A theory of ion permeation through membranes with fixed neutral sites

Summary Some model membranes and biological membranes behave as if ion permeation were controlled by fixed neutral sites, i.e., by groups that are polar but lack net charge. By solving the boundary conditions and Nernst-Planck flux equations, this paper derives the expected properties of four types of membranes with fixed neutral sites: model 1, a membrane thick enough that microscopic electroneutrality is obeyed; model 2, same as model 1 but with a free-solution shunt in parallel; model 3, a membrane thin enough that microscopic electroneutrality is violated; and model 4, same as model 3 but with a free-solution shunt in parallel. The conductance-concentration relation and the current-voltage relation in symmetrical solutions are approximately linear for all four models. Partial ionic conductances are independent of each other for a thin membrane but not for a thick membrane. Sets of permeability ratios derived from conductances, dilution potentials, or biionic potentials agree with each other in a thin membrane but not in a thick membrane. The current-voltage relation in asymmetrical single-salt solutions is linear for a thick membrane but nonlinear for a thin membrane. Examples of potential and concentration profiles in a thin membrane are calculated to illustrate the meaning of space charge and the electroneutrality condition. The experimentally determined properties (by A. Cass, A. Finkelstein & V. Krespi) of thin lipid membranes containing “pores” of the anion-selective antibiotic nystatin are in reasonable agreement with model 3. Tests are suggested for deciding if a membrane of unknown structure has neutral sites, whether it is thick or thin, and whether the sites are fixed or mobile.     

A network model for biofilm development in Escherichia coli K-12

Proteins in any solution with a pH value that differs from their isoelectric point exert both an electric Donnan effect (DE) and colloid osmotic pressure. While the former alters the distribution of ions, the latter forces water diffusion. In cells with highly Cl^--permeable membranes, the resting potential is more dependent on the cytoplasmic pH value, which alters the Donnan effect of cell proteins, than on the current action of Na/K pumps. Any weak (positive or negative) electric disturbances of their resting potential are quickly corrected by chloride shifts. In many excitable cells, the spreading of action potentials is mediated through fast, voltage-gated sodium channels. Tissue cells share similar concentrations of cytoplasmic proteins and almost the same exposure to the interstitial fluid (IF) chloride concentration. The consequence is that similar intra- and extra-cellular chloride concentrations make these cells share the same Nernst value for Cl^-. Further extrapolation indicates that cells with the same chloride Nernst value and high chloride permeability should have similar resting membrane potentials, more negative than -80 mV. Fast sodium channels require potassium levels >20 times higher inside the cell than around it, while the concentration of Cl^- ions needs to be >20 times higher outside the cell. When osmotic forces, electroneutrality and other ions are all taken into account, the overall osmolarity needs to be near 280 to 300 mosm/L to reach the required resting potential in excitable cells. High plasma protein concentrations keep the IF chloride concentration stable, which is important in keeping the resting membrane potential similar in all chloride-permeable cells. Probable consequences of this concept for neuron excitability, erythrocyte membrane permeability and several features of circulation design are briefly discussed.     

Pore formation by the Bordetella adenylate cyclase toxin in lipid bilayer membranes: Role of voltage and pH

The bifunctional adenylate cyclase toxin (ACT or CyaA) of Bordetella pertussis invades target cells via transport through the cytoplasmic membrane. The membrane potential represents thereby an important factor for the uptake in vivo. Previous studies demonstrated that adenylate cyclase (AC) delivery into cells requires a negative membrane potential inside the cells. The results of lipid bilayer experiments with ACT presented here indicated that two different types of pore-like structures are formed by ACT dependent on the orientation of the electrical potential across the membranes. Pore formation at a positive potential at the cis side of the membranes, the side of the addition of the toxin, was fast and its conductance had a defined size, whereas at negative potential the pores were not defined, had a reduced pore-forming activity and a very short lifetime. Fluctuations inserted at positive potentials showed asymmetric current-voltage relationships for positive and negative voltages. Positive potentials at the cis side resulted in an increasing current, whereas at negative potentials the current decreased or remained at a constant level. Calcium ions enhanced the voltage dependence of the ACT pores when they were added to the cis side. The single-pore conductance was strongly affected by the variation of the pH value and increased in 1M KCl with increasing pH from about 4 pS at pH 5 to about 60 pS at pH 9. The ion selectivity remained unaffected by pH. Experiments with ACT mutants revealed, that the adenylate cyclase (AC) and repeat (RT) domains were not involved in voltage and pH sensing.     

