Batrachotoxin uncouples gating charge immobilization from fast Na inactivation in squid giant axons.

The fast inactivation of sodium currents and the immobolization of sodium gating charge are thought to be closely coupled to each other. This notion was tested in the squid axon in which kinetics and steady-state properties of the gating charge movement were compared before and after removal of the Na inactivation by batrachotoxin (BTX), pronase, or chloramine-T. The immobilization of gating charge was determined by measuring the total charge movement (QON) obtained by integrating the ON gating current (Ig,ON) using a double pulse protocol. After removal of the fast inactivation with pronase or chloramine-T, the gating charge movement was no longer immobilized. In contrast, after BTX modification, the channels still exhibited an immobilization of the gating charge (QON) with an onset time course and voltage dependence similar to that for the activation process. These results show that BTX can uncouple the charge immobilization from the fast Na inactivation mechanism, suggesting that the Na gating charge movement can be immobilized independently of the inactivation of the channel.     

BTX modification of Na channels in squid axons. I. State dependence of BTX action

The state dependence of Na channel modification by batrachotoxin (BTX) was investigated in voltage-clamped and internally perfused squid giant axons before (control axons) and after the pharmacological removal of the fast inactivation by pronase, chloramine-T, or NBA (pretreated axons). In control axons, in the presence of 2-5 microM BTX, a repetitive depolarization to open the channels was required to achieve a complete BTX modification, characterized by the suppression of the fast inactivation and a simultaneous 50-mV shift of the activation voltage dependence in the hyperpolarizing direction, whereas a single long-lasting (10 min) depolarization to +50 mV could promote the modification of only a small fraction of the channels, the noninactivating ones. In pretreated axons, such a single sustained depolarization as well as the repetitive depolarization could induce a complete modification, as evidenced by a similar shift of the activation voltage dependence. Therefore, the fast inactivated channels were not modified by BTX. We compared the rate of BTX modification of the open and slow inactivated channels in control and pretreated axons using different protocols: (a) During a repetitive depolarization with either 4- or 100-ms conditioning pulses to +80 mV, all the channels were modified in the open state in control axons as well as in pretreated axons, with a similar time constant of approximately 1.2 s. (b) In pronase-treated axons, when all the channels were in the slow inactivated state before BTX application, BTX could modify all the channels, but at a very slow rate, with a time constant of approximately 9.5 min. We conclude that at the macroscopic level BTX modification can occur through two different pathways: (a) via the open state, and (b) via the slow inactivated state of the channels that lack the fast inactivation, spontaneously or pharmacologically, but at a rate approximately 500-fold slower than through the main open channel pathway.     

A molecular link between activation and inactivation of sodium channels

A pair of tyrosine residues, located on the cytoplasmic linker between the third and fourth domains of human heart sodium channels, plays a critical role in the kinetics and voltage dependence of inactivation. Substitution of these residues by glutamine (Y1494Y1495/QQ), but not phenylalanine, nearly eliminates the voltage dependence of the inactivation time constant measured from the decay of macroscopic current after a depolarization. The voltage dependence of steady state inactivation and recovery from inactivation is also decreased in YY/QQ channels. A characteristic feature of the coupling between activation and inactivation in sodium channels is a delay in development of inactivation after a depolarization. Such a delay is seen in wild-type but is abbreviated in YY/QQ channels at -30 mV. The macroscopic kinetics of activation are faster and less voltage dependent in the mutant at voltages more negative than -20 mV. Deactivation kinetics, by contrast, are not significantly different between mutant and wild-type channels at voltages more negative than -70 mV. Single-channel measurements show that the latencies for a channel to open after a depolarization are shorter and less voltage dependent in YY/QQ than in wild-type channels; however the peak open probability is not significantly affected in YY/QQ channels. These data demonstrate that rate constants involved in both activation and inactivation are altered in YY/QQ channels. These tyrosines are required for a normal coupling between activation voltage sensors and the inactivation gate. This coupling insures that the macroscopic inactivation rate is slow at negative voltages and accelerated at more positive voltages. Disruption of the coupling in YY/QQ alters the microscopic rates of both activation and inactivation.     

