메뉴 건너뛰기




Volumn 66, Issue 10, 2011, Pages 2019-2041

Dynamics of diffusion with reversible binding in microscopically heterogeneous membranes: General theory and applications to dermal penetration

Author keywords

Binding rate constants; Diffusion; Homogenisation; Membranes; Microstructure; Reversible trapping

Indexed keywords

ALGEBRAIC EQUATIONS; BINDING BEHAVIORS; BINDING RATE CONSTANTS; COARSE GRAINING; DERMAL PENETRATION; GENERAL THEORY; HETEROGENEOUS MEMBRANES; HOMOGENISATION; MICRO-SCALES; MICROSCOPIC VARIATION; MOLECULAR DIFFUSION; NUMERICAL CALCULATION; PERIODIC MICROSTRUCTURE; RATE LAWS; REVERSIBLE BINDING; REVERSIBLE PROCESS; REVERSIBLE TRAPPING; STRATUM CORNEUM; THREE-DIMENSIONAL UNITS; TISSUE MICROSTRUCTURES; TRANSPORT PROBLEMS; TRAPPING SYSTEMS; TWO PHASE COMPOSITES;

EID: 79953059010     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2011.01.008     Document Type: Article
Times cited : (24)

References (83)
  • 1
    • 0023701378 scopus 로고
    • Heterogeneity effects on permeability-partition coefficient relationships in human stratum corneum
    • Anderson B.D., Higuchi W.I., Raykar P.V. Heterogeneity effects on permeability-partition coefficient relationships in human stratum corneum. Pharmaceutical Research 1988, 5(9):566-573.
    • (1988) Pharmaceutical Research , vol.5 , Issue.9 , pp. 566-573
    • Anderson, B.D.1    Higuchi, W.I.2    Raykar, P.V.3
  • 2
    • 0024365207 scopus 로고
    • Solute structure-permeability relationships in human stratum corneum
    • Anderson B.D., Raykar P.V. Solute structure-permeability relationships in human stratum corneum. Journal of Investigative Dermatology 1989, 93(2):280-286.
    • (1989) Journal of Investigative Dermatology , vol.93 , Issue.2 , pp. 280-286
    • Anderson, B.D.1    Raykar, P.V.2
  • 3
    • 0035066275 scopus 로고    scopus 로고
    • Diffusion modeling of percutaneous absorption kinetics: 2. Finite vehicle volume and solvent deposited solids
    • Anissimov Y.G., Roberts M.S. Diffusion modeling of percutaneous absorption kinetics: 2. Finite vehicle volume and solvent deposited solids. Journal of Pharmaceutical Sciences 2001, 90(4):504-520.
    • (2001) Journal of Pharmaceutical Sciences , vol.90 , Issue.4 , pp. 504-520
    • Anissimov, Y.G.1    Roberts, M.S.2
  • 4
    • 0842267694 scopus 로고    scopus 로고
    • Diffusion modeling of percutaneous absorption kinetics: 3. Variable diffusion and partition coefficients, consequences for stratum corneum depth profiles and desorption kinetics
    • Anissimov Y.G., Roberts M.S. Diffusion modeling of percutaneous absorption kinetics: 3. Variable diffusion and partition coefficients, consequences for stratum corneum depth profiles and desorption kinetics. Journal of Pharmaceutical Sciences 2004, 93(2):470-487.
    • (2004) Journal of Pharmaceutical Sciences , vol.93 , Issue.2 , pp. 470-487
    • Anissimov, Y.G.1    Roberts, M.S.2
  • 5
    • 59849122149 scopus 로고    scopus 로고
    • Diffusion modelling of percutaneous absorption kinetics: 4. Effects of a slow equilibration process within stratum corneum on absorption and desorption kinetics
    • Anissimov Y.G., Roberts M.S. Diffusion modelling of percutaneous absorption kinetics: 4. Effects of a slow equilibration process within stratum corneum on absorption and desorption kinetics. Journal of Pharmaceutical Sciences 2009, 98(2):772-781.
