Block of neuronal chloride channels by tetraethylammonium ion derivatives

The block by the symmetric tetraethylammonium (TEA) ion derivatives tetrapropylammonium (TPrA), tetrabutylammonium (TBA), and tetrapentylammonium (TPeA) ions of fast chloride channels in acutely dissociated rat cortical neurons was studied with the excised inside- out configuration of the patch-clamp technique. When applied to the intracellular membrane surface, all three of the quaternary ammonium compounds (QAs) induced the appearance of short-lived closed states in a manner consistent with a blocking mechanism where the blocker preferentially binds to the open kinetic state and completely blocks ion current through the channel. The drug must leave the channel before the channel can return to a closed state. The mechanism of block was studied using one-dimensional dwell-time analysis. Kinetic models were fit to distributions of open and closed interval durations using the Q- matrix approach. The blocking rate constants for all three of the QAs were similar with values of approximately 12-20 x 10(6) M-1s-1. The unblocking rates were dependent on the size or hydrophobicity of the QA with the smallest derivative, TPrA, inducing a blocked state with a mean lifetime of approximately 90 microseconds, while the most hydrophobic derivative, TPeA, induced a blocked state with a mean lifetime of approximately 1 ms. Thus, it appears as though quaternary ammonium ion block of these chloride channels is nearly identical to the block of many potassium channels by these compounds. This suggests that there must be structural similarities in the conduction pathway between anion and cation permeable channels.     

Properties of three different ion channels in the plasma membrane of the slime mold Dictyostelium discoideum.

'Patch-clamp' experiments in the cell-attached configuration have shown the existence of three distinct types of ion channels in the plasma membrane of Dictyostelium discoideum. Channels DI (slope conductance 11 pS) and DII (slope conductance 6 pS) promote an outward current at depolarizing voltages. A third ion channel (HI, slope conductance 3 pS) opens preferentially at hyperpolarization and promotes inward current flow. It is suggested that under physiological conditions current through the DI and DII channels is carried by K+, whereas Ca2+ may be the current carrier in the HI channel. The density of these ion channels in the membrane of D. discoideum is low: approx. 0.1/micron 2 for the DI and HI channel and 0.02/micron 2 for the DII channel. The gating properties of the ion channels appear to be complicated because openings are grouped into bursts of activity. The probability of the DI channel being in the open state increases with depolarization. The mean channel life-time is about 20 ms and voltage-independent. The burst duration increases with depolarization whereas the interburst time decreases. The minimal kinetic model accounting for the behaviour of the DI channel is a three-state model with two closed and one open state. A detailed analysis of the gating of the DII and the HI channel was prevented by their low rate of occurrence (DII) or fast inactivation (HI). The formation of a seal resistance greater than or equal to 1 G omega depends critically on the composition of the pipette solution. Examination of a series of monovalent and divalent cations as well as different organic and inorganic anions has shown that 'gigaseals' are formed only in the presence of at least 1 mM Ca2+ or Sr2+, whereas Ba2+, Mg2+ and monovalent cations (Li+, Na+, K+, Rb+, Cs+) do not support the formation of high seal resistances. Anions seem not to affect the seal formation.     

Gating of O2-sensitive K+ channels of arterial chemoreceptor cells and kinetic modifications induced by low PO2

We have studied the kinetic properties of the O2-sensitive K+ channels (KO2 channels) of dissociated glomus cells from rabbit carotid bodies exposed to variable O2 tension (PO2). Experiments were done using single-channel and whole-cell recording techniques. The major gating properties of KO2 channels in excised membrane patches can be explained by a minimal kinetic scheme that includes several closed states (C0 to C4), an open state (O), and two inactivated states (I0 and I1). At negative membrane potentials most channels are distributed between the left-most closed states (C0 and C1), but membrane depolarization displaces the equilibrium toward the open state. After opening, channels undergo reversible transitions to a short-living closed state (C4). These transitions configure a burst, which terminates by channels either returning to a closed state in the activation pathway (C3) or entering a reversible inactivated conformation (I0). Burst duration increases with membrane depolarization. During a maintained depolarization, KO2 channels make several bursts before ending at a nonreversible, absorbing, inactivated state (I1). On moderate depolarizations, KO2 channels inactivate very often from a closed state. Exposure to low PO2 reversibly induces an increase in the first latency, a decrease in the number of bursts per trace, and a higher occurrence of closed-state inactivation. The open state and the transitions to adjacent closed or inactivated states seem to be unaltered by hypoxia. Thus, at low PO2 the number of channels that open in response to a depolarization decreases, and those channels that follow the activation pathway open more slowly and inactivate faster. At the macroscopic level, these changes are paralleled by a reduction in the peak current amplitude, slowing down of the activation kinetics, and acceleration of the inactivation time course. The effects of low PO2 can be explained by assuming that under this condition the closed state C0 is stabilized and the transitions to the absorbing inactivated state I1 are favored. The fact that hypoxia modifies kinetically defined conformational states of the channels suggests that O2 levels determine the structure of specific domains of the KO2 channel molecule. These results help to understand the molecular mechanisms underlying the enhancement of the excitability of glomus cells in response to hypoxia.     

