaneous crystallisation and biodegradation of biodegradable polymers Biomaterials 30 2009 423 430
    • (2009) Biomaterials , vol.30 , pp. 423-430
    • Han, X.X.1    Pan, J.Z.2
  • 37
    • 44349160618 scopus 로고    scopus 로고
    • A phenomenological model for the degradation of biodegradable polymers
    • Y. Wang, J.Z. Pan, X.X. Han, C. Sinka, and L.F. Ding A phenomenological model for the degradation of biodegradable polymers Biomaterials 29 2008 3393 3401
    • (2008) Biomaterials , vol.29 , pp. 3393-3401
    • Wang, Y.1    Pan, J.Z.2    Han, X.X.3    Sinka, C.4    Ding, L.F.5
  • 38
    • 0036981128 scopus 로고    scopus 로고
    • Mechanistic understanding of degradation in bioerodible polymers for drug delivery
    • DOI 10.1002/aic.690481221
    • D. Larobina, G. Mensitieri, M.J. Kipper, and B. Narasimhan Mechanistic understanding of degradation in bioerodible polymers for drug delivery AIChE J. 48 2002 2960 2970 (Pubitemid 36172970)
    • (2002) AIChE Journal , vol.48 , Issue.12 , pp. 2960-2970
    • Larobina, D.1    Mensitieri, G.2    Kipper, M.J.3    Narasimhan, B.4
  • 39
    • 15244359665 scopus 로고    scopus 로고
    • Molecular description of erosion phenomena in biodegradable polymers
    • DOI 10.1021/ma047661r
    • M.J. Kipper, and B. Narasimhan Molecular description of erosion phenomena in biodegradable polymers Macromolecules 38 2005 1989 1999 (Pubitemid 40384618)
    • (2005) Macromolecules , vol.38 , Issue.5 , pp. 1989-1999
    • Kipper, M.J.1    Narasimhan, B.2
  • 40
    • 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
  • 41
    • 0034712805 scopus 로고    scopus 로고
    • Release of mifepristone from biodegradable matrices: Experimental and theoretical evaluations
    • DOI 10.1016/S0378-5173(00)00356-2, PII S0378517300003562
    • A. Charlier, B. Leclerc, and G. Couarraze Release of mifepristone from biodegradable matrices: experimental and theoretical evaluations Int. J. Pharm. 200 2000 115 120 (Pubitemid 30177256)
    • (2000) International Journal of Pharmaceutics , vol.200 , Issue.1 , pp. 115-120
    • Charlier, A.1    Leclerc, B.2    Couarraze, G.3
  • 42
    • 0031474199 scopus 로고    scopus 로고
    • A theoretical model of erosion and macromolecular drug release from biodegrading microspheres
    • DOI 10.1021/js9604117
    • R.P. Batycky, J. Hanes, R. Langer, and D.A. Edwards A theoretical model of erosion and macromolecular drug release from biodegrading microspheres J. Pharm. Sci. 86 1997 1464 1477 (Pubitemid 28018331)
    • (1997) Journal of Pharmaceutical Sciences , vol.86 , Issue.12 , pp. 1464-1477
    • Batycky, R.P.1    Hanes, J.2    Langer, R.3    Edwards, D.A.4
  • 43
    • 47249131642 scopus 로고    scopus 로고
    • A new model of resorbable device degradation and drug release - Part I: Zero order model
    • P. Arosio, V. Busini, G. Perale, D. Moscatelli, and M. Masi A new model of resorbable device degradation and drug release - part I: zero order model Polym. Int. 57 2008 912 920
    • (2008) Polym. Int. , vol.57 , pp. 912-920
    • Arosio, P.1    Busini, V.2    Perale, G.3    Moscatelli, D.4    Masi, M.5
  • 44
    • 67349142415 scopus 로고    scopus 로고
    • A new model of resorbable device degradation and drug release: Transient 1-dimension diffusional model
    • G. Perale, P. Arosio, D. Moscatelli, V. Barri, M. Muller, S. Maccagnan, and M. Masi A new model of resorbable device degradation and drug release: transient 1-dimension diffusional model J. Control. Release 136 2009 196 205
    • (2009) J. Control. Release , vol.136 , pp. 196-205
