Relaxation phenomena in human erythrocyte suspensions.

Previous work has shown that the application of the Joule heating temperature jump technique of Eigen and de Maeyer to an istonic suspension of human erythrocytes induced an interiorization of [3H-A1glucose and a hemolysis of the red cells (Tsong, T.Y., and E. Kingsley, J. Biol. Chem. 250:786 [1975]). The result was interpreted as due to the thermal osmosis effect. Further considerations of the various effects of the Joule heating technique indicate that the hemolysis of the red cells may also be caused by the rapid dielectric perturbation of the cell membranes. By means of turbidity measurements of the suspensions we have detected at least four relaxation times. Two of the faster ones (tau1 approximately 20 mus and tau2 approximately 5 ms) are tentatively attributed to water relaxations in the membrane structures. The other two are attributed to membrane ruptures (tlag approximately 0.1s) and the hemolysis reaction (tau3 approximately 0.5 s). Studies with the erythrocytes from different hematological disorders indicate that whereas the two slower relaxations are sensitive to the overall physical property of the red cell membranes the two faster relaxations are not. These observations are consistent with the above assignment of the relaxation processes. The apparent activation energies are, above assignment of the relaxation processes. The apparent activation energies are, respectively, 8.4, 12.0, and 11.8 kcal/mol for the tau1, tau2, and tau3 reactions. Experiments with erythrocyte ghosts indicate a single relaxation for the water permeation, and biphasic kinetics for the membrane rupture and resealing reactions. The phenomena reported here may contribute to our understanding of water transport and molecular release in cellular systems.     

Interaction of surfactants with model and biological membranes. II. Effect of N-alkyl-N,N,N-trimethylammonium ions on phosphatidylcholine bilayers as studied by spin probe ESR

The interaction of N-alkyl-N,N,N-trimethylammonium (CnTMA, n = 6-18) salts (iodides and/or bromides) with model membranes prepared by hydration of egg yolk phosphatidylcholine (EYPC) over aqueous salt solutions has been studied by m-doxyl stearic acid (m-DSA, m = 12 and 16) spin probe method. In disoriented EYPC bilayers the CnTMA salts decrease the orientational order parameter S33 of m-DSA evaluated from the powder pattern ESR spectra. This effect is maximal for C6TMA. In oriented EYPC bilayers prepared by the parallel-beam sputtering method and hydrated over saturated NaCl solution the order parameter S33 calculated from the angular dependence of the nitrogen hyperfine splitting is decreased in the presence of C6TMA. The order parameter S11 obtained from the angular dependence of line positions indicates deviation of m-DSA motion from axial symmetry. C6TMA increases the probability of gauche conformations of the lipid chains by about 13-14%, and decreases the effective energy difference between the trans and gauche conformations by about 420-480 J/mol, at molar ratio of EYPC/C6TMA = 2:1. The angular dependence of linewidths is analysed by employing a theory of spin relaxation based on the strong collision model for molecular reorientations. The correlation time tau 0 of the reorientation of an axis orthogonal to the doxyl ring of 16-DSA is decreased in the presence of C6TMA, while that of 12-DSA is not influenced by it. The ratio of tau 2/tau 0 is increased in the presence of C6TMA for the both spin probes. The results are explained using the free-volume model of the CnTMA-EYPC membrane interaction.     

The N-Shaped Current-Potential Characteristic in Frog Skin: I. Time Development during Step Voltage Clamp

A fast (10 musec) voltage-clamp system similar to that used on nerve axons was applied across the frog skin. An electrical analog is used to obtain the electrical parameters and to estimate the time (300 musec) required to voltage clamp the excitable membrane layer in the skin. The speed of the clamp allows observation of the early development in time of an N-shaped current-potential (I-V) relation. The isochronal I-V curves constructed from step clamp data show the beginning of a negative slope in about 250 musec after successively applied step changes in skin potential (> 200 mv). Subsequently, the negative slope reaches a quasi-steady state interval (0.4-1.5 msec) and then decays and disappears in the next 20 msec. The negative slope I-V characteristic is only found in skins which exhibit spike generation under current clamp.     

Electric field effects in bacteriorhodopsin.

Exposure of aqueous suspensions of fragments of the purple membrane of Halobacterium halobium to electric field pulses leads to transient linear dichroism phenomena. The effects are interpreted in terms of field-induced alignments of the bacteriorhodopsin chromophore. Two observed relaxation times (tau) are attributed to rotation of the whole membrane fragments (tau s approximately 100 ms), and to a much faster reorientation of the chromophore within membrane (tau f approximately 260 microns).     

