Time-Dependent Molecular Memory in Single Voltage-Gated Sodium Channel

Excitability in neurons is associated with firing of action potentials and requires the opening of voltage-gated sodium channels with membrane depolarization. Sustained membrane depolarization, as seen in pathophysiological conditions like epilepsy, can have profound implications on the biophysical properties of voltage-gated ion channels. Therefore, we sought to characterize the effect of sustained membrane depolarization on single voltage-gated Na⁺ channels. Single-channel activity was recorded in the cell-attached patch-clamp mode from the rNa_v1.2α channels expressed in CHO cells. Classical statistical analysis revealed complex nonlinear changes in channel dwell times and unitary conductance of single Na⁺ channels as a function of conditioning membrane depolarization. Signal processing tools like weighted wavelet Z (WWZ) and discrete Fourier transform analyses attributed a “pseudo-oscillatory” nature to the observed nonlinear variation in the kinetic parameters. Modeling studies using the hidden Markov model (HMM) illustrated significant changes in kinetic states and underlying state transition rate constants upon conditioning depolarization. Our results suggest that sustained membrane depolarization induces novel nonlinear properties in voltage-gated Na⁺ channels. Prolonged membrane depolarization also induced a “molecular memory” phenomenon, characterized by clusters of dwell time events and strong autocorrelation in the dwell time series similar to that reported recently for single enzyme molecules. The persistence of such molecular memory was found to be dependent on the duration of depolarization. Voltage-gated Na⁺ channel with the observed time-dependent nonlinear properties and the molecular memory phenomenon may determine the functional state of the channel and, in turn, the excitability of a neuron.     

Sodium channels in planar lipid bilayers. Channel gating kinetics of purified sodium channels modified by batrachotoxin

Single channel currents of sodium channels purified from rat brain and reconstituted into planar lipid bilayers were recorded. The kinetics of channel gating were investigated in the presence of batrachotoxin to eliminate inactivation and an analysis was conducted on membranes with a single active channel at any given time. Channel opening is favored by depolarization and is strongly voltage dependent. Probability density analysis of dwell times in the closed and open states of the channel indicates the occurrence of one open state and several distinct closed states in the voltage (V) range-120 mV less than or equal to V less than or equal to +120 mV. For V less than or equal to 0, the transition rates between stages are exponentially dependent on the applied voltage, as described in mouse neuroblastoma cells (Huang, L. M., N. Moran, and G. Ehrenstein. 1984. Biophysical Journal. 45:313-322). In contrast, for V greater than or equal to 0, the transition rates are virtually voltage independent. Autocorrelation analysis (Labarca, P., J. Rice, D. Fredkin, and M. Montal. 1985. Biophysical Journal. 47:469-478) shows that there is no correlation in the durations of successive open or closing events. Several kinetic schemes that are consistent with the experimental data are considered. This approach may provide information about the mechanism underlying the voltage dependence of channel activation.     

Depolarization-induced slowing of Ca2+ channel deactivation in squid neurons.

Properties of squid giant fiber lobe (GFL) Ca2+ channel deactivation (closing) were studied using whole-cell voltage clamp. Tail currents displayed biexponential decay, and fast and slow components of these tails exhibited similar external Ca(2+)- and voltage-dependence. Both components also shared similar inactivation properties. Increasing duration pulses to strongly depolarizing potentials caused a substantial slowing of the rate of deactivation for the fast component, and also led to an apparent conversion of fast tail currents to slow without an increase in total tail amplitude. A five-state kinetic model that computed the closing of channels differentially populating two open states could simulate the kinetic characteristics of GFL Ca2+ pulse and tail currents over a wide voltage range. The kinetics of the proposed state transition was very similar to the time course of relief of omega-Agatoxin IVA Ca2+ channel block with long pulses. A similar model predicted that the relief of block could occur via faster toxin dissociation from the second open state. Thus, GFL Ca2+ channels possess a unique form of voltage-dependent gating modification, in which maintained prior depolarization leads to a significant delay to channel closure at negative potentials. At the nerve terminal, amplified Ca2+ signals generated by such a mechanism might alter synaptic responses to repetitive stimulation.     