Gating of Na channels. Inactivation modifiers discriminate among models

Macroscopic Na currents were recorded from N18 neuroblastoma cells by the whole-cell voltage-clamp technique. Inactivation of the Na currents was removed by intracellular application of proteolytic enzymes, trypsin, alpha-chymotrypsin, papain, or ficin, or bath application of N-bromoacetamide. Unlike what has been reported in squid giant axons and frog skeletal muscle fibers, these treatments often increased Na currents at all test pulse potentials. In addition, removal of inactivation gating shifted the midpoint of the peak Na conductance-voltage curve in the negative direction by 26 mV on average and greatly prolonged the rising phase of Na currents for small depolarizations. Polypeptide toxins from Leiurus quinquestriatus scorpion and Goniopora coral, which slow inactivation in adult nerve and muscle cells, also increase the peak Na conductance and shift the peak conductance curve in the negative direction by 7-10 mV in neuroblastoma cells. Control experiments argue against ascribing the shifts to series resistance artifacts or to spontaneous changes of the voltage dependence of Na channel kinetics. The negative shift of the peak conductance curve, the increase of peak Na currents, and the prolongation of the rise at small depolarization after removal of inactivation are consistent with gating kinetic models for neuroblastoma cell Na channels, where inactivation follows nearly irreversible activation with a relatively high, voltage-independent rate constant and Na channels open only once in a depolarization. As the same kind of experiment does not give apparent shifting of activation and prolongation of the rising phase of Na currents in adult axon and muscle membranes, the Na channels of these other membranes probably open more than once in a depolarization.     

Sodium channel activation in the squid giant axon. Steady state properties

Treatment of giant axons from the squid, Loligo pealei, with pronase removes Na channel inactivation. It was found that the peak Na current is increased, but the activation kinetics are not significantly altered, by pronase. Measurements of the fraction of open channels as a function of voltage (F-V) showed an e-folding at 7 mV and a center point near -15 mV. The rate of e-folding implies that a minimum of 4 e-/channel must cross the membrane field to open the channel. The charge vs. voltage (Q-V) curve measured in a pronase-treated axon is not significantly different from that measured when inactivation is intact: approximately 1,850 e-/micron2 were measured over the voltage range -150 to 50 mV, and the center point was near -30 mV. Normalizing these two curves (F-V and Q-V) and plotting them together reveals that they cross when inactivation is intact but saturate together when inactivation is removed. This illustrates the error one makes when measuring peak conductance with intact inactivation and interpreting that to be the fraction of open channels. A model is described that was used to interpret these results. In the model, we propose that inactivation must be slightly voltage dependent and that an interaction occurs between the inactivating particle and the gating charge. A linear sequence of seven states (a single open state with six closed states) is sufficient to describe the data presented here for Na channel activation in pronase-treated axons.     

Rate of opening of a population of Na channels in frog skeletal muscle fibers

Linear Systems convolution analysis of muscle sodium currents was used to predict the opening rate of sodium channels as a function of time during voltage clamp pulses. If open sodium channel lifetimes are exponentially distributed, the channel opening rate corresponding to a sodium current obtained at any particular voltage, can be analytically obtained using a simple equation, given single channel information about the mean open-channel lifetime and current.Predictions of channel opening rate during voltage clamp pulses show that sodium channel inactivation arises coincident with a decline in channel opening rate.Sodium currents pharmacologically modified with Chloramine-T treatment so that they do not inactivate, show a predicted sustained channel opening rate.Large depolarizing voltage clamp pulses produce channel opening rate functions that resemble gating currents.The predicted channel opening rate functions are best described by kinetic models for Na channels which confer most of the charge movement to transitions between closed states.Comparisons of channel opening rate functions with gating currents suggests that there may be subtypes of Na channel with some contributing more charge movement per channel opening than others.Na channels open on average, only once during the transient period of Na activation and inactivation.After transiently opening during the activation period and then closing by entering the inactivated state, Na channels reopen if the voltage pulse is long enough and contribute to steady-state currents.The convolution model overestimates the opening rate of channels contributing to the steady-state currents that remain after the transient early Na current has subsided.     

