Erratum to "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" [Eur. J. Pharm. Biopharm. 68 (2008) 368-379] (DOI:10.1016/j.ejpb.2007.05.018);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

Volumn 68, Issue 2, 2008, Pages 368-379

  Naegel, Arne ^a   Hansen, Steffi ^b   Neumann, Dirk ^b   Lehr, Claus Michael ^b   Schaefer, Ulrich F ^b   Wittum, Gabriel ^a   Heisig, Michael ^a  

^a UNIVERSITY OF HEIDELBERG   (Germany)

^b SAARLAND UNIVERSITY   (Germany)

Author keywords

Concentration depth profiles; Drug diffusion; Mathematical modelling; Numerical simulation; Skin

Indexed keywords

SKIN LIPID;

ARTICLE; CELL VIABILITY; CONCENTRATION (PARAMETERS); DIFFUSION COEFFICIENT; DRUG DIFFUSION; DRUG PENETRATION; DRUG TRANSPORT; MATHEMATICAL MODEL; MATHEMATICAL PARAMETERS; PARTITION COEFFICIENT; SKIN PENETRATION; STRATUM CORNEUM;

EID: 37849014835     PISSN: 09396411     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejpb.2008.01.008     Document Type: Erratum

References (56)

1. Hansen S., Henning A., Naegel A., Heisig M., Wittum G., Neumann D., Kostka K.-H., Zbytovska J., Lehr C.M., and Schaefer U.F. In-silico model of skin penetration based on experimentally determined input parameters. Part I: Experimental determination of partition and diffusion coefficients. Eur. J. Pharm. Biopharm. 68 (2007) 352-367
2. A.D. Jones, I. Dick, J. Cherrie, M. Cronin, J.V. de Sandt, D. Esdaile, S. Iyengar, W. ten Berge, S. Wilkinson, C. Roper, S. Semple, C. de Heer, F. Williams, CEFIC Workshop on methods to determine dermal permeation for human risk assessment, Tech. Rep. TM/04/07, Institute of Occupational Medicine, Research Park North, Riccarton, Edinburgh, EHf4 4AP, Scotland, UK (2004).
3. Williams F.M. EDETOX. Evaluations and predictions of dermal absorption of toxic chemicals. Int. Arch. Occup. Environ. Health 77 2 (2004) 150-151
4. Commission of the European Communities, Commission Proposal for a Regulation of the European Parliament and of the Council concerning the Registration, Evaluation, Authorisation and Restrictions of Chemicals (REACH), Establishing a European Chemicals Agency and amending Directive 1999/45/EC on the classification, packaging and labelling of dangerous preparations and Regulation (EC) from 29 October 2003, Brussels, 29.10.2003, COM (2003) 644 final.
5. Guy R., and Hadgraft J. Transdermal drug delivery: a simplified pharma-cokinetic approach. Int. J. Pharm. 24 (1985) 267-274
6. Guy R., Hadgraft J., and Maibach H. A pharmacokinetic model for percutaneous absorption. Int. J. Pharm. 11 (1982) 119-129
7. McCarley K.D., and Bunge A.L. Physiologically relevant one-compartment pharmacokinetic models for skin. 1. Development of models. J. Pharm. Sci. 87 4 (1998) 470-481
8. Reddy M.B., McCarley K.D., and Bunge A.L. Physiologically relevant one-compartment pharmacokinetic models for skin. 2. Comparison of models when combined with a systemic pharmacokinetic model. J. Pharm. Sci. 87 4 (1998) 482-490
9. McCarley K.D., and Bunge A.L. Physiologically relevant two-compartment pharmacokinetic models for skin. J. Pharm. Sci. 89 9 (2000) 1212-1235
10. McCarley K.D., and Bunge A.L. Pharmacokinetic models of dermal absorption. J. Pharm. Sci. 90 11 (2001) 1699-1719
11. Gienger G., Knoch A., and Merkle H.P. Modeling and numerical computation of drug transport in laminates: model case evaluation of transdermal delivery system. J. Pharm. Sci. 75 1 (1986) 9-15
12. M. Wolf, Mathematisch-physikalische Berechnungs- und Simulationsmod elle zur Beschreibung und Entwicklung therapeutischer Systeme, Habilitation thesis, University of Bonn (1993) (in German).
13. Schmauder M. Diffusion through the human skin - an unexpected application of a PDE-black-box-solver. ZAMM 75 (1995) 707-708
