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角质层渗透性质的有限元数值模拟计算 被引量:1

Finite Element Method on the Numerical Simulation of the Stratum Corneum's Penetration Property
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摘要 角质层是皮肤屏障作用的最主要部分,它决定了外界物质对皮肤的渗透情况.在假设角质层细胞为一种三维的十四面体(物理学经典的tetrakaidecahedron体)的情况下,利用有限元法对角质层渗透性质进行了数值模拟研究.为此,首先完成了对角质层空间结构的网格拆分,拆分过程分两步进行:1.对角蛋白细胞的网格拆分;2.对角蛋白细胞周围的网状脂质体的网格拆分.在数值模拟过程中,则用有限元法得到方程离散的格式,用多重网格算法降低高频误差,提高计算精度.最后,给出了数值模拟结果的可视化效果图. How could the outer substance penetrate through the skin lies in the stratum comeum, 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 comeum was the key proplem which was numerically simulated with finite element method. At first the discretization of the stratum comeum 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.
出处 《应用数学和力学》 CSCD 北大核心 2006年第4期417-423,共7页 Applied Mathematics and Mechanics
关键词 角质层 tetrakaidecahedron 网格拆分 有限元法 多重网格算法 stratum comeum tetrakaidecahedron discretization finite element method multi-grid method
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