Na-dependent transport of tricarboxylic acid cycle intermediates by renal brush border membranes. Effects on fluorescence of a potential-sensitive cyanine dye

The effect of the transport of tricarboxylic acid cycle intermediates on the membrane potential of renal brush border vesicles was studied using fluorescence of the cyanine dye, 3,3′-dipropylthiadicarbocyanine iodide. The behavior of the dye in the preparation was established with valinomycin-induced K⁺-diffusion potentials; increases in fluorescence were associated with depolarizing conditions. Addition of 1 mM succinate or citrate to membrane/dye suspensions produced transient increases in fluorescence, indicative of a depolarizing event(s) associated with the transport of these substrates. The transient response in fluorescence was Na⁺ dependent, of greater magnitude under Na⁺-gradient as compared to Na⁺-equilibrium conditions, and was a saturable function of substrate concentration. The specificity of the fluorescence response was identical to that obtained from studies of the competitive inhibition of succinate transport by tricarboxylic acid cycle intermediates and analogs. We conclude that the major tricarboxylic acid cycle intermediates are transported via a common Na⁺-dependent transport system in renal brush border membranes.     

Synergistic Effects of the Membrane Actions of Cecropin-Melittin Antimicrobial Hybrid Peptide BP100

BP100 (KKLFKKILKYL-NH₂) is a short cecropin A-melittin hybrid peptide, obtained through a combinatorial chemistry approach, which is highly effective in inhibiting both the in vitro and in vivo growth of economically important plant pathogenic Gram-negatives. The intrinsic Tyr fluorescence of BP100 was taken advantage of to study the peptide's binding affinity and damaging effect on phospholipid bilayers modeling the bacterial and mammalian cytoplasmic membranes. In vitro cytotoxic effects of this peptide were also studied on mammalian fibroblast cells. Results show a stronger selectivity of BP100 toward anionic bacterial membrane models as indicated by the high obtained partition constants, one order of magnitude greater than for the neutral mammalian membrane models. For the anionic systems, membrane saturation was observed at high peptide/lipid ratios and found to be related with BP100-induced vesicle permeabilization, membrane electroneutrality, and vesicle aggregation. Occurrence of BP100 translocation was unequivocally detected at both high and low peptide/lipid ratios using a novel and extremely simple method. Moreover, cytotoxicity against mammalian models was reached at a concentration considerably higher than the minimum inhibitory concentration. Our findings unravel the relationships among the closely coupled processes of charge neutralization, permeabilization, and translocation in the mechanism of action of antimicrobial peptides.     

Electrolyte permeability and electromotive action of mosaic membranes composed of porous and liquid parts of high ionic selectivity for ions of opposite signs

