Transport lattice approach to describing cell electroporation: use of a
local asymptotic model
Stewart DA, Jr., Gowrishankar TR, Weaver JC
IEEE Transactions on Plasma Science
32 (4): 1696-1708 Aug 2004
Electroporation has been widely used to manipulate cells and tissues,
but quantitative understanding of electrical behavior in cell
membranes has not been achieved. According to the transient
aqueous pore hypothesis, pore creation and expansion is a nonlinear,
hysteretic process. Different membrane sites respond locally to their
own transmembrane voltage history, so that a self-consistent
description should invovle the interaction of many different regions
of a cell membrane model and its aqueous electrolytes. A transport
lattice system model of a cell shows active and passive interaction
models for local transport and storage of charge to be combined,
yielding approximate solutions for this highly interacting system.
Here, we use an asymptotic model for local membrane electroporation,
which involves solving an ordinary differential equation for each
local membrane area of the system model, subject to constraints
imposed by self-consistency throught the system model of the cell.
To illustrate this approach, we first treat a model for a space-
and voltage-clamped skeletal muscle cell. We then create an analyze
models of a circular cell and of a budding yeast pair, both of
which exhibit electroporation when exposed to pulsed electric fields.