Relaxation studies on the interaction of hexamethonium with acetylcholine-receptor channels inAplysia neurons

The mode of action of the cholinergic antagonist hexamethonium on the excitatory responses of voltage-clamped Aplysia neurons to acetylcholine (ACh) has been examined by voltage- and concentration-jump relaxation analysis. At steady-state concentrations of ACh hyperpolarizing command steps induced inward current relaxations to a new steady-state level (Iss). The time constants of these inward relaxations, tau f, which approximate the mean single-channel lifetime, were increased both by increasing the membrane potential and by lowering the bath temperature (Q10 = 3) but were not affected by increasing the ACh concentration over the dose range employed. In the presence of hexamethonium hyperpolarizing command steps produced biphasic relaxations of the agonist-induced current. tau f was reduced in a voltage-dependent manner, the degree of reduction increasing with hyperpolarization. Slow, inverse relaxations were also triggered in the presence of hexamethonium. The time constant of this relaxation was reduced by increasing membrane potential and hexamethonium concentration. Both the estimated association (kf = 5 X 10(4) M-1 . sec-1) and the estimated dissociation (kb = 0.24-0.29 sec-1) rate constants derived from a three-state sequential model for block by hexamethonium were independent of the membrane potential. Similar rate constants were estimated from experiments with the concentration-jump technique, which were also independent of the membrane potential over the range -50 to -110 mV. It is suggested that the voltage-dependent actions of hexamethonium may originate either from an alteration of the channel opening and closing rate constants through an allosteric interaction with the ACh receptor, rather than through an influence of the transmembrane electric field on the rate of drug binding, or through a fast reaction which is rate-limited by voltage-independent diffusion.     

Electron paramagnetic study of electron transport in photosynthetic systems. X. Effect of magnesium ions on the structural state of thylakoid membranes and the kinetics of electron transport between the two photosystems in bean chloroplasts

The effect of Mg2+-ions on the physical state of thylakoid membrane and kinetics of electron transport between two photosystems were studied. The rate of electron transport from photosystem 2 to P700+ and the activity of photosystem 2 were obtained from the kinetics of P700 redox transients induced by flashes of white light (t1/2 = 7 musec or 0.75 msec) fired simultaneously with the background continuous far-red light (707 nm). The spin-labeled stearic acids (I1.14 and I12.3) were used as indicators of Mg2+-induced structural changes. Addition of MgCl2 stimulates incorporation of spin-labels into the lipid region of the thylakoid membrane. It was found that Mg2+-ions modify the ESR spectrum of I12.3. The results evidence that the screening of charged groups on the thylakoid membrane surface induces structural changes in the lipid region of the membrane. We have concluded that these structural changes result in reorientation of lipid molecules in the thylakoid membrane. There is a correlation between Mg2+-induced structural changes and electron transport in chloroplasts. Addition of Mg2+-ions stimulates the photochemical activity of photosystem 2 by increasing the amount of active reaction centres and modifies the rate constant of electron transport from photosystem 2 to P700+. It has been demonstrated that ion regulation of electron transport in more effective in the oxidising side than in the reducing side of plastoquinone shuttle.     

The range and shielding of dipole-dipole interactions in phospholipid bilayers

In molecular dynamics simulations of lipid bilayers, the structure is sensitive to the precise treatment of electrostatics. The dipole-dipole interactions between headgroup dipoles are not long-ranged, but the area per lipid and, through it, other properties of the bilayer are very sensitive to the detailed balance between the perpendicular and in-plane components of the headgroup dipoles. This is affected by the detailed properties of the cutoff scheme or if long-range interactions are included by Ewald or particle-mesh Ewald techniques. Interaction between the in-plane components of the headgroup dipoles is attractive and decays as the inverse sixth power of distance. The interaction is screened by the square of a dielectric permittivity close to the value for water. Interaction between the components perpendicular to the membrane plane is repulsive and decays as the inverse third power of distance. These interactions are screened by a dielectric permittivity of the order 10. Thus, despite the perpendicular components being much smaller in magnitude than the in-plane components, they will dominate the interaction energies at large distances.     

Possible origin of gating current in nerve membrane.

The present information about gating current observed in squid giant axons points towards the distinct possibility of the current arising from the Debye relaxation of the carboxyl groups in the side chains of the globular proteins enclosing the ionic channels. These carboxyl groups form dipole chains stretching across the membrane. A dipole model is constructed to study the relaxation process under the assumption that the relaxation time tau of the dipoles is modified by dipole-dipole interaction. This model explains qualitatively some of the features of the asymmetric gating current, but is not indicative of any specific mechanism leading to the opening of the gates in the ionic channels. We speculate that the conformational change in the protein globules as a result of dipole reorientation would be the key to the mystery.     

