Cheng L Y
J Biomech Eng. 1987 Feb;109(1):10-7. doi: 10.1115/1.3138634.
This study presents a computational approach for the deformation analyses of problems in cell and developmental biology. Cells and embryos are viewed mechanically as axisymmetric shell-like bodies containing a body of incompressible material. The analysis approach is based on the finite element method. It is comprised of three finite element ingredients: an axisymmetric shell/membrane element valid for modeling finite bending, shearing and stretching; a volume constraint algorithm for modeling the membrane-bound incompressible material; and a contact algorithm for modeling the mechanical interactions between deformable bodies. Part II of this study will demonstrate how these three ingredients can be applied to analyze mechanical experiments on cells. This same method is also useful for simulating embryonic shape changes during development.
本研究提出了一种用于细胞与发育生物学问题变形分析的计算方法。细胞和胚胎在力学上被视为包含不可压缩物质体的轴对称壳状体。该分析方法基于有限元法。它由三个有限元要素组成：一个轴对称壳/膜单元，可用于模拟有限的弯曲、剪切和拉伸；一个用于模拟膜结合不可压缩物质的体积约束算法；以及一个用于模拟可变形体之间力学相互作用的接触算法。本研究的第二部分将展示如何应用这三个要素来分析细胞力学实验。同样的方法对于模拟发育过程中胚胎形状的变化也很有用。