    • Perale, G.1    Arosio, P.2    Moscatelli, D.3    Barri, V.4    Muller, M.5    Maccagnan, S.6    Masi, M.7
  • 45
    • 0141507955 scopus 로고    scopus 로고
    • Simulation of drug release from biodegradable polymeric microspheres with bulk and surface erosions
    • M.P. Zhang, Z.C. Yang, L.L. Chow, and C.H. Wang Simulation of drug release from biodegradable polymeric microspheres with bulk and surface erosions J. Pharm. Sci. 92 2003 2040 2056
    • (2003) J. Pharm. Sci. , vol.92 , pp. 2040-2056
    • Zhang, M.P.1    Yang, Z.C.2    Chow, L.L.3    Wang, C.H.4
  • 46
    • 76749122249 scopus 로고    scopus 로고
    • A mixture model for water uptake, degradation, erosion and drug release from polydisperse polymeric networks
    • J.S. Soares, and P. Zunino A mixture model for water uptake, degradation, erosion and drug release from polydisperse polymeric networks Biomaterials 31 2010 3032 3042
    • (2010) Biomaterials , vol.31 , pp. 3032-3042
    • Soares, J.S.1    Zunino, P.2
  • 47
    • 0036320242 scopus 로고    scopus 로고
    • Why degradable polymers undergo surface erosion or bulk erosion
    • DOI 10.1016/S0142-9612(02)00170-9, PII S0142961202001709
    • F. von Burkersroda, L. Schedl, and A. Gopferich Why degradable polymers undergo surface erosion or bulk erosion Biomaterials 23 2002 4221 4231 (Pubitemid 34814991)
    • (2002) Biomaterials , vol.23 , Issue.21 , pp. 4221-4231
    • Burkersroda, F.V.1    Schedl, L.2    Gopferich, A.3
  • 48
    • 58249091982 scopus 로고    scopus 로고
    • A unified mathematical model for the prediction of controlled release from surface and bulk eroding polymer matrices
    • S.N. Rothstein, W.J. Federspiel, and S.R. Little A unified mathematical model for the prediction of controlled release from surface and bulk eroding polymer matrices Biomaterials 30 2009 1657 1664
    • (2009) Biomaterials , vol.30 , pp. 1657-1664
    • Rothstein, S.N.1    Federspiel, W.J.2    Little, S.R.3
  • 49
    • 0027906114 scopus 로고
    • Modeling of polymer erosion
    • A. Gopferich, and R. Langer Modeling of polymer erosion Macromolecules 26 1993 4105 4112 (Pubitemid 23704503)
    • (1993) Macromolecules , vol.26 , Issue.16 , pp. 4105-4112
    • Gopferich Achim1    Langer Robert2
  • 50
    • 0028853109 scopus 로고
    • Modeling monomer release from bioerodible polymers
    • A. Gopferich, and R. Langer Modeling monomer release from bioerodible polymers J. Control. Release 33 1995 55 69
    • (1995) J. Control. Release , vol.33 , pp. 55-69
    • Gopferich, A.1    Langer, R.2
  • 51
    • 0031554171 scopus 로고    scopus 로고
    • Polymer bulk erosion
    • A. Gopferich Polymer bulk erosion Macromolecules 30 1997 2598 2604 (Pubitemid 127567755)
    • (1997) Macromolecules , vol.30 , Issue.9 , pp. 2598-2604
    • Gopferich, A.1
  • 52
    • 0025593997 scopus 로고
    • Development and temporal evolution of erosion fronts in bioerodible controlled release devices
    • K. Zygourakis Development and temporal evolution of erosion fronts in bioerodible controlled release devices Chem. Eng. Sci. 45 1990 2359 2366
    • (1990) Chem. Eng. Sci. , vol.45 , pp. 2359-2366
    • Zygourakis, K.1
  • 53
    • 0030054081 scopus 로고    scopus 로고
    • Computer-aided design of bioerodible devices with optimal release characteristics: A cellular automata approach
    • DOI 10.1016/0142-9612(96)85757-7
    • K. Zygourakis, and P.A. Markenscoff Computer-aided design of bioerodible devices with optimal release characteristics: a cellular automata approach Biomaterials 17 1996 125 135 (Pubitemid 26031368)
