Membrane dipole potentials, hydration forces, and the ordering of water at membrane surfaces

Contributions of hydration and steric (entropic) pressures to the interactions between phosphatidylcholine bilayers: experiments with the subgel phase

The total repulsive interaction between electrically neutral, fluid bilayer membranes is thought to have a number of components, including a hydration pressure, due to the reorientation of water by the bilayer, and steric (entropic) pressures due to bilayer undulations, head group motion, and molecular protrusions. For fully hydrated, crystalline bilayers these three steric pressures should be relatively small, and the major repulsive pressure present should be the hydration pressure. Therefore, to isolate the contribution of hydration pressure to the total interbilayer interaction, we have measured pressure-distance data by X-ray diffraction analysis of osmotically stressed dipalmitoylphosphatidylcholine (DPPC) multilayers in the subgel phase, where wide-angle and low-angle X-ray data show the bilayers are crystalline. As applied pressure was increased from 0 to 1 x 10(6) dyn/cm2, the interbilayer fluid space (df) decreased less than 1 A from its value at full hydration of 8.4 A. As the pressure was increased from 1 x 10(6) to 3 x 10(7) dyn/cm2, df decreased from about 8 to 4 A. For this range of df, the repulsive pressure decayed exponentially with df with a decay length of 1.4 A. Further increases in applied pressure did not appreciably decrease df, so that there was a sharp upward break in the pressure-distance curve at an interbilayer spacing of about 3 A. In contrast, pressure-distance relations for gel (L beta') phase and liquid-crystalline (L alpha) phase bilayers had much softer upward breaks at df < 5 A and extended to larger df at zero applied pressure. However, the pressure-distance curves for all three phases decayed exponentially with approximately the same decay length for 4 < df < 8 A. We interpret these data to mean the following: (1) the repulsion observed for df < 5 A is primarily a steric pressure whose range depends on head group motion; (2) the steric undulation pressure plays an important role in determining the hydration properties and the range of the total repulsive pressure for fluid membranes; (3) the same underlying mechanisms govern the repulsive pressure for all phases for 4 < df < 8 A; (4) these mechanisms include a pressure due to reorientation of water molecules; and (5) the hydration pressure component extents a maximum of about two water molecules from the bilayer surface for the subgel phase.

Internal electrostatic potentials in bilayers: measuring and controlling dipole potentials in lipid vesicles

The binding and translocation rates of hydrophobic cation and anion spin labels were measured in unilamellar vesicle systems formed from phosphatidylcholine. As a result of the membrane dipole potential, the binding and translocation rates for oppositely charged hydrophobic ions are dramatically different. These differences were analyzed using a simple electrostatic model and are consistent with the presence of a dipole potential of approximately 280 mV in phosphatidylcholine. Phloretin, a molecule that reduces the magnitude of the dipole potential, increases the translocation rate of hydrophobic cations, while decreasing the rate for anions. In addition, phloretin decreases the free energy of binding of the cation, while increasing the free energy of binding for the anion. The incorporation of 6-ketocholestanol also produces differential changes in the binding and translocation rates of hydrophobic ions, but in an opposite direction to those produced by phloretin. This is consistent with the view that 6-ketocholestanol increases the magnitude of the membrane dipole potential. A quantitative analysis of the binding and translocation rate changes produced by ketocholestanol and phloretin is well accounted for by a point dipole model that includes a dipole layer due to phloretin or 6-ketocholestanol in the membrane-solution interface. This approach allows dipole potentials to be estimated in membrane vesicle systems and permits predictable, quantitative changes in the magnitude of the internal electrostatic field in membranes. Using phloretin and 6-ketocholestanol, the dipole potential can be altered by over 200 mV in phosphatidylcholine vesicles.

Electroporation in symmetric and asymmetric membranes

We present results of electrical measurements performed both on symmetric and asymmetric membranes in current-clamp conditions. The current-voltage characteristic curve of the membranes shows a reversible conductance transition to a higher level above a critical potential Vc. The experimental results are interpreted in the light of the electroporation theory, which allows estimates of the line tension to be made. These estimates are compared to previous experimental findings or theoretical calculations. The behaviour of symmetric membranes of different chain lengths or consisting of mixtures of short and long chains indicates a strong dependence of Vc on the chain composition and on the presence of charges on the polar head. The electroporation process is also analyzed in asymmetric bilayers consisting of a charged and an uncharged monolayer, a condition which mimics that of natural membranes. Therefore it is possible to analyze the electrical forces acting on the uncharged monolayer due to the presence of charges on the other one, under several ionic-strength conditions. It is shown that the instability arises in the uncharged monolayer, while the coupling between the two monolayers triggers the electroporation process.

