Currents related to the sodium-calcium exchange in squid giant axon

We report the measurement of a Cai-activated membrane current in dialyzed squid axon under membrane potential control with a low-noise voltage clamp. Two additional voltage clamp systems were used to clamp the external guard plates to a value that prevented the establishment of potential differences between the central and lateral compartments of the experimental chamber. This reduced to a minimum the contribution of membrane currents generated at the axon ends to the current measured in the central pool. This latter current was reduced by using internal and external solutions designed to diminish at a maximum membrane currents, while maintaining the conditions for optimal operation of the Na+-Ca2+ exchange. Thus TTX was used to block Na+ channels and prolonged exposure to K+-free media was used to eliminate K+ conductance. The maximum concentration of external sodium was 200 mM. The addition of fixed amounts of free ionic calcium to the internal solution, activated a current whose direction and magnitude depended on the thermodynamic driving forces for calcium and sodium. When the experimental conditions determined an inwardly directed current, this depended on the presence of external sodium, and lithium could not substitute for it. The Cai-activated current, was blocked by external lanthanum and showed a high temperature dependence. In experiments in which the reversal potential was measured for the Cai-activated current, it was found to be strikingly similar to the value calculated according to Er = 3ENa - 2ECa, suggesting that the current is the electrical manifestation of the Na+-Ca2+ exchange operating with an stoichiometry of 3Na+:1Ca2+.     

Potassium-ion conduction noise in squid axon membrane.

Spectral analysis (1-1000 Hz) of spontaneous fluctuations of potential and current in small areas of squid (Loligo pealei) axon shows two forms of noise: f-1 noise occurs in both excitable and inexcitable axons with an intensity which depends upon the driving force for potassium ions. The other noise has a spectral form corresponding to a relaxation process, i.e. its asymptotic behavior at low frequencies is constant, and at high frequencies it declines with a slope of -2. This latter noise occurs only in excitable axons and was identified in spectra by (1) its disappearance after reduction of K+ current by internal perfusion with solutions containing tetraethylammonium (TEA+), Cs+ or reduced [Ki+] and (2) its insensitivity to block of Na+ conduction and active transport. The transition frequency of relaxation spectra are also voltage and temperature dependent and relate to the kinetics of K+-conduction in the Hodgkin-Huxley formulation. These data strongly suggest that the relaxation noise component arises from the kinetic properties of K+ channels. The f-1 noise is attributed to restricted diffusion in conducting K+ channels and/or leakage pathways. In addition, an induced K+ conduction noise associated with the binding of TEA+ and triethyldecylammonium ion to membrane sites is described. Measurement of the induced noise may provide an alternative means of characterizing the kinetics of interaction of these molecules with the membrane and also suggests that these and other pharmacological agents may not be useful in identifying noise components related to the sodium conduction mechanism which, in these experiments, appears to be much lower in intensity than either the normal K conduction or induced noise components.     

Transport of Na+ inside the giant axon of squid

The transport mechanism of Na ions within the nerve cell was studied by measuring the radioactivity distribution profile of 22Na that had been intracellularly injected into the giant axon. Specifically, we tested whether or not the movement of Na ions is coupled with the process of "fast axonal transport." Results of our measurements indicate that the intracellular transport of Na+ and the fast axonal transport are two independent processes. Very few Na ions are irreversibly sequestered into the axoplasmic vesicles involved in axonal transport. The movement of Na+ inside the axon can be modeled by a one-dimension diffusion. The effective diffusion coefficient of the intracellular Na+ was determined in this study.     

Polyamines as gating molecules of inward-rectifier K+ channels.

Inward-rectifier potassium (Kir) channels comprise a superfamily of potassium (K+) channels with unique structural and functional properties. Expressed in virtually all types of cells they are responsible for setting the resting membrane potential, controlling the excitation threshold and secreting K+ ions. All Kir channels present an inwardly rectifying current-voltage relation, meaning that at any given driving force the inward flow of K+ ions exceeds the outward flow for the opposite driving force. This inward-rectification is due to a voltage-dependent block of the channel pore by intracellular polyamines and magnesium. The present molecular-biophysical understanding of inward-rectification and its physiological consequences is the topic of this review. In addition to polyamines, Kir channels are gated by intracellular protons, G-proteins, ATP and phospholipids depending on the respective Kir subfamily as detailed in the following review articles.     

