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Finite dose skin penetration: a comparison of concentration-depth profiles from experiment and simulation

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Computing and Visualization in Science

Abstract

In this paper we present a mathematical diffusion model describing the transient transdermal penetration of two non-volatile substances, the lipophilic flufenamic acid and the hydrophilic caffeine, after finite dosing in an aqueous vehicle system. A striking feature of this microscopic diffusion model is its ability to predict concentration-depth profiles. Relevant input parameters are obtained from a previously published infinite dose study (Naegel et al in Eur J Pharm Biopharm 68:368–379, 2008; Hansen et al in Eur J Pharm Biopharm 68:352–367, 2008). The quality of the model has been evaluated by comparing the concentration-depth profiles in stratum corneum (SC) and deeper skin layers of the experiment with those of the simulation. The results from the experiment and the simulation are in good agreement. The study addresses benefits and shortcomings of the model, and discusses future perspectives such as incorporating different morphological regions of the SC.

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References

  1. Mitragotri S., Anissimov Y.G., Bunge A.L., Frasch H.F., Guy R.H., Hadgraft J., Kasting G.B., Lane M.E., Roberts M.S.: Mathematical models of skin permeability: an overview. Int. J. Pharm. 418, 115–129 (2011)

    Article  Google Scholar 

  2. OECD Guideline for the Testing of Chemicals. Skin Absorption: in vitro Method, 428 (2004)

  3. OECD Guidance Document for the Conduct of Skin Absorption Studies. OECD series on testing and assessment, no. 28 (2004)

  4. Bhatt P.P., Hanna M.S., Szeptycki P., Higuchi T.: Finite dose transport of drugs in liquid formulations through stratum corneum: analytical solution to a diffusion model. Int. J. Pharm. 50, 197–203 (1989)

    Article  Google Scholar 

  5. Kubota K.: Finite dose percutaneous drug absorption: a BASIC program for the solution of the diffusion equation. Comp. Biomed. Res. 24, 196–207 (1991)

    Article  Google Scholar 

  6. Seta Y., Ghanem A.H., Higuchi W.I., Borsadia S., Behl C.R., Malick A.W.: Physical model approach to understanding finite dose transport and uptake of hydrocortisone in hairless guinea-pig skin. Int. J. Pharm. 81, 89–99 (1992)

    Article  Google Scholar 

  7. Anissimov Y.G., Roberts M.S.: Diffusion modeling of percutaneous absorption kinetics: 2. Finite vehicle volume and solvent deposited solids. J. Pharm. Sci. 90, 504–520 (2001)

    Article  Google Scholar 

  8. Kasting G.B.: Kinetics of finite dose absorption through skin 1. Vanillylnonanamide. J. Pharm. Sci. 90, 202–212 (2001)

    Article  Google Scholar 

  9. Kasting G.B., Miller M.A.: Kinetics of finite dose absorption through skin 2. Volatile compounds. J. Pharm. Sci. 95, 268–280 (2006)

    Article  Google Scholar 

  10. Miller M.A., Bhatt V., Kasting G.B.: Absorption and evaporation of benzyl alcohol from skin. J. Pharm. Sci. 95, 281–291 (2006)

    Article  Google Scholar 

  11. Kretsos K., Kasting G.B., Nitsche J.M.: Distributed diffusion—clearance model for transient drug distribution within the skin. J. Pharm. Sci. 93, 2820–2835 (2004)

    Article  Google Scholar 

  12. Kasting G.B., Miller M.A., Bhatt V.D.: A spreadsheet-based method for estimating the skin disposition of volatile compounds: application to n,n-diethyl-m-toluamide (DEET). J. Occup. Env. Hyg. 5, 633–644 (2008)

    Article  Google Scholar 

  13. Nitsche J.M., Kasting G.B.: Biophysical models for skin transport and absorption. In: Roberts, M.S., Walters, K.A. (eds) Dermal Absorption and Toxicity Assessment, 2nd edn, pp. 249–267. Informa Healthcare USA, New York (2008)

    Google Scholar 

  14. Kasting G.B., Miller M.A., Nitsche J.M.: Absorption and evaporation of volatile compounds applied to skin. In: Walters, K.A., Roberts, M.S. (eds) Dermatologic, Cosmeceutic and Cosmetic Development, pp. 385–400. Informa Healthcare USA, New York (2008)

    Google Scholar 

  15. 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. Eur. J. Pharm. Biopharm. 68, 368– 379 (2008)

    Article  Google Scholar 

  16. Hansen S., Henning A., Naegel A., Heisig M., Wittum G., Neumann D., Kostka K.-H., Zbytovska J., Lehr C.M., 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, 352–367 (2008)

