The Permeability of the Sodium Channel to Organic Cations in Myelinated Nerve

The relative permeability of sodium channels to 21 organic cations was studied in myelinated nerve fibers. Ionic currents under voltage-clamp conditions were measured in sodium-free solutions containing the test cation. The measured reversal potential and the Goldman equation were used to calculate relative permeabilities. The permeability sequence was: sodium ≈ hydroxylamine > hydrazine > ammonium ≈ formamidine ≈ guanidine ≈ hydroxyguanidine > aminoguanididine >> methylamine. The cations of the following compounds were not measurably permeant: N-methylhydroxylamine, methylhydrazine, methylamine, methylguanidine, acetamidine, dimethylamine, tetramethylammonium, tetraethylammonium, ethanolamine, choline, tris(hydroxymethyl)amino methane, imidazole, biguanide, and triaminoguanidine. Thus methyl and methylene groups render cations impermeant. The results can be explained on geometrical grounds by assuming that the sodium channel is an oxygen-lined pore about 3 A by 5 A in cross-section. One pair of oxygens is assumed to be an ionized carboxylic acid. Methyl and amino groups are wider than the 3 A width of the channel. Nevertheless, cations containing amino groups can slide through the channel by making hydrogen bonds to the oxygens. However, methyl groups, being unable to form hydrogen bonds, are too wide to pass through.     

Cation selectivity of acetylcholine-activated ionic channel of frog endplate

Ionic selectivity of the acetylcholine-activated ionic channel of frog endplate membranes to various organic cations has been studied. The ratio of test cation permeability (PX) to sodium permeability (PNa) was estimated by two methods, one based on the measurements in test cation solutions of the amplitude of transient depolarization induced by iontophoretic application of acetylcholine, and the other on the measurements of the reversal potential for the membrane current induced by iontophoretic application of acetylcholine under voltage-clamp conditions. The endplate channel is relatively nonselective to various test cations. The permeabilities relative to Na are ammonium (1.71), formamidine (1.49), methylamine (1.39), hydrazine (1.35), and Li (0.76), as measured from the reversal potential for acetylcholine currents, and guanidine (0.74), aminoguanidine (0.20), methylguanidine (0), and choline (0) as measured from the amplitude of acetylcholine potential. Methylguanidine and aminoguanidine block the endplate channel with the apparent dissociation constants of 0.5 and 15 mM, respectively. Based on these data, the dimensions of selectivity filter of acetylcholine-activated channel appear to be slightly larger than those of the sodium channel of frog nodes and smaller than those of the epithelial membrane of gallbladder of frogs and rabbits.     

Potassium Channels in Myelinated Nerve : Selective permeability to small cations

The permeability of K channels to various cations is studied in myelinated nerve. Ionic currents under voltage clamp are measured in Ringer solution containing tetrodotoxin and a high concentration of the test ion. Reversal potentials for current in K channels are determined and used with the Goldman-Hodgkin-Katz equation to calculate relative permeabilities. The ratios P_Tl:P_K:P_Rb:P_NHNH4 are 2.3:1.00:0.92:0.13. No other ions are found to be measurably permeant including Li⁺, Na⁺, Cs⁺, methylamine, guanidine, hydrazine, or hydroxylamine. The ratio P_Na/P_K is less than 0.01. Potassium conductance is depressed at pH values below 5.0. Leakage conductance is higher in K, Rb, Cs, NH₄, and Tl Ringer than in Na Ringer, but the selectivity sequence probably is not the same as for K channels. The hypothesis is offered that the narrowest part of the K channel is a circle of oxygen atoms about 3 Å in diameter with low electrostatic field strength.     