    • (2009) Journal of Pharmaceutical Sciences , vol.98 , Issue.2 , pp. 772-781
    • Anissimov, Y.G.1    Roberts, M.S.2
  • 6
    • 33749985016 scopus 로고    scopus 로고
    • Transcellular route of diffusion through stratum corneum: results from finite element models
    • Barbero A.M., Frasch H.F. Transcellular route of diffusion through stratum corneum: results from finite element models. Journal of Pharmaceutical Sciences 2006, 95(10):2186-2194.
    • (2006) Journal of Pharmaceutical Sciences , vol.95 , Issue.10 , pp. 2186-2194
    • Barbero, A.M.1    Frasch, H.F.2
  • 8
    • 0001262722 scopus 로고
    • The effective reaction rate and diffusion coefficients for a two-phase medium
    • Bedeaux D., Kapral R. The effective reaction rate and diffusion coefficients for a two-phase medium. Journal of Chemical Physics 1983, 79(4):1783-1788.
    • (1983) Journal of Chemical Physics , vol.79 , Issue.4 , pp. 1783-1788
    • Bedeaux, D.1    Kapral, R.2
  • 12
    • 0021934672 scopus 로고
    • A model for the diffusion of fluorescent probes in the septate giant axon of earthworm
    • Brink P.R., Ramanan S.V. A model for the diffusion of fluorescent probes in the septate giant axon of earthworm. Biophysical Journal 1985, 48(2):299-309.
    • (1985) Biophysical Journal , vol.48 , Issue.2 , pp. 299-309
    • Brink, P.R.1    Ramanan, S.V.2
  • 13
    • 0000411178 scopus 로고
    • The ultrastructure of the tonofibrils in the keratinization process of normal human epidermis
    • Brody I. The ultrastructure of the tonofibrils in the keratinization process of normal human epidermis. Journal of Ultrastructure Research 1960, 4(3-4):264-297.
    • (1960) Journal of Ultrastructure Research , vol.4 , Issue.3-4 , pp. 264-297
    • Brody, I.1
  • 14
    • 2942583872 scopus 로고
    • Diffusion and reversible reaction in a medium with penetrable sinks
    • Calef D.F., Deutch J.M. Diffusion and reversible reaction in a medium with penetrable sinks. Journal of Chemical Physics 1983, 79(1):203-212.
    • (1983) Journal of Chemical Physics , vol.79 , Issue.1 , pp. 203-212
    • Calef, D.F.1    Deutch, J.M.2
  • 17
    • 17844389701 scopus 로고    scopus 로고
    • Physical enhancement of transdermal drug application: is delivery technology keeping up with pharmaceutical development?
    • Cross S.E., Roberts M.S. Physical enhancement of transdermal drug application: is delivery technology keeping up with pharmaceutical development?. Current Drug Delivery 2004, 1(1):81-92.
    • (2004) Current Drug Delivery , vol.1 , Issue.1 , pp. 81-92
    • Cross, S.E.1    Roberts, M.S.2
  • 20
    • 79953037401 scopus 로고
    • EISPACK - A Package for Solving Matrix Eigenvalue Problems. Math. & Comp. Sci. Div., Tech. Memo., Argonne National Laboratory.
    • Dongarra, J.J., Moler, C.B., 1984. EISPACK - A Package for Solving Matrix Eigenvalue Problems. Math. & Comp. Sci. Div., Tech. Memo., Argonne National Laboratory.
    • (1984)
    • Dongarra, J.J.1    Moler, C.B.2
  • 22
    • 0000076228 scopus 로고
    • Diffusion coefficient for a Brownian particle in a periodic field of force. I. Large friction limit
    • Festa R., Galleani d'Agliano E. Diffusion coefficient for a Brownian particle in a periodic field of force. I. Large friction limit. Physica A 1978, 90(2):229-244.
    • (1978) Physica A , vol.90 , Issue.2 , pp. 229-244
    • Festa, R.1    Galleani d'Agliano, E.2
  • 23
    • 1842636950 scopus 로고    scopus 로고
    • Modelling skin permeability in risk assessment - the future
    • Fitzpatrick D., Corish J., Hayes B. Modelling skin permeability in risk assessment - the future. Chemosphere 2004, 55(10):1309-1314.
    • (2004) Chemosphere , vol.55 , Issue.10 , pp. 1309-1314
    • Fitzpatrick, D.1    Corish, J.2    Hayes, B.3
  • 24
    • 0027955474 scopus 로고
    • A domain mosaic model of the skin barrier
    • Forslind B. A domain mosaic model of the skin barrier. Acta Dermato-Venereologica 1994, 74(1):1-6.
