Markovian models of low and high activity levels of cardiac ryanodine receptors

The modal gating behavior of single sheep cardiac sarcoplasmic reticulum (SR) Ca2+-release/ryanodine receptor (RyR) channels was assessed. We find that the gating of RyR channels spontaneously shifts between high (H) and low (L) levels of activity and inactive periods where no channel openings are detected (I). Moreover, we find that there is evidence for multiple gating modes within H activity, which we term H1 and H2 mode. Our results demonstrate that the underlying mechanisms regulating gating are similar in native and purified channels. Dwell-time distributions of L activity were best fitted by three open and five closed significant exponential components whereas dwell-time distributions of H1 activity were best fitted by two to three open and four closed significant exponential components. Increases in cytosolic [Ca2+] cause an increase in open probability (Po) within L activity and an increase in the probability of occurrence of H activity. Open lifetime distributions within L activity were Ca2+ independent whereas open lifetime distributions within H activity were Ca2+ dependent. This study is the first attempt to estimate RyR single-channel kinetic parameters from sequences of idealized dwell-times and to develop kinetic models of RyR gating using the criterion of maximum likelihood. We propose distinct kinetic schemes for L, H1, and H2 activity that describe the major features of sheep cardiac RyR channel gating at these levels of activity.     

A minimal gating model for the cardiac calcium release channel.

A Markovian model of the cardiac Ca release channel, based on experimental single-channel gating data, was constructed to understand the transient nature of Ca release. The rate constants for a minimal gating scheme with one Ca-free resting state, and with two open and three closed states with one bound Ca2+, were optimized to simulate the following experimental findings. In steady state the channel displays three modes of activity: inactivated 1 mode without openings, low-activity L mode with single openings, and high-activity H mode with bursts of openings. At the onset of a Ca2+ step, the channel first activates in H mode and then slowly relaxes to a mixture of all three modes, the distribution of which depends on the new Ca2+. The corresponding ensemble current shows rapid activation, which is followed by a slow partial inactivation. The transient reactivation of the channel (increment detection) in response to successive additions of Ca2+ is then explained by the model as a gradual recruitment of channels from the extant pool of channels in the resting state. For channels in a living cell, the model predicts a high level of peak activation, a high extent of inactivation, and rapid deactivation, which could underlie the observed characteristics of the elementary release events (calcium sparks).     

Chicken skeletal muscle ryanodine receptor isoforms: ion channel properties.

To define the roles of the alpha- and beta-ryanodine receptor (RyR) (sarcoplasmic reticulum Ca2+ release channel) isoforms expressed in chicken skeletal muscles, we investigated the ion channel properties of these proteins in lipid bilayers. alpha- and beta RyRs embody Ca2+ channels with similar conductances (792, 453, and 118 pS for K+, Cs+ and Ca2+) and selectivities (PCa2+/PK+ = 7.4), but the two channels have different gating properties. alpha RyR channels switch between two gating modes, which differ in the extent they are activated by Ca2+ and ATP, and inactivated by Ca2+. Either mode can be assumed in a spontaneous and stable manner. In a low activity mode, alpha RyR channels exhibit brief openings (tau o = 0.14 ms) and are minimally activated by Ca2+ in the absence of ATP. In a high activity mode, openings are longer (tau o1-3 = 0.17, 0.51, and 1.27 ms), and the channels are activated by Ca2+ in the absence of ATP and are in general less sensitive to the inactivating effects of Ca2+. beta RyR channel openings are longer (tau 01-3 = 0.34, 1.56, and 3.31 ms) than those of alpha RyR channels in either mode. beta RyR channels are activated to a greater relative extent by Ca2+ than ATP and are inactivated by millimolar Ca2+ in the absence, but not the presence, of ATP. Both alpha- and beta RyR channels are activated by caffeine, inhibited by Mg2+ and ruthenium red, inactivated by voltage (cytoplasmic side positive), and modified to a long-lived substate by ryanodine, but only alpha RyR channels are activated by perchlorate anions. The differences in gating and responses to channel modifiers may give the alpha- and beta RyRs distinct roles in muscle activation.     

Double-pulse facilitation of smooth muscle alpha 1-subunit Ca2+ channels expressed in CHO cells.