14. Sugibayashi K., Hayashi T., Hatanaka T., Ogihara M., and Morimoto Y. Analysis of simultaneous transport and metabolism of ethyl nicotinate in hairless rat skin. Pharm. Res. 13 6 (1996) 855-860
15. Sugibayashi K., Hayashi T., and Morimoto Y. Simultaneous transport and metabolism of ethyl nicotinate in hairless rat skin after its topical application: the effect of enzyme distribution in skin. J. Control. Release 62 1-2 (1999) 201-208
16. Manitz R., Lucht W., Strehmel K., Weiner R., and Neubert R. On mathematical modeling of dermal and transdermal drug delivery. J. Pharm. Sci. 87 7 (1998) 873-879
17. Boderke P., Schittkowski K., Wolf M., and Merkle H.P. Modeling of diffusion and concurrent metabolism in cutaneous tissue. J. Theor. Biol. 204 3 (2000) 393-407
18. Kubota K., Dey F., Matar S., and Twizell E. A repeated-dose model of percutaneous drug absorption. Appl. Math. Model. 26 (2002) 529-544
19. Charalambopoulou G.C., Karamertzanis P., Kikkinides E.S., Stubos A.K., Kanellopoulos N.K., and Papaioannou A.T. A study on structural and diffusion properties of porcine stratum corneum based on very small angle neutron scattering data. Pharm. Res. 17 9 (2000) 1085-1091
20. Frasch H.F. A random walk model of skin permeation. Risk Anal. 22 2 (2002) 265-276
21. Frasch H.F., and Barbero A.M. Steady-state flux and lag time in the stratum corneum lipid pathway: results from finite element models. J. Pharm. Sci. 92 11 (2003) 2196-2207
22. Barbero A.M., and Frasch H.F. Modeling of diffusion with partitioning in stratum corneum using a finite element model. Ann. Biomed. Eng. 33 9 (2005) 1281-1292
23. George K., Kubota K., and Twizell E.H. A two-dimensional mathematical model of percutaneous drug absorption. Biomed. Eng. Online 3 1 (2004) 18
24. George K. A two-dimensional mathematical model of non-linear dual-sorption of percutaneous drug absorption. Biomed. Eng. Online 4 (2005) 40
25. Yotsuyanagi T., and Higuchi W.I. A two phase series model for the transport of steroids across the fully hydrated stratum corneum. J. Pharm. Pharmacol. 24 12 (1972) 934-941
26. Michaels A., Chandrasekaran S., and Shaw J. Drug permeation through human skin: theory and in vitro experimental measurement. AIChE 21 5 (1975) 985-996
27. Albery W.J., and Hadgraft J. Percutaneous absorption: theoretical description. J. Pharm. Pharmacol. 31 3 (1979) 129-139
28. Tojo K. Random brick model for drug transport across stratum corneum. J. Pharm. Sci. 76 12 (1987) 889-891
29. Lange-Lieckfeldt R., and Lee G. Use of a model lipid matrix to demonstrate the dependence of the stratum corneum's barrier properties on its internal geometry. J. Control. Release 20 (1992) 183-194
30. Edwards D.A., and Langer R. A linear theory of transdermal transport phenomena. J. Pharm. Sci. 83 9 (1994) 1315-1334
31. Heisig M., Lieckfeldt R., Wittum G., Mazurkevich G., and Lee G. Non steady-state descriptions of drug permeation through stratum corneum. I. The biphasic brick-and-mortar model. Pharm. Res. 13 3 (1996) 421-426
32. Johnson M.E., Blankschtein D., and Langer R. Evaluation of solute permeation through the stratum corneum: lateral bilayer diffusion as the primary transport mechanism. J. Pharm. Sci. 86 10 (1997) 1162-1172
33. Wang T.-F., Kasting G.B., and Nitsche J.M. A multiphase microscopic diffusion model for stratum corneum permeability. I. Formulation, solution, and illustrative results for representative compounds. J. Pharm. Sci. 95 3 (2006) 620-648
34. Barbero A.M., and Frasch H.F. Transcellular route of diffusion through stratum corneum: results from finite element models. J. Pharm. Sci. 95 10 (2006) 2186-2194