The role of proteins in a dipole model for steady-state ionic transport through biological membranes.

The steady-state current-voltage characteristics of biological membranes are analyzed for means of an application of the electrodiffusion theory to the passage of ions through "dielectric pores", with orientable dipoles at the pore-water interfaces. A detailed evaluation of the electrostatic potential barrier shows, indeed, that the ions have practically no chance to penetrate into the phospholipid bilayer, but that they can cross the membrane through local protein inclusions, of high dielectric constant. A "gating mechanism" can be provided, moreover, by a change of the potential barrier, resulting from a dipole reorientation at the pore-water interface. Dipole-dipole interactions are opposed to the orienting effect of an applied field, but they can be neglected when the separation between the dipoles exceeds a certain critical value. The high polarizability of the pore material leads to an amplification of the effect of an applied field on the orientable dipoles. It is therefore possible to achieve a satisfactory agreement with the experimental results of Gilbert and Ehrenstein (Biophys. J., 9: 447, 1969) for the squid axon, and, in particular, to account for the width of the negative resistance regions with a relatively small value for the length of the orientable dipoles.     

Interspike Interval Fluctuations in the Crayfish Stretch Receptor

Trains of nerve impulses from the crayfish stretch receptor under steady conditions are found to be extremely regular with a standard deviation of S = 0.7 x 10(-2)tau when tau, the mean interval, is in the 15 to 80 msec range. Such a small fluctuation increases the problems of film recording, accurate measurement of intervals, and especially, drifts. Experimental and mathematical techniques are described to obviate these problems. Evidence is found for a serial correlation coefficient of about -0.2 in the range, tau = 35 msec to tau = 70 msec. Shot noise and Johnson noise in a long axon are evaluated in detail and are shown to be comparable in size. It is also shown that neither shot noise nor Johnson noise is large enough to explain simply the observed interval fluctuations. Other types of membrane noise are discussed.     

Studies of Photosynthesis Using a Pulsed Laser: I. Temperature Dependence of Cytochrome Oxidation Rate in Chromatium. Evidence for Tunneling

The rate of oxidation of cytochrome following absorption of a short pulse of light from a ruby laser in the photosynthetic bacterium Chromatium has been measured spectrophotometrically. The half-time is about 2 musec at room temperature increasing to 2.3 msec at about 100 degrees K and constant at the latter value to 35 degrees K or below. The temperature dependence above 120 degrees K corresponds to an activation energy of 3.3 kcal/mole; that below 100 degrees K to less than 80 cal/mol: essentially a temperature-independent electron transport reaction. Since the slowness below 100 degrees K indicates the presence of a barrier, the lack of activation energy is taken to mean penetration by quantum-mechanical "tunneling."     

Interaction of phospholipids with Ca2+ ions. On the role of the phospholipid head groups

Neutral phospholipids play an important role in Ca2+ binding to biomembranes, in particular if the membrane carries a net negative surface charge due to charged lipids or proteins. The concentration of Ca2+ ions in the plane of the phospholipid head groups can be enhanced by at least two orders of magnitude compared to bulk solution. Ca2+ binding furthermore changes the orientation of the phospholipid head groups which is accompanied by variations of the local membrane dipole potential of the order of 10(5) V/cm. Such high electric fields could entail conformational changes of membrane-bound proteins and the Ca2(+)-induced reorientation of the lipid dipoles could thus play a regulatory role in membrane function.     

Asymmetric electrostatic effects on the gating of rat brain sodium channels in planar lipid membranes.