    • (1994) Acta Dermato-Venereologica , vol.74 , Issue.1 , pp. 1-6
    • Forslind, B.1
  • 25
    • 79955604477 scopus 로고    scopus 로고
    • Tissue binding affects the kinetics of theophylline diffusion through the stratum corneum barrier layer of skin. Journal of Pharmaceutical Sciences, in press, doi: 10.1002/jps.22489.
    • Frasch, H.F., Barbero, A.M., Hettick, J.M., Nitsche, J.M. Tissue binding affects the kinetics of theophylline diffusion through the stratum corneum barrier layer of skin. Journal of Pharmaceutical Sciences, in press, doi: 10.1002/jps.22489.
    • Frasch, H.F.1    Barbero, A.M.2    Hettick, J.M.3    Nitsche, J.M.4
  • 26
    • 0028960497 scopus 로고
    • Approximating the effects of diffusion on reversible reactions at the cell surface: ligand-receptor kinetics
    • Goldstein B., Dembo M. Approximating the effects of diffusion on reversible reactions at the cell surface: ligand-receptor kinetics. Biophysical Journal 1995, 68(4):1222-1230.
    • (1995) Biophysical Journal , vol.68 , Issue.4 , pp. 1222-1230
    • Goldstein, B.1    Dembo, M.2
  • 28
    • 85056976271 scopus 로고    scopus 로고
    • Feasibility assessment in topical and transdermal delivery: mathematical models and in vitro studies
    • Marcel Dekker, New York, R. Guy, J. Hadgraft (Eds.)
    • Hadgraft J., Guy R.H. Feasibility assessment in topical and transdermal delivery: mathematical models and in vitro studies. Transdermal Drug Delivery, 2003, 1-23. Marcel Dekker, New York. second ed. R. Guy, J. Hadgraft (Eds.).
    • (2003) Transdermal Drug Delivery, , pp. 1-23
    • Hadgraft, J.1    Guy, R.H.2
  • 32
    • 33644774763 scopus 로고    scopus 로고
    • Probabilistic modeling of percutaneous absorption for risk-based exposure assessments and transdermal drug delivery
    • Ho C.K. Probabilistic modeling of percutaneous absorption for risk-based exposure assessments and transdermal drug delivery. Statistical Methodology 2004, 1(1-2):47-69.
    • (2004) Statistical Methodology , vol.1 , Issue.1-2 , pp. 47-69
    • Ho, C.K.1
  • 33
    • 0014861154 scopus 로고
    • The intracellular transport and distribution of cysteamine phosphate derivatives
    • Horowitz S.B., Fenichel I.R., Hoffman B., Kollmann G., Shapiro B. The intracellular transport and distribution of cysteamine phosphate derivatives. Biophysical Journal 1970, 10(10):994-1010.
    • (1970) Biophysical Journal , vol.10 , Issue.10 , pp. 994-1010
    • Horowitz, S.B.1    Fenichel, I.R.2    Hoffman, B.3    Kollmann, G.4    Shapiro, B.5
  • 34
    • 0037157671 scopus 로고    scopus 로고
    • Prediction of trapping rates in mixtures of partially absorbing spheres
    • Kansal A.R., Torquato S. Prediction of trapping rates in mixtures of partially absorbing spheres. Journal of Chemical Physics 2002, 116(24):10589-10597.
    • (2002) Journal of Chemical Physics , vol.116 , Issue.24 , pp. 10589-10597
    • Kansal, A.R.1    Torquato, S.2
  • 35
    • 0035131447 scopus 로고    scopus 로고
    • Kinetics of finite dose absorption through skin 1. Vanillylnonanamide
    • Kasting G.B. Kinetics of finite dose absorption through skin 1. Vanillylnonanamide. Journal of Pharmaceutical Sciences 2001, 90(2):202-212.
    • (2001) Journal of Pharmaceutical Sciences , vol.90 , Issue.2 , pp. 202-212
    • Kasting, G.B.1
  • 40
    • 36849120663 scopus 로고
    • On the self-diffusion of ions in a polyelectrolyte solution
    • Lifson S., Jackson J.L. On the self-diffusion of ions in a polyelectrolyte solution. Journal of Chemical Physics 1962, 36(9):2410-2414.
