球形细胞膜上电场应力的计算-《中国医学物理学杂志》

文章信息/Info

Author(s):: WU Ruiqing1; ZHANG Hui1; 2; 1. School of Science, Xi’an Technological University, Xi’an 710021, China; 2. School of Physics and Electronic Engineering, Xianyang Normal University, Xianyang 712000, China

Keywords:: Keywords: electrostatic field; spherical cell; electric field stress; biological effect

摘要:: 目的：研究静电场作用球形细胞后细胞膜上电场应力的大小及分布。方法：求解满足边值关系的拉普拉斯方程得到外电场作用后细胞膜内外电势的重新分布，并在此基础上用麦克斯韦应力张量法分析电场应力大小及分布。结果：电场应力与外加电场强度的平方成正比，与细胞等效介电常数成正相关。103 V/m量级的静电场可以在细胞膜上产生10-4 Pa的应力。在平行外电场方向电场应力指向膜外表现为拉力，垂直外电场方向电场应力指向膜内表现为压力。结论：球形细胞膜上电场应力呈余弦曲线分布可以解释电场引发细胞形变现象。【关键词】静电场；球形细胞；电场应力；生物学效应

Abstract:: Abstract: Objective To study the magnitude and distribution of the electric field stress on the cell membrane after the action of electrostatic field on spherical cells. Methods The potential redistributions inside and outside cell membrane after the action of external electric field were obtained by solving the Laplace equation satisfying the boundary relation. Furthermore, the magnitude and distribution of the electric field stress were analyzed by a Maxwell stress tensor method. Results The electric field stress was proportional to the square of the applied external electric field strength and positively correlated with the cell equivalent dielectric constant. An electrostatic field on the order of 103 V/m resulted in a stress of 10-4 Pa on the cell membrane. The electric field stress parallel to external electric field direction was directed to the outside of the cell membrane as a tensile force, while the electric field stress perpendicular to external electric field direction was directed to the inside of the cell membrane as a pressure. Conclusion The electric field stress on the spherical cell membrane is displayed as the cosine curve distribution, which can explain the cell deformation induced by the electric field.