Summary A theory is presented of the electromotive and ion permeability properties of membranes which consist of a mosaic of highly ion selectiveporous membrane areas of ion exchanger nature and of areas of highly ion selectiveliquid ion exchanger membranes, the two types of areas being exclusively permeable to ions of opposite sign. It is demonstrated that, with properly chosen membranes, the preferential permeability of such porous-liquid mosaic membranes for ions of one sign of charge will be the opposite of that apparently indicated by their electromotive action.The theory is based on the fact that the movement of ions across the porous membranes occurs in the dissociated state and in most instances is quantitatively linked to the resistance according to the Nernst-Einstein equation. The penetration of ions across liquid ion exchanger membranes, however, takes place essentially in a nondissociated state, and, as determined by self-exchange studies with radioactive tracers and stirred membranes, occurs at rates far in excess of those across porous membranes of the same resistance.For the theoretical treatment the simplest case, two-membrane macro-model concentration cells, is discussed in detail. Qualitatively, it is evident that the ratio of the permeability of anions and cations across such porous-liquid mosaic membranes ordinarily will be strongly in favor of the ions which penetrate across its liquid parts; contrariwise, the electromotive actions of the mosaic membranes ordinarily are dominated by its porous parts.Electric currents flow through all mosaic membranes; the strenghth of the current in a model cell may be calculated from the concentration potentials arising separately across the two membranes, and the resistances of the membranes and of the two solutions. From the strength of the current, the sign and the magnitude of the concentration potential arising in the model cell may be computed; in many instances it should closely approach the concentration potential across the porous membrane.For the test of this theory with two-membrane macro-mosaic models, the electrolyte of choice for experimental reasons was RbSCN, tagged with⁸⁶Rb⁺ and S¹⁴CN^–. The porous membranes were polystyrene sulfonic acid collodion matrix membranes; the liquid membranes consisted of 0.02m trioctyl propyl ammonium thiocyanate in 1-decanol. The ratios of the permeabilities across the model mosaic membranes determined by conventional rate of self-exchange measurements showed, as expected, that the permeability of the SCN^– ions is larger, up to 3600 times larger, than that of the Rb⁺ ions. The potentials arising in these models agreed within the limits of experimental error with those predicted by theory, closely approaching that arising at the cation selective porous membranes.     

Pore formation by the Bordetella adenylate cyclase toxin in lipid bilayer membranes: role of voltage and pH

The bifunctional adenylate cyclase toxin (ACT or CyaA) of Bordetella pertussis invades target cells via transport through the cytoplasmic membrane. The membrane potential represents thereby an important factor for the uptake in vivo. Previous studies demonstrated that adenylate cyclase (AC) delivery into cells requires a negative membrane potential inside the cells. The results of lipid bilayer experiments with ACT presented here indicated that two different types of pore-like structures are formed by ACT dependent on the orientation of the electrical potential across the membranes. Pore formation at a positive potential at the cis side of the membranes, the side of the addition of the toxin, was fast and its conductance had a defined size, whereas at negative potential the pores were not defined, had a reduced pore-forming activity and a very short lifetime. Fluctuations inserted at positive potentials showed asymmetric current-voltage relationships for positive and negative voltages. Positive potentials at the cis side resulted in an increasing current, whereas at negative potentials the current decreased or remained at a constant level. Calcium ions enhanced the voltage dependence of the ACT pores when they were added to the cis side. The single-pore conductance was strongly affected by the variation of the pH value and increased in 1M KCl with increasing pH from about 4 pS at pH 5 to about 60 pS at pH 9. The ion selectivity remained unaffected by pH. Experiments with ACT mutants revealed, that the adenylate cyclase (AC) and repeat (RT) domains were not involved in voltage and pH sensing.     

Aggregation of smooth muscle membranes and its use in the preparation of plasma membrane enriched fraction from gastric fundus smooth muscle

Microsomal membranes isolated from rat gastric fundus smooth muscle by differential centrifugation aggregate substantially in the presence of the divalent metal ion Mg2+ or Ca2+. The magnitude of cation-induced membrane aggregation is higher for Ca2+ than for Mg2+, but the ion concentration required for half-maximum membrane aggregation (K0.5 value) is similar for Mg2+ and Ca2+. Cation-induced membrane aggregation is suppressed by high ionic strength and low pH of the medium. Cation-induced membrane aggregation of mitochondrial membrane and plasma membrane enriched fractions differ in the rate of aggregate formation, metal ion concentration dependence, and pH dependence. Such different properties of membrane aggregation were used to prepare a plasma membrane enriched fraction by conventional differential centrifugation. Subfractionation of the heterogeneous microsomal membranes by free-flow electrophoresis indicated that smooth muscle plasma membranes showed a higher electrophoretic mobility than the intracellular membranes. These results suggest that ionic interactions on the cell membrane surfaces differ from those on the intracellular membrane surfaces and that induction of membrane aggregation by Ca2+ or Mg2+ is a useful procedure for an effective and rapid preparation of plasma membrane enriched fraction from smooth muscle.     

