离体培养成骨细胞的有限元分析

The finite element analysis on electromechanical behaviors in bone tissues

将成骨细胞看作是一种均匀、各向同性、不可压缩的粘弹性体,利用标准的线性粘弹性固体模型推导了成骨细胞的应力应变关系的矩阵形式,再利用Lagrange方程推导得出了系统的动力学有限元平衡方程。通过算例,计算得到多孔介质基板上骨细胞的位移、速度和应力强度历程。通过自编程序对单向拉伸离体培养成骨细胞装置进行了数值分析和模拟,计算了细胞体的变形、速度以及应力等,为进一步进行骨组织工程研究提供了理论基础。

Osteoblast is looked as a homogeneous isotropic and viscoelastic body which can＇t be compressed.Using the standard linear model of viscoelasticity,the matrix form of the relationship between stress and strain can be achieved,so the finite element balance equation can be got through Lagrange equation.An example for bone tissues on porous media board under loading is calculated,the history of displacement,velocity and stress are obtained.Then the osteoblast cultured invitro can be numerically analyzed by computer program,and the deformation,the velocity and the stress of osteoblast can be calculated.