Charge-shift probes of membrane potential. Characterization of aminostyrylpyridinium dyes on the squid giant axon.

The characteristics of transmittance and fluorescence changes of 4-(p-aminostyryl)-1-pyridinium dyes in response to voltage-clamp pulses on the squid giant axon were examined. A zwitterionic styryl dye displays transmittance and excitation spectra on the voltage-clamped squid axon with shapes similar to those previously measured on a model membrane system and consistent with a postulated electrochromic mechanism. The speed of the transmittance response is faster than 1.2 microseconds. The size of the fluorescence change is a factor of 40 lower than on the model membrane; this diminution can be rationalized in terms of the background fluorescence from Schwann cells and the nonoptimal geometric arrangement of the axon membrane. When the emission spectrum is dissected from the excitation response, a nonelectrochromic component is found. This component might result from molecular motion during the excited state lifetime. A positively charged dye permeates the axon membrane and displays complex response waveforms dependent on the method of application and the axon holding potential. This contrasts markedly with model membrane results where the behavior of the cationic and zwitterionic dyes were indistinguishable.     

Axonal excitability revisited

The original papers of Hodgkin and Huxley (J. Physiol. 116 (1952a) 449, J. Physiol. 116 (1952b) 473, J. Physiol. 116 (1952c) 497, J. Physiol. 117 (1952d) 500) have provided a benchmark in our understanding of cellular excitability. Not surprisingly, their model of the membrane action potential (AP) requires revisions even for the squid giant axon, the preparation for which it was originally formulated. The mechanisms they proposed for the voltage-gated potassium and sodium ion currents, IK, and INa, respectively, have been superceded by more recent formulations that more accurately describe voltage-clamp measurements of these components. Moreover, the current-voltage relation for IK has a non-linear dependence upon driving force that is well described by the Goldman-Hodgkin-Katz (GHK) relation, rather than the linear dependence on driving force found by Hodgkin and Huxley. Furthermore, accumulation of potassium ions in the extracellular space adjacent to the axolemma appears to be significant even during a single AP. This paper describes the influence of these various modifications in their model on the mathematically reconstructed AP. The GHK and K+ accumulation results alter the shape of the AP, whereas the modifications in IK and INa gating have surprisingly little effect. Perhaps the most significant change in their model concerns the amplitude of INa, which they appear to have overestimated by a factor of two. This modification together with the GHK and the K+ accumulation results largely remove the discrepancies between membrane excitability of the squid giant axon and the Hodgkin and Huxley (J. Physiol. 117 (1952d) 500) model previously described (Clay, J. Neurophysiol. 80 (1998) 903).     

A comparative study of the effects of tetrodotoxin and the removal of external Na+ on the resting potential: Evidence of separate pathways for the resting and excitable Na currents in squid axon

To investigate whether the Na permeability of the resting membrane is determined predominantly by the excitable Na channel, we examined the effects of tetrodotoxin (TTX) and the complete removal of external Na+ on the resting potential. In the intact squid axon bathed in K-free artificial seawater, both TTX and the removal of Na+ produced small hyperpolarizations. The effect of Na removal, however, was larger than that of TTX. In the perfused squid axon, the hyperpolarization produced by the removal of external Na+ was greatly enhanced when the internal K concentration ([K+]i) was reduced. The effect of TTX, on the other hand, was not sensitive to the [K+]i or to the membrane potential. For [K+]i = 50 mM and [K+]o = 0, the average hyperpolarization produced by TTX was 1.2 mV, while the hyperpolarization produced by Na removal was approximately 21 mV. The difference between these two effects suggests that the majority of the resting Na current passes through pathways other than the excitable Na channel.     