Selectivity of sodium channels in denervated tonic muscle fibre membrane of the frog

Ionic selectivity of sodium channels was examined under voltage clamp conditions in normal and denervated twitch fibres and denervated tonic fibres isolated from m. ileofibularis of the frog (R. temporaria). Membrane currents were recorded by means of the Hille-Campbell vaseline-gap voltage clamp method from muscle fibre segments exposed to a potassium-free artificial internal solution. Permeability ratio (PS/PNa) were determined from changes in the reversal potential after replacing all Na ions in the solution bathing the voltage clamped external membrane area with sodium substituting ions (S). The permeability sequence was: Na+ greater than Li+ greater than NH4+ greater than K+. No inward currents were observed for Ca2+. The permeability ratios were as follows. Denervated tonic fibres: 1:0.88:0.23:0.012; control twitch fibres: 1:0.94:0.22:0.076; denervated twitch fibres: 1:0.91:0.14:0.082. The permeability to Li+ ions deviates from independence to a greater extent in tonic than in phasic fibres. Our results are consistent with the Hille model of sodium channel selectivity, and they support the hypothesis that sodium channels formed in denervated tonic muscle fibres of the frog are of the same genetic origin as Na channels expressed under physiological conditions.     

Cation selectivity of the resting membrane of squid axon

Summary Permeability constant ratios among monovalent cations were studied in the resting membrane of a giant axon of a Pacific squid,Loligo opalescens, by observing the relationship between the membrane potential and the ion concentration.The average permeability ratios are: Tl, 1.8; K, 1.0; Rb, 0.72; Cs, 0.16; Na, <0.08; Li, <0.08. These permeability ratios suggest that neither valinomycin nor nonactin are adequate models for the sites producing the resting permeability in the axonal membrane.Cyclic polyetherbis(t-butyl cyclohexyl) 18-crown-6 does not increase the permeability ratioP _Cs/P _K except when applied at concentrations (5×10^–5 m) at which the surfactant properties of this molecule may become significant.     

Permeability of the sodium channel in Myxicola to organic cations

The relative permeability of sodium channels to organic cations was determined in the Myxicola giant axon. Ionic currents under potential control were measured in seawater and in sodium-free solutions containing the organic cation. The measured reversal potential and the Goldman equation were used to obtain the relative permeabilities. The permeability sequence was found to be: sodium greater than hydroxylamine greater than hydrazine greater than ammonium greater than guanidine greater than formamidine greater than aminoguanidine greater than methylamine. Measurements were also made on sodium and several of the organic cations at different concentrations. The relative permeabilities of the ions were found to be independent of concentration. Qualitatively, the permeability sequence for the Myxicola giant axon was similar to that of the frog node of Ranvier.     

The permeability of the endplate channel to organic cations in frog muscle

The relative permeability of endplate channels to many organic cations was determined by reversal-potential criteria. Endplate currents induced by iontophoretic "puffs" of acetylcholine were studied by a Vaseline gap, voltage clamp method in cut muscle fibers. Reversal potential changes were measured as the NaCl of the bathing medium was replaced by salts of organic cations, and permeability ratios relative to Na+ ions were calculated from the Goldman-Hodgkin-Katz equation. 40 small monovalent organic cations had permeability ratios larger than 0.1. The most permeant including NH4+, hydroxylamine, hydrazine, methylamine, guanidine, and several relatives of guanidine had permeability ratios in the range 1.3--2.0. However, even cations such as imidazole, choline, tris(hydroxymethyl)aminomethane, triethylamine, and glycine methylester were appreciably permeant with permeability ratios of 0.13--0.95. Four compounds with two charged nitrogen groups were also permeant. Molecular models of the permeant ions suggest that the smallest cross-section of the open pore must be at least as large as a square, 6.5 A x 6.5 A. Specific chemical factors seem to be less important than access or friction in determining the ionic selectivity of the endplate channel.     

Interactions of permeant cations with sodium channels of squid axon membranes.