Lidocaine block of cardiac sodium channels

Lidocaine block of cardiac sodium channels was studied in voltage-clamped rabbit purkinje fibers at drug concentrations ranging from 1 mM down to effective antiarrhythmic doses (5-20 μM). Dose-response curves indicated that lidocaine blocks the channel by binding one-to-one, with a voltage-dependent K(d). The half-blocking concentration varied from more than 300 μM, at a negative holding potential where inactivation was completely removed, to approximately 10 μM, at a depolarized holding potential where inactivation was nearly complete. Lidocaine block showed prominent use dependence with trains of depolarizing pulses from a negative holding potential. During the interval between pulses, repriming of I (Na) displayed two exponential components, a normally recovering component (τless than 0.2 s), and a lidocaine-induced, slowly recovering fraction (τ approximately 1-2 s at pH 7.0). Raising the lidocaine concentration magnified the slowly recovering fraction without changing its time course; after a long depolarization, this fraction was one-half at approximately 10 μM lidocaine, just as expected if it corresponded to drug-bound, inactivated channels. At less than or equal to 20 μM lidocaine, the slowly recovering fraction grew exponentially to a steady level as the preceding depolarization was prolonged; the time course was the same for strong or weak depolarizations, that is, with or without significant activation of I(Na). This argues that use dependence at therapeutic levels reflects block of inactivated channels, rather than block of open channels. Overall, these results provide direct evidence for the “modulated-receptor hypothesis” of Hille (1977) and Hondeghem and Katzung (1977). Unlike tetrodotoxin, lidocaine shows similar interactions with Na channels of heart, nerve, and skeletal muscle.     

Interactions among DIV voltage-sensor movement,fast inactivation,and resurgent Na current induced by the NaVβ4 open-channel blocking peptide

Resurgent Na current flows as voltage-gated Na channels recover through open states from block by an endogenous open-channel blocking protein, such as the Na_Vβ4 subunit. The open-channel blocker and fast-inactivation gate apparently compete directly, as slowing the onset of fast inactivation increases resurgent currents by favoring binding of the blocker. Here, we tested whether open-channel block is also sensitive to deployment of the DIV voltage sensor, which facilitates fast inactivation. We expressed Na_V1.4 channels in HEK293t cells and assessed block by a free peptide replicating the cytoplasmic tail of Na_Vβ4 (the “β4 peptide”). Macroscopic fast inactivation was disrupted by mutations of DIS6 (L443C/A444W; “CW” channels), which reduce fast-inactivation gate binding, and/or by the site-3 toxin ATX-II, which interferes with DIV movement. In wild-type channels, the β4 peptide competed poorly with fast inactivation, but block was enhanced by ATX. With the CW mutation, large peptide-induced resurgent currents were present even without ATX, consistent with increased open-channel block upon depolarization and slower deactivation after blocker unbinding upon repolarization. The addition of ATX greatly increased transient current amplitudes and further enlarged resurgent currents, suggesting that pore access by the blocker is actually decreased by full deployment of the DIV voltage sensor. ATX accelerated recovery from block at hyperpolarized potentials, however, suggesting that the peptide unbinds more readily when DIV voltage-sensor deployment is disrupted. These results are consistent with two open states in Na channels, dependent on the DIV voltage-sensor position, which differ in affinity for the blocking protein.     

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.     

Inactivation of the sodium channel. II. Gating current experiments

Gating current (Ig) has been studied in relation to inactivation of Na channels. No component of Ig has the time course of inactivation; apparently little or no charge movement is associated with this step. Inactivation nonetheless affects Ig by immobilizing about two-thirds of gating charge. Immobilization can be followed by measuring ON charge movement during a pulse and comparing it to OFF charge after the pulse. The OFF:ON ratio is near 1 for a pulse so short that no inactivation occurs, and the ratio drops to about one-third with a time course that parallels inactivation. Other correlations between inactivation and immobilization are that: (a) they have the same voltage dependence; (b) charge movement recovers with the time coures of recovery from inactivation. We interpret this to mean that the immobilized charge returns slowly to "off" position with the time course of recovery from inactivation, and that the small current generated is lost in base-line noise. At -150 mV recover is very rapid, and the immobilized charge forms a distinct slow component of current as it returns to off position. After destruction of inactivation by pronase, there is no immobilization of charge. A model is presented in which inactivation gains its voltage dependence by coupling to the activation gate.     

Gating of the squid sodium channel at positive potentials: II. Single channels reveal two open states.