Cation-coupled chloride influx in squid axon. Role of potassium and stoichiometry of the transport process

Evidence is presented showing that the Cl- uptake process in the squid giant axon is tightly coupled not only to Na+ uptake but also to K+ uptake. Thus, removal of external K+ causes both Cl- and Na+ influxes to be reduced, particularly when [Cl-]i is low, that is, under conditions previously shown to be optimal for Cl-/Na+-coupled influx. In addition, there exists a ouabain-insensitive K+ influx, which depends on the presence of external Cl- and Na+, is inversely proportional to [Cl-]i, and is blocked by furosemide/bumetanide. Finally, this ouabain-insensitive K+ influx appears to require the presence of cellular ATP. The stoichiometry of the coupled transport process was measured using a double-labeling technique combining in the same axon either 36Cl and 42K or 22Na and 42K. The stoichiometry of the flux changes occurring in response either to varying [Cl-]i between 150 and 0 mM or to treatment with 0.3 mM furosemide is, in both cases, approximately 3:2:1 (Cl-/Na+/K+). Although these fluxes require ATP, they are not inhibited by 3 mM vanadate. In addition, treatment with DIDS has no effect on the fluxes.     

Characteristics of the Na+/K+-ATPase from Torpedo californica expressed in Xenopus oocytes: a combination of tracer flux measurements with electrophysiological measurements

The Na+/K+-ATPase from electroplax of Torpedo californica was incorporated into the plasma membrane of Xenopus oocytes by microinjection of mRNA coding for the alpha- and beta-subunit of the enzyme; the mRNAs were obtained by in vitro translation of cloned cDNAs (Noguchi et al. (1988) FEBS Lett. 225, 27-32). (1) Measurements of ouabain-sensitive membrane current revealed that the Na+/K+-ATPase of Torpedo is less sensitive to ouabain than the endogenous enzyme. (2) The ouabain-sensitive membrane currents in mRNA-injected oocytes exhibit similar voltage dependence as the currents generated by the endogenous ATPase of Xenopus oocytes; in particular, the current-voltage relation exhibits a maximum and a negative slope at potentials more positive than +20 mV. (3) A maximum can also be detected if the rate of 22Na+ efflux is determined under different voltage-clamp conditions. If membrane current and rate of Na+2 efflux are determined simultaneously, a voltage-independent ratio between current and flux is obtained suggesting voltage-independent Na+-K+ stoichiometry. The data are compatible with a 3Na+-2K+ stoichiometry.     

Transport of K+ by Na(+)-Ca2+, K+ exchanger in isolated rods of lizard retina.

Transport of K+ by the photoreceptor Na(+)-Ca2+, K+ exchanger was investigated in isolated rod outer segments (OS) by recording membrane current under whole-cell voltage-clamp conditions. Known amounts of K+ were imported in the OS through the Ca(2+)-activated K+ channels while perfusing with high extracellular concentration of K+, [K+]o. These channels were detected in the recordings from the OS, which probably retained a small portion of the rest of the cell. The activation of forward exchange (Na+ imported per Ca2+ and K+ extruded) by intracellular K+, Ki+, was described by first-order kinetics with a Michaelis constant, Kapp(Ki+), of about 2 mM and a maximal current, Imax, of about -60 pA. [Na+]i larger than 100 mM had little effect on Kapp(Ki+) and Imax, indicating that Nai+ did not compete with Ki+ for exchange sites under physiological conditions, and that Na+ release at the exchanger intracellular side was not a rate-limiting step for the exchange process. Exchanger stoichiometry resulted in one K+ ion extruded per one positive charge imported. Exchange current was detected only if Ca2+ and K+ were present on the same membrane side, and Na+ was simultaneously present on the opposite side. Nonelectrogenic modes of ion exchange were tested taking advantage of the hindered diffusion found for Cai2+ and Ki+. Experiments were carried out so that the occurrence of a putative nonelectrogenic ion exchange, supposedly induced by the preapplication of certain extracellular ion(s), would have resulted in the transient presence of both Cai2+ and Ki+. The lack of electrogenic forward exchange in a subsequent switch to high Nao+, excluded the presence of previous nonelectrogenic transport.     