To determine how the permeant cations interact with the sodium channel, the instantaneous current-voltage (I-V) relationship, conductance-ion concentration relationship, and cation selectivity of sodium channels were studied with internally perfused, voltage clamped squid giant axons in the presence of different permeant cations in the external solution. In Na-containing media, the instantaneous I-V curve was almost linear between +60 and -20 mV, but deviated from the linearity in the direction to decrease the current at more negative potentials. The linearity of instantaneous I-V curve extended to more negative potentials with lowering the external Ca concentration. The I-V curve in Li solution was almost the same as that in Na solution. The linearity of the I-V curve improved in NH4 solution exhibiting only saturation at -100 mV with no sign of further decrease in current at more negative potentials. Guanidine and formamidine further linearized the instantaneous I-V curve. The conductance of the sodium channels as measured from the tail current saturated at high concentrations of permeant cations. The apparent dissociation constants determined from the conductance-ion concentration curve at -60 mV were as follows: Na, 378 mM; Li, 247 mM; NH4, 174 mM; guanidine, 111 mM; formamidine, 103 mM. The ratio of the test cation permeability to the sodium permeability as measured from the reversal potentials of tail currents varied with the test cation concentration and/or the membrane potential. These observations are incompatible with the independence principle, and can be explained on the basis of the Eyring's rate theory. It is suggested that the slope of the instantaneous I-V curve is determined by the relative affinity of permeant cations and blocking ions (Ca) for the binding site in the sodium channel. The ionic selectivity of the channel depends on the energy barrier profile of the channel.     

The cation specificity of the potassium and gramicidin channels of muscle fiber membrane

Conductance ratios (Gi/Gk) and permeability ratios (Pi/Pk) for monovalent cations in frog muscle fibres have been defined under constant current conditions using a double sucrose gap method. Selectivity determined from potassium channel conductance is: K+ greater than Rb+ greater than Cs+ greater than greater than NH4+ greater than Na+ greater than Li+. In gramicidin channels both the permeability and conductance sequences are identical: NH4+ greater than Cs+ greater than Rb+ greater than K+ greater than Na+ greater than Li+. In isotonic K+-sulfate solution with one-sided addition of external [Tl+] (2.5 x 10(-3)-20 x 10(-3) M), differences in the conductance and permeability ratios for gramicidin channel were observed.     

Further analysis of counterion permeation through anion-selective glycine receptor channels

The functional role of ion channels, which allow counterion permeation, depends critically on their relative anion-cation relative selectivity. From whole-cell patch clamp reversal potential measurements under dilution potential conditions, we have already shown that anion-cation permeabilities of anion-selective wild-type (WT) and mutant (with larger pore diameter) glycine receptor (GlyR) channels in the presence of Li+, Na+ and Cs+ counterions, were inversely correlated with the equivalent hydration diameter of the counterion, with chloride-cation permeability increasing as counterion equivalent hydration diameter increased with respect to the channel minimum pore diameter. Corrected for liquid junction potentials (LJPs; using ion activities), the previous chloride-cation permeabilities for the alkali cations were 23.4 (Li+), 10.9 (Na+) and 5.0 (Cs+) for the smaller WT channel. Further analysis to incorporate an initial offset potential correction, to fully allow for slight differences between internal cell composition and external control salt solution, changed the above permeability ratios to 30.6 (Li+), 11.8 (Na+) and 5.0 (Cs+), adding enhanced support for the inverse correlation between anion-to-counterion permeability ratio and equivalent hydrated counterion diameter relative to channel pore diameter (erroneously ignoring LJPs reduces each permeability ratio to about 4). Also, new direct measurements of LJPs (for NaCl and LiCl salt dilutions) using a 3M KCl-agar reference salt bridge (with freshly-cut end for each solution composition change) have shown excellent agreement with calculated LJPs (using ion activities), validating calculated LJP values. We continue to suggest that counterion cations permeate with chloride ions as neutral pairs.     

The permeability of aconitine-modified sodium channels to univalent cations in myelinated nerve

1. Ionic currents through the sodium system of nodes of Ranvier treated with aconitine were measured under voltage clamp conditions in a Ringer solution containing Na+ or an equimolar amount of various test cations. 2. Average shifts in reversal potentials in nodes of Ranvier treated with aconitine with NH4+, Li+, K+, Rb+, Cs+ in place of Na+ in the Ringer solution are 7.6, --6.8, --25.0, --41.0 and --51.5 mV at 13--14degrees C. At 20--22degrees C the sequence of shifts is 7.5, --5.5, --13.5, --29.0 and --41.0 mV. For Tl+ the the average reversal potential shift is +3 mV at 20--22degrees C. 3. The slope of the instantaneous current-voltage relation at the reversal potential in nodes treated with aconitine changed with the various cations tested. The ratios are NH4+/Na+/K+/Rb+/Cs+/Li+ = 1.14 : 1.0 : 0.80 :0.67 :0.53 : 0.53. 4. Using a three energy barrier model some of the parameters for the aconitine-modified Na+ channels were estimated (Chizmadgev, Yu. A., Khodorov, B.I. and Aityan, S.Kh. (1974) Bioelectrochem. Bioenerg. 1, 301--312).     