35. Yu B., Dong C., So P., Blankschtein D., and Langer R. In vitro visualization and quantification of oleic acid induced changes in transdermal transport using two-photon fluorescence microscopy. J. Invest. Dermatol. 117 1 (2001) 16-25
36. Yu B., Kim K.H., So P.T.C., Blankschtein D., and Langer R. Topographic heterogeneity in transdermal transport revealed by high-speed two-photon microscopy: determination of representative skin sample sizes. J. Invest. Dermatol. 118 6 (2002) 1085-1088
37. Yu B., Kim K.H., So P.T.C., Blankschtein D., and Langer R. Visualization of oleic acid-induced transdermal diffusion pathways using two-photon fluorescence microscopy. J. Invest. Dermatol. 120 3 (2003) 448-455
38. Hanson K.M., Behne M.J., Barry N.P., Mauro T.M., Gratton E., and Clegg R.M. Two-photon fluorescence lifetime imaging of the skin stratum corneum pH gradient. Biophys. J. 83 3 (2002) 1682-1690
39. Jacobi U., Tassopoulos T., Surber C., and Lademann J. Cutaneous distribution and localization of dyes affected by vehicles all with different lipophilicity. Arch. Dermatol. Res. 297 (2006) 303-310
40. Bodde H.E., van den Brink I., Koerten H.K., and de Haan F.H.N. Visualization of in vitro percutaneous penetration of mercuric chloride; transport through intercellular space versus cellular uptake through desmosomes. J. Control. Release 15 (1991) 227-236
41. Abdulmajed K., Heard C.M., McGuigan C., and Pugh W.J. Topical delivery of retinyl ascorbate co-drug. 2. Comparative skin tissue and keratin binding studies. Skin Pharmacol. Physiol. 17 6 (2004) 274-282
42. Harlow F., and Welch E. Numerical calculation of time dependent viscous incompressible flow of fluid with free surface. Phys. Fluids 8 (1965) 2182-2189
43. Chorin A. Numerical solution of the Navier-Stokes equations. Math. Comp. 22 (1968) 745-762
44. Hackbusch W. On first and second order box schemes. Computing 41 (1989) 277-296
45. J. Bey, Finite-Volumen und Mehrgitter-Verfahren für elliptische Randwertprobleme, Advances in numerical mathematics, Teubner, 1998 (in German).
46. Wagner C. On the algebraic construction of multilevel transfer operators. Computing 65 (2000) 73-95
47. A. Naegel, Filternde algebraische Mehrgitterverfahren und Anwendungen, Master's thesis, University of Heidelberg (2005) (in German).
48. Pirot F., Kalia Y.N., Stinchcomb A.L., Keating G., Bunge A., and Guy R.H. Characterization of the permeability barrier of human skin in vivo. Proc. Natl. Acad. Sci. USA 94 4 (1997) 1562-1567
49. Richter T., Peuckert C., Sattler M., Koenig K., Riemann I., Hintze U., Wittern K.-P., Wiesendanger R., and Wepf R. Dead but highly dynamic-the stratum corneum is divided into three hydration zones. Skin Pharmacol. Physiol. 17 5 (2004) 246-257
50. Talreja P., Kleene N.K., Pickens W.L., Wang T.F., and Kasting G.B. Visualization of the lipid barrier and measurement of lipid pathlength in human stratum corneum. AAPS Pharm. Sci. 3 2 (2001) E13
51. Watkinson A., Bunge A., Hadgraft J., and Naik A. Computer simulation of penetrant concentration-depth profiles in the stratum corneum. Int. J. Pharm. 87 (1992) 175-182
52. Anissimov Y.G., and Roberts M.S. Diffusion modeling of percutaneous absorption kinetics: 3. Variable diffusion and partition coefficients, consequences for stratum corneum depth profiles and desorption kinetics. J. Pharm. Sci. 93 2 (2004) 470-487
53. Mueller B., Anissimov Y.G., and Roberts M.S. Unexpected clobetasol propionate profile in human stratum corneum after topical application in vitro. Pharm. Res. 20 11 (2003) 1835-1837
54. Vieth W.R., and Sladek K.J. A model for diffusion in a glassy polymer. J. Coll. Sci. 20 (1965) 1014-1033
55. Nelson E. Dynamical Theories of Brownian Motion. 2nd ed. (2001), Princeton University Press
56. Crank J. The Mathematics of Diffusion (1975), Oxford University Press, London