    • (1962) Journal of Chemical Physics , vol.36 , Issue.9 , pp. 2410-2414
    • Lifson, S.1    Jackson, J.L.2
  • 41
    • 0001116935 scopus 로고    scopus 로고
    • Diffusion and reaction in regular arrays of spheres
    • Lu S.-Y. Diffusion and reaction in regular arrays of spheres. Journal of Chemical Physics 1998, 109(12):4985-4989.
    • (1998) Journal of Chemical Physics , vol.109 , Issue.12 , pp. 4985-4989
    • Lu, S.-Y.1
  • 42
    • 0037084435 scopus 로고    scopus 로고
    • A first-passage scheme for determination of overall rate constants for non-diffusion-limited suspensions
    • Lu S.-Y., Yen Y.-M. A first-passage scheme for determination of overall rate constants for non-diffusion-limited suspensions. Journal of Chemical Physics 2002, 116(7):3128-3133.
    • (2002) Journal of Chemical Physics , vol.116 , Issue.7 , pp. 3128-3133
    • Lu, S.-Y.1    Yen, Y.-M.2
  • 43
    • 0008508050 scopus 로고
    • Dispersion, convection, and reaction in porous media
    • Mauri R. Dispersion, convection, and reaction in porous media. Physics of Fluids A: Fluid Dynamics 1991, 3(5):743-756.
    • (1991) Physics of Fluids A: Fluid Dynamics , vol.3 , Issue.5 , pp. 743-756
    • Mauri, R.1
  • 46
    • 37849014835 scopus 로고    scopus 로고
    • In-silico model of skin penetration based on experimentally determined input parameters. Part II: mathematical modelling of in vitro diffusion experiments. Identification of critical input parameters
    • Naegel A., Hansen S., Neumann D., Lehr C.-M., Schaefer U.F., Wittum G., Heisig M. In-silico model of skin penetration based on experimentally determined input parameters. Part II: mathematical modelling of in vitro diffusion experiments. Identification of critical input parameters. European Journal of Pharmaceutics and Biopharmaceutics 2008, 68(2):368-379.
    • (2008) European Journal of Pharmaceutics and Biopharmaceutics , vol.68 , Issue.2 , pp. 368-379
    • Naegel, A.1    Hansen, S.2    Neumann, D.3    Lehr, C.-M.4    Schaefer, U.F.5    Wittum, G.6    Heisig, M.7
  • 47
    • 67349183283 scopus 로고    scopus 로고
    • A comparison of two- and three-dimensional models for the simulation of the permeability of human stratum corneum
    • Naegel A., Heisig M., Wittum G. A comparison of two- and three-dimensional models for the simulation of the permeability of human stratum corneum. European Journal of Pharmaceutics and Biopharmaceutics 2009, 72(2):332-338.
    • (2009) European Journal of Pharmaceutics and Biopharmaceutics , vol.72 , Issue.2 , pp. 332-338
    • Naegel, A.1    Heisig, M.2    Wittum, G.3
  • 49
    • 1942423636 scopus 로고    scopus 로고
    • A transient diffusion model yields unitary gap junctional permeabilities from images of cell-to-cell fluorescent dye transfer between Xenopus oocytes
    • Nitsche J.M., Chang H.-C., Weber P.A., Nicholson B.J. A transient diffusion model yields unitary gap junctional permeabilities from images of cell-to-cell fluorescent dye transfer between Xenopus oocytes. Biophysical Journal 2004, 86(4):2058-2077.
    • (2004) Biophysical Journal , vol.86 , Issue.4 , pp. 2058-2077
    • Nitsche, J.M.1    Chang, H.-C.2    Weber, P.A.3    Nicholson, B.J.4
  • 50
    • 85056917641 scopus 로고    scopus 로고
    • Biophysical models for skin transport and absorption
    • Informa Healthcare, New York, M.S. Roberts, K.A. Walters (Eds.)
    • Nitsche J.M., Kasting G.B. Biophysical models for skin transport and absorption. Dermal Absorption and Toxicity Assessment 2008, 251-269. Informa Healthcare, New York. M.S. Roberts, K.A. Walters (Eds.).
