The current-voltage relation for electropores with conductivity gradients.

Biomicrofluidics
Jianbo Li, Hao Lin

Abstract

In electroporation, an electric field transiently permeabilizes the cell membrane to gain access to the cytoplasm, and to deliver active agents such as DNA, proteins, and drug molecules. Past work suggests that the permeabilization is caused by the formation of aqueous, conducting pores on the lipid membrane, which are also known as electropores. The current-voltage relation across the membrane-bound pores is critical for understanding and predicting electroporation. In this work, we solve the Nernst-Planck equations in a geometry encompassing an isolated electropore to investigate this relation. In particular, we study cases where the intra- and extracellular electrical conductivities differ. We first derive an analytical solution, which is subsequently validated with a direct numerical simulation using a finite volume method. The main result of the current work is a formula for the effective pore resistance as a function of the pore radius, the membrane thickness, and the intra- and extracellular conductivities. This formula can be incorporated into whole-cell or planar-membrane electroporation models for system-level prediction and understanding.

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Citations

May 31, 2011·Bioelectrochemistry·Jianbo Li, Hao Lin
Nov 6, 2014·IEEE Transactions on Biomedical Circuits and Systems·William HoilesBruce Cornell
Feb 25, 2014·Biophysical Journal·Mohamed M SadikHao Lin
Sep 8, 2012·Biochimica Et Biophysica Acta·Jianbo LiHao Lin
Jun 5, 2012·Biochimica Et Biophysica Acta·Miao YuHao Lin
Mar 27, 2015·Mathematical Biosciences and Engineering : MBE·Michael Leguebe
Nov 30, 2013·Scientific Reports·Lea RemsGorazd Pucihar
Apr 23, 2017·Biochimica Et Biophysica Acta. Biomembranes·Caterina MerlaP Thomas Vernier
Sep 21, 2018·Technology in Cancer Research & Treatment·Daniel C SweeneyRafael V Davalos
Feb 21, 2019·Annual Review of Biophysics·Tadej KotnikDamijan Miklavčič
May 1, 2017·The Journal of Membrane Biology·Masoumeh MahboubiVahid Hoshyargar
Nov 18, 2017·Bioelectrochemistry·Jeffrey L MoranCullen R Buie

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Methods Mentioned

BETA
electrophoresis

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