    • (1996) Biomaterials , vol.17 , Issue.2 , pp. 125-135
    • Zygourakis, K.1    Markenscoff, P.A.2
  • 54
    • 0036913258 scopus 로고    scopus 로고
    • A new mathematical model quantifying drug release from bioerodible microparticles using Monte Carlo simulations
    • DOI 10.1023/A:1021457911533
    • J. Siepmann, N. Faisant, and J.P. Benoit A new mathematical model quantifying drug release from bioerodible microparticles using Monte Carlo simulations Pharm. Res. 19 2002 1885 1893 (Pubitemid 36016038)
    • (2002) Pharmaceutical Research , vol.19 , Issue.12 , pp. 1885-1893
    • Siepmann, J.1    Faisant, N.2    Benoit, J.-P.3
  • 55
  • 56
    • 34548291054 scopus 로고    scopus 로고
    • Modeling drug release from bioerodible microspheres using a cellular automaton
    • DOI 10.1016/j.ijpharm.2007.05.050, PII S0378517307004590
    • N. Bertrand, G. Leclair, and P. Hildgen Modeling drug release from bioerodible microspheres using a cellular automaton Int. J. Pharm. 343 2007 196 207 (Pubitemid 47321025)
    • (2007) International Journal of Pharmaceutics , vol.343 , Issue.1-2 , pp. 196-207
    • Bertrand, N.1    Leclair, G.2    Hildgen, P.3
  • 57
    • 38149004766 scopus 로고    scopus 로고
    • Modeling and simulation of drug release from multi-layer biodegradable polymer microstructure in three dimensions
    • R.X. Yu, H.L. Chen, T.N. Chen, and X.Y. Zhou Modeling and simulation of drug release from multi-layer biodegradable polymer microstructure in three dimensions Simul. Model. Pract. Theory 16 2008 15 25
    • (2008) Simul. Model. Pract. Theory , vol.16 , pp. 15-25
    • Yu, R.X.1    Chen, H.L.2    Chen, T.N.3    Zhou, X.Y.4
  • 58
    • 0001869529 scopus 로고
    • Controlled release from bioerodible slabs, cylinders, and spheres
    • H.B. Hopfenberg Controlled release from bioerodible slabs, cylinders, and spheres ACS Symp. Ser 1976 26 32
    • (1976) ACS Symp. Ser , pp. 26-32
    • Hopfenberg, H.B.1
  • 60
    • 78651454435 scopus 로고    scopus 로고
    • Identifying factors controlling protein release from combinatorial biomaterial libraries via hybrid data mining methods
    • X. Li, L.K. Petersen, S.R. Broderick, B. Narasimhan, and K. Rajan Identifying factors controlling protein release from combinatorial biomaterial libraries via hybrid data mining methods ACS Comb. Chem. 13 1 2011 50 58
    • (2011) ACS Comb. Chem. , vol.13 , Issue.1 , pp. 50-58
    • Li, X.1    Petersen, L.K.2    Broderick, S.R.3    Narasimhan, B.4    Rajan, K.5
  • 61
    • 0001653395 scopus 로고
    • Thermodynamic analysis of the permeability of biological membranes to non-electrolytes
    • O. Kedem, and A. Katchalsky Thermodynamic analysis of the permeability of biological membranes to non-electrolytes Biochem. Biophys. Acta 27 1958 229 246
    • (1958) Biochem. Biophys. Acta , vol.27 , pp. 229-246
    • Kedem, O.1    Katchalsky, A.2
  • 63
    • 84906781061 scopus 로고
    • Polymers for sustained release of macromolecules
    • N.A. Peppas, and R. Korsmeyer Polymers for sustained release of macromolecules Polym. News 6 1980 149 155
    • (1980) Polym. News , vol.6 , pp. 149-155
    • Peppas, N.A.1    Korsmeyer, R.2
  • 64
    • 0027677307 scopus 로고
    • Modeling of penetrant diffusion in glassy polymers with an integral sorption Deborah number
    • J.C. Wu, and N.A. Peppas Modeling of penetrant diffusion in glassy polymers with an integral sorption Deborah number J. Polym. Sci. Polym. Phys. Ed. 31 1993 1503 1518
    • (1993) J. Polym. Sci. Polym. Phys. Ed. , vol.31 , pp. 1503-1518
    • Wu, J.C.1    Peppas, N.A.2