The effects of ionic strength (10-1,000 mM) on the gating of batrachotoxin-activated rat brain sodium channels were studied in neutral and in negatively charged lipid bilayers. In neutral bilayers, increasing the ionic strength of the extracellular solution, shifted the voltage dependence of the open probability (gating curve) of the sodium channel to more positive membrane potentials. On the other hand, increasing the intracellular ionic strength shifted the gating curve to more negative membrane potentials. Ionic strength shifted the voltage dependence of both opening and closing rate constants of the channel in analogous ways to its effects on gating curves. The voltage sensitivities of the rate constants were not affected by ionic strength. The effects of ionic strength on the gating of sodium channels reconstituted in negatively charged bilayers were qualitatively the same as in neutral bilayers. However, important quantitative differences were noticed: in low ionic strength conditions (10-150 mM), the presence of negative charges on the membrane surface induced an extra voltage shift on the gating curve of sodium channels in relation to neutral bilayers. It is concluded that: (a) asymmetric negative surface charge densities in the extracellular (1e-/533A2) and intracellular (1e-/1,231A2) sides of the sodium channel could explain the voltage shifts caused by ionic strength on the gating curve of the channel in neutral bilayers. These surface charges create negative electric fields in both the extracellular and intracellular sides of the channel. Said electric fields interfere with gating charge movements that occur during the opening and closing of sodium channels; (b) the voltage shifts caused by ionic strength on the gating curve of sodium channels can be accounted by voltage shifts in both the opening and closing rate constants; (c) net negative surface charges on the channel's molecule do not affect the intrinsic gating properties of sodium channels but are essential in determining the relative position of the channel's gating curve; (d) provided the ionic strength is below 150 mM, the gating machinery of the sodium channel molecule is able to sense the electric field created by surface changes on the lipid membrane. I propose that during the opening and closing of sodium channels, the gating charges involved in this process are asymmetrically displaced in relation to the plane of the bilayer. Simple electrostatic calculations suggest that gating charge movements are influenced by membrane electrostatic potentials at distances of 48 and 28 A away from the plane of the membrane in the extracellular sides of the channel, respectively.     

Kinetics of acetylcholine-activated cation channel blockade by the calcium antagonist D-600 inAplysia neurons

The effects of the calcium channel blocker D-600 on the cation channels activated by acetylcholine (ACh) was studied in voltage-clamped Aplysia neurons by voltage-jump relaxation analysis. D-600 blocked the steady-state ACh current in a highly voltage-dependent manner, the degree of antagonism increasing with membrane hyperpolarization. In the presence of D-600 the current relaxations following hyperpolarizing command steps became biphasic. The time constants of ACh-induced current relaxations (tau f), which approximate the mean channel lifetime, were reduced in a voltage-dependent manner, the degree of reduction of tau f increasing with increasing membrane potential. In addition to the acceleration of tau f, a slow, inverse kinetic component (tau s) of the relaxation appeared in the presence of D-600. The rate of this inverse kinetic component was accelerated either by increasing the agonist or antagonist dose or by increasing the membrane potential. These results suggest that D-600 acts to antagonize the acetylcholine response through a blockade of the open state of the transmitter-activated cation channel. Possible kinetic schemes for this interaction are discussed.     

Two distinct modulatory effects on calcium channels in adult rat sensory neurons.

D-ala2-D-leu5-enkephalin (100 to 1000 nM) reduces HVA Ca2+ currents of approximately 60% in 92% of the adult rat sensory neurons tested. In 80% of the cells sensitive to enkephalin, the reduction in Ca2+ current amplitude was associated with a prolongation of the current activation that was relieved by means of conditioning pulses in a potential range only about 10 mV positive to the current activation range in control conditions. The time course of the current activation was fitted to a single exponential in control, (tau = 2.23 msec +/- 0.14 n = 38) and double exponential with enkephalin, (tau 1 = 2.18 msec +/- 0.25 and tau 2 = 9.6 msec +/- 1, test pulse to -10 mV, 22 degrees C). A strong conditioning depolarizing prepulse speeded up the activation time course, completely eliminating the slow, voltage-sensitive exponential component, but it was only partial effective in restoring the current amplitude to control values. The voltage-independent inhibitory component that was not relieved could be recovered only by washing out enkephalin. In the remaining 20% of the cells affected, enkephalin decreased Ca2+ current amplitude without prolongation of Ca2+ channel activation. In these cases the conditioning voltage pulse was not effective in relieving the inhibition that persisted also at strong positive test potentials, on the outward currents. The voltage-dependent inhibition occurred slowly after enkephalin superfusion (tau congruent to 12 sec), whereas the voltage-independent one developed about ten times more rapidly. Dopamine (100 microM) could also induce both voltage-dependent and independent modulations.(ABSTRACT TRUNCATED AT 250 WORDS)     

A method to determine dielectric constants in nonhomogeneous systems: application to biological membranes

Continuum electrostatic models have had quantitative success in describing electrostatic-mediated phenomena on atomistic scales; however, there continues to be significant disagreement about how to assign dielectric constants in mixed, nonhomogeneous systems. We introduce a method for determining a position-dependent dielectric profile from molecular dynamics simulations. In this method, the free energy of introducing a test charge is computed two ways: from a free energy perturbation calculation and from a numerical solution to Poisson's Equation. The dielectric profile of the system is then determined by minimizing the discrepancy between these two calculations simultaneously for multiple positions of the test charge. We apply this method to determine the dielectric profile of a lipid bilayer surrounded by water. We find good agreement with dielectric models for lipid bilayers obtained by other approaches. The free energy of transferring an ion from bulk water to the lipid bilayer computed from the atomistic simulations indicates that large errors are introduced when the bilayer is represented as a single slab of low dielectric embedded in the higher-dielectric solvent. Significant improvement results from introducing an additional layer of intermediate dielectric (∼3) on each side of the low dielectric core extending from ∼12 Å to 18 Å. A small dip in transfer free energy just outside the lipid headgroups indicates the presence of a very high dielectric. These results have implications for the design of implicit membrane models and our understanding of protein-membrane interactions.     