    Article  Google Scholar 

  17. Naegel A., Heisig M., Wittum G.: Computational Modeling of the skin barrier. Methods Mol. Biol. 763, 1–32 (2011)

    Article  Google Scholar 

  18. Selzer, D., Hahn, T., Naegel, A., Heisig, M., Kostka, K.H., Lehr, C.M., Neumann, D., Schäfer, U.F., Wittum, G.: Finite dose skin mass balance including the lateral part—comparison between experiment, pharmacokinetic modeling, and diffusion models. J. Contr. Rel. (2012, to appear)

  19. Wagner H., Kostka K.H., Lehr C.M., Schaefer U.F.: Drug distribution in human skin using two different in vitro test systems: comparison with in vivo data. Pharm. Res. 17, 1475–1481 (2000)

    Article  Google Scholar 

  20. Idson B.: Percutaneous absorption. J. Pharm. Sci. 64, 901–924 (1975)

    Article  Google Scholar 

  21. King C.S., Barton S.P., Nicholls S., Marks R.: The change in stratum corneum as a function of depth. Br. J. Dermatol. 100, 165–172 (1979)

    Article  Google Scholar 

  22. Anissimov Y.G., Roberts M.S.: Diffusion modeling of percutaneous absorption kinetics: 4. Effects of a slow equilibration process within stratum corneum on absorption and desorption kinetics. J. Pharm. Sci. 98, 772–781 (2009)

    Article  Google Scholar 

  23. Nitsche J.M., Frasch H.F.: Dynamics of diffusion with reversible binding in microscopically heterogeneous membranes: general theory and applications to dermal penetration. Chem. Eng. Sci. 66, 2019–2026 (2011)

    Article  Google Scholar 

  24. 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. J. Pharm. Sci. 100, 2989–2995 (2011)

    Article  Google Scholar 

  25. Hahn T., Hansen S., Neumann D., Kostka K.H., Lehr C.M., Muys L., Schaefer U.F.: Infrared densitometry: a fast and non-destructive method for exact stratum corneum depth calculation for in vitro tape-stripping. Skin Pharm. Physiol. 23, 183–192 (2010)

    Article  Google Scholar 

  26. Melero A., Hahn T., Schaefer U.F., Schneider M.: In vitro human skin segmentation and drug concentration-skin depth profiles. Methods Mol. Biol. 763, 33–50 (2011)

    Article  Google Scholar 

  27. Naegel, A., Heisig, M., Wittum, G.: Detailed modelling of skin penetration—an overview. Adv. (2012, submitted)

  28. Cooper E.R., Berner B.: Finite dose pharmacokinetics of skin penetration. J. Pharm. Sci. 74, 1100–1102 (1985)

    Article  Google Scholar 

  29. Kubota K., Maibach H.I.: Estimation of the permeability coefficient from a finite-dose, in vitro percutaneous drug permeation study. J. Pharm. Sci. 80, 1001–1002 (1991)

    Article  Google Scholar 

  30. Kubota K., Yamada T.: Finite dose percutaneous drug absorption: theory and its application to in vitro timolol permeation. J. Pharm. Sci. 79, 1015–1019 (1990)

    Article  Google Scholar 

  31. Kubota K., Koyama E., Yasuda K.: A random walk method for percutaneous drug absorption pharmacokinetics: application to repeated administration of a therapeutic timolol patch. J. Pharm. Sci. 80, 752–756 (1991)

    Article  Google Scholar 

  32. Kubota K., Twizell E.H., Maibach H.I.: Drug release from a suspension with a finite dissolution rate: theory and its application to a betamethasone 17-valerate patch. J. Pharm. Sci. 83, 1593–1599 (1994)

    Article  Google Scholar 

  33. Krüse J., Golden D., Wilkinson S., Williams F., Kezic S., Corish J.: Analysis, interpretation, and extrapolation of dermal permeation data using diffusion-based mathematical models. J. Pharm. Sci. 96, 682–703 (2007)

    Article  Google Scholar 

  34. Bunge A.L.: Estimating Dermal Absorption from Finite Volume Exposures. OEESC 2007, Golden CO (2007)

    Google Scholar 

  35. Buist H.E., van Burgsteden J.A., Freidig A.P., Maas W.J.M., van de Sandt J.J.M.: New in vitro dermal absorption database and the prediction of dermal absorption under finite conditions for risk assessment purposes. Regul. Toxicol. Pharmacol. 57, 200–209 (2010)