Distinct ion channel classes are expressed on the outer nuclear envelope of T- and B-lymphocyte cell lines

The outer nuclear membrane, endoplasmic reticulum, and mitochondrial membrane ion channels are poorly understood, although they are important in the control of compartmental calcium levels, cell division, and apoptosis. Few direct recordings of these ion channels have been made because of the difficulty of accessing these intracellular membranes. Using patch-clamp techniques on isolated nuclei, we measured distinct ion channel classes on the outer nuclear envelope of T-cell (human Jurkat) and BFL5 cell (murine promyelocyte) lines. We first imaged the nuclear envelopes of both Jurkat and FL5 cells with atomic force microscopy to determine the density of pore proteins. The nuclear pore complex was intact at roughly similar densities in both cell types. In patch-clamp recordings of Jurkat nuclear membranes, Cl channels (105 +/- 5 pS) predominated and inactivated with negative pipette potentials. Nucleotides transiently inhibited the anion channel. In contrast, FL5 nuclear channels were cation selective (52 +/- 2 pS), were inactivated with positive membrane potentials, and were insensitive to GTPgammaS applied to the bath. We hypothesize that T- and B-cell nuclear membrane channels are distinct, and that this is perhaps related to their unique roles in the immune system.     

Activity of toxins produced by Pseudomonas syringae pv. syringae in model and cell membranes

We studied effects of toxins produced by a bacterium Pseudomonas syringae pv. syringae on the conductance of bilayer lipid membranes (BLM). The used toxins were as follows: syringopeptin 22A (SP22A), syringomycin E (SPE), syringostatin A (SSA), syringotoxin B (STB), and methylated syringomycin E (CH3-SRE). All toxins demonstrated channel-forming activity. The threshold sequence for toxin activity was SP22A > SRE approximately equal to SSA > STB > CH3-SRE, and this sequence was independent of lipid membrane composition, and NaCl concentration (pH 6) in the membrane bathing solution (in the range of 0.1-1.0 M). This sequence correlated with relative bioactivities of toxins. In addition, SRE demonstrated a more potent antifungal activity than CH3-SRE. These findings suggest that ion channel formation may underlie the bioactivities of the above toxins. The properties of single ion channels formed by the toxins in BLMs were found to be similar, which points to the similarity in the channel structures. In negatively charged membranes, bathed with diluted electrolyte solutions (0.1 M NaCl), the channels were seen to open with positive transmembrane potentials (V) (from the side of toxin addition), and close with negative potentials. In uncharged membranes the opposite response to a voltage sign was observed. Increasing the NaCl concentration up to 1 M unified the voltage sensitivity of channels in charged and uncharged membranes: channels opened with negative V, and closed with positive V. With all systems, the voltage current curves of single channels were similarly superlinear in the applied voltage and asymmetric in its sign. It was found that the single channel conductance of STB and SSA was higher than that of other toxin channels. All the toxins formed at least two types of ion channels that were multiple by a factor of either 6 or 4 in their conductance. The results are discussed in terms of the structural features of toxin molecules.     

A theory for the effects of diffusion-reaction coupling on the carrier-mediated ionic permeability in lipid bilayers

The zero-current membrane potential and the current-voltage relations are discussed theoretically for the case in which ionic transport is mediated by carriers that form complexes with ions in the aqueous phase (‘solution complexation’ mechanism). Interest for this topic originated partly from the finding that gradients of the neutral cyclic peptide PV, cyclo (dVal-lPro-lVal-dPro)₃, commonly thought to act as a carrier via ‘solution complexation’, generate Nernstian potentials across lipid bilayers separating solutions of identical ion composition. It is shown that the general expression for the potential in a gradient of carriers reduces to the Nernst equation under any of the following conditions: slow aqueous reaction; impermeability of the membrane to the neutral carriers; high concentration of the complexing ions in solution; finite permeability of the membrane to the neutral carrier, but faster rate of movement from the membrane surface into the torus than across the middle or out of the membrane. In symmetrical solutions, the conductance is most typically characterized by a quantity that we designate by δ*, which has the dimensions of a length and is generally a complex function of ion activity. Comparing the thory with previous data on dioleoylphosphatidylcholine membranes in the presence of PV and K⁺, the order of magnitude of the rates of the aqueous reaction and of the membrane permeability to the neutral carriers is tentatively estimated.     