  • 65
    • 0028494941 scopus 로고
    • Mathematical modeling and experimental characterization of polymer dissolution
    • N.A. Peppas, J.C. Wu, and E.D. von Meerwall Mathematical modeling and experimental characterization of polymer dissolution Macromolecules 27 1994 5626 5638
    • (1994) Macromolecules , vol.27 , pp. 5626-5638
    • Peppas, N.A.1    Wu, J.C.2    Von Meerwall, E.D.3
  • 66
    • 0016548389 scopus 로고
    • A Deborah number for diffusion in polymer-solvent systems
    • J.M. Vrentas, C.M. Jarzebski, and J.L. Duda A Deborah number for diffusion in polymer-solvent systems AIChE J. 21 1975 894 900
    • (1975) AIChE J. , vol.21 , pp. 894-900
    • Vrentas, J.M.1    Jarzebski, C.M.2    Duda, J.L.3
  • 67
    • 0343891065 scopus 로고
    • The swelling interface number as a criterion for prediction of diffusional solute release mechanisms in swellable polymers
    • N.A. Peppas, and N.M. Franson The swelling interface number as a criterion for prediction of diffusional solute release mechanisms in swellable polymers J. Polym. Sci. Polym. Phys. Ed. 21 1983 983 997
    • (1983) J. Polym. Sci. Polym. Phys. Ed. , vol.21 , pp. 983-997
    • Peppas, N.A.1    Franson, N.M.2
  • 68
    • 0026621974 scopus 로고
    • Swelling characteristics of hydrophilic matrices for controlled release. New dimensionless number to describe the swelling and release behavior
    • DOI 10.1016/0378-5173(92)90307-N
    • P. Colombo, P.L. Catellani, N.A. Peppas, L. Maggi, and U. Conte Swelling characteristics of hydrophilic matrices for controlled release: new dimensionless number to describe the swelling and release behavior Int. J. Pharm. 88 1992 99 109 (Pubitemid 23000412)
    • (1992) International Journal of Pharmaceutics , vol.88 , Issue.1-3 , pp. 99-109
    • Colombo, P.1    Catellani, P.L.2    Peppas, N.A.3    Maggi, L.4    Conte, U.5
  • 69
    • 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
  • 70
    • 0023764187 scopus 로고
    • A model of dissolution-controlled, diffusional drug release from non-swellable polymeric microspheres
    • R.S. Harland, C. Dubernet, J.P. Benoit, and N.A. Peppas A model of dissolution-controlled, diffusional drug release from non-swellable polymeric microspheres J. Control. Release 7 1988 207 215
    • (1988) J. Control. Release , vol.7 , pp. 207-215
    • Harland, R.S.1    Dubernet, C.2    Benoit, J.P.3    Peppas, N.A.4
  • 71
    • 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 11
    • (1986) J. Control. Release , vol.4 , pp. 1-11
    • Lee, P.I.1
  • 72
    • 0025271066 scopus 로고
    • Drug release from laminated polymeric films prepared from aqueous latexes
    • R. Bodmeier, and O. Paeratakul Drug release from laminated polymeric films prepared from aqueous latexes J. Pharm. Sci. 79 1990 32 36 (Pubitemid 20148510)
    • (1990) Journal of Pharmaceutical Sciences , vol.79 , Issue.1 , pp. 32-36
    • Bodmeier, R.1    Paeratakul, O.2
  • 73
    • 0027225792 scopus 로고
    • Multi-layered hydrophilic matrices as constant release devices (Geomatrix(TM) Systems)
    • DOI 10.1016/0168-3659(93)90207-L
    • U. Conte, L. Maggi, P. Colombo, and A. La Manna Multi-layered hydrophilic matrices as constant release devices (Geomatrix® systems) J. Control. Release 26 1993 39 47 (Pubitemid 23204077)
    • (1993) Journal of Controlled Release , vol.26 , Issue.1 , pp. 39-47
    • Conte, U.1    Maggi, L.2    Colombo, P.3    La Manna, A.4
  • 74
    • 0027436487 scopus 로고
    • Multiple-layer, direct-compression, controlled-release system: In vitro and in vivo evaluation