Dielectric studies on self-associating nucleosides and bases in aqueous solution

Measurements have been made of the dielectric properties of aqueous solutions in which aggregates are formed by stacking. The nucleosides cytidine, uridine and thymidine, and the bases purine, pyrimidine and 6-methylamino-9-methyl-purine (N⁶N⁹-dimethyladenine) were investigated at around 1 MHz, where the static increments can be determined, and for cytidine, dimethyladenine, uridine and pyrimidine measurements were also made in the 100–2000 MHz range where the main relaxation of the solute dipoles is found. Whereas cytidine and purine show a positive static dielectric increment increasing linearly with concentration, dimethyladenine, uridine, thymidine and pyrimidine show a similar negative effect. Also, within the experimental accuracy, single retaxation times are found for the solute dispersions investigated.It is suggested that these relaxations correspond to the effects of free rotation of individual polar molecules in the plane of stacking. This phenomenon would also account for the linear variation of the dielectric increments with concentration. These increments are thought to be positive or negative due to the varying balance in the solutions between the loss of polarization due to displaced and “bound” water and the corresponding gain due to the polarity of the solute molecules.     

Water in channel-like cavities: structure and dynamics.

Ion channels contain narrow columns of water molecules. It is of interest to compare the structure and dynamics of such intrapore water with those of the bulk solvent. Molecular dynamics simulations of modified TIP3P water molecules confined within channel-like cavities have been performed and the orientation and dynamics of the water molecules analyzed. Channels were modeled as cylindrical cavities with lengths ranging from 15 to 60 A and radii from 3 to 12 A. At the end of the molecular dynamics simulations water molecules were observed to be ordered into approximately concentric cylindrical shells. The waters of the outermost shell were oriented such that their dipoles were on average perpendicular to the normal of the wall of the cavity. Water dynamics were analyzed in terms of self-diffusion coefficients and rotational reorientation rates. For cavities of radii 3 and 6 A, water mobility was reduced relative to that of simulated bulk water. For 9- and 12-A radii confined water molecules exhibited mobilities comparable with that of the bulk solvent. If water molecules were confined within an hourglass-shaped cavity (with a central radius of 3 A increasing to 12 A at either end) a gradient of water mobility was observed along the cavity axis. Thus, water within simple models of transbilayer channels exhibits perturbations of structure and dynamics relative to bulk water. In particular the reduction of rotational reorientation rate is expected to alter the local dielectric constant within a transbilayer pore.     

Electrostatic field effects on membrane domain segregation and on lateral diffusion

Natural membranes are organized structures of neutral and charged molecules bearing dipole moments which generate local non-homogeneous electric fields. When subjected to such fields, the molecules experience net forces that can modify the lipid and protein organization, thus modulating cell activities and influencing (or even dominating) the biological functions. The energetics of electrostatic interactions in membranes is a long-range effect which can vary over distance within r⁻¹ to r⁻³. In the case of a dipole interacting with a plane of dipoles, e.g. a protein interacting with a lipid domain, the interaction is stronger than two punctual dipoles and depends on the size of the domain. In this article, we review several contributions on how electrostatic interactions in the membrane plane can modulate the phase behavior, surface topography and mechanical properties in monolayers and bilayers.     

Langevin Poisson-Boltzmann equation: point-like ions and water dipoles near a charged surface

Water ordering near a charged membrane surface is important for many biological processes such as binding of ligands to a membrane or transport of ions across it. In this work, the mean-field Poisson-Boltzmann theory for point-like ions, describing an electrolyte solution in contact with a planar charged surface, is modified by including the orientational ordering of water. Water molecules are considered as Langevin dipoles, while the number density of water is assumed to be constant everywhere in the electrolyte solution. It is shown that the dielectric permittivity of an electrolyte close to a charged surface is decreased due to the increased orientational ordering of water dipoles. The dielectric permittivity close to the charged surface is additionally decreased due to the finite size of ions and dipoles.