Gating transitions in bacterial ion channels measured at 3 microns resolution

Ion channels of high conductance (>200 pS) are widespread among prokaryotes and eukaryotes. Two examples, the Escherichia coli mechanosensitive ion channels Ec-MscS and Ec-MscL, pass currents of 125-300 pA. To resolve temporal details of conductance transitions, a patch-clamp setup was optimized for low-noise recordings at a time resolution of 3 microns (10-20 times faster than usual). Analyses of the high-resolution recordings confirm that Ec-MscL visits many subconductance states and show that most of the intersubstate transitions occur more slowly than the effective resolution of 3 micros. There is a clear trend toward longer transition times for the larger transitions. In Ec-MscS recordings, the majority of the observed full conductance transitions are also composite. We detected a short-lived (approximately 20 microns) Ec-MscS substate at 2/3 of full conductance; transitions between 2/3 and full conductance did not show fine structure and had a time course limited by the achieved resolution. Opening and closing transitions in MscS are symmetrical and are not preceded or followed by smaller, rapid currents ("anticipations" or "regrets"). Compared with other, lower-conductance channels, these measurements may detect unusually early states in the transitions from fully closed to fully open. Increased temporal resolution at the single-molecule level reveals that some elementary steps of structural transitions are composite and follow several alternative pathways, while others still escape resolution. High-bandwidth, low-noise single-channel measurements may provide details about state transitions in other high-conductance channels; and similar procedures may also be applied to channel- and nanopore-based single-molecule DNA measurements.     

Helical alpha-synuclein forms highly conductive ion channels

Alpha-synuclein (alphaS) is a cytosolic protein involved in the etiology of Parkinson's disease (PD). Disordered in an aqueous environment, alphaS develops a highly helical conformation when bound to membranes having a negatively charged surface and a large curvature. It exhibits a membrane-permeabilizing activity that has been attributed to oligomeric protofibrillar forms. In this study, monomeric wild-type alphaS and two mutants associated with familial PD, E46K and A53T, formed ion channels with well-defined conductance states in membranes containing 25-50% anionic lipid and 50% phosphatidylethanolamine (PE) in the presence of a trans-negative potential. Another familial mutant, A30P, known to have a lower membrane affinity, did not form ion channels. Ca2+ prevented channel formation when added to membranes before alphaS and decreased channel conductance when added to preformed channels. In contrast to the monomer, membrane permeabilization by oligomeric alphaS was not characterized by formation of discrete channels, a requirement for PE lipid, or a membrane potential. Channel activity, alpha-helical content, thermal stability of membrane-bound alphaS determined by far-UV CD, and lateral mobility of alphaS bound to planar membranes measured by fluorescence correlation spectroscopy were correlated. It was inferred that discrete ion channels with well-defined conductance states were formed in the presence of a membrane potential by one or several molecules of monomeric alphaS in an alpha-helical conformation and that such channels may have a role in the normal function and/or pathophysiology of the protein.     

Single chloride-selective channels active at resting membrane potentials in cultured rat skeletal muscle.

