In this work, the electroporation phenomenon induced by pulsed electric field on different nucleated biological cells is studied. A nonlinear, non-local, dispersive, and space-time multiphysics model based on Maxwell's and asymptotic Smoluchowski's equations has been developed to calculate the transmembrane voltage and pore density on both plasma and nuclear membrane perimeters. The irregular cell shape has been modeled by incorporating in the numerical algorithm the analytical functions pertaining to Gielis curves. The dielectric dispersion of the cell media has been modeled considering the multi-relaxation Debye-based relationship. Two different irregular nucleated cells have been investigated and their response has been studied applying both the dispersive and non-dispersive models. By a comparison of the obtained results, differences can be highlighted confirming the need to make use of the dispersive model to effectively investigate the cell response in terms of transmembrane voltages, pore densities, and electroporation opening angle, especially when irregular cell shapes and short electric pulses are considered. Bioelectromagnetics. 2019;40:331-342. © 2019 Wiley Periodicals, Inc.

中文翻译：

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不规则有核细胞的电穿孔非线性分散模型。

在这项工作中，研究了由脉冲电场在不同的有核生物细胞上引起的电穿孔现象。已经开发了基于麦克斯韦方程和渐进式Smoluchowski方程的非线性，非局部，色散和时空的多物理场模型，以计算等离子体和核膜周长上的跨膜电压和孔密度。通过将与Gielis曲线有关的分析函数合并到数值算法中，对不规则单元格形状进行了建模。考虑到基于多松弛基于德拜的关系，已对单元介质的介电色散进行了建模。已经研究了两种不同的不规则有核细胞，并使用分散模型和非分散模型研究了它们的响应。通过比较获得的结果，可以突出显示差异，从而确认需要使用分散模型来有效研究跨膜电压，孔密度和电穿孔打开角度方面的细胞反应，尤其是在考虑不规则细胞形状和短电脉冲的情况下。生物电磁学。2019; 40：331-342。©2019 Wiley Periodicals，Inc.