Simultaneous measurement of changes in current and tracer flux in voltage-clamped squid giant axon.

A method is described for the simultaneous measurement of changes in membrane current and unidirectional radiotracer flux in internally dialyzed voltage-clamped squid giant axons. The small currents that are produced by electrogenic transport processes or steady-state ionic currents can be resolved using this method. Because the use of grounded guard electrodes in the end pools is not, by itself, an adequate means of eliminating end-effects, two ancillary end pool clamp circuits are described to eliminate extraneous current flow from the ends of the axon. The end pool voltage-clamp circuits serve to minimize net current flow between the end pools and center pool, and employ stable, low-impedance calomel electrodes to monitor the potentials of the end and center pools. The adequacy of the method is demonstrated by experiments in which unidirectional 22Na efflux and current, flowing through tetrodotoxin (TTX)-sensitive Na channels into Na-free seawater, under K-free conditions, are shown to be equal. The equality of unidirectional TTX-sensitive flux and current is maintained over the entire range of membrane potentials examined (-60 to +20 mV). The method has been applied to a series of experiments in which the voltage dependence and stoichiometry of the Na/K pump have been measured (Rakowski et al., 1989), and can be applied in general to the simultaneous measurement of changes in current and flux of other electrogenic transport processes, and of currents through ionic channels that open under steady-state conditions.     

Motional characteristics of K+ and Na+ in intact and sucrose-permeabilized rat lymphocytes.

Most, if not all, cells maintain an unequal distribution of Na+ and K+ against their environment. These two monovalent ions are in constant exchange between the cell and the extracellular space since both ions have proved to be permeable through the cell membrane. The distribution of Na+ and K+ in intact and "sucrose-permeabilized" rat lymphocytes were studied ("sucrose-permeabilization" means homogenization in isotonic sucrose solution). Both the intact and the permeabilized lymphocytes were incubated in Hanks' solution and then transferred into K+, Na(+)-free isotonic sucrose solution. Alternatively, the cells were incubated only in the sucrose solution or in Hanks' solution. The Na+ and K+ content of the cells were determined at the conclusion of each period of incubation in the same or different medium. We found that K+ did not equilibrate under any conditions in intact lymphocytes but Na+ responded to changes of the incubation media. In the permeabilized cells Na+ freely equilibrated with the extracellular medium while K+ did not, although its concentration decreased compared to that of intact cells.     

An analytical model of ionic movements in airway epithelial cells.

A new mathematical model of ion movements in airway epithelia is presented, which allows predictions of ion fluxes, membrane potentials and ion concentrations. The model includes sodium and chloride channels in the apical membrane, a Na/K pump and a cotransport system for Cl- with stoichiometry Na+:K+:2Cl- in the basolateral membrane. Potassium channels in the basolateral membrane are used to regulate cell volume. Membrane potentials, ion fluxes and intracellular ion concentration are calculated as functions of apical ion permeabilities, the maximum pump current and the cotransport parameters. The major predictions of the model are: (1) Cl- concentration in the cell is determined entirely by the intracellular concentration of negatively charged impermeable ions and the osmotic conditions; (2) changes in intracellular Na+ and K+ concentrations are inversely related; (3) cotransport provides the major driving force for Cl- flux, increases intracellular Na+ concentration, decreases intracellular K+ concentration and hyperpolarizes the cell interior; (4) the maximum rate of the Na/K pump, by contrast, has little effect on Na+ or Cl- transepithelial fluxes and a much less pronounced effect on cell membrane polarization; (5) an increase in apical Na+ permeability causes an increase in intracellular Na+ concentration and a significant increase in Na+ flux; (6) an increase in apical Cl- permeability decreases intracellular Na+ concentration and Na+ flux; (7) assuming Na+ and Cl- permeabilities equal to those measured in human nasal epithelia, the model predicts that under short circuit conditions, Na+ absorption is much higher than Cl- secretion, in agreement with experimental measurements.     