    • DOI 10.1002/jps.2600820715
    • R.A. Fassihi, and W.A. Ritschel Multiple-layer, direct-compression, controlled-release system: in vitro and in vivo evaluation J. Pharm. Sci. 82 1993 750 754 (Pubitemid 23315697)
    • (1993) Journal of Pharmaceutical Sciences , vol.82 , Issue.7 , pp. 750-754
    • Fassihi, R.A.1    Ritschel, W.A.2
  • 75
    • 0038399818 scopus 로고    scopus 로고
    • Controlled drug delivery from swellable hydroxypropylmethylcellulose matrices: Model-based analysis of observed radial front movements
    • DOI 10.1016/S0168-3659(03)00122-6
    • S. Kiil, and K. Dam-Johansen Controlled drug delivery from swellable hydroxypropylmethylcellulose matrices: model-based analysis of observed radial front movements J. Control. Release 90 2003 1 21 (Pubitemid 36588875)
    • (2003) Journal of Controlled Release , vol.90 , Issue.1 , pp. 1-21
    • Kiil, S.1    Dam-Johansen, K.2
  • 76
    • 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 hydroxypropylmethylcellulose 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
  • 77
    • 0008912030 scopus 로고
    • Interpretation of drug release kinetics from hydrogel matrices in terms of time-dependent diffusion coefficients
    • P.I. Lee, W. Good, ACS Symposium Series American Chemical Society Washington, DC
    • P.I. Lee Interpretation of drug release kinetics from hydrogel matrices in terms of time-dependent diffusion coefficients P.I. Lee, W. Good, Controlled Release Technology ACS Symposium Series 1987 American Chemical Society Washington, DC 71 83
    • (1987) Controlled Release Technology , pp. 71-83
    • Lee, P.I.1
  • 78
    • 0025343766 scopus 로고
    • Modeling drug release from dynamically swelling poly(hydroxyethyl methacrylate-co-methacrylic acid) hydrogels
    • DOI 10.1016/0168-3659(90)90105-3
    • J.H. Kou, D. Fleisher, and G.L. Amidon Modeling drug release from dynamically swelling poly(hydroxyethyl methacrylate-co-methacrylic acid) hydrogels J. Control. Release 12 1990 241 250 (Pubitemid 20162635)
    • (1990) Journal of Controlled Release , vol.12 , Issue.3 , pp. 241-250
    • Kou, J.H.1    Fleisher, D.2    Amidon, G.L.3
  • 79
    • 0032138457 scopus 로고    scopus 로고
    • Controlled drug release asymptotics
    • PII S0036139995293269
    • D.S. Cohen, and T. Erneux Controlled drug release asymptotics SIAM J. Appl. Math. 58 4 1998 1193 1204 (Pubitemid 128689429)
    • (1998) SIAM Journal on Applied Mathematics , vol.58 , Issue.4 , pp. 1193-1204
    • Cohen, D.S.1    Erneux, T.2
  • 80
    • 0001329617 scopus 로고
    • Solute and penetrant diffusion in swellable polymers. 1. Mathematical modeling
    • R.W. Korsmeyer, S.R. Lustig, and N.A. Peppas Solute and penetrant diffusion in swellable polymers. 1. Mathematical modeling J. Polym. Sci. Polym. Phys. Ed. 24 1986 395 408
    • (1986) J. Polym. Sci. Polym. Phys. Ed. , vol.24 , pp. 395-408
    • Korsmeyer, R.W.1    Lustig, S.R.2    Peppas, N.A.3
  • 81
    • 0023641934 scopus 로고
    • Solute and penetrant diffusion in swellable polymers
    • S.R. Lustig, and N.A. Peppas Solute and penetrant diffusion in swellable polymers J. Appl. Polym. Sci. 33 1987 533 549
    • (1987) J. Appl. Polym. Sci. , vol.33 , pp. 533-549
    • Lustig, S.R.1    Peppas, N.A.2
  • 82
    • 0026909315 scopus 로고
    • Continuum thermodynamics and transport theory for polymer-fluid mixtures
    • DOI 10.1016/0009-2509(92)87005-B
    • S.R. Lustig, J.M. Caruthers, and N.A. Peppas Continuum thermodynamics and transport theory for polymer-fluid mixtures Chem. Eng. Sci. 47 1992 3037 3057 (Pubitemid 23572422)