Ionic selectivity of Ih channels of rod photoreceptors in tiger salamanders.

Ionic selectivity of Ih channels of tiger salamander rod photoreceptors was investigated using whole-cell voltage clamp. Measured reversal potentials and the Goldman-Hodgkin-Katz voltage equation were used to calculate permeability ratios with 20 mM K+ as a reference. In the absence of external K+, Ih is small and hard to discern. Hence, we defined Ih as the current blocked by 2 mM external Cs+. Some small amines permeate Ih channels, with the following permeability ratios (PX/PK):NH4+, 0.17; methylammonium, 0.06; and hydrazine, 0.04. Other amines are tially impermeant: dimethylammonium (< 0.02), ethylammonium (< 0.01), and tetramethylammonium (< 0.01). When K+ is the only external permeant ion and its concentration is varied, the reversal potential of Ih follows the Nernst potential for a K+ electrode. Ih channels are also permeable to other alkali metal cations (PX/PK): T1+, > 1.55; K+, 1; Rb+, > 0.55; Na+, 0.33; Li+, 0.02. Except for Na+, the relative slope conductance had a similar sequence (GX/GK): T1+, 1.07; K+, 1; Rb+, 0.37; NH4+, 0.07; Na+, 0.02. Based on permeabilities to organic cations, the narrowest part of the pore has a diameter between 4.0 and 4.6 A. Some permeant cations have large effects on the gating kinetics of Ih channels; however, permeant cations appear to have little effect on the steady-state activation curve of Ih channels. Lowering K+ or replacing K+ with Na+ reduces the maximal conductance of Ih but does not shift or change the steepness of its voltage dependence. With ammonium or methylammonium replacing K+ a similar pattern is seen, except that there is a small positive shift of approximately 10 mV in the voltage dependence.     

Monovalent ion current through single calcium channels of skeletal muscle transverse tubules.

Akali monovalents, Li, Na, K, Cs, and organic monovalents of molecular cross section less than 20 A2, ammonium, methylammonium, hydrazinium, guanidinium, are shown to have a measurable conductance through Ca channels of muscle transverse tubules reconstituted into planar bilayers. For the alkali series, single channel conductances follow the sequence Cs approximately equal to K greater than Na greater than Li with a conductance ratio [g(Cs)/g(Li)] = 1.7. For permeability ratios, the sequence is Li greater than Na greater than K approximately equal to Cs with [P(Li)/P(Cs)] = 1.5. Monovalent current is only unmasked when Ba ions are not present. In mixtures of Cs and Ba, single channel current reverses close to the Ba equilibrium potential and more than 100 mV away from the Cs equilibrium potential. A cutoff in conduction is found for organic cations larger than trimethylammonium; this suggests an apparent pore aperture of about 5 X 5 A. Even in such a large pore, the fact that the alkali cation permeability sequence and conductance sequence are inverted rules out molecular sieving as the mechanism of selection among monovalents.     

Analysis of Spike Electrogenesis and Depolarizing K Inactivation in Electroplaques of Electrophorus electricus, L

Voltage clamp analyses, combined with pharmacological tools demonstrate the independence of reactive Na and K channels in electrically excitable membrane of eel electroplaques. Spike electrogenesis is due to Na activation and is eliminated by tetrodotoxin or mussel poison, or by substituting choline, K, Cs, or Rb for Na in the medium. The K channels remain reactive, but K activation is always absent, the electroplaques responding only with K inactivation. This is indicated by an increased resistance when the membrane is depolarized by more than about 30 mv. The resting resistance (1 to 5 ohm cm²) is dependent upon the ionic conditions, but when K inactivation occurs the resistance becomes about 10 ohm cm² in all conditions. K inactivation does not change the EMF significantly. The transition from low to high resistance may give rise to a negative-slope voltage current characteristic, and to regenerative inactivation responses under current clamp. The further demonstration that pharmacological K inactivation (by Cs or Rb) leaves Na activation and spike electrogenesis unaffected emphasizes the independence of the reactive processes and suggests different chemical compositions for the membrane structures through which they operate.     