The patch-clamp technique was used to characterize channels that could contribute to the resting Cl-conductance in the surface membrane of cultured rat skeletal muscle. Two Cl- -selective channels, in addition to the Cl- -selective channel of large conductance described previously (Blatz and Magleby, 1983), were observed. One of these channels had fast kinetics and a conductance of 45 +/- 1.8 pS (SE) in symmetrical 100 mM KCl. The other had slow kinetics and a conductance of 61 +/- 2.4 pS. The channel with fast kinetics typically closed within 1 ms after opening and flickered between the open and shut states. The channel with slow kinetics typically closed within 10 ms after opening and displayed less flickering. Both channels were active in excised patches of membrane held at potentials similar to resting membrane potentials in intact cells, and both were open a greater percentage of time with depolarization. Under conditions of high ion concentrations, both channels exhibited nonideal selectivity for Cl- over K+ with the permeability ratio PK/PCl of 0.15-0.2. Additional experiments on the fast Cl- channel indicated that its activity decreased with lowered pHi and that SO2-4 and CH3SO-4 were ineffective charge carriers. These findings, plus the observation that the fast Cl- channel was also active in membrane patches on intact cells, suggest that the fast Cl- channel provides a molecular basis for at least some of the resting Cl- conductance. The extent to which the slow Cl- channel contributes is less clear as it was typically active only after excised patches of membrane had been exposed to high concentrations of KCl at the inner membrane surface.     

Gating kinetics of four classes of voltage-dependent K+ channels in pheochromocytoma cells

Clonal pheochromocytoma (PC-12) cells have four different types of voltage-dependent K+ channels whose activation does not require high concentrations of Ca++ on the cytoplasmic side of the membrane (Hoshi, T., and R. W. Aldrich, 1988, Journal of General Physiology, 91:73-106). The durations of open and closed events of these four different types of voltage-dependent K+ channels were measured using the excised configuration of the patch-clamp method. The open durations of a class of K+ channels termed the Kz channel, which activates rapidly and inactivates slowly in response to depolarizing pulses, had two exponential components. The closed durations of the Kz channel had at least four exponential components. The time constants of the fastest of the two exponential components in the closed durations were very similar to those of the two exponential components present in the first-latency distribution. The first latencies of the Kz channel decreased steeply with depolarization, contributing to the increased probability of the channel being open with depolarization. The Kz channel also had a very slow gating process that resulted in a clustering of blank sweeps. A gating scheme containing two open states and five closed states is consistent with the observations. The Ky channel had one exponential component in the open durations and three exponential components in the closed durations. The first latencies varied greatly depending on the prepulse voltage and duration. The results were consistent with a sequential model with a large number of closed states and one open state. The Kx channel, which required large hyperpolarizing prepulses to remove steady state inactivation and did not show inactivation with maintained depolarization, had two exponential components in the open durations and three exponential components in the closed durations. The burst behavior of the Kx channel involved many more than two states. The transient Kw channel had one exponential component in the open durations and the mean open time increased with depolarization. The first latencies of the Kw channel were steeply dependent on the voltage, decreasing with depolarization.     

Voltage- and cold-dependent gating of single TRPM8 ion channels

Transient receptor potential (TRP) channels play critical roles in cell signaling by coupling various environmental factors to changes in membrane potential that modulate calcium influx. TRP channels are typically activated in a polymodal manner, thus integrating multiple stimuli. Although much progress has been made, the underlying mechanisms of TRP channel activation are largely unknown. The TRPM8 cation channel has been extensively investigated as a major neuronal cold sensor but is also activated by voltage, calcium store depletion, and some lipids as well as by compounds that produce cooling sensations, such as menthol or icilin. Several models of TRPM8 activation have been proposed to explain the interaction between these diverse stimuli. However, a kinetic scheme is not yet available that can describe the detailed single-channel kinetics to gain further insight into the underlying gating mechanism. To work toward this goal, we investigated voltage-dependent single-channel gating in cell-attached patches at two different temperatures (20 and 30 °C) using HEK293 cells stably expressing TRPM8. Both membrane depolarization and cooling increased channel open probability (P(o)) mainly by decreasing the duration of closed intervals, with a smaller increase in the duration of open intervals. Maximum likelihood analysis of dwell times at both temperatures indicated gating in a minimum of five closed and two open states, and global fitting over a wide range of voltages identified a seven-state model that described the voltage dependence of P(o), the single-channel kinetics, and the response of whole-cell currents to voltage ramps and steps. The major action of depolarization and cooling was to accelerate forward transitions between the same two sets of adjacent closed states. The seven-state model provides a general mechanism to account for TRPM8 activation by membrane depolarization at two temperatures and can serve as a starting point for further investigations of multimodal TRP activation.     

