A nonlinear dispersive multiphysics model of single-cell electroporation was proposed in this paper. The time-domain Debye model was utilised to describe the membrane dispersion while the dynamic pore radius function was deployed to modify the plasma membrane conductivity. The dynamic spatial distributions of the ion concentration were dominated by the Nernst-Planck function. First, a single nanosecond pulsed electric field was applied to verify our model and to explore the effects of dispersion and dynamic pore radius on the redistribution of the electric field. The dispersive membrane was found to increase the transmembrane potential, expedite the electroporation process, and weaken the membrane permeability; however, adding the dynamic pore radius function had the opposite effect on transmembrane potential and membrane permeability. The responses of the cells exposed to unipolar and bipolar nanosecond pulse sequences were subsequently simulated. During the application of unipolar pulse sequences, the pore radius and perforation area showed a step-like accumulation, and significant increases in the perforation area and intracellular ion concentration were observed with higher frequency pulse sequences and wider subpulse intervals. The bipolar cancellation effect was also observed in terms of membrane permeability and pore radius.

本文提出了单细胞电穿孔的非线性色散多物理场模型。时域德拜模型用于描述膜分散，而动态孔半径函数用于修改质膜电导率。离子浓度的动态空间分布由 Nernst-Planck 函数支配。首先，应用单个纳秒脉冲电场来验证我们的模型并探索分散和动态孔隙半径对电场重新分布的影响。发现分散膜增加了跨膜电位，加快了电穿孔过程，并削弱了膜的渗透性；然而，添加动态孔隙半径函数对跨膜电位和膜通透性有相反的影响。随后模拟了暴露于单极和双极纳秒脉冲序列的细胞的响应。应用单极脉冲序列时，孔隙半径和穿孔面积呈阶梯状堆积，随着脉冲序列频率的增加和亚脉冲间隔的扩大，穿孔面积和细胞内离子浓度显着增加。在膜渗透性和孔半径方面也观察到双极抵消效应。并且在更高频率的脉冲序列和更宽的亚脉冲间隔下观察到穿孔面积和细胞内离子浓度的显着增加。在膜渗透性和孔半径方面也观察到双极抵消效应。并且在更高频率的脉冲序列和更宽的亚脉冲间隔下观察到穿孔面积和细胞内离子浓度的显着增加。在膜渗透性和孔半径方面也观察到双极抵消效应。