    • (2008) Dermal Absorption and Toxicity Assessment , pp. 251-269
    • Nitsche, J.M.1    Kasting, G.B.2
  • 51
    • 33645368317 scopus 로고    scopus 로고
    • A two-phase analysis of solute partitioning into the stratum corneum
    • Nitsche J.M., Wang T.-F., Kasting G.B. A two-phase analysis of solute partitioning into the stratum corneum. Journal of Pharmaceutical Sciences 2006, 95(3):649-666.
    • (2006) Journal of Pharmaceutical Sciences , vol.95 , Issue.3 , pp. 649-666
    • Nitsche, J.M.1    Wang, T.-F.2    Kasting, G.B.3
  • 52
    • 0034778702 scopus 로고    scopus 로고
    • Skin barrier structure and formation: the single gel phase model
    • Norlén L. Skin barrier structure and formation: the single gel phase model. Journal of Investigative Dermatology 2001, 117(4):830-836.
    • (2001) Journal of Investigative Dermatology , vol.117 , Issue.4 , pp. 830-836
    • Norlén, L.1
  • 54
    • 36549096857 scopus 로고
    • Reaction-diffusion dynamics in inhomogeneous systems
    • Ohtsuki T., Keyes T. Reaction-diffusion dynamics in inhomogeneous systems. Journal of Chemical Physics 1987, 87(10):6060-6065.
    • (1987) Journal of Chemical Physics , vol.87 , Issue.10 , pp. 6060-6065
    • Ohtsuki, T.1    Keyes, T.2
  • 55
    • 0004217602 scopus 로고
    • McGraw-Hill, New York, R.H. Perry, C.H. Chilton (Eds.)
    • Chemical Engineers' Handbook 1973, McGraw-Hill, New York. fifth ed. R.H. Perry, C.H. Chilton (Eds.).
    • (1973) Chemical Engineers' Handbook
  • 56
    • 36049033182 scopus 로고    scopus 로고
    • Direct visualization of lipid domains in human skin stratum corneum's lipid membranes: effect of pH and temperature
    • Plasencia I., Norlén L., Bagatolli L.A. Direct visualization of lipid domains in human skin stratum corneum's lipid membranes: effect of pH and temperature. Biophysical Journal 2007, 93(9):3142-3155.
    • (2007) Biophysical Journal , vol.93 , Issue.9 , pp. 3142-3155
    • Plasencia, I.1    Norlén, L.2    Bagatolli, L.A.3
  • 58
    • 0023982575 scopus 로고
    • The role of protein and lipid domains in the uptake of solutes by human stratum corneum
    • Raykar P.V., Fung M.-C., Anderson B.D. The role of protein and lipid domains in the uptake of solutes by human stratum corneum. Pharmaceutical Research 1988, 5(3):140-150.
    • (1988) Pharmaceutical Research , vol.5 , Issue.3 , pp. 140-150
    • Raykar, P.V.1    Fung, M.-C.2    Anderson, B.D.3
  • 59
    • 0000544643 scopus 로고
    • On the influence of obstacles arranged in rectangular order upon the properties of a medium
    • Rayleigh L. On the influence of obstacles arranged in rectangular order upon the properties of a medium. Philosophical Magazine Series 5 1892, 34(211):481-502.
    • (1892) Philosophical Magazine Series 5 , vol.34 , Issue.211 , pp. 481-502
    • Rayleigh, L.1
  • 60
    • 0028000149 scopus 로고
    • Organization of stratum corneum lipids in relation to permeability: influence of sodium lauryl sulfate and preheating
    • Ribaud C., Garson J.C., Doucet J., Leveque J.L. Organization of stratum corneum lipids in relation to permeability: influence of sodium lauryl sulfate and preheating. Pharmaceutical Research 1994, 11(10):1414-1418.
    • (1994) Pharmaceutical Research , vol.11 , Issue.10 , pp. 1414-1418
    • Ribaud, C.1    Garson, J.C.2    Doucet, J.3    Leveque, J.L.4
  • 61
    • 1442330303 scopus 로고    scopus 로고
    • Estimating contaminant dose for intermittent dermal contact: model development, testing, and application
    • Riley W.J., McKone T.E., Hubal E.A.C. Estimating contaminant dose for intermittent dermal contact: model development, testing, and application. Risk Analysis 2004, 24(1):73-85.
