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Theoretical evidence of maximum intracellular currents versus frequency in an Escherichia coli cell submitted to AC voltage
Author(s) -
Xavier Pascal,
Rauly Dominique,
Chamberod Eric,
Martins Jean M.F.
Publication year - 2017
Publication title -
bioelectromagnetics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.435
H-Index - 81
eISSN - 1521-186X
pISSN - 0197-8462
DOI - 10.1002/bem.22033
Subject(s) - bioelectromagnetics , equipotential , multiphysics , voltage , capacitance , transconductance , equivalent circuit , electrical conductor , mechanics , materials science , physics , finite element method , composite material , electrode , transistor , quantum mechanics , magnetic field , thermodynamics
In this work, the problem of intracellular currents in longilinear bacteria, such as Escherichia coli , suspended in a physiological medium and submitted to a harmonic voltage (AC), is analyzed using the Finite‐Element‐based software COMSOL Multiphysics. Bacterium was modeled as a cylindrical capsule, ended by semi‐spheres and surrounded by a dielectric cell wall. An equivalent single‐layer cell wall was defined, starting from the well‐recognized three‐shell modeling approach. The bacterium was considered immersed in a physiological medium, which was also taken into account in the modeling. A new complex transconductance was thus introduced, relating the complex ratio between current inside the bacterium and voltage applied between two parallel equipotential planes, separated by a realistic distance. When voltage was applied longitudinally relative to the bacterium main axis, numerical results in terms of frequency response in the 1–20 MHz range for E. coli cells revealed that transconductance magnitude exhibited a maximum at a frequency depending on the cell wall capacitance. This occurred in spite of the purely passive character of the model and could be explained by an equivalent electrical network giving very similar results and showing special conditions for lateral paths of the currents through the cell wall. It is shown that the main contribution to this behavior is due to the conductive part of the current. Bioelectromagnetics. 38:213–219, 2017. © 2016 Wiley Periodicals, Inc.