Permeation of internal and external monovalent cations through the catfish cone photoreceptor cGMP-gated channel

The permeation of monovalent cations through the cGMP-gated channel of catfish cone outer segments was examined by measuring permeability and conductance ratios under biionic conditions. For monovalent cations presented on the cytoplasmic side of the channel, the permeability ratios with respect to extracellular Na followed the sequence NH4 > K > Li > Rb = Na > Cs while the conductance ratios at +50 mV followed the sequence Na approximately NH4 > K > Rb > Li = Cs. These patterns are broadly similar to the amphibian rod channel. The symmetry of the channel was tested by presenting the test ion on the extracellular side and using Na as the common reference ion on the cytoplasmic side. Under these biionic conditions, the permeability ratios with respect to Na at the intracellular side followed the sequence NH4 > Li > K > Na > Rb > Cs while the conductance ratios at +50 mV followed the sequence NH4 > K approximately Na > Rb > Li > Cs. Thus, the channel is asymmetric with respect to external and internal cations. Under symmetrical 120 mM ionic conditions, the single-channel conductance at +50 mV ranged from 58 pS in NH4 to 15 pS for Cs and was in the order NH4 > Na > K > Rb > Cs. Unexpectedly, the single-channel current-voltage relation showed sufficient outward rectification to account for the rectification observed in multichannel patches without invoking voltage dependence in gating. The concentration dependence of the reversal potential for K showed that chloride was impermeant. Anomalous mole fraction behavior was not observed, nor, over a limited concentration range, were multiple dissociation constants. An Eyring rate theory model with a single binding site was sufficient to explain these observations.     

Characterization of the Electrogenic Sodium Channel from Rat Brain Membranes Using Neurotoxin-Dependent 22Na Uptake

The sodium channel was studied in osmotically-sensitive membrane preparations from rat brain and in innervated and chronically denervated rat soleus and extensor digitorum longus muscles. These experiments were undertaken in order to define a set of parameters for sodium channel function at the subcellular level to be used as a measure of retention of channel integrity upon subsequent isolation of the channel. Various neurotoxins and drugs were employed to control the permeability of the brain membranes to ²²Na and the sodium-conductance properties of the muscles. Batrachotoxin (ED₅₀ = 0.2 μM), veratridine (ED₅₀ = 1 μM), or grayanotoxin I (ED₅₀ = 30 μM) stimulated ²²Na uptake in brain membranes is inhibited in an apparently uncompetitive manner by the sodium channel blocking agents tetrodotoxin and saxitoxin in a simple competitive manner by Ca²⁺ and in a partial or allosteric competitive manner by lidocaine and procaine. This ²²Na uptake assay, which can be equated to a measure of equilibrium toxin binding, shows dependence on the concentration of the membranes and is sensitive to pH, temperature, ionic strength, and the ionic composition of the media. Parallel biophysical studies on sodium channels in rat muscle show that the properties of the sodium channel are similarly affected by these agents.     

Ion selectivity of porcine skeletal muscle Ca2+ release channels is unaffected by the Arg615 to Cys615 mutation.