Frequent strong depolarizations facilitate Ca2+ channels in various cell types by shifting their gating behavior towards mode 2, which is characterized by long openings and high probability of being open. In cardiac cells, the same type of gating behavior is potentiated by beta-adrenoceptors presumably acting via phosphorylation of a protein identical to or associated with the channel. Voltage-dependent phosphorylation has also been reported to underlie Ca2+ channel facilitation in chromaffin adrenal medulla and in skeletal muscle cells. We studied a possible voltage-dependent facilitation of the principal channel forming alpha 1-subunit of the dihydropyridine-sensitive smooth muscle Ca2+ channel. Single channel and whole-cell Ca2+ currents were recorded in Chinese hamster ovary cells stably expressing the class Cb Ca2+ channel alpha 1-subunit. Strong depolarizing voltage-clamp steps preceding the test pulse resulted in a 2- to 3-fold increase of the single Ca2+ channel activity and induction of mode 2-like gating behavior. Accordingly we observed a significant potentiation of the whole-cell current by approximately 50%. In contrast to the previous suggestions we found no experimental evidence for involvement of channel phosphorylation by protein kinases (cAMP-dependent protein kinase, protein kinase C and other protein kinases utilizing ATP gamma S) in the control and facilitated current. The data demonstrate that the L-type Ca2+ channel alpha 1-subunit solely expressed in Chinese hamster ovary cells is subject to a voltage-dependent facilitation but not to phosphorylation.(ABSTRACT TRUNCATED AT 250 WORDS)     

Modulation of the conductance of unitary cardiac L-type Ca(2+) channels by conditioning voltage and divalent ions

The accompanying paper (Josephson, I. R., A. Guia, E. G. Lakatta, and M. D. Stern. 2002. Biophys. J. 83:2575-2586) examined the effects of conditioning prepulses on the kinetics of unitary L-type Ca(2+) channel currents using Ca(2+) and Ba(2+) ions to determine the ionic-dependence of gating mechanisms responsible for channel inactivation and facilitation. Here we demonstrate that in addition to alterations in gating kinetics, the conductance of single L-type Ca(2+) channels was also dependent on the prior conditioning voltage and permeant ions. All recordings were made in the absence of any Ca(2+) channel agonists. Strongly depolarizing prepulses produced an increased frequency of long-duration (mode 2) openings during the test voltage steps. Mode 2 openings also displayed >25% larger single channel current amplitude (at 0 mV) than briefer (but well-resolved) mode 1 openings. The conductance of mode 2 openings was 26 pS for 105 mM Ba(2+), 18 pS for 5 mM Ba(2+), and 6 pS for 5 mM Ca(2+) ions; these values were 70% greater than the conductance of Ca(2+) channel openings of all durations (mode 1 and mode 2). Thus, the prepulse-driven shift into mode 2 gating results in a longer-lived Ca(2+) channel conformation that, in addition, displays altered permeation properties. These results, and those in the accompanying paper, support the hypothesis that multiple aspects of single L-type Ca(2+) channel behavior (gating kinetics, modal transitions, and ion permeation) are interrelated and are modulated by the magnitude of the conditioning depolarization and the nature and concentration of the ions permeating the channel.     

Permeable ions differentially affect gating kinetics and unitary conductance of L-type calcium channels

Although ion permeation and gating of L-type Ca(2+) channels are generally considered separate processes controlled by distinct components of the channel protein, ion selectivity can vary with the kinetic state. To test this possibility, we studied single-channel currents (cell-attached) of recombinant L-type channels (Ca(V)1.2, beta(2a), and alpha(2)delta) transiently expressed in tsA201 cells in the presence of the channel agonist BayK 8644 which promotes long channel openings (Mode 2 openings). We found that both the brief (Mode 1) and long (Mode 2) mean open times in the presence of Ca(2+) were relatively longer than those with Ba(2+). The unitary slope conductance with Ba(2+) was significantly larger (p<0.05) in Mode 2 openings than for brief Mode 1 openings, whereas the conductance with Ca(2+) did not vary with mode gating. Consequently, the gamma(Ba):gamma(Ca) ratio was greater for Mode 2 than Mode 1 openings. Our findings indicate that both ion permeation and gating kinetics of the L-type channel are differentially modulated by permeable ions. Ca(2+) binding to the L-type channel may stabilize the alteration of channel ion permeability mediated by gating kinetics, and thus, play a role in preventing excessive ion entry when the activation gating of the channel is promoted to the prolonged open state.     