Kinetic transport model for cellular regulation of pH and solute concentration in the renal proximal tubule.

An open circuit kinetic model was developed to calculate the time course of proximal tubule cell pH, solute concentrations, and volume in response to induced perturbations in luminal or peritubular fluid composition. Solute fluxes were calculated from electrokinetic equations containing terms for known carrier saturabilities, allosteric dependences, and ion coupling ratios. Apical and basolateral membrane potentials were determined iteratively from the requirements of cell electroneutrality and equal opposing transcellular and paracellular currents. The model converged to membrane potentials accurate to 0.05% in one to four iterations. Model variables included cell concentrations of Na, K, HCO3, glucose, pH (uniform CO2), volume, and apical and basolateral membrane potentials. The basic model contained passive apical membrane transport of Na/H, Na/glucose, H and K, basolateral transport of Na/3HCO3, K, H, and glucose, and paracellular transport of Na, K, Cl, and HCO3; apical H and basolateral 3Na/2K-ATPases were present. Apical Na/H and basolateral K transport were regulated allosterically by pH. Apical Na/H transport, basolateral Na/3HCO3 transport, and the 3Na/2K-ATPase were saturable. Model parameters were chosen from data in the rat proximal tubule. Model predictions for the magnitude and time course of cell pH, Na, and membrane potential in response to rapid changes in apical and peritubular Na and HCO3 were in excellent agreement with experiment. In addition, the model requires that there exist an apical H-ATPase, basolateral Na/3HCO3 transport saturable with HCO3, and electroneutral basolateral K transport.     

Ion movement through gramicidin A channels. Studies on the diffusion-controlled association step

The permeability characteristics of gramicidin A channels are generally considered to reflect accurately the intrinsic properties of the channels themselves; i.e., the aqueous convergence regions are assumed to be negligible barriers for ion movement through the channels. The validity of this assumption has been examined by an analysis of gramicidin A single-channel current-voltage characteristics up to very high potentials (500 mV). At low permeant ion concentrations the currents approach a voltage-independent limiting value, whose magnitude is proportional to the permeant ion concentration. The magnitude of this current is decreased by experimental maneuvers that decrease the aqueous diffusion coefficient of the ions. It is concluded that the magnitude of this limiting current is determined by the diffusive ion movement through the aqueous convergence regions up to the channel entrance. It is further shown that the small-signal (ohmic) permeability properties also reflect the existence of the aqueous diffusion limitation. These results have considerable consequences for the construction of kinetic models for ion movement through gramicidin A channels. It is shown that the simple two-site-three-barrier model commonly used to interpret gramicidin A permeability data may lead to erroneous conclusions, as biionic potentials will be concentration dependent even when the channel is occupied by at most one ion. The aqueous diffusion limitation must be considered explicitly in the analysis of gramicidin A permeability characteristics. Some implications for understanding the properties of ion-conducting channels in biological membranes will be considered.     

Cooperative phenomena in the membrane potential of parathyroid cells induced by divalent cations

