为了研究高频纳秒脉冲电场(ns PEFs)杀伤肿瘤细胞的机理,结合笛卡尔传输网格(CTL)和动态电穿孔等效电路模型对1个典型的2维多细胞系统在ns PEFs作用下的穿孔特性进行了仿真。利用Pspice仿真软件建立了该多细胞系统电路模型,并分析了其穿孔数量和穿孔半径变化特性。首先施加了10个场强、频率和脉宽分别为5k V/cm、1 MHz和500 ns的高频纳秒脉冲到该多细胞系统模型,结果表明随脉冲个数增加穿孔区域分布变化不大,而穿孔半径分布有明显的累积效应,细胞外膜和细胞核膜上部分孔的半径逐渐增大。同时比较了电场强度为3、5和10 k V/cm时该系统中穿孔数量和最大孔径随脉冲个数增加的变化情况。结果显示场强增加时穿孔数量明显增加,特别是场强从3 k V/cm提高到10 k V/cm时,系统整个细胞核膜从未穿孔到穿孔数量增加到2.658 4×105个。另外,穿孔半径仍然存在累积效应。仿真结果说明适当参数的高频ns PEFs能使细胞核膜发生穿孔,并起到扩大细胞部分穿孔半径的作用,可为后续实验研究选择高频纳秒脉冲参数提供依据。
In order to study the destruction mechanism of tumor ceils exposed to high-frequency nanosecond pulsed electric fields (nsPEFs), we simulated a typical two-dimensional multicellular system based on the Cartesian transport lattice (CTL) combined with the dynamic electroporation model. The multicellular system model established by Psipice software was used to evaluate the varying characteristics of pore number and pore radius. First, ten high-frequency nanosecond pulses with field strength 5 kV/cm, frequency 1 MHz and duration 500 ns were applied to the multicellular system model. The results show that with multiple pulsing, the electroporated sites distribution remains unchanged, but there is a significant accumulation effect of pore radii distribution that the radii of some pores in the plasma membrane and the nuclear membrane increase gradually. Then the changes of total number of pores and maximum pore radii in the system as a function of pulse number under field strengths of 3 kV/cm, 5 kV/cm and 10 kV/cm were compared. The results show that the number of pores is more at a higher field strength, and especially, the total pore number in the nuclear membrane increases from zero to 2.658 4×10^5 when the field strength is increased from 3 kV/cm to 10 kV/cm. Besides, there is still a cumulative effect of pore size. The simulation results indicate that high-frequency nsPEFs with appropriate parameters can cause cell nuclear membrane electroporation and serve to expand the radii of some pores. It can provide the basis for the selection of parameters of high-frequency nanosecond pulses in the subsequent experimental studies.