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。
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.
作者
张玉
张琳
刘欣
郭飞
ZHANG Yu;ZHANG Lin;LIU Xin;GUO Fei(Department of Gynecology and Obstetrics,Chongqing Traditional Chinese Medicine Hospital,Chongqing 400021,China;Chongqing Key Laboratory of Complex Systems and Bionic Control,Chongqing University of Posts and Telecommunications,Chongqing 400065,China)
出处
《高电压技术》
EI
CAS
CSCD
北大核心
2018年第10期3307-3313,共7页
High Voltage Engineering
基金
国家自然科学基金(51507024)
重庆邮电大学自然科学基金(A2015–67)~~
关键词
电穿孔效应
五层介电模型
阶跃模型
电穿孔方程
时空分布规律
electroporation
five-layer dielectric model
step model
EP equation
spatial and temporal distribution