Membrane potentials of mouse parathyroid cells were measured by means of the intracellular microelectrode method. The membrane potential in external Krebs solution containing 2.5 mM of Ca++ was -23.6 +/- 0.4 mV (mean +/- standard error of mean). The low concentration of Ca++ (1.0 mM) caused hyperpolarization of the membrane potential to -61.7 +/- 0.8 mV. The membrane potential was proportional to the logarithm of the concentration of K ion in the solution of low Ca ion. The concentration of external Na+, C1- and HPO4-- had no effect on the membrane potential. The sigmoidal transition of membrane potentials was induced by the change of Ca ion concentration in the range from 2.5 to 1.0 mM. The change of the membrane potentials in low Ca ion is originated from increase in potassium permeability of the cell membrane. The similar sigmoidal changes of the membrane potentials were observed in the solution containing 4 to 3 mM of Sr ion. The Mg and Ba ion showed smaller effect on the membrane potential. The Goldman equation was extended to divalent ions. Appling the extended membrane potential equation, ratios of the permeability coefficients were obtained as follows: PK/PCa = 0.067 for 2.5 mM Ca++, 0.33 for 1.0 mM Ca++; PK/PSr = 0.08 for 4 mM Sr++ and 0.4 for 3 mM Sr++; PK/PMg = 0.5; PK/PBa = 0.67 for all range of concentration. The Hill constants of Sr ion and Ca ion were 20; the relationship between Sr ion and Ca ion was competitive. The Hill constants of Mg and Ba ion were 1 each. The Hill constant of Ca ion was depend of the temperature; nmax = 20 at 36 degrees C, n = 9 at 27 degrees C, n = 2 at 22 degrees C. The enthalpy of Ca-binding reaction was obtained from the Van't Hoff plot as 0.58 kcal. The activation energies of the K+ permeability increase were obtained from the Arrhenius plots as 3.3 kcal and 4 kcal. The difference, 0.7 kcal, corresponds to the enthalpy change of this reaction, of which value is close to that of the Ca-binding reaction.     

Enhancement by tetraphenylboron of the interaction of the 1-methyl-4-phenylpyridinium ion (MPP+) with mitochondria

Inhibition of mitochondrial energy production by MPP+ may be the key step in chemically-induced Parkinson's disease. Tetraphenylboron (TPB-) markedly enhances the effect of MPP+. Inhibition of respiration and uptake of MPP+ are accelerated, the former by up to two orders of magnitude. TPB increases the final concentration of MPP+ in the matrix by 2-3 fold, insufficient to explain the rapid inhibition of respiration. TPB- lowers the membrane surface potential by only about 20%, but increases the partitioning of MPP+ into organic solvent by one order of magnitude. TPB- also enhances the effect of MPP+ on inverted membranes, reducing the I50 by an order of magnitude. We suggest that TPB- acts by ion pairing with MPP+ to facilitate penetration into mitochondria as well as access to a hydrophobic inhibition site on NADH dehydrogenase.     

On the block of outward potassium current in rabbit Schwann cells by internal sodium ions.

Currents through delayed rectifier-type K+ channels in Schwann cells cultured from rabbit sciatic nerve were studied with patch-clamp techniques. When the internal and external solutions contained physiological concentrations of sodium, the amplitude of these outward currents declined as the cell was depolarized to potentials above about +40 mV, despite the increased driving force. This reduction in the amplitude of outward K+ currents was observed in many cells before the subtraction of leakage currents; it was also observed for ensemble currents recorded in outside-out patches. It was therefore not the result of a leak-subtraction artefact nor of inadequate voltage-clamp control. Several lines of evidence also suggested that it was not the result of the extracellular accumulation of K+. By contrast, when the Na+ ion concentration of the internal solution was nominally zero, the reduction in the amplitude of outward K+ currents at positive membrane potentials was not observed. The apparent amplitude of single-channel currents through two types of K+ channel was reduced by 30 mM internal Na+, apparently as the result of a rapid 'flickery' block. The results suggest that channel block by internal Na+ is largely responsible for the negative slope conductance seen in current-voltage plots of whole-cell K+ currents at positive membrane potentials. In addition, our analysis of single-channel currents suggests that the current-voltage curve for a delayed rectifier channel in rabbit Schwann cells (in the absence of internal Na+) is roughly linear with internal and external K+ concentrations of 140 mM and 5.6 mM, respectively.     