Biological effects of oscillating electric fields: Role of voltage-sensitive ion channels

An alternating component of potential across the membrane of an excitable cell may change the membrane conductance by interacting with the voltagesensing charged groups of the protein macromolecules that form voltage-sensitive ion channels. Because the probability that a voltage sensor is in a given state is a highly nonlinear function of the applied electric field, the average occupancy of a particular state will change in an oscillating electric field of sufficient magnitude. This “rectification” at the level of the voltage sensors could result in conformational changes (gating) that would modify channel conductance. A simplified two-state model is examined where the relaxation time of the voltage sensor is assumed to be considerably faster than the fastest changes of ionic conductance. Significant changes in the occupancy of voltage sensor states in response to an applied oscillating electric field are predicted by the model.     

Amphotericin B channels in phospholipid membrane-coated nanoporous silicon surfaces: implications for photovoltaic driving of ions across membranes

The antimycotic agent amphotericin B (AmB) functions by forming complexes with sterols to form ion channels that cause membrane leakage. When AmB and cholesterol mixed at 2:1 ratio were incorporated into phospholipid bilayer membranes formed on the tip of patch pipettes, ion channel current fluctuations with characteristic open and closed states were observed. These channels were also functional in phospholipid membranes formed on nanoporous silicon surfaces. Electrophysiological studies of AmB-cholesterol mixtures that were incorporated into phospholipid membranes formed on the surface of nanoporous (6.5 nm pore diameter) silicon plates revealed large conductance ion channels ( approximately 300 pS) with distinct open and closed states. Currents through the AmB-cholesterol channels on nanoporous silicon surfaces can be driven by voltage applied via conventional electrical circuits or by photovoltaic electrical potential entirely generated when the nanoporous silicon surface is illuminated with a narrow laser beam. Electrical recordings made during laser illumination of AmB-cholesterol containing membrane-coated nanoporous silicon surfaces revealed very large conductance ion channels with distinct open and closed states. Our findings indicate that nanoporous silicon surfaces can serve as mediums for ion-channel-based biosensors. The photovoltaic properties of nanoporous silicon surfaces show great promise for making such biosensors addressable via optical technologies.     

Single ion channels in the slime mold Dictyostelium discoideum

Single ion channels with different conductances and gating characteristics were observed in the plasma membrane of the slime mold Dictyostelium discoideum by means of the patch-clamp technique in the cell-attached mode. The predominant channel type shows outward current flow, probably carried by K+ ions. The slope conductance of this channel is 9 pS and its probability to be open increases with depolarization of the membrane. The channel is observed from 1 to 8 h after the beginning of starvation.     

Properties of amphotericin B channels in a lipid bilayer

Properties of individual ionic channels formed by polyene antibiotic Amphotericin B were studied on brain phospholipid membranes containing cholesterol. The ionic channels have a closed state and an open one (with conductance of about 6.5 pS in 2 M KCl). The conductance value of an open channel is independent of cholesterol concentration in the membrane and of pH in the range from 3.5 to 8.0. The voltage-current characteristics of a single channel are superlinear. Zero current potential value in the case of different KCl concentrations in the two solutions indicates preferential but not ideal anionic selectivity of a single channel. Channel conductivity grows as the electrolyte concentration is increased and tends to a limiting value at high concentrations. A simple model having only one site for an ion was shown to represent satisfactorily an open channel behaviour under different conditions. An individual ionic channel performs a large number of transitions between the open and closed states during its life-time of several minutes. Rate constants of these transitions depend on the kind and concentration of salt in aqueous solutions. The switching system functioning is not influenced by an ion situated inside the pore.     

Two distinct gating mechanisms in gap junction channels: CO2-sensitive and voltage-sensitive.

