A theoretical analysis of pH dependence of sodium channel conductance

A new theory termed tunnel-acid-group-potential (TAGPT), which explains the effects of pHo and pHi on the ion conductance through different membrane channels, is presented. It is suggested that shifts in pHo and pHi change the values of negative charges generated by acid groups of side chains of some polar (Glu, Asp) amino acid residues lining the tunnel part of the channel. The resulting electrostatic field modification affects the heights of rate-limiting energy barriers (for ion transport) in the transition zones between the tunnel and the vestibules, which changes the channel conductance.     

Tetanus toxin channel in phosphatidylserine planar bilayers: conductance states and pH dependence

Tetanus toxin (TeTx) forms ionic channel in phosphatidylserine bilayers. TeTx channels exhibit different modes of channel bursting activity, from a closed state to well defined open states of different amplitudes. At positive applied voltages, TeTx channels flicker continuously between a closed state and the various distinct open states. Furthermore, fast transitions into subconductance states are discernible within the bursts of channel activity. Elementary conductance steps submultiple of the open states were not identified in single channel records owing to rapid transitions between different states. However, statistical analysis shows that conductances cluster with amplitudes multiple of an elementary value: e.g. 25–30 pS at neutral pH. Single channel current amplitudes decrease with the pH of the bulk electrolyte solution. Conductance decrements can be accounted for by the relative decrease of permeant cation concentration at the membrane-water interface, by a relative enrichment of protons that block the channel or by the stabilization of a conformational state of the channel protein. Offprint requests to: F. Gambale     

Temperature dependence of Na currents in rabbit and frog muscle membranes

The effect of temperature (0-22 degrees C) on the kinetics of Na channel conductance was determined in voltage-clamped rabbit and frog skeletal muscle fibers using the triple-Vaseline-gap technique. The Hodgkin-Huxley model was used to extract kinetic parameters; the time course of the conductance change during step depolarization followed m3h kinetics. Arrhenius plots of activation time constants (tau m), determined at both moderate (-10 to -20 mV) and high (+100 mV) depolarizations, were linear in both types of muscle. In rabbit muscle, Arrhenius plots of the inactivation time constant (tau h) were markedly nonlinear at +100 mV, but much less so at -20 mV. The reverse situation was found in frog muscle. The contrast between the highly nonlinear Arrhenius plot of tau h at +100 mV in rabbit muscle, compared with that of frog muscle, was interpreted as revealing an intrinsic nonlinearity in the temperature dependence of mammalian muscle Na inactivation. These results are consistent with the notion that mammalian cell membranes undergo thermotropic membrane phase transitions that alter lipid-channel interactions in the 0-22 degrees C range. Furthermore, the observation that Na channel activation appears to be resistant to this effect suggests that the gating mechanisms that govern activation and inactivation reside in physically distinct regions of the channel.     

Intracellular pH of frog sartorius muscle

A weak base, morpholine, has been labelled with ³H and tested for its suitability as an indicator for intracellular pH, by distribution in the tissue water of frog sartorius muscle in the species Hyla litoria. Its pK'a at 20°C in a solution of the same of ionic strength as frog Ringer was found to be 8.45 ± 0.02, which is in the range of maximal sensitivity. Morpholine equilibrated with the tissue in 17 h; it was shown that it was not bound to intracellular constituents, that it was not metabolised nor toxic in the concentrations used; it was therefore judged suitable as a pH indicator. Intracellular pH was then measured by distribution of morpholine (6.985 ± 0.08), nicotine (6.915 ± 0.03) and the weak acid 5,5′-dimethyl-2,4-oxazolidinedione (7.10 ± 0.05) and with pH-sensitive microelectrodes (5.9, the equilibrium value). It was shown that the four significantly different values could not be reconciled in terms of experimental error, heterogeneity of intracellular pH, liquid junction potential differences, or binding of indicator molecules inside the fibre. They could, however, be reconciled if the fibre water had different structure and solvent properties from the extracellular water and ions were distributed across the membrane as between two liquid phases containing different solvents. Then the H⁺ would be in equilibrium, as shown by the microelectrode measurement, but intracellular pH would be indeterminable and probably greater than 6.     

