首先是評估波狀表面結構的雙電層的意義。二是把分析物理參數的影響，如波動幅度，波動週期，在起伏的表面上的意義。
利用擾動法和MATLAB分析一般生物細胞的細胞膜，此膠體模型的電位分佈情形。

The first is the assessment of significance of undulated surface on structure of electrical double layer. The second is put on the influence of physical parameters, such as undulation amplitude, undulation period, on significance of undulated surface. 
Use Perturbation method and MATLAB to analysis the common biological cell of colloidal system.

第一章　緒論														
　　1.1 膠體系統  1
　　1.2 膠體的靜電作用力與空間穩定性	 1

第二章　文獻回顧
　　2.1電雙層理論（electrical double layer，EDL） 3
　　2.2 高斯定律（Gauss Low)  3
　　2.3波茲曼分佈（Boltzmann Distribution） 5
　　2.4波松方程式（Poisson Equation） 6
　　2.5波松-波茲曼方程式（Poisson-Boltzmann Equation） 6
　　2.6 Debye-Hückel理論  7


第三章　介紹  8

第四章　理論   9

第五章　結果與討論	  21

　　Notation   22
　　Literature Cited  24


圖目錄


圖１ Schematic representation of structure of a typical biological cell membrane.  25

圖２ Schematic representation of charged layer with both undulated surfaces.In this figure, Hmclt=1,Hu=0.2, and Lux=1. 25

圖３ Hmclt=1 ，Hu=0.2，Lux=1　下，電位分佈情形  26

圖４(ａ) 圖３下，取Z=-(Hmclt/2)+Hu，Z=0，Z=(Hmclt/2)-Hu，Z=(Hmclt/2)+Hu和Z=-(Hmclt/2)-Hu處的X-Y截面情形  26

圖４(ｂ) 圖３下，取X=Lux/2，X=Lux/4 和X=0處的Y-Z截平面情形  27

圖５ Hmclt=1 ，Hu=0.1，Lux=1　下，電位分佈情形  28

圖６(ａ) 圖５下，取Z=-(Hmclt/2)+Hu，Z=0，Z=(Hmclt/2)-Hu，Z=(Hmclt/2)+Hu和Z=-(Hmclt/2)-Hu處的X-Y截面情形  28

圖６(ｂ) 圖５下，取X=Lux/2，X=Lux/4 和X=0處的Y-Z截平面情形  29

圖７ Hmclt=1 ，Hu=0.2，Lux=2　下，電位分佈情形  30

圖８(ａ) 圖７下，取Z=-(Hmclt/2)+Hu，Z=0，Z=(Hmclt/2)-Hu，Z=(Hmclt/2)+Hu和Z=-(Hmclt/2)-Hu處的X-Y截面情形  30

圖８(ｂ) 圖７下，取X= ，X=  和X=0處的Y-Z截平面情形  31

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