The chemical gating of single-gap junction channels was studied by the dual whole-cell voltage-clamp method in HeLa cells transfected with connexin43 (HeLa43) and in fibroblasts from sciatic nerves. Junctional current (Ij), single-channel conductance, and Ij kinetics were studied in cell pairs during CO2 uncoupling and recoupling at small transjunctional voltages (Vj < 35 mV: Vj gating absent) and at high Vj (Vj > 40 mV: Vj gating strongly activated). In the absence of Vj gating, CO2 exclusively caused Ij slow transitions from open to closed channel states (mean transition time: approximately 10 ms), corresponding to a single-channel conductance of approximately 120 pS. At Vj > 40 mV, Vj gating induced fast Ij flickering between open, gamma j(main state), and residual, gamma j(residual), states (transition time: approximately 2 ms). The ratio gamma j(main state)/gamma j(residual) was approximately 4-5. No obvious correlation between Ij fast flickering and CO2 treatment was noticed. At high Vj, in addition to slow Ij transitions between open and closed states, CO2 induced slow transitions between residual and closed states. During recoupling, each channel reopened by a slow transition (mean transition time: approximately 10 ms) from closed to open state (rarely from closed to residual state). Fast Ij flickering between open and residual states followed. The data are in agreement with the hypothesis that gap junction channels possess two gating mechanisms, and indicate that CO2 induces channel gating exclusively by the slow gating mechanism.     

Mitochondrial ion channels

Ion channels are proteins, which facilitate the ions flow throught biological membranes. In recent years the structure as well as the function of the plasma membrane ion channels have been well investigated. The knowledge of intracellular ion channels however is still poor. Up till now, the calcium channel described in endoplasmatic reticulum and mitochondrial porine are the examples of intracellular ion channels, which have been well characterized. The mitochondrial potassium channels: regulated by ATP (mitoK(ATP)) and of big conductance activated by Ca2+ (mitoBK(Ca)), which were described in inner mitochondrial membrane, play a key role in the protection of heart muscle against ischemia. In this review the last date concerning the mitochondrial ion channels as well as they function in cell metabolism have been presented.     

Single voltage-dependent K+ and Cl- channels in cultured rat astrocytes

The kinetic reactions of a voltage-dependent K+ channel, which constituted about 14% of all the recorded K+ channels in the membrane of cultured rat astrocytes were studied in detail. A scheme of one open and three closed states is necessary to describe the kinetic reactions of this channel. The channel contributes little to the resting membrane potential. Its steady state open probability (Po) is 0.06 at -70 mV. When the cell is depolarized to O mV, Po approaches 1. This represents a 17-fold increase. Such channels could contribute to the potassium clearance by enhancing the effect of "spatial buffering." Additionally, single anion-selective channels with very high conductances were found in inside-out patches in approximately 15% of all recorded channels in the membrane of rat astrocytes. Channel openings are characterized by more than one conductance level; the main level showed a mean conductance of 400 pS. These channels are divided into two groups. Approximately 90% of the recorded chloride channels showed a strong voltage dependency of their current fluctuations. Within a relatively small potential range (+/- 15 mV) the channels have a high probability of being in the active state. After a voltage jump to varying testing potentials in the range of +/- 20 to +/- 50 mV the channels continued to be in the active state for some time and then closed to a shut state. If the testing potential persisted, the channels were not able to leave this shut state.(ABSTRACT TRUNCATED AT 250 WORDS)     

Kinetic parameters of single ion channels and stationary conductivities of phytotoxin modified lipid bilayers

As shown earlier, phytotoxins produced by Pseudomonas syringae pv. syringae form ion channels of "small" and "large" conductance when incorporated into planar lipid membranes. The multilevel conductance is due to cluster organization of the channels (Kaulin et al., 1998; Gurnev et al., 2002). In this study the kinetic parameters of syringomycin E (SRE) and syringostatin A (SSA) channels in negatively charged bilayer lipid membranes were estimated. The average time of open state of the small channels (t(s)(open)) did not depend on transmembrane voltage (in the range of +/- 200 mV). The channel characteristics differed between two phytotoxins: the t(s)(open) for the SRE-channels was much larger than that for SSA-channels. An energetic diagram with two non-conducting states illustrating the formation of the small channel is proposed to explain the voltage independence of the kinetic parameters. The probability for synchronous functioning of small channels with SSA was higher than that with SRE. To analyse the role of the clusters in the biological activities of SRE and SSA, we estimated the cluster contribution to a net transmembrane currents to be 60 and 90%, respectively.     