Kinetics of cardiac RyR channel gating studied at high temporal resolution

Measurements of ryanodine receptor (RyR) activity during dynamic changes of calcium concentration have suggested that RyR has at least four calcium binding sites, and that activation transpires as an increase in the activity within the high open probability H-mode. Binding of several Ca2+ ions within the H-mode should manifest itself in the steady-state RyR activity by the presence of multiple closed times. However, previously only two closed times were detected in the H-mode of RyR activity. Here we recorded steady-state activity of single cardiac RyRs with high temporal resolution and compared it to data simulated under the same conditions using our previously published model of RyR gating. At a 10 kHz resolution, the closed time histograms of both experimental and simulated data had three exponential components. The closed times of simulated data were not significantly different from those obtained experimentally. After filtering at 2 kHz, only two exponential closed time components with time constants not significantly different from those previously published could be detected in both experimental and simulated records. The conformity of the steady-state experimental data to the model derived from the dynamic data provides further support for the idea that RyRs need binding of multiple Ca2+ ions to open.     

Mode switching is the major mechanism of ligand regulation of InsP3 receptor calcium release channels

The inositol 1,4,5-trisphosphate (InsP(3)) receptor (InsP(3)R) plays a critical role in generation of complex Ca(2+) signals in many cell types. In patch clamp recordings of isolated nuclei from insect Sf9 cells, InsP(3)R channels were consistently detected with regulation by cytoplasmic InsP(3) and free Ca(2+) concentrations ([Ca(2+)](i)) very similar to that observed for vertebrate InsP(3)R. Long channel activity durations of the Sf9-InsP(3)R have now enabled identification of a novel aspect of InsP(3)R gating: modal gating. Using a novel algorithm to analyze channel modal gating kinetics, InsP(3)R gating can be separated into three distinct modes: a low activity mode, a fast kinetic mode, and a burst mode with channel open probability (P(o)) within each mode of 0.007 +/- 0.002, 0.24 +/- 0.03, and 0.85 +/- 0.02, respectively. Channels reside in each mode for long periods (tens of opening and closing events), and transitions between modes can be discerned with high resolution (within two channel opening and closing events). Remarkably, regulation of channel gating by [Ca(2+)](i) and [InsP(3)] does not substantially alter channel P(o) within a mode. Instead, [Ca(2+)](i) and [InsP(3)] affect overall channel P(o) primarily by changing the relative probability of the channel being in each mode, especially the high and low P(o) modes. This novel observation therefore reveals modal switching as the major mechanism of physiological regulation of InsP(3)R channel activity, with implications for the kinetics of Ca(2+) release events in cells.     

Divalent cation activation and inhibition of single calcium release channels from sheep cardiac sarcoplasmic reticulum

Single Ca2+ release channels from vesicles of sheep cardiac junctional sarcoplasmic reticulum have been incorporated into uncharged planar lipid bilayers. Single-channel currents were recorded from Ca2(+)-activated channels that had a Ca2+ conductance of approximately 90 pS. Channel open probability increased sublinearly as the concentration of free Ca2+ was raised at the myoplasmic face, and without additional agonists the channels could not be fully activated even by 100 microM free Ca2+. Lifetime analysis revealed a minimum of two open and three closed states, and indicates that Ca2+ activated the channels by interacting with at least one of the closed states to increase the rate of channel opening. Correlations between adjacent lifetimes suggested there were at least two pathways between the open- and closed-state aggregates. An analysis of bursting behavior also revealed correlations between successive burst lengths and the number of openings per burst. The latter had two geometric components, providing additional evidence for at least two open states. One component appeared to comprise unit bursts, and the lifetime of most of these fell within the dominant shorter open-time distribution associated with over 90% of all openings. A cyclic gating scheme is proposed, with channel activation regulated by the binding of Ca2+ to a closed conformation of the channel protein. Mg2+ may inhibit activation by competing for this binding site, but lifetime and fluctuation analysis suggested that once activated the channels continue to gate normally.     

