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Finite element method on numerical simulation of stratum corneum’s penetration property

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Abstract

How the outer substance could penetrate through the skin lies in the stratum corneum, because it is the main barrier in the multi-layers of the skin. Supposing the keratin cell with a special geometry as tetrakaidecahedron, the penetration property of stratum corneum was the key problem which was numerically simulated with finite element method. At first the discretization of the stratum corneum region was given in two steps: first, the discretization of the keratin cell; second, the discretization of fattiness that surrounds the keratin. Then there was the work of numerical simulation. In this procedure, the finite element method and the multi-grid method were used. The former was to obtain the discretization of basic elements; the latter was to decrease the high frequency error. At last the visualization of the numerical simulation was shown.

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References

  1. Fuchs A. Optimierte Delaunay-Triangulierungen zur Vernetzung Getrimmter NURBS-Koerper[D]. Dissertation. Berichte aus der Mathematik, Universitaet Stuttgart, Shaker-Verlag, Aachen, 1999, 200–230.

    Google Scholar 

  2. Heisig M, Lieckfeldt R, Wittum G, Mazurkevich G, Lee G. Non steady-state descriptions of drugs permeation through stratum corneum—I the biphasic brick-and-mortar model[J]. Pharmaceutical Research, 1996, 13(3):421–426.

    Article  Google Scholar 

  3. Feuchter D, Stemmermann U, Wittum G. Description and generation of geometries and grids for layered domains[C]. In: Proceedings of the 17th GAMM-Seminar. Leipzig, 2001, 1–26.

  4. Bannon Y B, Corish J, Corrigan O L, et al. Transdermal delivery of nicotine in human volunteers[J]. Eu J Clin Pharmacol, 1989, 37(4):285–290.

    Google Scholar 

  5. Grossmann C H, Roos H G. Numerik Partieller Differentialgleichungen[M]. Stuttgart Teubner, Stuttgart, 1994, 234–290.

    Google Scholar 

  6. Kelvin’s Conjecture, Math world[EB/OL]. http://www.math.com. 2003-09-15.

  7. Houlding S. 3D Geoscience Modeling, Computer Techniques for Géological Characterization[M]. Springer-Verlag, New York, 1994, 180–210.

    Google Scholar 

  8. Abramowitz M, Stegun I. Handbook of Mathematical Functions[M]. Dover Publications, New York, 1972, 77–80.

    Google Scholar 

  9. Arc View Information & Seagate Crystal Reports 6.0 for ESRI User’s Guide, ESRI, 380 New York Street, Redlands, CA 92373-8100, USA[EB/OL] http://www.esri.com.

  10. Bastian P, Birken K, Johannsen K, et al. Parallel software-platform for solving problems of partial differential equations[C]. In: Krause E, Jaeger W (eds). High Performance Computing in Science and Engineering. Springer Verlag, Heidelberg, 1999, 326–339.

    Google Scholar 

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Correspondence to Zeng Yan-jun  (曾衍钧).

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Communicated by MA Xing-rui

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Liu, Yh., Qiao, Ak., Feuchter, D. et al. Finite element method on numerical simulation of stratum corneum’s penetration property. Appl Math Mech 27, 469–475 (2006). https://doi.org/10.1007/s10483-006-0406-y

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  • DOI: https://doi.org/10.1007/s10483-006-0406-y

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Chinese Library Classification

2000 Mathematics Subject Classification

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