Finite Element Method on the Numerical Simulation of the Stratum Corneum’s Penetration Property

LIU Yu-hong; QIAO Ai-ke; Dirk Feuchter; Gabriel Wittum; ZENG Yan-jun

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Article Navigation > Applied Mathematics and Mechanics > 2006 > 27(4): 417-423

LIU Yu-hong, QIAO Ai-ke, Dirk Feuchter, Gabriel Wittum, ZENG Yan-jun. Finite Element Method on the Numerical Simulation of the Stratum Corneum’s Penetration Property[J]. Applied Mathematics and Mechanics, 2006, 27(4): 417-423.

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Finite Element Method on the Numerical Simulation of the Stratum Corneum’s Penetration Property

1.
Biomechanics and Medical Information Institute, Beijing University of Technology, Beijing 100022, P. R. China;

Received Date: 2004-06-29
Rev Recd Date: 2005-12-18
Publish Date: 2006-04-15

Abstract

Abstract

How could the outer substance 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 proplem 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.
- stratum corneum,
- tetrakaidecahedron,
- discretization,
- finite element method,
- multi-grid method

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References(10)

References

[1]	Fuchs A.Optimierte Delaunay-Triangulierungen zur Vernetzung getrimmter NURBS-Koerper[M].Berichte aus der Mathematik, Dissertation, Universitaet Stuttgart,Aachen:Shaker-Verlag,1999,200—230.
[2]	Heisig M,Lieckfeldt R, Wittum G,et al.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. doi: 10.1023/A:1016048710880
[3]	Feuchter D,Stemmermann U,Wittum G.Description and generation of geometries and grids for layered domains[A].In:Proceedings of the 17th GAMM-Seminar[C].Leipzig,Germany,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. doi: 10.1007/BF00679785
[5]	Grossmann C H,Roos H G.Numerik Partieller Differentialgleichungen[M].Stuttgart:Stuttgart Teubner,1994,234—290.
[6]	Kelvin's Conjecture, Math world[EB/OL].
[7]	Houlding S.3D Geoscience Modelling, Computer Techniques for Geological Characterization[M].New York:Springer-Verlag,1994,180—210.
[8]	Abramowitz M, Stegun I.Handbook of Mathematical Functions[M].New York:Dover Publications,1972,77—80.
[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].
[10]	Bastian P,Birken K,Johannsen K,et al.Parallel software-platform for solving probelms of partial differential equations[A].In:Krause E,Jaeger W Eds.High Performance Computing in Science and Engineering[C].Heidelberg: Springer-Verlag,1999,326—339.