The interactive effects of fatigue and pH on the ionic conductance of frog sartorius muscle fibers

The effects of fatigue on the membrane conductance of frog sartorius muscle at the resting potential and during an action potential were studied. When muscles were exposed to an extracellular pH of 8.0 the membrane conductance at the resting potential increased during fatigue by about 20% and returned to prefatigue level in about 20 min. The membrane conductance of muscle fibers exposed to pH 6.4 was about three times less than that of pH 8.0 and decreased further during fatigue. Furthermore, the recovery of a normal membrane conductance was slow at pH 6.4. Both the inward, depolarizing and the outward, repolarizing currents during the action potential are reduced in fatigue. In each case the effect is greater at pH 6.4 than at 8.0 and recovery towards normal values is slower at pH 6.4. It is concluded that the ionic conductance of the sarcolemmal membrane at the resting potential and during an action potential are modified by fatigue and that these changes are modulated by pHo.     

Structure-function relationships in diphtheria toxin channels: III. Residues which affect the cis pH dependence of channel conductance

The conductance of channels formed by diphtheria toxin (DT) in lipid bilayer membranes depends strongly on pH. We have previously shown that a 61 amino acid region of the protein, denoted TH8-9, is sufficient to form channels having the same pH-dependent conductance properties as those of whole toxin channels. One residue in this region, Aspartate 352, is responsible for all the dependence of single channel conductance on trans pH, whereas another, Glutamate 349, has no effect. Here, we report that of the seven remaining charged residues in the TH8-9 region, mutations altering the charge on H322, H323, H372, and R377 have minimal effects on single channel conductance; mutations of Glutamates 326, 327, or 362, however, significantly affect single channel conductance as well as its dependence on cis pH. Moreover, Glutamate 362 is titratable from both the cis and trans sides of the membrane, suggesting that this residue lies within the channel; it is more accessible, however, to cis than to trans protons. These results are consistent with the membrane-spanning topology previously proposed for the TH8-9 region, and suggest a geometric model for the DT channel.This work was supported by NIH grants AI22021, AI22848 (R.J.C.), T32 GM07288 (J.A.M.) and GM29210 (A.F.).     

Intracellular pH of frog sartorius muscle.

A weak base, morpholine, has been labelled with 3H and tested for its suitability as an indicator for intracellular pH, by distribution in the tissue water of frog sartorius muscle in the species Hyla litoria. Its pK'a at 20 degrees C in a solution of the same ionic strength as frog Ringer was found to be 8.45 +/- 0.02, which is in the range of maximal sensitivity. Morpholine equilibrated with the tissue in 17 h; it was shown that it was not bound to intracellular constituents, that it was not metabolised nor toxic in the concentrations used; it was therefore judged suitable as a pH indcator. Intracellular pH was then measured by distribution of morpholine (6.985 +/- 0.08), nicotine (6.915 +/- 0.03) and the weak acid 5,5'-dimethyl-2,4-oxazolidinedione (7.10 +/- 0.05) and the pH-sensitive microelectrodes (5.9, the equilibrium value). It was shown that the four significantly different values could not be reconciled in terms of experimental error, heterogeneity of intracellular pH, liquid junction potential differences, or binding of indicator molecules inside the fibre. They could, however, be reconciled if the fibre water had different structure and solvent properties from the extracellular water and all ions were distributed across the membrane as between two liquid phases containing different solvents. Then the H+ would be in equilibrium, as shown by the microelectrode measurement, but intracellular pH would be indeterminable and probably greater than 6.     

Aquaglyceroporins,one channel for two molecules

In the light of the recently published structure of GlpF and AQP1, we have analysed the nature of the residues which could be involved in the formation of the selectivity filter of aquaporins, glycerol facilitators and aquaglyceroporins. We demonstrate that the functional specificity for major intrinsic protein (MIP) channels can be explained on one side by analysing the polar environment of the residues that form the selective filter. On the other side, we show that the channel selectivity could be associated with the oligomeric state of the membrane protein. We conclude that a non-polar environment in the vicinity of the top of helix 5 could allow aquaglyceroporins and GlpF to exist as monomers within the hydrophobic environment of the membrane.     

Single potassium channel conductance in the frog node of Ranvier.