Charges, currents, and potentials in ionic channels of one conformation

Flux through an open ionic channel is analyzed with Poisson-Nernst-Planck (PNP) theory. The channel protein is described as an unchanging but nonuniform distribution of permanent charge, the charge distribution observed (in principle) in x-ray diffraction. Appropriate boundary conditions are derived and presented in some generality. Three kinds of charge are present: (a) permanent charge on the atoms of the protein, the charge independent of the electric field; (b) free or mobile charge, carried by ions in the pore as they flux through the channel; and (c) induced (sometimes called polarization) charge, in the pore and protein, created by the electric field, zero when the electric field is zero. The permanent charge produces an offset in potential, a built-in Donnan potential at both ends of the channel pore. The system is completely solved for bathing solutions of two ions. Graphs describe the distribution of potential, concentration, free (i.e., mobile) and induced charge, and the potential energy associated with the concentration of charge, as well as the unidirectional flux as a function of concentration of ions in the bath, for a distribution of permanent charge that is uniform. The model shows surprising complexity, exhibiting some (but not all) of the properties usually attributed to single filing and exchange diffusion. The complexity arises because the arrangement of free and induced charge, and thus of potential and potential energy, varies, sometimes substantially, as conditions change, even though the channel structure and conformation (of permanent charge) is strictly constant. Energy barriers and wells, and the concomitant binding sites and binding phenomena, are outputs of the PNP theory: they are computed, not assumed. They vary in size and location as experimental conditions change, while the conformation of permanent charge remains constant, thus giving the model much of its interesting behavior.

Probes of membrane electrostatics: synthesis and voltage-dependent partitioning of negative hydrophobic ion spin labels in lipid vesicles

Two spin-labeled derivatives of the hydrophobic anion trinitrophenol have been synthesized and characterized in lipid vesicles. In the presence of lipid vesicles, the electron paramagnetic resonance (EPR) spectra of these probes are a composite of both membrane-bound and aqueous populations; as a result, the membrane-aqueous partitioning can be determined from their electron paramagnetic resonance spectra. The effect of transmembrane potentials on the membrane-aqueous partitioning of these spin-labeled hydrophobic ions was examined in phosphatidylcholine vesicles formed by extrusion. Inside positive membrane potentials promote an increase in the binding of these probes that is quantitatively accounted for by a simple thermodynamic model used previously to describe the partitioning of paramagnetic phosphonium ions. The transmembrane migration rates of these ions are dependent on the dipole potential, indicating that these ions transit the membrane in a charged form. The partitioning of the probe is also sensitive to the membrane surface potential, and this dependence is accurately accounted for using the Gouy-Chapman Stern formalism. As a result of the membrane dipole potential, these probes exhibit a stronger binding and a more rapid transmembrane migration rate compared with positive hydrophobic ion spin labels and provide a new set of negatively charged hydrophobic ion probes to investigate membrane electrostatics.

Photogating of ionic currents across lipid bilayers. Electrostatics of ions and dipoles inside the membrane

The conductances of the lipophilic ions tetraphenylboride and tetraphenylphosphonium across a lipid bilayer can be increased or decreased, i.e., gated, by the photoformation of closed-shell metalloporphyrin cations within the bilayer. The gating can be effected by pulsed or continuous light or by chemical oxidants. At high concentrations of lipophilic anions where the dark conductance is saturated due to space charge in the bilayer, the photogated conductance can increase 15-fold. The formation of porphyrin cations allows the conductance to increase to its nonspace charge limited value. Conversely, the decrease of conductance in the light of phosphonium cations diminishes toward zero as the dark conductance becomes space charge limited. We present electrostatic models of the space charge limited conductance that accurately fit the data. One model includes an exponentially varying dielectric constant for the polar regions of the bilayer that allows an analytical solution to the electrostatic problem. The exponential variation of the dielectric constant effectively screens the potential and implies that the inside and outside of real dielectric interfaces can be electrically isolated from one another. The charge density, the distance into the membrane of the ions, about one-quarter of its thickness, and the dielectric constant at that position are determined by these models. These calculations indicate that there is insufficient porphyrin charge density to cancel the boride ion space charge and the following article proposes a novel ion chain mechanism to explain these effects. These models indicate that the positive potential arising from oriented carbonyl ester groups, previously used to explain the 10(3)-fold larger conductance of hydrophobic anions over cations, is smaller than previously estimated. However, the synergistic movement of the positive choline group into the membrane can account for the large positive potential.

Molecular origin of the internal dipole potential in lipid bilayers: calculation of the electrostatic potential

The finite difference linearized Poisson-Boltzmann equation was solved for a segment of bilayer for two lipids (phosphatidylcholine dihydrate and phosphatidylethanolamine-acetic acid) in order to obtain the transbilayer electrostatic potential. Atomic coordinates derived from the crystal structures of these lipids were used, and partial changes were assigned to all atoms in the polar parts of the molecules. These calculations confirmed that a dipole potential exists in the uncharged hydrophobic interior of a bilayer. The phosphocholine and phosphoethanolamine groups make negative contributions to the internal potential, and the glycerol acyl esters make positive contributions, but the sum of these terms is negative. The water of hydration in phosphatidylcholine, and the acetic acid which is present in the phosphatidylethanolamine crystal structure, make positive contributions to the internal potential. It is concluded that the water of hydration in fully hydrated lipid bilayers is mainly responsible for the experimentally inferred positive sign of the internal potential.