Single-channel recordings from squid axon Na+ channels were made under conditions of reverse sodium gradient. In the range of potentials studied, +40-(+)120 mV, channels opened promptly after depolarization, closed and reopened several times during the pulse. In patches containing only one channel, the distributions of open dwell times showed two components showing the existence of a second open state. The ensemble average of single-channel records showed incomplete inactivation that became more pronounced at more positive potentials, showing that the maintained phase of the current is the result of only one type of sodium channel with two open states. Analysis of bursts indicated that the dwell times of the events at the onset of the depolarization are longer than those later in the pulse. The dwell open times of the first events could be fitted with a single exponential. This indicated that the channels open preferentially through the first open state, the access to the second open state happening subsequently. Maximum likelihood analysis was used to evaluate several possible kinetic schemes incorporating a second open state. The best model to fit the data from single channels, and consistent with the data from macroscopic and gating currents, has a second open state evolving from the inactivated state. A kinetic model is proposed that incorporates information obtained from dialyzed axons.     

Reopening of Ca2+ channels in mouse cerebellar neurons at resting membrane potentials during recovery from inactivation.

Recordings of single-channel activity from cerebellar granule cells show that a component of Ca2+ entry flows through L-type Ca2+ channels that are closed at negative membrane potentials following a strong depolarization, but then open after a delay. The delayed openings can be explained if membrane depolarization drives Ca2+ channels into an inactivated state and some channels return to rest through the open state after repolarization. Whole-cell recordings show that the charge carried by Ca2+ during the tail increases as inactivation progresses, whereas the current during the voltage step decreases. Voltage-dependent inactivation may be a general mechanism in central neurons for enhancing Ca2+ entry by delaying it until after repolarization, when the driving force for ion entry is large. Modifying the rate and extent of inactivation would have large effects on Ca2+ entry through those channels that recover from inactivation by passing through the open state.     

Anticonvulsants modify inactivation but not activation processes of sodium channels in Myxicola axons

The effects of pronase and the anticonvulsant drugs diphenylhydantoin, bepridil, and sodium valproate on fast and slow Na+ inactivation were examined in cut-open Myxicola giant axons with loose patch-clamp electrodes applied to the internal surface. Pronase completely eliminated fast Na+ inactivation without affecting the kinetics of Na+ activation or the maximum Na+ conductance. The time and voltage dependences of slow inactivation following pronase treatment were identical to those measured before enzyme application in the same axons. All three anticonvulsants slowed the time course of recovery from fast Na+ inactivation in untreated axons, and shifted the steady-state fast inactivation curve in the hyperpolarizing direction along the voltage axis. Anticonvulsants enhanced steady-state slow inactivation and retarded recovery from slow inactivation in both untreated and pronase-treated axons. Although some quantitative differences were seen, the order of potency of the anticonvulsants on slow Na+ inactivation was the same as that for recovery from fast inactivation.     

Inactivation of voltage-gated delayed potassium current in molluscan neurons. A kinetic model.

Voltage-gated delayed potassium current in molluscan neurons is characterized by a marked inactivation. Inactivation can accumulate between repetitive pulses, giving rise to current patterns in which the maximum current during a second voltage pulse is less than the current at the end of the preceding pulse (cumulative inactivation). Other features of inactivation of this current include an onset time-course that can be characterized by the sum of two exponential processes and an early minimum in the recovery-vs.-time curve. A simple four-state model is developed that can, when supplied with rate constants derived from voltage-clamp experiments, reproduce these features of inactivation. The model incorporates state-dependent inactivation rates. Upon depolarization, both open and closed channels can be inactivated, although inactivation of closed channels is much faster. Upon repolarization, recovery from inactivated states is sufficiently slow that little recovery occurs during a short interpulse interval. Cumulative inactivation comes about as a result of fast inactivation during the second pulse, further limiting the peak current from the level at the end of the previous pulse.     