The single K+-channel conductance was calculated from the variance of the spontaneous potassium noise currents in voltage clamped frog node. Essential for this calculation is the mean potassium conductance during the noise measurement. So far this quantity has been underestimated, apparently due to K+-ion accumulation. With the proper values, the single K+-channel conductance is an increasing function of membrane voltage.     

pH dependence of electrostatic interaction between ion-penetrable membranes

A theory on the electrostatic repulsion between ion-penetrable membranes proposed previously by us is extended by taking into account the degree of dissociation of the membrane-fixed ionizable groups. A system of equations which determines the pH dependence of the membrane interaction is presented. The density of membrane-fixed charges is consistently determined as a function of the electric potential so that both the membrane-fixed charge density and the potential are not constant but functions of the membrane separation. The pH at the surface of interacting membranes is also calculated as a function of the membrane separation.     

Low single channel conductance of the major skeletal muscle chloride channel, ClC-1.

We expressed the skeletal muscle chloride channel, ClC-1, in HEK293 cells and investigated it with the patch-clamp technique. Macroscopic properties are similar to those obtained after expression in Xenopus oocytes, except that faster gating kinetics are observed in mammalian cells. Nonstationary noise analysis revealed that both rat and human ClC-1 have a low single channel conductance of about 1 pS. This finding may explain the lack of single-channel data for chloride channels from skeletal muscle despite its high macroscopic chloride conductance.     

Nystatin-, mycoheptin- and levorin-induced conductance in the membrane of frog skeletal muscle fibres

The effects of the polyene antibiotics nystatin (2 × 10^–5–10^–4 mol/l), mycoheptin (1.3 × 10^–6–10^–5 mol/l) and levorin (10^–8–5 × 10^–5 mol/l)on isolated frog skeletal muscle fibres and whole sartorius muscles of the frog have been investigated. Cation conductance was measured under current clamp conditions using a double sucrosegap technique. Cation effluxes were studied by means of flame emission photometry. All three antibiotics increased the cation conductance and efflux rates; however, differences between the polyenes were found in the steady state values of induced cation transport at a given concentration. The values of both induced conductance g_A and efflux rate constants K_A formed the following sequence: levorin > mycoheptin > nystatin, demonstrating a correlation with the order of antifungal activities. The dose-response curves of lg polyene-induced cation transport against lg of antibiotic concentration in our experiments had slope values which were much lower than those in bilayers: 1.7 and 1.3 for nystatin and mycoheptin, respectively, whereas the aromatic heptaene levorin had an even smaller concentration dependence. The decline in the equilibrium conductance caused by nystatin- and mycoheptin removal was very fast (during the first minute = 0.74 and 2.39 min, respectively). In contrast, levorin-induced conductance was irreversible. It is proposed that the processes which limit the rate of channel formation are different in biological and model membranes. Correspondence to: N. E. Shvinka     

pH dependence of the acetylcholine receptor channel: a species variation

The effects of pH changes on the miniature endplate current (mepc) and on endplate current fluctuations (acetylcholine [ACh] noise) were examined at the neuromuscular junction in vitro in two species of frogs. In Rana pipiens the relationship between the decay time constant of the mepc (tau') and pH had a symmetrical bell shape; the value of tau' being largest at pH 7 and decreasing at more acid or more alkaline pH. In acid pH the mepc amplitude (A) decreased relative to its value at pH 7, and in alkaline pH A increased. In Rana ridibunda a narrower and asymmetric bell-shaped dependence of tau' on pH, having a maximum of pH 5.5, was found. The mepc amplitude was again reduced in acid pH but had a peak at pH 5.5. Also, its value at pH 9 was larger than at pH 7. These results were obtained with a number of different buffers and were not found to be sensitive to the nature of the buffer chosen. By performing ACh-noise analysis we found that in Rana pipiens at acid pH (5.5-5.0), the single channel conductance (gamma) and the single channel open time (tau) were significantly reduced relative to their value at pH 7. However, in Rana ridibunda at acid pH (5.4) gamma was unchanged and tau was markedly increased relative to their values at pH 7. The results can be explained quantitatively by electrostatic interaction between two fixed and titratable ionic groups and a mobile charge in the receptor molecule. The model fits the data for groups having pKs approximately 4.8 and approximately 9.8 for Rana pipiens and approximately 4.6 and approximately 6.3 for Rana ridibunda. The groups can be tentatively identified as amino acid residues; glutamic or aspartic and lysine or tyrosine for Rana pipiens; glutamic or aspartic and histidine for Rana ridibunda. The difference in the fitted values of the other model parameters for these two species can be attributed to differences in the spatial configuration of the charged groups.     