    • (2004) Risk Analysis , vol.24 , Issue.1 , pp. 73-85
    • Riley, W.J.1    McKone, T.E.2    Hubal, E.A.C.3
  • 62
    • 33947323736 scopus 로고    scopus 로고
    • Using the method of homogenization to calculate the effective diffusivity of the stratum corneum
    • Rim J.E., Pinsky P.M., van Osdol W.W. Using the method of homogenization to calculate the effective diffusivity of the stratum corneum. Journal of Membrane Science 2007, 293(1-2):174-182.
    • (2007) Journal of Membrane Science , vol.293 , Issue.1-2 , pp. 174-182
    • Rim, J.E.1    Pinsky, P.M.2    van Osdol, W.W.3
  • 63
    • 39649116621 scopus 로고    scopus 로고
    • Using the method of homogenization to calculate the effective diffusivity of the stratum corneum with permeable corneocytes
    • Rim J.E., Pinsky P.M., van Osdol W.W. Using the method of homogenization to calculate the effective diffusivity of the stratum corneum with permeable corneocytes. Journal of Biomechanics 2008, 41(4):788-796.
    • (2008) Journal of Biomechanics , vol.41 , Issue.4 , pp. 788-796
    • Rim, J.E.1    Pinsky, P.M.2    van Osdol, W.W.3
  • 65
    • 0002113356 scopus 로고    scopus 로고
    • The relationship between structure and barrier function of skin
    • Marcel Dekker, New York, M.S. Roberts, K.A. Walters (Eds.)
    • Roberts M.S., Walters K. The relationship between structure and barrier function of skin. Dermal Absorption and Toxicity Assessment 1998, 1-42. Marcel Dekker, New York. M.S. Roberts, K.A. Walters (Eds.).
    • (1998) Dermal Absorption and Toxicity Assessment , pp. 1-42
    • Roberts, M.S.1    Walters, K.2
  • 68
    • 0013812406 scopus 로고
    • Mechanism of percutaneous adsorption. I. Routes of penetration and the influence of solubility
    • Scheuplein R.J. Mechanism of percutaneous adsorption. I. Routes of penetration and the influence of solubility. Journal of Investigative Dermatology 1965, 45(5):334-346.
    • (1965) Journal of Investigative Dermatology , vol.45 , Issue.5 , pp. 334-346
    • Scheuplein, R.J.1
  • 70
    • 0023853398 scopus 로고
    • Dispersion of a chemically reactive solute in a spatially periodic model of a porous medium
    • Shapiro M., Brenner H. Dispersion of a chemically reactive solute in a spatially periodic model of a porous medium. Chemical Engineering Science 1988, 43(3):551-571.
    • (1988) Chemical Engineering Science , vol.43 , Issue.3 , pp. 551-571
    • Shapiro, M.1    Brenner, H.2
  • 71
    • 0024323106 scopus 로고
    • Physicochemical, physiological, and mathematical considerations in optimizing percutaneous absorption of drugs
    • Siddiqui O. Physicochemical, physiological, and mathematical considerations in optimizing percutaneous absorption of drugs. Critical Reviews in Therapeutic Drug Carrier Systems 1989, 6(1):1-38.
    • (1989) Critical Reviews in Therapeutic Drug Carrier Systems , vol.6 , Issue.1 , pp. 1-38
    • Siddiqui, O.1
  • 72
    • 15244362280 scopus 로고    scopus 로고
    • Characterization of relaxation to steady state in membranes with binding and reaction
    • Siegel R.A. Characterization of relaxation to steady state in membranes with binding and reaction. Journal of Membrane Science 2005, 251(1-2):91-99.
    • (2005) Journal of Membrane Science , vol.251 , Issue.1-2 , pp. 91-99
    • Siegel, R.A.1
  • 73
    • 2942690158 scopus 로고    scopus 로고
    • Analysis of binding reactions by fluorescence recovery after photobleaching
    • Sprague B.L., Pego R.L., Stavreva D.A., McNally J.G. Analysis of binding reactions by fluorescence recovery after photobleaching. Biophysical Journal 2004, 86(6):3473-3495.