Modal gating of human CaV2.1 (P/Q-type) calcium channels: II. the b mode and reversible uncoupling of inactivation

The single channel gating properties of human CaV2.1 (P/Q-type) calcium channels were investigated with cell-attached patch-clamp recordings on HEK293 cells stably expressing these calcium channels. Human CaV2.1 channels showed a complex modal gating, which is described in this and the preceding paper (Luvisetto, S., T. Fellin, M. Spagnolo, B. Hivert, P.F. Brust, M.M. Harpold, K.A. Stauderman, M.E. Williams, and D. Pietrobon. 2004. J. Gen. Physiol. 124:445-461). Here, we report the characterization of the so-called b gating mode. A CaV2.1 channel in the b gating mode shows a bell-shaped voltage dependence of the open probability, and a characteristic low open probability at high positive voltages, that decreases with increasing voltage, as a consequence of both shorter mean open time and longer mean closed time. Reversible transitions of single human CaV2.1 channels between the b gating mode and the mode of gating in which the channel shows the usual voltage dependence of the open probability (nb gating mode) were much more frequent (time scale of seconds) than those between the slow and fast gating modes (time scale of minutes; Luvisetto et al., 2004), and occurred independently of whether the channel was in the fast or slow mode. We show that the b gating mode produces reversible uncoupling of inactivation in human CaV2.1 channels. In fact, a CaV2.1 channel in the b gating mode does not inactivate during long pulses at high positive voltages, where the same channel in both fast-nb and slow-nb gating modes inactivates relatively rapidly. Moreover, a CaV2.1 channel in the b gating mode shows a larger availability to open than in the nb gating modes. Regulation of the complex modal gating of human CaV2.1 channels could be a potent and versatile mechanism for the modulation of synaptic strength and plasticity as well as of neuronal excitability and other postsynaptic Ca2+-dependent processes.     

Modification of cardiac RYR2 gating by a peptide from the central domain of the RYR2

The effect of a domain peptide DP_CPVTc from the central region of the RYR2 on ryanodine receptors from rat heart has been examined in planar lipid bilayers. At a zero holding potential and at 8 mmol L^?1 luminal Ca²⁺ concentration, DP_CPVTc induced concentrationdependent activation of the ryanodine receptor that led up to 20-fold increase of P_O at saturating DP_CPVTc concentrations. DP_CPVTc prolonged RyR2 openings and increased RyR2 opening frequency. At all peptide concentrations the channels displayed large variability in open probability, open time and frequency of openings. With increasing peptide concentration, the fraction of high open probability records increased together with their open time. The closed times of neither low- nor high-open probability records depended on peptide concentration. The concentration dependence of all gating parameters had EC₅₀ of 20 μmol L^?1 and a Hill slope of 2. Comparison of the effects of DP_CPVTc with the effects of ATP and cytosolic Ca²⁺ suggests that activation does not involve luminal feed-through and is not caused by modulation of the cytosolic activation A-site. The data suggest that although “domain unzipping” by DP_CPVTc occurs in both modes of RyR activity, it affects RyR gating only when the channel resides in the H-mode of activity.     

Mechanisms of beta-adrenergic stimulation of cardiac Ca2+ channels revealed by discrete-time Markov analysis of slow gating.

Individual cardiac Ca2+ channels cycle slowly between a mode of gating in which the channel is available to open, and one in which the channel remains silent. The regulation of this multisecond cycling process by isoproterenol was investigated by single-channel recording and the development of a discrete-time Markov model that describes the slow switching among modes in terms of (de) phosphorylation reactions. The results provide evidence that isoproterenol increases Ca2+ channel activity by a reciprocal regulatory mechanism: not only is the phosphorylation rate of the channel increased, but also the dephosphorylation rate decreased. The discrete-time Markov formalism should prove useful as a general tool for understanding the mode switching demonstrated by a number of ionic channels.     

Gating and inward rectifying properties of the MthK K+ channel with and without the gating ring