Kinetics of intramembrane charge movement and conductance activation of batrachotoxin-modified sodium channels in frog node of Ranvier

Sodium current and intramembrane gating charge movement (Q) were monitored in voltage-clamped frog node of Ranvier after modification of all sodium channels by batrachotoxin (BTX). Sodium current activation followed a single-exponential time course, provided a delay was interposed between the onset of the step ON depolarization and that of the current change. The delay decreased with increased ON depolarization and, for a constant ON depolarization, increased with prehyperpolarization. ON charge movement followed a single-exponential time course with time constants tau Q,ON slightly larger than tau Na, ON. For pulses between -70 and -50 mV, tau Q,ON/tau Na,ON = 1.14 +/- 0.08. The OFF charge movement and OFF sodium current tails after a depolarizing pulse followed single-exponential time courses, with tau Q, OFF larger than tau Na, OFF. tau Q,OFF/tau Na,OFF increased with OFF voltage from 1 near -100 mV to 2 near -160 mV. At a set OFF potential (-120 mV), both tau Q,OFF and tau Na,OFF increased with ON pulse duration. The delay in INa activation and the effect of ON pulse duration on tau Q,OFF and tau Na,OFF are inconsistent with a simple two-state, single-transition model for the gating of batrachotoxin-modified sodium channels.     

Fast and slow steps in the activation of sodium channels

Kinetic features of sodium conductance (gNa) and associated gating current (Ig) were studied in voltage-clamped, internally perfused squid axons. Following a step depolarization Ig ON has several kinetic components: (a) a rapid, early phase largely preceding gNa turn-on; (b) a delayed intermediate component developing as gNa increases; and (c) a slow component continuing after gNa is fully activated. With small depolarizations the early phase shows a quick rise (less than 40 mus) and smooth decay; the slow component is not detectable. During large pulses all three components are present, and the earliest shows a rising phase or initial plateau lasting approximately 80 mus. Steady-state and kinetic features of Ig are minimally influenced by control pulse currents, provided controls are restricted to a sufficiently negative voltage range. Ig OFF following a strong brief pulse also shows a rising phase. A depolarizing prepulse producing gNa inactivation and Ig immobilization eliminates the rising phase of Ig OFF. gNa, the immobilized portion of Ig ON, and the rising phase reappear with similar time-courses when tested with a second depolarizing pulse after varying periods of repolarization. 30 mM external ZnCl2 delays and slows gNa activation, prolongs the rising phase, and slows the subsequent decay of Ig ON. Zn does not affect the kinetics of gNa tails or Ig OFF as channels close, however. We present a sequential kinetic model of Na channel activation, which adequately describes the observations. The rapid early phase of IgON is generated by a series of several fast steps, while the intermediate component reflects a subsequent step. The slow component is too slow to be clearly associated with gNa activation.     

Kinetic analysis of pancuronium interaction with sodium channels in squid axon membranes

The interaction of pancuronium with sodium channels was investigated in squid axons. Sodium current turns on normally but turns off more quickly than the control with pancuronium 0.1-1mM present internally; The sodium tail current associated with repolarization exhibits an initial hook and then decays more slowly than the control. Pancuronium induces inactivation after the sodium inactivation has been removed by internal perfusion of pronase. Such pancuronium-induced sodium inactivation follows a single exponential time course, suggesting first order kinetics which represents the interaction of the pancuronium molecule with the open sodium channel. The rate constant of association k with the binding site is independent of the membrane potential ranging from 0 to 80 mV, but increases with increasing internal concentration of pancuronium. However, the rate constant of dissociation l is independent of internal concentration of pancuronium but decreases with increasing the membrane potential. The voltage dependence of l is not affected by changine external sodium concentration, suggesting a current-independent conductance block, The steady-state block depends on the membrane potential, being more pronounced with increasing depolarization, and is accounted for in terms of the voltage dependence of l. A kinetic model, based on the experimental observations and the assumption on binding kinetics of pancuronium with the open sodium channel, successfully simulates many features of sodium current in the presence of pancuronium.     