Gating kinetics of batrachotoxin-modified sodium channels in neuroblastoma cells determined from single-channel measurements

We have observed the opening and closing of single batrachotoxin (BTX)-modified sodium channels in neuroblastoma cells using the patch-clamp method. The conductance of a single BTX-modified channel is approximately 10 pS. At a given membrane potential, the channels are open longer than are normal sodium channels. As is the case for normal sodium channels, the open dwell times become longer as the membrane is depolarized. For membrane potentials more negative than about -70 mV, histograms of both open-state dwell times and closed-state dwell times could be fit by single exponentials. For more depolarized potentials, although the open-state histograms could still be fit by single exponentials, the closed-state histograms required two exponentials. This data together with macroscopic voltage clamp data on the same system could be accounted for by a three-state closed-closed-open model with transition rates between these states that are exponential functions of membrane potential. One of the implications of this model, in agreement with experiment, is that there are always some closed BTX-modified sodium channels, regardless of membrane potential.     

Statistical analysis of single sodium channels. Effects of N-bromoacetamide

Currents were obtained from single sodium channels in outside-out excised patches of membrane from the cell line GH3. The currents were examined in control patches and in patches treated with N- bromoacetamide ( NBA ) to remove inactivation. The single-channel current-voltage relationship was linear over the range -60 to + 10 mV, and was unaffected by NBA . The slope conductance at 9.3 degrees C was 12 pS, and the Q10 for single channel currents was about 1.35. The currents in both control and NBA -treated patches showed evidence of a slow process similar to desensitization in acetylcholine-receptor channels. This process was especially apparent at rapid rates of stimulation (5 Hz), where openings occurred in clusters of records. The clustering of records with and without openings was analyzed by runs analysis, which showed a statistically significant trend toward nonrandom ordering in the responses of channels to voltage pulses. NBA made this nonrandom pattern more apparent. The probability that an individual channel was "hibernating" during an activating depolarization was estimated by a maximum likelihood method. The lifetime of the open state was also estimated by a maximum likelihood method, and was examined as a function of voltage. In control patches the open time was mildly voltage-dependent, showing a maximum at about -50 mV. In NBA -treated patches the open time was greater than in the control case and increased monotonically with depolarization; it asymptotically approached that of the control patches at hyperpolarized potentials. By comparing channel open times in control and NBA -treated patches, we determined beta A and beta I, the rate constants for closing activation gates and fast inactivation gates. Beta I was an exponential function of voltage, increasing e-fold for 34 mV. beta A had the opposite voltage dependence. The probability of an open channel closing its fast inactivation gate, rather than its activation gate, increased linearly with depolarization from -60 to -10 mV. These results indicate that inactivation is inherently voltage dependent.     

Use-dependent block of single sodium channels by lidocaine in guinea pig ventricular myocytes.

Single sodium channel openings have been recorded from cell-attached patches of isolated guinea pig ventricular myocytes. A paired pulse protocol was used to test the hypothesis that channel openings are required for lidocaine block. While the averaged ensemble current during the test pulse was much reduced, there was no correlation between the appearance of channel openings during the conditioning pulse and the subsequent test pulse. Analysis of single channel records demonstrated that the unit conductance of open channels was not changed by lidocaine. The block of ensemble INa was explained by roughly equal reductions in number of open channel events, and in the average duration of opening for each event. These results suggest that lidocaine binding to Na+ channels is dependent upon voltage, but may occur before channel opening. A lidocaine-modified channel can still open, but will be less likely to remain open than a drug-free channel. These results are consistent with block of a pre-open state of the channel.     

Batrachotoxin-modified sodium channels from squid optic nerve in planar bilayers. Ion conduction and gating properties

Squid optic nerve sodium channels were characterized in planar bilayers in the presence of batrachotoxin (BTX). The channel exhibits a conductance of 20 pS in symmetrical 200 mM NaCl and behaves as a sodium electrode. The single-channel conductance saturates with increasing the concentration of sodium and the channel conductance vs. sodium concentration relation is well described by a simple rectangular hyperbola. The apparent dissociation constant of the channel for sodium is 11 mM and the maximal conductance is 23 pS. The selectivity determined from reversal potentials obtained in mixed ionic conditions is Na+ approximately Li+ greater than K+ greater than Rb+ greater than Cs+. Calcium blocks the channel in a voltage-dependent manner. Analysis of single-channel membranes showed that the probability of being open (Po) vs. voltage relation is sigmoidal with a value of 0.5 between -90 and -100 mV. The fitting of Po requires at least two closed and one open state. The apparent gating charge required to move through the whole transmembrane voltage during the closed-open transition is four to five electronic charges per channel. Distribution of open and closed times are well described by single exponentials in most of the voltage range tested and mean open and mean closed times are voltage dependent. The number of charges associated with channel closing is 1.6 electronic charges per channel. Tetrodotoxin blocked the BTX-modified channel being the blockade favored by negative voltages. The apparent dissociation constant at zero potential is 16 nM. We concluded that sodium channels from the squid optic nerve are similar to other BTX-modified channels reconstituted in bilayers and to the BTX-modified sodium channel detected in the squid giant axon.     