Kinetics of Na+-ATPase: influence of Na+ and K+ on substrate binding and hydrolysis

An analysis of the influence of Na+ and K+ on the kinetics of Na+-ATPase in broken membrane preparations from bovine brain is presented with particular emphasis on the effect of the cations on the binding and splitting of the substrate MgATP and on the derivation of a detailed kinetic model for that interaction. It was found that the enzyme in the absence of Na+ and K+, but in the presence of 7 mM free Mg2+, at pH 7.4 (37 degrees C) exhibits an ouabain-sensitive ATPase activity. The simplest model quantitatively compatible with all the data involves two different, interconvertible (conformational) forms of the enzyme, E1 and E'1, with the following properties: The E1 form does not bind K+ but has three independent and equivalent high-affinity sites (Kd = 5.6 mM) for Na+. It binds and hydrolyzes substrate only when two or three sodium ions are bound to it. The E'1 form binds and hydrolyzes the substrate only in the absence of monovalent cations. It is competitively inhibited by K+ (Kd = 0.23 mM), and this inhibition is further enhanced by binding of Na+ to the K+-bound form at two equivalent, independent sites (Kd = 12 mM). It is suggested that the E'1 form is the Mg2+-induced conformational state of the enzyme observed by others, which differs from the usually encountered E1 and E2 forms. The model allows the calculation of ATP-binding and ADP-releasing rate constants for the E1-form for later comparison with corresponding rate constants for the (na+ + K+)-ATPase (following paper).     

Sodium ions as blocking agents and charge carriers in the potassium channel of the squid giant axon

Instantaneous K channel current-voltage (I-V) relations were determined by using internally perfused squid axons. When K was the only internal cation, the I-V relation was linear for outward currents at membrane potentials up to +240 mV inside. With 25-200 mM Na plus 300 mM K in the internal solution, an N-shaped I-V curve was seen. Voltage-dependent blocking of the K channels by Na produces a region of negative slope in the I-V plot (F. Bezanilla and C. M. Armstrong. 1972. J. Gen Physiol, 60: 588). At higher voltages (greater than or equal to 160 mV) we observed a second region of increasing current and a decrease in the fraction of the K conductance blocked by Na. Internal tetraethylammonium (TEA) ions blocked currents over the whole voltage range. In a second series of experiments with K-free, Na-containing internal solutions, the I-V curve turned sharply upward about +160 mV. The current at high voltages increased with increasing internal Na concentration was largely blocked by internal TEA. These data suggest that the K channel becomes substantially more permeable to Na at high voltages. This change is apparently responsible for the relief, at high transmembrane voltages, of the blocking effect seen in axons perfused with Na plus K mixtures. Each time a Na ion passed through, vacating the blocking site, the channel would transiently allow K ions to pass through freely.     

Symmetry and asymmetry of permeation through toxin-modified Na+ channels.

Single Na+ channels from rat skeletal muscle were inserted into planar lipid bilayers in the presence of either 200 nM batrachotoxin (BTX) or 50 microM veratridine (VT). These toxins, in addition to their ability to shift inactivation of voltage-gated Na+ channels, may be used as probes of ion conduction in these channels. Channels modified by either of the toxins have qualitatively similar selectivity for the alkali cations (Na+ approximately Li+ greater than K+ greater than Rb+ greater than Cs+). Biionic reversal potentials, for example, were concentration independent for all ions studied. Na+/K+ and Na+/Rb+ reversal potentials, however, were dependent on the orientation of the ionic species with respect to the intra- or extracellular face of the channel, whereas Na+/Li+ biionic reversal potentials were not orientation dependent. A simple, four-barrier, three-well, single-ion occupancy model was used to generate current-voltage relationships similar to those observed in symmetrical solutions of Na, K, or Li ions. The barrier profiles for Na and Li ions were symmetric, whereas that for K ions was asymmetric. This suggests the barrier to ion permeation for K ions may be different than that for Na and Li ions. With this model, these hypothetical energy barrier profiles could predict the orientation-dependent reversal potentials observed for Na+/K+ and Na+/Rb+. The energy barrier profiles, however, were not capable of describing biionic Na/Li ion permeation. Together these results support the hypothesis that Na ions have a different rate determining step for ion permeation than that of K and Rb ions.     