Effects of KC 3791 on sodium and potassium channels in frog node of Ranvier

Effects of a new antiarrhytmic compound KC 3791 on sodium (INa) and potassium (IK) currents were studied in frog myelinated nerve fibres under voltage clamp conditions. When applied externally to the node of Ranvier, KC 3791 (KC) at concentrations of 10(-5)-10(-4) mol.l-1 produced both tonic and cumulative (use-dependent) inhibition of INa. An analysis of the frequency-, voltage- and time dependence of cumulative block by KC suggested that this block resulted from a voltage-dependent interaction of the drug with open Na channels. The progressive decrease in INa during repetitive pulsing was due to accumulation of Na channels in the resting-blocked state: closing of the activation gate after the end of each depolarizing pulse stabilized the KC-"receptor" complex. To unblock these channels a prolonged washing of the node had to be combined with a subsequent repetitive stimulation of the membrane; this suggested that channel could not become cleared of the blocker unless the activation gate has opened. KC also proved to be capable of blocking open K channels at outwardly directed potassium currents (IK). This block increased during membrane depolarization. Unblocking of K channels after the end of a depolarizing pulse proceeded much faster than unblocking of Na channels under identical conditions. Cumulative inhibition of outward IK during high-frequency membrane stimulation was therefore readily reversible upon a decrease in pulsing frequency.     

Activation and inactivation of batrachotoxin-modified sodium channels in the frog nerve fiber membrane

Currents through batrachotoxin (BTX)-modified sodium channels were measured under voltage clamp conditions on the Ranvier node membrane. Potential-dependence of the fraction of activated BTX-modified channels was determined on the basis of data showing nonlinearity of the momentary current-voltage characteristic curve in the region of high negative potentials. BTX induces a shift of the sodium channel activation curve toward negative potentials on average by 67 mV, but does not, under these circumstances, alter the potential-sensitivity of their activation mechanism. The results of experiments with preliminary depolarization, of varied amplitude and duration, showed that BTX-modified sodium channels are capable of partial inactivation. The high level of steady-state conduction of the modified channels is evidently due to the fact that as a result of modification by BTX the open state of the channel becomes energetically more advantageous than the inactivated state. It is concluded that the action of BTX on inactivation differs in principle from the action of pronase.Institute of Cytology, Academy of Sciences of the USSR, Leningrad. A. V. Vishnevskii Institute of Surgery, Academy of Medical Sciences of the USSR, Moscow. Translated from Neirofiziologiya, Vol. 16, No. 1, pp. 18–26. January–February, 1984.     

Fast activation of dihydropyridine-sensitive calcium channels of skeletal muscle. Multiple pathways of channel gating

Dihydropyridine (DHP) receptors of the transverse tubule membrane play two roles in excitation-contraction coupling in skeletal muscle: (a) they function as the voltage sensor which undergoes fast transition to control release of calcium from sarcoplasmic reticulum, and (b) they provide the conducting unit of a slowly activating L-type calcium channel. To understand this dual function of the DHP receptor, we studied the effect of depolarizing conditioning pulse on the activation kinetics of the skeletal muscle DHP-sensitive calcium channels reconstituted into lipid bilayer membranes. Activation of the incorporated calcium channel was imposed by depolarizing test pulses from a holding potential of -80 mV. The gating kinetics of the channel was studied with ensemble averages of repeated episodes. Based on a first latency analysis, two distinct classes of channel openings occurred after depolarization: most had delayed latencies, distributed with a mode of 70 ms (slow gating); a small number of openings had short first latencies, < 12 ms (fast gating). A depolarizing conditioning pulse to +20 mV placed 200 ms before the test pulse (-10 mV), led to a significant increase in the activation rate of the ensemble averaged-current; the time constant of activation went from tau m = 110 ms (reference) to tau m = 45 ms after conditioning. This enhanced activation by the conditioning pulse was due to the increase in frequency of fast open events, which was a steep function of the intermediate voltage and the interval between the conditioning pulse and the test pulse. Additional analysis demonstrated that fast gating is the property of the same individual channels that normally gate slowly and that the channels adopt this property after a sojourn in the open state. The rapid secondary activation seen after depolarizing prepulses is not compatible with a linear activation model for the calcium channel, but is highly consistent with a cyclical model. A six- state cyclical model is proposed for the DHP-sensitive Ca channel, which pictures the normal pathway of activation of the calcium channel as two voltage-dependent steps in sequence, plus a voltage-independent step which is rate limiting. The model reproduced well the fast and slow gating models of the calcium channel, and the effects of conditioning pulses. It is possible that the voltage-sensitive gating transitions of the DHP receptor, which occur early in the calcium channel activation sequence, could underlie the role of the voltage sensor and yield the rapid excitation-contraction coupling in skeletal muscle, through either electrostatic or allosteric linkage to the ryanodine receptors/calcium release channels.