Hu Q, Joshi R P
Department of Engineering and Technology, Central Michigan University, Mt Pleasant, Michigan 48859, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Jan;79(1 Pt 1):011901. doi: 10.1103/PhysRevE.79.011901. Epub 2009 Jan 7.
Self-consistent evaluations of both the transmembrane potential (TMP) and possible electroporation density across membrane of spheroidal cells in response to ultrashort, high-intensity pulses are reported and discussed. Most treatments in the literature have been based on spherical cells, and this represents a step towards more realistic analyses. The present study couples the Laplace equation with Smoluchowski theory of pore formation, to yield dynamic membrane conductivities that influence the TMP. It is shown that the TMP induced by pulsed external voltages can be substantial higher in oblate spheroids as compared to spherical or prolate spheroidal cells. Flattening of the surface area in oblate spheroids leads to both higher electric fields seen by the membrane, and allows a great fraction of the surface area to be porated. This suggests that biomedical applications such as drug delivery and electrochemotherapy could work best for flatter-shaped cells, and secondary field-enabled orienting would be beneficial. Results for arbitrary field orientations and different cell sizes have also been presented.
报告并讨论了对超短高强度脉冲响应的球形细胞跨膜电位（TMP）和跨膜可能的电穿孔密度的自洽评估。文献中的大多数处理都是基于球形细胞，这是朝着更实际分析迈出的一步。本研究将拉普拉斯方程与孔形成的斯莫卢霍夫斯基理论相结合，以产生影响TMP的动态膜电导率。结果表明，与球形或长球形细胞相比，扁球形细胞中由脉冲外部电压诱导的TMP可能会显著更高。扁球形细胞表面积的扁平化导致膜所看到的电场更高，并且允许很大一部分表面积被穿孔。这表明生物医学应用，如药物递送和电化学疗法，对于形状更扁平的细胞可能效果最佳，并且二次场驱动的定向将是有益的。还给出了任意场取向和不同细胞大小的结果。