Kinetics of interaction of disopyramide with the cardiac sodium channel: Fast dissociation from open channels at normal rest potentials

Block of cardiac sodium channels is enhanced by repetitive depolarization. It is not clear whether the changes in drug binding result from a change in affinity that is dependent on voltage or on the actual state of the channel. This question was examined in rabbit ventricular myocytes by analyzing the kinetics of block of single sodium channel currents with normal gating kinetics or channels with inactivation and deactivation slowed by pyrethrin toxins. At −20 and −40 mV, disopyramide 100 μm blocked the unmodified channel. Mean open time decreased45 and34% at −20 and −40 mV during exposure to disopyramide. Exposure of cells to the pyrethrin toxins deltamethrin or fenvalrate caused at least a tenfold increase in mean open time, and prominent tail currents could be recorded at the normal resting potential. The association rate constant of disopyramide for the normal and modified channel at −20 mV was similar, ∼10×10⁶/m/sec. During exposure to disopyramide, changes in open and closed times and in open channel noise at −80 and −100 mV are consistent with fast block and unblocking events at these potentials. This contrasts with the slow unbinding of drug from resting channels at similar potentials. We conclude that the sodium channel state is a critical determinant of drug binding and unbinding kinetics.     

Calcium- and voltage-activated potassium channels in human macrophages.

Single calcium-activated potassium channel currents were recorded in intact and excised membrane patches from cultured human macrophages. Channel conductance was 240 pS in symmetrical 145 mM K+ and 130 pS in 5 mM external K+. Lower conductance current fluctuations (40% of the larger channels) with the same reversal potential as the higher conductance channels were noted in some patches. Ion substitution experiments indicated that the channel is permeable to potassium and relatively impermeable to sodium. The frequency of channel opening increased with depolarization and intracellular calcium concentration. At 10(-7) M (Ca++)i, channel activity was evident only at potentials of +40 mV or more depolarized, while at 10(-5) M, channels were open at all voltages tested (-40 to +60 mV). In intact patches, channels were seen at depolarized patch potentials of +50 mV or greater, indicating that the ionized calcium concentration in the macrophage is probably less than 10(-7) M.     

Inactivation of the sodium channel. I. Sodium current experiments

Inactivation of sodium conductance has been studied in squid axons with voltage clamp techniques and with the enzyme pronase which selectively destroys inactivation. Comparison of the sodium current before and after pronase treatment shows a lag of several hundred microseconds in the onset of inactivation after depolarization. This lag can of several hundred microseconds in the onset of inactivation after polarization. This lag can also be demonstrated with double-pulse experiments. When the membrane potential is hyperpolarized to -140 mV before depolarization, both activation and inactivation are delayed. These findings suggest that inactivation occurs only after activation are delayed. These findings suggest that inactivation occurs only after activation; i.e. that the channels must open before they can inactivate. The time constant of inactivation measured with two pulses (τ(c)) is the same as the one measured from the decay of the sodium current during a single pulse (τ(h)). For large depolarizations, steady-state inactivation becomes more incomplete as voltage increases; but it is relatively complete and appears independent of voltage when determined with a two- pulse method. This result confirms the existence of a second open state for Na channels, as proposed by Chandler and Meves (1970. J. Physiol. [Lond.]. 211:653-678). The time constant of recovery from inactivation is voltage dependent and decreases as the membrane potential is made more negative. A model for Na channels is presented which has voltage-dependent transitions between the closed and open states, and a voltage-independent transition between the open and the inactivated state. In this model the voltage dependence of inactivation is a consequence of coupling to the activation process.     

Covariance of nonstationary sodium current fluctuations at the node of Ranvier.