    • (1992) Chemical Engineering Science , vol.47 , Issue.12 , pp. 3037-3057
    • Lustig, S.R.1    Caruthers, J.M.2    Peppas, N.A.3
  • 83
    • 0025388791 scopus 로고
    • Hydrogels at critical conditions. Part 1. Thermodynamics and swelling behavior
    • DOI 10.1016/0376-7388(90)85009-A
    • N.A. Peppas, and L. Brannon-Peppas Hydrogels at critical conditions. 1. Thermodynamics and swelling behavior J. Membr. Sci. 48 1990 281 290 (Pubitemid 20124001)
    • (1990) Journal of Membrane Science , vol.48 , Issue.2-3 , pp. 281-290
    • Peppas, N.A.1    Brannon-Peppas, L.2
  • 84
    • 0025809381 scopus 로고
    • Time-dependent response of ionic polymer networks to pH and ionic strength changes
    • L. Brannon-Peppas, and N.A. Peppas Time-dependent response of ionic polymer networks to pH and ionic strength changes Int. J. Pharm. 70 1991 53 57
    • (1991) Int. J. Pharm. , vol.70 , pp. 53-57
    • Brannon-Peppas, L.1    Peppas, N.A.2
  • 85
    • 1842836163 scopus 로고
    • Complexation in poly(ethylene glycol-methacrylic acid) hydrogels
    • C.L. Bell, and N.A. Peppas Complexation in poly(ethylene glycol-methacrylic acid) hydrogels Polym. Prepr. 34 1 1993 831 832
    • (1993) Polym. Prepr. , vol.34 , Issue.1 , pp. 831-832
    • Bell, C.L.1    Peppas, N.A.2
  • 86
    • 0027558122 scopus 로고
    • Swelling of ionic and neutral polymer networks in ionic solutions
    • DOI 10.1016/0376-7388(93)85242-O
    • D. Hariharan, and N.A. Peppas Swelling of ionic and neutral polymer networks in ionic solutions J. Membr. Sci. 78 1993 1 12 (Pubitemid 23130514)
    • (1993) Journal of Membrane Science , vol.78 , Issue.1-2 , pp. 1-12
    • Hariharan, D.1    Peppas, N.A.2
  • 87
    • 0027399836 scopus 로고
    • Modelling of water transport and solute release in physiologically sensitive gels
    • DOI 10.1016/0168-3659(93)90038-7
    • D. Hariharan, and N.A. Peppas Modeling of water transport and solute release in physiologically sensitive gels J. Control. Release 23 1993 123 136 (Pubitemid 23037815)
    • (1993) Journal of Controlled Release , vol.23 , Issue.2 , pp. 123-136
    • Hariharan, D.1    Peppas, N.A.2
  • 88
    • 0642374428 scopus 로고    scopus 로고
    • The Physics of Polymer Dissolution: Modeling Approaches and Experimental Behavior
    • B. Narasimhan, and N.A. Peppas The physics of polymer dissolution: modeling approaches and experimental behavior Adv. Polym. Sci. 128 1997 157 207 (Pubitemid 127472676)
    • (1997) Advances in Polymer Science , vol.128 , pp. 157-207
    • Narasimhan, B.1    Peppas, N.A.2
  • 90
    • 0028839574 scopus 로고
    • Drug release from hydrophilic matrices. 1. New scaling laws for predicting polymer and drug release based on the polymer disentanglement concentration and the diffusion layer
    • R.T.C. Ju, P.R. Nixon, and M.V. Patel Drug release from hydrophilic matrices. 1. New scaling laws for predicting polymer and drug release based on the polymer disentanglement concentration and the diffusion layer J. Pharm. Sci. 84 1995 1455 1463
    • (1995) J. Pharm. Sci. , vol.84 , pp. 1455-1463
    • Ju, R.T.C.1    Nixon, P.R.2    Patel, M.V.3
  • 91
    • 0028862925 scopus 로고
    • Drug release from hydrophilic matrices. 2. A mathematical model based on the polymer disentanglement concentration and the diffusion layer
    • R.T.C. Ju, P.R. Nixon, M.V. Patel, and D.M. Tong Drug release from hydrophilic matrices. 2. A mathematical model based on the polymer disentanglement concentration and the diffusion layer J. Pharm. Sci. 84 1995 1464 1477
