The spatially distributed, dynamic transmembrane
voltage of cells and organelles due to 10~ns pulses: meshed transport networks
Kyle C. Smith, T. R. Gowrishankar, Axel T. Esser, Donald A. Stewart and James C. Weaver
IEEE Trans Plasma Sci, 34(4):1394-1404, 2006
We describe two versions of a 2D cell model that contain three
representing the plasma membrane (PM) and single-bilayer approximations to
both the nuclear envelope and the mitochondrial membrane.
The first version uses a Cartesian transport network, which respects
topology but approximates geometry.
The second version uses a meshed transport network, which respects both.
The asymptotic electroporation model is assigned to all local membrane sites
in order to assess the electrical response of the membranes. The predictions
of these two models are presented for
10 ns trapezoidal pulses with 1.5 ns rise and fall times. The applied
field magnitudes range from
1 to 100 kV/cm, corresponding to recent experiments.
The spatially-distributed electroporation models exhibit
supra-electroporation for the larger pulses, with a maximum
transmembrane voltage of
Um ~ 1.5 V for both the PM and organelle membranes.
For the larger fields the PM and organelle membranes electroporate essentially
The meshed version of the transport network
eliminates numerical artifacts and is more computationally efficient.