A theory is presented which relates the nonstationary autocovariance (covariance) function to the kinetics of independently-gated ionic channels. The experimental covariance was calculated from ensembles of 256--504 current records elicited from single, voltage-clamped, frog myelinated nerve fibers. Analysis of the covariance shows that the decay of channels from conducting to nonconducting states proceeds more slowly late in a depolarization to near 0 mV, as compared with early in the same depolarization. This behavior is inconsistent with there being only one kinetic state corresponding to the open channel. The behavior can be explained by the existence of multiple kinetic states corresponding to the open channel, or, alternatively, by the existence of multiple, kinetically distinct populations of channels.     

Evidence for multiple open states of sodium channels in neuroblastoma cells

Summary Open times of voltage-gated sodium channels in neuroblastoma cells were measured during repolarization (following a short depolarizing conditioning pulse) and during moderate depolarization. Conditional and unconditional channel open-time histograms were best fitted by the sum of two exponentials. (The conditional open time was measured from the end of the conditioning pulse until an open channel shuts provided it was open att=0). Time constants of both histograms depended on the postpulse and were shifted to more positive potentials with increasing conditioning pulse potential. This shift could be explained by assuming more than two time constants in the histograms, which could not be separated. Channel open-time histograms from single-pulse experiments showed a maximum att>0. These histograms could be best fitted by an exponential function with three time constants. One term of this function included the difference of two exponentials resulting in a maximum att>0. Open-time histograms showed a definite time dependence. At 2 to 6.5 msec after the beginning of the depolarization the best fit could be obtained by the difference of two exponentials. To these components another term had to be added at 0 to 2 msec. Between 6.5 and 14.0 msec the sum of two exponentials, and after 14.0 msec a single exponential resulted in a good fit. The results support the hypothesis that sodium channels in neuroblastoma cells may have multiple open states. Two of these states are irreversibly coupled.     

Can presynaptic depolarization release transmitter without calcium influx?

Recent experimental evidence suggesting that presynaptic depolarization can evoke transmitter release without calcium influx has been re-examined. The presynaptic terminal of the squid giant synapse can be depolarized by variable amounts while recording presynaptic calcium current under voltage clamp and postsynaptic responses. Small depolarizations open few calcium channels with large single channel currents. Large depolarizations approaching the calcium equilibrium potential open many channels with small single channel currents. When responses to small and large depolarizations eliciting similar total macroscopic calcium currents are compared, the large pulses evoke more transmitter release. This apparent voltage-dependence of transmitter release may be explained by the greater overlap of calcium concentration domains surrounding single open calcium channels when many closely apposed channels open at large depolarizations. This channel domain overlap leads to higher calcium concentrations at transmitter release sites and more release for large depolarizations than for small depolarizations which open few widely dispersed channels. At neuromuscular junctions, a subthreshold depolarizing pulse to motor nerve terminals may release over a thousand times as much transmitter if it follows a brief train of presynaptic action potentials than if it occurs in isolation. This huge synaptic facilitation has been taken as indicative of a direct effect of voltage which is manifest only when prior activity raises presynaptic resting calcium levels. This large facilitation is actually due to a post-tetanic supernormal excitability in motor nerve terminals, causing the previously subthreshold test pulse to become suprathreshold and elicit a presynaptic action potential. When motor nerve terminals are depolarized by two pulses, as the first pulse increases above a certain level it evokes more transmitter release but less facilitation of the response to the second pulse.(ABSTRACT TRUNCATED AT 250 WORDS)     

