Tx. Xiang et Bd. Anderson, PERMEABILITY OF ACETIC-ACID ACROSS GEL AND LIQUID-CRYSTALLINE LIPID BILAYERS CONFORMS TO FREE-SURFACE-AREA THEORY, Biophysical journal, 72(1), 1997, pp. 223-237
Solubility-diffusion theory, which treats the lipid bilayer membrane a
s a bulk lipid solvent into which permeants must partition and diffuse
across, fails to account for the effects of lipid bilayer chain order
on the permeability coefficient of any given permeant. This study add
resses the scaling factor that must be applied to predictions from sol
ubility-diffusion theory to correct for chain ordering. The effects of
bilayer chemical composition, temperature, and phase structure on the
permeability coefficient (P-m) of acetic acid were investigated in la
rge unilamellar vesicles by a combined method of NMR line broadening a
nd dynamic light scattering. Permeability values were obtained in dist
earoylphosphatidylcholine, dipalmitoylphosphatidylcholine, dimyristoyl
phosphatidylcholine, and dilauroylphosphatidylcholine bilayers, and th
eir mixtures with cholesterol, at various temperatures both above and
below the gel-->liquid-crystalline phase transition temperatures (T-m)
. A new scaling factor, the permeability decrement f, is introduced to
account for the decrease in permeability coefficient from that predic
ted by solubility-diffusion theory owing to chain ordering in lipid bi
layers. Values of f were obtained by division of the observed P-m by t
he permeability coefficient predicted from a bulk solubility-diffusion
model. In liquid-crystalline phases, a strong correlation (r=0.94) be
tween f and the normalized surface density sigma was obtained: In f=5.
3-10.6 sigma. Activation energies (E(a)) for the permeability of aceti
c acid decreased with decreasing phospholipid chain length and correla
ted with the sensitivity of chain ordering to temperature, partial der
ivative sigma/partial derivative(1/T), as chain length was varied. P-m
values decreased abruptly at temperatures below the main phase transi
tion temperatures in pure dipalmitoylphosphatidylcholine and dimyristo
ylphosphatidylcholine bilayers (30-60-fold) and below the pretransitio
n in dipalmitoylphosphatidylcholine bilayers (8-fold), and the linear
relationship between In f and sigma established for liquid-crystalline
bilayers was no longer followed. However, in both gel and liquid-crys
talline phases In f was found to exhibit an inverse correlation with f
ree surface area (In f=-0.31-29.1/a(f), where a(f) is the average free
area (in square angstroms) per lipid molecule). Thus, the lipid bilay
er permeability of acetic acid can be predicted from the relevant chai
n-packing properties in the bilayer (free surface area), regardless of
whether chain ordering is varied by changes in temperature, lipid cha
in length, cholesterol concentration, or bilayer phase structure, prov
ided that temperature effects on permeant dehydration and diffusion an
d the chain-length effects on bilayer barrier thickness are properly t
aken into account.