Simulation of Electroporation Process of Spherical Cell with Nanosecond Pulsed Electric Fields

ZHANG Yu; ZHANG Lin; LIU Xin; GUO Fei

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Simulation of Electroporation Process of Spherical Cell with Nanosecond Pulsed Electric Fields

更新时间：2025-12-08

- Simulation of Electroporation Process of Spherical Cell with Nanosecond Pulsed Electric Fields
- Vol. 44, Issue 10, Pages: 3307-3313(2018)
- 作者机构：
  
  1. 重庆市中医院妇产科
  2. 重庆邮电大学复杂系统与仿生控制重庆市重点实验室
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published Online：31 October 2018，
  
  Published：2018
- 稿件说明：
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ZHANG Yu, ZHANG Lin, LIU Xin, et al. Simulation of Electroporation Process of Spherical Cell with Nanosecond Pulsed Electric Fields[J]. 2018, 44(10): 3307-3313.
DOI：

ZHANG Yu, ZHANG Lin, LIU Xin, et al. Simulation of Electroporation Process of Spherical Cell with Nanosecond Pulsed Electric Fields[J]. 2018, 44(10): 3307-3313. DOI：

摘要

电穿孔过程中各参数的精确计算是制定电穿孔（EP）治疗计划的关键所在。基于球形细胞五层介电模型

引入介电参数阶跃模型和Smoluchowski电穿孔方程来表征细胞膜的电穿孔效应

定量计算了100ns、45k V/cm纳秒脉冲作用下细胞电穿孔过程中各参量的时空分布规律。结果表明:与单独Smoluchowski电穿孔方程仿真结果相比

引入细胞膜介电常数阶跃模型后

阳极处介电常数在35～120ns跃变为初始值的2倍

使得阳极处电导率变化滞后10 ns

跨膜电位（TMP）变化滞后30 ns;50 ns时阳极附近微孔密度由1012 m-2下降为109 m-2;电穿孔过程中

细胞膜微孔密度在距离阳极4～10μm区域始终维持在初始值

细胞膜跨膜电位在4～5μm出现小于电穿孔阈值的极小值。因此

考虑细胞膜介电常数的影响后

细胞电穿孔的发生和发展过程在时间上出现延迟

且细胞膜上发生电穿孔的区域明显缩小。

Abstract

Refined calculation of parameters during electroporation（EP） plays a key role in the treatment planning of EP. Based on five-layer dielectric model of a spherical cell

in consideration of step model of dielectric parameters and Smoluchowski EP equation

we investigated spatial and temporal distribution of EP parameters under the conditions of nanosecond pulsed electric field of 100 ns and 45 kV/cm. The results show that

compared to the simulation results of step model and EP equation with single EP equation

the permittivity near anode reaches twice of its initial value

changes in conductivity near anode will delay for 10 ns

and the transmembrane potential（TMP） will delay for 30 ns; the pore density near anode will decrease from 1012 m-2 to 109 m-2 at 50 ns; the pore density of plasma membrane 4～10 μm from anode will remain an initial value and local minimum value in TMP occurred 4～5 μm from anode. Therefore

the appearance and development of EP will delay in time

and the EP area along plasma membrane will significantly reduce in consideration of permittivity.

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