Inactivation viewed through single sodium channels

Recordings of the sodium current in tissue-cultured GH3 cells show that the rate of inactivation in whole cell and averaged single channel records is voltage dependent: tau h varied e-fold/approximately 26 mV. The source of this voltage dependence was investigated by examining the voltage dependence of individual rate constants, estimated by maximum likelihood analysis of single channel records, in a five-state kinetic model. The rate constant for inactivating from the open state, rather than closing, increased with depolarization, as did the probability that an open channel inactivates. The rate constant for closing from the open state had the opposite voltage dependence. Both rate constants contributed to the mean open time, which was not very voltage dependent. Both open time and burst duration were less than tau h for voltages up to -20 mV. The slowest time constant of activation, tau m, was measured from whole cell records, by fitting a single exponential either to tail currents or to activating currents in trypsin-treated cells, in which the inactivation was abolished. tau m was a bell-shaped function of voltage and had a voltage dependence similar to tau h at voltages more positive than -35 mV, but was smaller than tau h. At potentials more negative than about -10 mV, individual channels may open and close several times before inactivating. Therefore, averaged single channel records, which correspond with macroscopic current elicited by a depolarization, are best described by a convolution of the first latency density with the autocorrelation function rather than with 1 - (channel open time distribution). The voltage dependence of inactivation from the open state, in addition to that of the activation process, is a significant factor in determining the voltage dependence of macroscopic inactivation. Although the rates of activation and inactivation overlapped greatly, independent and coupled inactivation could not be statistically distinguished for two models examined. Although rates of activation affect the observed rate of inactivation at intermediate voltages, extrapolation of our estimates of rate constants suggests that at very depolarized voltages the activation process is so fast that it is an insignificant factor in the time course of inactivation. Prediction of gating currents shows that an inherently voltage-dependent inactivation process need not produce a conspicuous component in the gating current.     

Modal behavior of the mu 1 Na+ channel and effects of coexpression of the beta 1-subunit.

The adult rat skeletal muscle Na+ channel alpha-subunit (mu 1) appears to gate modally with two kinetic schemes when the channel is expressed in Xenopus oocytes. In the fast mode mu 1 single channels open only once or twice per depolarizing pulse, but in the slow mode the channels demonstrate bursting behavior. Slow-mode gating was favored by hyperpolarized holding potentials and slow depolarizing rates, whereas fast-mode gating was favored by depolarized holding potentials and rapid depolarizations. Single-channel studies showed that coexpression of beta 1 reduces slow-mode gating, so that channels gate almost exclusively in the fast mode. Analysis of open-time histograms showed that mu 1 and mu 1 + beta 1 both have two open-time populations with the same mean open times (MOTs). The difference lies in the relative sizes of the long and short MOT components. When beta 1 was coexpressed with mu 1 in oocytes, the long MOT fraction was greatly reduced. It appears that although mu 1 and mu 1 + beta 1 share the same two open states, the beta 1-subunit favors the mode with the shorter open state. Examination of first latencies showed that it is likely that the rate of activation is increased upon coexpression with beta 1. Experiments also showed that the rate of activation for the fast mode of mu 1 is identical to that for mu 1 + beta 1 and is thus more rapid than the rate of activation for the slow mode. It can be concluded that beta 1 restores native-like kinetics in mu 1 by favoring the fast-gating mode.     

Glutamate receptor-channel gating. Maximum likelihood analysis of gigaohm seal recordings from locust muscle.

Gigaohm recordings have been made from glutamate receptor channels in excised, outside-out patches of collagenase-treated locust muscle membrane. The channels in the excised patches exhibit the kinetic state switching first seen in megaohm recordings from intact muscle fibers. Analysis of channel dwell time distributions reveals that the gating mechanism contains at least four open states and at least four closed states. Dwell time autocorrelation function analysis shows that there are at least three gateways linking the open states of the channel with the closed states. A maximum likelihood procedure has been used to fit six different gating models to the single channel data. Of these models, a cooperative model yields the best fit, and accurately predicts most features of the observed channel gating kinetics.     

Effect of N-bromoacetamide on single sodium channel currents in excised membrane patches

We have studied the effect of N-bromoacetamide (NBA) on the behavior of single sodium channel currents in excised patches of rat myotube membrane at 10 degree C. Inward sodium currents were activated by voltage steps from holding potentials of about -100 mV to test potentials of -40 mV. The cytoplasmic-face solution was isotonic CsF. Application of NBA or pronase to the cytoplasmic face of the membrane irreversibly removed sodium channel inactivation, as determined by averaged single-channel records. Teh lifetime of the open channel at - 40 mV was increased about 10-fold by NBA treatment without affecting the amplitude of single-channel currents. A binomial analysis was used both before and after treatment to determine the number of channels within the excised patch. NBA was shown to have little effect on activation kinetics, as determined by an examination of both the rising phase of averaged currents and measurements f the delay between the start of the pulse and the first channel opening. Our data support a kinetic model of sodium channel activation in which the rate constant leading back from the open state to the last closed state is slower than expected from a strict Hodgkin-Huxley model. The data also suggest that the normal open-channel lifetime is primarily determined by the inactivation process in the voltage range we have examined.     

