细胞悬液中细胞跨膜电位计算模型

Analytical model for transmembrane potential induced on a cell membrane in suspensions

由于建立外加电场中悬液细胞跨膜电位计算模型非常困难 ,本文用近似场等效方法解决了该建模难题 .首先用Maxwell等效原理 ,计算处于外加场中细胞悬液的平均场 .然后确定悬液中一个细胞局部的实际场分布和独立处于外加场中单细胞场分布近似等效的条件 ,再基于单细胞膜电位求解方法 ,建立反映均匀排列悬液细胞跨膜电位变化的计算模型 .模型表明了细胞膜电位的变化和外加场、细胞种类、细胞浓度以及细胞排列方式的关系 ,揭示了悬液细胞相对单细胞跨膜电位下降的物理过程 .最后用该模型计算了悬液中细胞跨膜电位并和数值解进行比较 ,结果基本符合 .

Since the analytical model for TMP (transmembrane potential) on suspension cells exposed to external electric field is too complex to obtain, an approximate equivalence method is proposed to resolve this problem. First, the average field inside the cell suspensions is calculated according to the Maxwell equivalence principle. Then the condition, under which the local electric field of unit cell in suspensions is approximately similar to that of a single cell exposed to external field, is investigated. Based on the analytical solution of single cell, an analytical model for the TMP on the suspension cells is built. The model shows that the TMP depends on parameters such as the external field, the cell arrangement and the cell volume fraction. Finally, the TMP on a suspension cell is calculated using the proposed analytical model and the results are compared with those from numerical calculation using finite element method. It is shown that the analytical results are in agreement with the numerical results.