The Arg615 to Cys615 mutation of the sarcoplasmic reticulum (SR) Ca2+ release channel of malignant hyperthermia susceptible (MHS) pigs results in a decreased sensitivity of the channel to inhibitory Ca2+ concentrations. To investigate whether this mutation also affects the ion selectivity filter of the channel, the monovalent cation conductances and ion permeability ratios of single Ca2+ release channels incorporated into planar lipid bilayers were compared. Monovalent cation conductances in symmetrical solutions were: Li+, 183 pS +/- 3 (n = 21); Na+, 474 pS +/- 6 (n = 29); K+, 771 pS +/- 7 (n = 29); Rb+, 502 pS +/- 10 (n = 22); and Cs+, 527 pS +/- 5 (n = 16). The single-channel conductances of MHS and normal Ca2+ release channel were not significantly different for any of the monovalent cations tested. Permeability ratios measured under biionic conditions had the permeability sequence Ca2+ >> Li+ > Na+ > K+ > or Rb+ > Cs+, with no significant difference noted between MHS and normal channels. This systematic examination of the conduction properties of the pig skeletal muscle Ca2+ release channel indicated a higher Ca2+ selectivity (PCa2+:Pk+ approximately 15.5) than the sixfold Ca2+ selectivity previously reported for rabbit skeletal (Smith et al., 1988) or sheep cardiac muscle (Tinker et al., 1992) Ca2+ release channels. These results also indicate that although Ca2+ regulation of Ca2+ release channel activity is altered, the Arg615 to Cys615 mutation of the porcine Ca2+ release channel does not affect the conductance or ion selectivity properties of the channel.     

Action of External Divalent Ion Reduction on Sodium Movement in the Squid Giant Axon

Voltage clamp measurements of the sodium potential have been made on the resting squid giant axon to study the effect of variations in external divalent ion concentration upon net sodium flux. From these measurements the intracellular sodium concentration and the net sodium inflow were calculated using the Nernst relation and constant activity coefficients. While an axon bathed in artificial sea water shows a slow increase in internal sodium concentration, the rate of sodium accumulation is increased about two times by reducing external calcium and magnesium concentrations to 0.1 times their normal values. The mean inward net sodium flux increases from a mean control value of 97 pmole/cm² sec. to 186 pmole/cm² sec. in low divalent solution. Associated with these effects of external divalent ion reduction are a marked decrease in action potential amplitude, little or no change in resting potential, and a shift along the voltage axis of the curve relating peak sodium conductance to membrane potential similar to that obtained by Frankenhaeuser and Hodgkin (1957). These results implicate divalent ions in long term (minutes to hours) sodium permeability.     

Ion Transport Through Excitability-Inducing Material (EIM) Channels in Lipid Bilayer Membranes

Two different methods were used to determine the relative permeability and the voltage-dependent conductance of several different cations in excitability-inducing material (EIM)-doped lipid bilayers. In one method, the conductances of individual channels were measured for Li, Na, K, Cs, NH₄, and Ca, and in the other method biionic potentials of a membrane with many channels were measured for Li, Na, K, Cs, and Rb. The experimental results for the two methods are in agreement. The relative permeabilities are proportional to the ionic mobilities in free aqueous solution. The voltage dependence of the conductance is the same for all cations measured.     

Conductance and permeation of monovalent cations through depletion-activated Ca2+ channels (ICRAC) in Jurkat T cells.

We studied monovalent permeability of Ca2+ release-activated Ca2+ channels (ICRAC) in Jurkat T lymphocytes following depletion of calcium stores. When external free Ca2+ ([Ca2+]o) was reduced to micromolar levels in the absence of Mg2+, the inward current transiently decreased and then increased approximately sixfold, accompanied by visibly enhanced current noise. The monovalent currents showed a characteristically slow deactivation (tau = 3.8 and 21.6 s). The extent of Na+ current deactivation correlated with the instantaneous Ca2+ current upon readdition of [Ca2+]o. No conductance increase was seen when [Ca2+]o was reduced before activation of ICRAC. With Na+ outside and Cs+ inside, the current rectified inwardly without apparent reversal below 40 mV. The sequence of conductance determined from the inward current at -80 mV was Na+ > Li+ = K+ > Rb+ >> Cs+. Unitary inward conductance of the Na+ current was 2.6 pS, estimated from the ratios delta sigma2/delta Imean at different voltages. External Ca2+ blocked the Na+ current reversibly with an IC50 value of 4 microM. Na+ currents were also blocked by 3 mM Mg2+ or 10 microM La3+. We conclude that ICRAC channels become permeable to monovalent cations at low levels of external divalent ions. In contrast to voltage-activated Ca2+ channels, the monovalent conductance is highly selective for Na+ over Cs+. Na+ currents through ICRAC channels provide a means to study channel characteristics in an amplified current model.