    Article  Google Scholar 

  36. Davies M., Pendlington R.U., Page L., Roper C.S., Sanders D.J., Bourner C., Pease C.K., MacKay C.: Determining epidermal disposition kinetics for use in an integrated nonanimal approach to skin sensitization risk assessment. Tox. Sci. 119(2), 308–318 (2011)

    Article  Google Scholar 

  37. Elias P.M., Menon G.K., Grayson S., Brown B.E.: Membrane structural alterations in murine stratum corneum: relationship to the localization of polar lipids and phospholipases. J. Invest. Dermatol. 91, 3–10 (1988)

    Article  Google Scholar 

  38. Mueller B., Anissimov Y.G., Roberts M.S.: Unexpected clobetasol propionate profile in human stratum corneum after topical application in vitro. Pharm. Res. 20, 1835–1837 (2003)

    Article  Google Scholar 

  39. Melero A., Garrigues T.M., Alos M., Kostka K.H., Lehr C.M., Schaefer U.F.: Nortriptyline for smoking cessation: release and human skin diffusion from patches. Int. J. Pharm. 378, 101–107 (2009)

    Article  Google Scholar 

  40. Roberts M.S., Cross S.E., Anissimov Y.G.: Factors affecting the formation of a skin reservoir for topically applied solutes. Skin Pharmacol. Physiol. 17, 3–16 (2004)

    Article  Google Scholar 

  41. Richter T., Peuckert C., Sattler M., Koenig K., Riemann I., Hintze U., Wittern K.-P., Wiesendanger R., Wepf R.: Dead but highly dynamic—the stratum corneum is divided into three hydration zones. Skin Pharmacol. Physiol. 17(5), 246–257 (2004)

    Article  Google Scholar 

  42. Chapman S.J., Walsh A., Jackson S.M., Friedmann P.S.: Lipids, proteins and corneocyte adhesion. Arch. Dermatol. Res. 283, 167–173 (1991)

    Article  Google Scholar 

  43. Bonte F., Saunois A., Pinguet P., Meybeck A.: Existence of a lipid gradient in the upper stratum corneum and its possible biological significance. Arch. Dermatol. Res. 289, 78–82 (1997)

    Article  Google Scholar 

  44. Weerheim A., Ponec M.: Determination of stratum corneum lipid profile by tape stripping in combination with high-performance thin-layer chromatography. Arch. Dermatol. Res. 293, 191–199 (2001)

    Article  Google Scholar 

  45. 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. J. Pharm. Sci. 93, 470–487 (2004)

    Article  Google Scholar 

  46. Chaudhuri S.R., Kasting G.B., Krantz W.B.: Percutaneous absorption of volatile solvents following transient liquid exposures: I. Model development. Chem. Eng. Sci. 64(5), 1027–1035 (2009)

    Article  Google Scholar 

  47. Chambin-Remoussenard O., Treffel P., Bechtel Y., Agache P.: Surface recovery and stripping methods to quantify percutaneous absorption of caffeine in humans. J. Pharm. Sci. 11, 1099–1101 (1982)

    Google Scholar 

  48. Potard G., Laugel C., Schaefer H., Marty J.-P.: The stripping technique: in vitro absorption and penetration of five UV filters on excised fresh human skin. Skin Pharmacol. Appl. Skin Physiol. 13, 336–344 (2000)

    Article  Google Scholar 

  49. Potard G., Laugel C., Baillet A., Schaefer H., Marty J.P.: Quantitative HPLC analysis of sunscreens and caffeine during in vitro percutaneous penetration studies. Int. J. Pharm. 189, 249–260 (1999)

    Article  Google Scholar 

  50. Wagner H., Kostka K.H., Lehr C.M., Schaefer U.F.: Interrelation of permeation and penetration parameters obtained from in vitro experiments with human skin and skin equivalents. J. Contr. Rel. 75, 283–295 (2001)

    Article  Google Scholar 

  51. Ben Mustapha R., Lafforgue C., Fenina N., Marty J.P.: Influence of drug concentration on the diffusion parameters of caffeine. Indian J. Pharmacol. 43(2), 157–162 (2011)

    Article  Google Scholar 

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Correspondence to Michael Heisig.

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Arne Naegel, Tsambika Hahn contributed equally to this work.

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Naegel, A., Hahn, T., Schaefer, U.F. et al. Finite dose skin penetration: a comparison of concentration-depth profiles from experiment and simulation. Comput. Visual Sci. 14, 327–339 (2011). https://doi.org/10.1007/s00791-012-0186-8

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  • DOI: https://doi.org/10.1007/s00791-012-0186-8

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