血红细胞在渗透实验中的变形分析

目的数值模拟血红细胞在渗透实验中的变形具体全过程并寻找渗透压临界值。方法建立细胞的壳体模型,采用Neo-Hookean应变能形式的超弹性本构关系,采用文献提供的细胞膜剪切模量实测数据,使用有限元软件ABAQUS进行计算。结果得到了在血红细胞渗透实验中细胞膜受渗透压作用而逐渐变形的全过程,发现当渗透压增加到50～60 mPa时,细胞膜由双凹形迅速变成椭球形。该渗透压临界值落在文献给出的计算结果范围内。同时得到了在该临界值两侧细胞膜的Mises应力分布图。结论血红细胞由双凹形变成椭球形的临界渗透压为50～60 mPa。采用壳体模型以及Neo-Hookean形式的超弹性材料本构关系进行血红细胞渗透实验的数值模拟,可以较好地展示血红细胞在渗透实验中的变形全过程。

Deformation analysis of red blood cells in osmosis experiment

Objective To numerically simulate the specific deformation and calculate the critical pressure of red blood cells in the osmosis experiment. MethodsThe shell model of red blood cells was established. Based on the constitutive hyperelastic model of the form Neo-hookean strain-energy potential and the experimental data for shear modulus of cell membrane provided by references, the red blood cell osmosis model was calculated in finite element software ABAQUS. Results The whole phases of red blood cell deformation when subjected to osmotic pressure were obtained. It was found that cell membrane rapidly changed from biconcave shape to oval shape when osmotic pressure was increased to 50-60 mPa, with the value of critical pressure falling in the scope provided by references. Meanwhile, the Mises stress distributions of cell membrane in different phases were also obtained. Conclusions The critical pressure for red blood cells changing from biconcave shape to oval shape is 50-60 mPa. The shell model and the constitutive hyperelastic model of the form Neo-hookean strain-energy potential can be used in the simulation of the osmosis experiment to provide a clear and reasonable phase of red blood cell deformation.