    • (1995) J. Pharm. Sci. , vol.84 , pp. 1464-1477
    • Ju, R.T.C.1    Nixon, P.R.2    Patel, M.V.3    Tong, D.M.4
  • 92
    • 0031042241 scopus 로고    scopus 로고
    • Molecular analysis of drug delivery systems controlled by dissolution of the polymer carrier
    • DOI 10.1021/js960372z
    • B. Narasimhan, and N.A. Peppas Molecular analysis of drug delivery systems controlled by dissolution of the polymer carrier J. Pharm. Sci. 86 3 1997 297 304 (Pubitemid 27113762)
    • (1997) Journal of Pharmaceutical Sciences , vol.86 , Issue.3 , pp. 297-304
    • Narasimhan, B.1    Peppas, N.A.2
  • 95
    • 0030127405 scopus 로고    scopus 로고
    • On the importance of chain reptation in models of dissolution of glassy polymers
    • B. Narasimhan, and N.A. Peppas On the importance of chain reptation in models of dissolution of glassy polymers Macromolecules 29 1996 3283 3291 (Pubitemid 126527419)
    • (1996) Macromolecules , vol.29 , Issue.9 , pp. 3283-3291
    • Narasimhan, B.1    Peppas, N.A.2
  • 96
    • 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
  • 97
    • 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
  • 98
    • 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
  • 99
    • 12844274435 scopus 로고    scopus 로고
    • Mathematical modeling and in vitro study of controlled drug release via a highly swellable and dissoluble polymer matrix: Polyethylene oxide with high molecular weights
    • DOI 10.1016/j.jconrel.2004.11.002, PII S0168365904005334
    • N. Wu, L.S. Wang, D.C.-W. Tan, S.M. Moochhala, and Y.Y. Yang Mathematical modeling and in vitro study of controlled drug release via a highly swellable and dissoluble polymer matrix: polyethylene oxide with high molecular weights J. Control. Release 102 2005 569 581 (Pubitemid 40170201)
    • (2005) Journal of Controlled Release , vol.102 , Issue.3 , pp. 569-581
    • Wu, N.1    Wang, L.-S.2    Tan, D.C.-W.3    Moochhala, S.M.4    Yang, Y.-Y.5
  • 100
    • 33745508756 scopus 로고    scopus 로고
    • A model for the drug release from a polymer matrix tablet-effects of swelling and dissolution
    • DOI 10.1016/j.jconrel.2006.05.004, PII S0168365906001994
    • P. Borgquist, A. Körner, L. Piculell, A. Larsson, and A. Axelsson A model for the drug release from a polymer matrix tablet - effects of swelling and dissolution J. Control. Release 113 2006 216 225 (Pubitemid 43963191)
    • (2006) Journal of Controlled Release , vol.113 , Issue.3 , pp. 216-225
    • Borgquist, P.1    Korner, A.2    Piculell, L.3    Larsson, A.4    Axelsson, A.5
  • 102
    • 0031121491 scopus 로고    scopus 로고
    • Crystal Unfolding and Chain Disentanglement during Semicrystalline Polymer Dissolution
    • S.K. Mallapragada, and N.A. Peppas Crystal unfolding and chain disentanglement during semicrystalline polymer dissolution AIChE J. 43 1997 870 876 (Pubitemid 127480976)
    • (1997) AIChE Journal , vol.43 , Issue.4 , pp. 870-876
    • Mallapragada, S.K.1    Peppas, N.A.2
  • 103
    • 0031036803 scopus 로고    scopus 로고
    • Crystal dissolution-controlled release systems: I. Physical characteristics and modeling analysis
    • DOI 10.1016/S0168-3659(96)01549-0, PII S0168365996015490
    • S.K. Mallapragada, and N.A. Peppas Crystal dissolution-controlled release systems: I. Physical characteristics and modeling analysis J. Control. Release 45 1997 87 94 (Pubitemid 27055796)
    • (1997) Journal of Controlled Release , vol.45 , Issue.1 , pp. 87-94
    • Mallapragada, S.K.1    Peppas, N.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.