Measurement of diffusion potentials in liposomes. Origin and properties of the threshold level in the oxonol VI response

A model is presented for the response of the membrane potential probe oxonol VI on diffusion potentials in liposomes. In this model the dependence of the probe response on the initial ion gradient is explained in terms of internal volume, internal ion concentration, membrane capacity and initial membrane potential. It is found that in the presence of an initial membrane potential (positive outside) there is a threshold value of the ion gradient needed for a probe response, which increases when the internal volume or the internal ion concentration decrease. The model is confirmed by experiments with liposomes of different sizes and internal KCl concentrations, prepared from asolectin or lipids isolated from the thermophilic cyanobacterium Synechococcus 6716. The significance of the model for threshold values observed in other energy-dependent phenomena is discussed.     

POTENTIAL,IMPEDANCE, AND RECTIFICATION IN MEMBRANES

Impedance and potential measurements have been made on a number of artificial membranes. Impedance changes were determined as functions of current and of the composition of the environmental solutions. It was shown that rectification is present in asymmetrical systems and that it increases with the membrane potential. The behavior in pairs of solutions of the same salt at different concentrations has formed the basis for the studies although a few experiments with different salts at the same concentrations gave results consistent with the conclusions drawn. A theoretical picture has been presented based on the use of the general kinetic equations for ion motion under the influence of diffusion and electrical forces and on a consideration of possible membrane structures. The equations have been solved for two very simple cases; one based on the assumption of microscopic electroneutrality, and the other on the assumption of a constant electric field. The latter was found to give better results than the former in interpreting the data on potentials and rectification, showing agreement, however, of the right order of magnitude only. Although the indications are that a careful treatment of boundary conditions may result in better agreement with experiment, no attempt has been made to carry this through since the data now available are not sufficiently complete or reproducible. Applications of the second theoretical case to the squid giant axon have been made showing qualitative agreement with the rectification properties and very good agreement with the membrane potential data.     

The effect of multivalent cations on the membrane potential of the Ehrlich ascites tumor cell

The effect of di- and trivalent cations on the membrane potential of the Ehrlich ascites tumor cell has been investigated using micro-electrode techniques. In solutions free of multivalent cations the average membrane potential for 46 cells was 8.3 ± 0.5 mv (SE). However, the potentials were not stable and decayed with a half-time of about six seconds. Addition of Ca⁺⁺ decreased the rate of decay and concomitantly increased the membrane potential. The magnitude of these effects was a function of the Ca⁺⁺ concentration. At the optimum concentration (2 mM ), the half-time of decay was increased to 12 seconds and the membrane potential was raised to 17.8 ± 1.7 mv (SE). The related alkaline-earth cations, Sr⁺⁺, Ba⁺⁺ and Mg⁺⁺ had similar effects on both the stability and magnitude of the membrane potential. The effect of La⁺⁺⁺, which was qualitatively similar to that of the divalent cations, was also concentration dependent. However, 100-fold lower concentrations were adequate to achieve comparable effects. Moreover, membrane potentials were stable for up to ten minutes in La⁺⁺⁺-containing solutions. Variations in intracellular Cl^? content induced by temperature changes were paralleled by changes in membrane potentials. However, the potentials were not those expected for a simple Cl^? electrode.     

Steady-state current flow through gap junctions. Effects on intracellular ion concentrations and fluid movement.

Double voltage clamp studies were performed on gap junctions contained in septal membranes of the earthworm median giant axon. The gap junctions exhibited no conductance changes in response to voltages imposed across either the septal membrane or the plasma membrane. However, the trans-septal current displayed a slow (10 s) relaxation in response to transjunctional voltage steps. The experimental evidence suggests that this relaxation is a polarization of the septum due to local accumulation/depletion of permeant ions. A theoretical analysis of this observation suggests that the applied electric field causes accumulation of impermeant anions on one side of the junction and depletion on the other, which leads to a change in concentration of permeant ions to maintain macroscopic electroneutrality. The change in concentration of permeant ions generates a transjunctional equilibrium potential that opposes junctional current flow. These results indicate that currents flowing through gap junctions can have an influence on the distribution of intracellular ions. Moreover, the theoretical analysis suggests that such currents will be accompanied by significant intracellular and intercellular water flow.