Formation of ion channels by Colicin B in planar lipid bilayers

Summary The gene for the antibacterial peptide colicin B was cloned and transformed into a host background where it was constitutively overexpressed. The purified gene product was biologically active and formed voltage-dependent, ion-conducting channels in planar phospholipid bilayers composed of asolectin. Colicin B channels exhibited two distinct unitary conductance levels, and a slight preference for Na⁺ over Cl^–. Kinetic analysis of the voltage-driven opening and closing of colicin channels revealed the existence of at least two conducting states and two nonconducting states of the protein. Both the ion selectivity and the kinetics of colicin B channels were highly dependent on pH. Excess colicin protein was readily removed from the system by perfusing the bilayer, but open channels could be washed out only after they were allowed to close. A monospecific polyclonal antiserum generated against electrophoretically purified colicin B eliminated both the biological and in vitro activity of the protein. Membrane-associated channels, whether open or closed, remained functionally unaffected by the presence of the antiserum. Taken together, our results suggest that the voltage-independent binding of colicin B to the membrane is the rate-limiting step for the formation of ion channels, and that this process is accompanied by a major conformational rearrangement of the protein.     

A model of the gating of ion channels

The gating of ion channels in biological membranes has usually been described in terms of Markov transitions between a few discrete open or closed states. Such models predict that the distributions of open and closed durations decay as a sum of exponential terms. Recent experimental data have indicated that certain channels are not easily described by these models. We show that distributions of open and closed times similar to those seen experimentally are predicted by a model that involves only one open and closed state but that assumes the activation energy of the gating process to be stochastic. This model involves only a few parameters and these have direct physical interpretations. Measurements of the correlation between the durations of successive open or closed events is shown to provide an experimental method for distinguishing between this and other models.     

Gating of voltage-dependent potassium channels

Activation of voltage-dependent ion channels is primarily controlled by the applied potential difference across the membrane. For potassium channels the Drosophila Shaker channel has served as an archetype of all other potassium channels in studies of activation mechanisms. In the Shaker potassium channel much of the voltage sensitivity is conferred by the S4 transmembrane helix, which contains seven positively charged residues. During gating, the movement of these charges produces gating currents. Mutagenic and fluorescence studies indicate that four of these residues are particularly important and contribute to the majority of gating charge, R362, R365, R368 and R371. The channel is thought to dwell in several closed states prior to opening. Ionic-charge pairing with negatively charged residues in the S2 and S3 helices is thought to be important in regulating these closed states and detailed kinetic models have attempted to define the kinetics and charge of the transitions between these states. Neutral residues throughout the S4 and S5 helices are thought to control late steps in channel opening and may have important roles in modulating the stability of the open state and late closed states. In response to depolarization, the S4 helix is thought to undergo a rotational translation and this movement is also important in studies of the movement of the pore helices, S5 and S6, during opening. This review will examine residues that are important during activation as well as kinetic models that have attempted to quantitatively define the activation pathway of voltage-dependent potassium channels.     

External pH effects on the depolarization-activated K channels in guard cell protoplasts of Vicia faba

Previous studies reveal that the pH of the apoplastic solution in the guard cell walls may vary between 7.2 and 5.1 in closed and open stomata, respectively. During these aperture and pH changes, massive K+ fluxes cross the cellular plasma membrane driving the osmotic turgor and volume changes of guard cells. Therefore, we examined the effect of extracellular pH on the depolarization-activated K channels (KD channels), which constitute the K+ efflux pathway, in the plasma membrane of Vicia faba guard cell protoplasts. We used patch clamp, both in whole cells as well as in excised outside-out membrane patches. Approximately 500 KD channels, at least, could be activated by depolarization in one protoplast (density: approximately 0.6 micron-2). Acidification from ph 8.1 to 4.4 decreased markedly the whole-cell conductance, GK, of the KD channels, shifted its voltage dependence, GK- EM, to the right on the voltage axis, slowed the rate of activation and increased the rate of deactivation, whereas the single channel conductance was not affected significantly. Based on the GK-EM shifts, the estimated average negative surface charge spacing near the KD channel is 39 A. To quantify the effects of protons on the rates of transitions between the hypothesized conformational states of the channels, we fitted the experimental macroscopic steady state conductance-voltage relationship and the voltage dependence of time constants of activation and deactivation, simultaneously, with a sequential three-state model CCO. In terms of this model, protonation affects the voltage-dependent properties via a decrease in localized, rather than homogeneous, surface charge sensed by the gating moieties. In terms of either the CO or CCO model, the protonation of a site with a pKa of 4.8 decreases the voltage-independent number of channels, N, that are available for activation by depolarization.