Gating of cardiac Na+ channels in excised membrane patches after modification by alpha-chymotrypsin.

Single cardiac Na+ channels were investigated after intracellular proteolysis to remove the fast inactivation process in an attempt to elucidate the mechanisms of channel gating and the role of slow inactivation. Na+ channels were studied in inside-out patches excised from guinea-pig ventricular myocytes both before and after very brief exposure (2-4 min) to the endopeptidase, alpha-chymotrypsin. Enzyme exposure times were chosen to maximize removal of fast inactivation and to minimize potential nonspecific damage to the channel. After proteolysis, the single channel current-voltage relationship was approximately linear with a slope conductance of 18 +/- 2.5 pS. Na+ channel reversal potentials measured before and after proteolysis by alpha-chymotrypsin were not changed. The unitary current amplitude was not altered after channel modification suggesting little or no effect on channel conductance. Channel open times were increased after removal of fast inactivation and were voltage-dependent, ranging between 0.7 (-70 mV) and 3.2 (-10 mV) ms. Open times increased with membrane potential reaching a maximum at -10 mV; at more positive membrane potentials, open times decreased again. Fast inactivation appeared to be completely removed by alpha-chymotrypsin and slow inactivation became more apparent suggesting that fast and slow inactivation normally compete, and that fast inactivation dominates in unmodified channels. This finding is not consistent with a slow inactivated state that can only be entered through the fast inactivated state, since removal of fast inactivation does not eliminate slow inactivation. The data indicate that cardiac Na+ channels can enter the slow inactivated state by a pathway that bypasses the fast inactivated state and that the likelihood of entering the slow inactivated state increases after removal of fast inactivation.     

钾通道活化剂对豚鼠气道平滑肌电压依赖性钾通道特性的影响

钾通道活化剂可激活钾离子通道并松驰支气管平滑肌,在急性分离的豚鼠支气管平滑肌细胞上,用膜片钳技术的细胞贴附式和内面向外式研究了其对电压依赖性钾通道的直接作用。结果证实：在全细胞记录条件下,卡吗克林和拉吗克林不影响静息膜电位。但在去极化时可使通道电导从７５．２±５．１ｐＳ分别增大到８５．９±１１．８ｐＳ和８２．１±５．５ｐＳ。通道动力学特性也发生了改变,通道平均开放时间的τｏ２值延长和开放概率显著增加,其中拉吗克林的作用更为强。两者均可诱发通道出现多级开放。表明这两类活化剂可使去极化时钾离子外流增加。     

Ca2+ currents in cerebral artery smooth muscle cells of rat at physiological Ca2+ concentrations

Single Ca2+ channel and whole cell currents were measured in smooth muscle cells dissociated from resistance-sized (100-microns diameter) rat cerebral arteries. We sought to quantify the magnitude of Ca2+ channel currents and activity under the putative physiological conditions of these cells: 2 mM [Ca2+]o, steady depolarizations to potentials between -50 and -20 mV, and (where possible) without extrinsic channel agonists. Single Ca2+ channel conductance was measured over a broad range of Ca2+ concentrations (0.5-80 mM). The saturating conductance ranged from 1.5 pS at 0.5 mM to 7.8 pS at 80 mM, with a value of 3.5 pS at 2 mM Ca (unitary currents of 0.18 pA at -40 mV). Both single channel and whole cell Ca2+ currents were measured during pulses and at steady holding potentials. Ca2+ channel open probability and the lower limit for the total number of channels per cell were estimated by dividing the whole-cell Ca2+ currents by the single channel current. We estimate that an average cell has at least 5,000 functional channels with open probabilities of 3.4 x 10(-4) and 2 x 10(-3) at -40 and -20 mV, respectively. An average of 1-10 (-40 mV and -20 mV, respectively) Ca2+ channels are thus open at physiological potentials, carrying approximately 0.5 pA steady Ca2+ current at -30 mV. We also observed a very slow reduction in open probability during steady test potentials when compared with peak pulse responses. This 4- 10-fold reduction in activity could not be accounted for by the channel's normal inactivation at our recording potentials between -50 and -20 mV, implying that an additional slow inactivation process may be important in regulating Ca2+ channel activity during steady depolarization.