Sodium leak pathway and substrate binding order in the Na+-glucose cotransporter.

The Na+-glucose cotransporter (SGLT1) expressed in Xenopus laevis oocytes was shown to generate a phlorizin-sensitive sodium leak in the absence of sugars. Using the current model for SGLT1, where the sodium leak was presumed to occur after two sodium ions are bound to the free carrier before glucose binding, a characteristic concentration constant (Kc) was introduced to describe the relative importance of the sodium leak versus Na+-glucose cotransport currents. Kc represents the glucose concentration at which the Na+-glucose cotransport current is equal to the sodium leak. As both the sodium leak and the Na+-glucose cotransport current are predicted to occur after the binding of two sodium ions, the model predicted that Kc should be sodium-independent. However, by using a two-microelectrode voltage-clamp technique, the observed Kc was shown to depend strongly on the external sodium concentration ([Na+]o): it was four times higher at 5 mM [Na+]o than at 20 mM [Na+]o. In addition, the magnitude of the sodium leak varied as a function of [Na+]o in a Michaelian fashion, and the sodium affinity constant for the sodium leak was 2-4 times lower than that for cotransport in the presence of low external glucose concentrations (50 or 100 microM), whereas the current model predicted a sigmoidal sodium dependence of the sodium leak and identical sodium affinities for the sodium leak and the Na+-glucose cotransport. These observations indicate that the sodium leak occurs after one sodium ion is associated with the carrier and agree with predictions from a model with the binding order sodium-glucose-sodium. This conclusion was also supported by experiments performed where protons replaced Na+ as a "driving cation."     

Determining K+ channel activation curves from K+ channel currents

Potassium ion channels are generally believed to have current-voltage (IV) relations which are linearly related to driving force ( V - E(K)), where V is membrane potential and E(K) is the potassium ion equilibrium potential. Consequently, activation curves for K+ channels have often been measured by normalizing voltage-clamp families of macroscopic K+ currents with (V - E(K)), where V is the potential of each successive step in the voltage clamp sequence. However, the IV relation for many types of K+ channels actually has a non-linear dependence upon driving force which is well described by the Goldman-Hodgkin-Katz relation. When the GHK dependence on (V - E(K)) is used in the normalization procedure, a very different voltage dependence of the activation curve is obtained which may more accurately reflect this feature of channel gating. Novel insights into the voltage dependence of the rapidly inactivating I(A) channels Kv1.4 and Kv4.2 have been obtained when this procedure was applied to recently published results.     

Secondary structure of heart sarcolemmal proteins during interaction with metallic cofactors of (Na+ + K+)-ATPase

he secondary structure of membrane proteins was studied in rat heart sarcolemma by circular dichroism under conditions of interaction with metallic cofactors of (Na+ + K+)-ATPase at their optimal concentrations and under metal free conditions. Approximately 80 per cent of polypeptide chains in the membrane were organized in alpha-helical structure. Upon stabilizing the E1. Na conformation state of (Na+ + K+)-ATPase by Mg2+ and Na+ ions, only a slight increase in the protein alpha-helix content (to 83 per cent) was observed. On the other hand, simultaneous addition of Mg2+ and K+ ions resulting in the establishment of the E2 . K conformational state of the enzyme, was followed by a significant decrease in the membrane protein helicity (to 72 per cent). The presence of all three metallic cofactors of (Na+ + K+)-ATPase did not induce any further conformational change in sarcolemmal proteins as compared to the state induced by the interaction with Mg2+ and Na+ ions. In contrast to results obtained with Mg2+ ions, the interaction of Na+ with the sarcolemmal membranes led to a considerable decrease and that of K+ to a significant increase in alpha-helicity of the membrane polypeptides. These findings have confirmed the regulatory role of magnesium in transition of the conformational state from E1 to E2 in the reaction sequence of (Na+ + K+)-ATPase. Specific modulation by Na+ and K+ of the helicity of sarcolemmal proteins in the presence of Mg2+ and in the absence of ATP might be considered as a preprint of conformational changes which will occur in the presence of ATP.