Temperature dependence of embryonic cardiac gap junction conductance and channel kinetics

We have investigated the effects of temperature on the conductance and voltage-dependent kinetics of cardiac gap junction channels between pairs of seven-day embryonic chick ventricle myocytes over the range of 14–26°C. Records of junctional conductance (G _j ) and steady-state unit junctional channel activity were made using the whole-cell double patch-clamp technique while the bath temperature was steadily changed at a rate of about 4°C/min. The decrease inG _j upon cooling was biphasic with a distinct break at 21°C. In 12 cell pairs,Q ₁₀ was 2.2 from 26 to 21°C, while between 21 and 14°C it was 6.5. The meanG _j at 22°C (G _j22 ) was 3.0±2.1 nS, ranging in different preparations from 0.24 to 6.4 nS. At room temperature, embryonic cardiac gap junctions contain channels with conductance states near 240, 200, 160, 120, 80 and 40 pS. In the present study, we demonstrate that cooling decreases the frequency of channel openings at all conductance levels, and at temperatures below 20°C shifts the prevalence of openings from higher to lower conductance states: all 240 pS openings disappear below 20°C; 200 pS openings are suppressed at 17°C; below 16°C 160 and 120 pS events disappear and only 80 and 40 pS states are seen. Temperature also affected the voltage-dependent kinetics of the channels. Application of a 6 sec, 80 mV voltage step across the junction (V _j80 ) caused a biexponential decay in junctional conductance. Decay was faster at lower temperatures, whereas the rate of recovery ofG _j after returning toV _j0 was slowed. Cooling reduced the fast decay time constant, increased both recovery time constants, and decreased the magnitude of GitG_j decay, thus leaving a 10–16% larger residual conductance (G _ss/G _init,±80 mVV _j ) at 18 than at 22°C. From these results we propose that embryonic chick cardiac gap junctions contain at least two classes of channels with different conductances and temperature sensitivities.     

pH modulation of large conductance potassium channel from adrenal chromaffin granules

We report here that large conductance K⁺ selective channel in adrenal chromaffin granules is controlled by pH. We measured electrogenic influx of ⁸⁶Rb⁺ into chromaffin granules prepared from bovine adrenal gland medulla. The ⁸⁶Rb⁺ influx was inhibited by acidic pH. Purified chromaffin granule membranes were also fused with planar lipid bilayer. A potassium channel with conductance of 432±9 pS in symmetric 450 mM KCl was observed after reconstitution into lipid bilayer. The channel activity was unaffected by charybdotoxin, a blocker of the Ca²⁺-activated K⁺ channel of large conductance. It was observed that acidification to pH 6.4 cis side of the membrane lowered the channel open probability and single channel conductance. Whereas only weak influence on the single channel current amplitude and open probability were observed upon lowering of the pH at the trans side. We conclude that a pH-sensitive large conductance potassium channel operates in the chromaffin granule membrane.     

Single channel conductance at lipid bilayer membranes in presence of monazomycin

The single channel conductance in the presence of the antibiotic monazomycin at lipid bilayer membranes was measured. It was found to be 3 times smaller than the single channel conductance of gramicidin A under the same conditions. The conductance of the monazomycin pore is voltage independent.     

pH modulation of large conductance potassium channel from adrenal chromaffin granules

We report here that large conductance K(+) selective channel in adrenal chromaffin granules is controlled by pH. We measured electrogenic influx of (86)Rb(+) into chromaffin granules prepared from bovine adrenal gland medulla. The (86)Rb(+) influx was inhibited by acidic pH. Purified chromaffin granule membranes were also fused with planar lipid bilayer. A potassium channel with conductance of 432+/-9 pS in symmetric 450 mM KCl was observed after reconstitution into lipid bilayer. The channel activity was unaffected by charybdotoxin, a blocker of the Ca(2+)-activated K(+) channel of large conductance. It was observed that acidification to pH 6.4 cis side of the membrane lowered the channel open probability and single channel conductance. Whereas only weak influence on the single channel current amplitude and open probability were observed upon lowering of the pH at the trans side. We conclude that a pH-sensitive large conductance potassium channel operates in the chromaffin granule membrane.