    • (2004) Biophysical Journal , vol.86 , Issue.6 , pp. 3473-3495
    • Sprague, B.L.1    Pego, R.L.2    Stavreva, D.A.3    McNally, J.G.4
  • 76
    • 0000564828 scopus 로고
    • Diffusion and reaction among traps: some theoretical and simulation results
    • Torquato S. Diffusion and reaction among traps: some theoretical and simulation results. Journal of Statistical Physics 1991, 65(5-6):1173-1206.
    • (1991) Journal of Statistical Physics , vol.65 , Issue.5-6 , pp. 1173-1206
    • Torquato, S.1
  • 77
    • 36449003216 scopus 로고
    • Diffusion and reaction in heterogeneous media: pore size distribution, relaxation times, and mean survival time
    • Torquato S., Avellaneda M. Diffusion and reaction in heterogeneous media: pore size distribution, relaxation times, and mean survival time. Journal of Chemical Physics 1991, 95(9):6477-6489.
    • (1991) Journal of Chemical Physics , vol.95 , Issue.9 , pp. 6477-6489
    • Torquato, S.1    Avellaneda, M.2
  • 78
    • 34548539134 scopus 로고    scopus 로고
    • First-passage approach for permeable traps
    • (7 pages)
    • Vaughn M.W. First-passage approach for permeable traps. Journal of Chemical Physics 2005, 123(13):134905. (7 pages).
    • (2005) Journal of Chemical Physics , vol.123 , Issue.13 , pp. 134905
    • Vaughn, M.W.1
  • 79
    • 77956229742 scopus 로고    scopus 로고
    • Determination of partition and binding properties of solutes to stratum corneum
    • Wang L., Chen L., Lian G., Han L. Determination of partition and binding properties of solutes to stratum corneum. International Journal of Pharmaceutics 2010, 398(1-2):114-122.
    • (2010) International Journal of Pharmaceutics , vol.398 , Issue.1-2 , pp. 114-122
    • Wang, L.1    Chen, L.2    Lian, G.3    Han, L.4
  • 80
    • 33645371782 scopus 로고    scopus 로고
    • A multiphase microscopic diffusion model for stratum corneum permeability. I. Formulation, solution, and illustrative results for representative compounds
    • Wang T.-F., Kasting G.B., Nitsche J.M. A multiphase microscopic diffusion model for stratum corneum permeability. I. Formulation, solution, and illustrative results for representative compounds. Journal of Pharmaceutical Sciences 2006, 95(3):620-648.
    • (2006) Journal of Pharmaceutical Sciences , vol.95 , Issue.3 , pp. 620-648
    • Wang, T.-F.1    Kasting, G.B.2    Nitsche, J.M.3
  • 81
    • 36849008672 scopus 로고    scopus 로고
    • A multiphase microscopic diffusion model for stratum corneum permeability. II. Estimation of physicochemical parameters, and application to a large permeability database
    • Wang T.-F., Kasting G.B., Nitsche J.M. A multiphase microscopic diffusion model for stratum corneum permeability. II. Estimation of physicochemical parameters, and application to a large permeability database. Journal of Pharmaceutical Sciences 2007, 96(11):3024-3051.
    • (2007) Journal of Pharmaceutical Sciences , vol.96 , Issue.11 , pp. 3024-3051
    • Wang, T.-F.1    Kasting, G.B.2    Nitsche, J.M.3
  • 82
    • 0024797821 scopus 로고
    • The barrier function of the skin in relation to percutaneous absorption of drugs
    • Wiechers J.W. The barrier function of the skin in relation to percutaneous absorption of drugs. Pharmaceutisch Weekblad Scientific Edition 1989, 11(6):185-198.
    • (1989) Pharmaceutisch Weekblad Scientific Edition , vol.11 , Issue.6 , pp. 185-198
    • Wiechers, J.W.1
  • 83
    • 0015460309 scopus 로고
    • A two phase series model for the transport of steroids across the fully hydrated stratum corneum
    • Yotsuyanagi T., Higuchi W.I. A two phase series model for the transport of steroids across the fully hydrated stratum corneum. Journal of Pharmacy and Pharmacology 1972, 24(12):934-941.
    • (1972) Journal of Pharmacy and Pharmacology , vol.24 , Issue.12 , pp. 934-941
    • Yotsuyanagi, T.1    Higuchi, W.I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.