Y. Fujitani et D. Bedeaux, A MOLECULAR THEORY FOR NONOHMICITY OF THE ION LEAK ACROSS THE LIPID-BILAYER MEMBRANE, Biophysical journal, 73(4), 1997, pp. 1805-1814
The current-voltage relationship of ion leak (i.e., ion transport invo
lving neither special channels nor carriers) across the lipid-bilayer
membrane has been observed to be log-linear above the ohmic regime. Th
e coefficient of the linear term has been found to be universal for me
mbranes and penetrants examined. This universality has been explained
in terms of diffusion in an external field, where the ion position is
described as a Markovian process. Such a diffusion picture can be ques
tioned, however. It is also probable that a leaking ion gets over the
potential barrier before experiencing sufficient random collision in t
he membrane, considering that each ion is surrounded with long lipid m
olecules aligned almost unidirectionally. As an alternative, we discus
s this ion leak in terms of velocity distribution of the ions entering
the membrane and density fluctuation of the lipids. We conclude that
we can explain the universality without resorting to the diffusion pic
ture.