In MthK, a Ca2+-gated K+ channel from Methanobacterium thermoautotrophicum, eight cytoplasmic RCK domains form an octameric gating ring that controls the intracellular gate of the ion conduction pore. The binding of Ca2+ ions to the RCK domains alters the conformation of the gating ring, thereby opening the gate. In the present study, we examined the Ca2+- and pH-regulated gating and the rectifying conduction properties of MthK at the single-channel level. The open probability (Po) of MthK exhibits a sigmoidal relationship with intracellular [Ca2+], and a Hill coefficient >1 is required to describe the dependence of Po on [Ca2+], suggesting cooperative Ca2+ activation of the channel. Additionally, intracellular Ca2+ also blocks the MthK pore in a voltage-dependent manner, rendering an apparently inwardly rectifying I-V relation. Intracellular pH has a dual effect on MthK gating. Below pH 7.5, the channel becomes insensitive to Ca2+. This occurs because the gating ring is structurally unstable at this pH and tends to disassemble (Ye, S., Y. Li, L. Chen, and Y. Jiang. 2006. Cell. 126:1161-1173). In contrast, above pH 7.5, a further increase in pH shifts the Po-[Ca2+] relation towards a lower Ca2+ concentration, augments Po at saturating [Ca2+], and activates the channel even in the absence of Ca2+. Channel activity is marked by bursts of rapid openings and closings separated by relatively longer interburst closings. The duration of interburst closing and the burst length are highly Ca2+ and pH dependent, whereas the kinetics of intraburst events is Ca2+ and pH independent. The rapid intraburst openings and closings are also observed with the isolated MthK pore lacking the attached intracellular gating ring. The fast kinetic events, independent of both Ca2+ and pH, therefore appear to be determined by processes occurring within the ion conduction pore, whereas the slow events reflect the gating process controlled by Ca2+ and pH through the gating ring.     

Nonmodal gating of cardiac calcium channels as revealed by dihydropyridines

The hypothesis that dihydropyridine (DHP)-sensitive calcium channels have three distinct modes of gating has been examined. The major prediction is that the relative frequencies among modes depend on DHP concentration while the kinetics within a mode do not. We tested this by studying whole-cell and single-channel calcium currents in neonatal rat and adult guinea pig cardiac myocytes in different concentrations of several DHPs. In the absence of DHPs calcium currents declined with time but the kinetics, which are the focus of this study, were unchanged. Open-time frequency distributions had insignificant numbers of prolonged openings and were well fit by single tau's. Agonist DHP stereoisomers produced concentration-dependent changes in whole-cell tail current tau's. The frequency distribution of single calcium channel current open times became biexponential and the tau's were concentration dependent. The average number of openings per trace of channels with customary open times increased with increases in DHP concentration. Latencies to first opening for the customary openings and for prolonged openings were shorter in the presence of DHPs. A second larger conductance is another important feature of DHP-bound single calcium channels. Thus DHPs not only caused prolonged openings; they produced numerous changes in the kinetics of customary openings and increased channel conductance. It follows that these effects of DHPs do not support the hypothesis of modal gating of calcium channels. The mode model is not the only model excluded by the results; models in which DHPs are allowed to act only or mainly on open states are excluded, as are models in which the effects are restricted to inactivated states. We suggest a different type of model in which cooperative binding of DHPs at two sites produces the essential changes in kinetics and conductance.     

Stimulation of single L-type calcium channels in rat pituitary GH3 cells by thyrotropin-releasing hormone.

Hormonal stimulation of voltage-dependent Ca2+ channels in pituitary cells is thought to contribute to the sustained phase of Ca2+ entry and secretion induced by secretion stimulating hormones and has been suggested as a mechanism for refilling the Ca2+ stores. Using the cell-attached patch-clamp technique, we studied the stimulation of single Ca2+ channels by thyrotropin-releasing hormone (TRH) in rat GH3 cells. We show that TRH applied from the bath switched the activity of single L-type Ca2+ channels from a gating mode with very low open probability (po) to a gating mode with slightly smaller conductance but 10 times higher po. Interconversions between these two gating modes were also observed under basal conditions, where the equilibrium was shifted towards the low po mode. TRH applied from the pipette had no effect, indicating the involvement of a cytosolic compound in the stimulatory pathway. We show that TRH does not potentiate all the L-type Ca2+ channels in a given membrane patch and report evidence for co-expression of two functionally different L-type Ca2+ channels. Our results uncover the biophysical mechanism of hormonal stimulation of voltage-dependent Ca2+ channels in GH3 cells and are consistent with differential modulation of different subtypes of dihydropyridine-sensitive Ca2+ channels.     

Myocytes isolated from porcine coronary arteries: reduction of currents through L-type Ca-channels by verapamil-type Ca-antagonists.

Myocytes were enzymatically isolated from large epicardial arteries of the pig. In the cell attached configuration, we studied currents through L-type Ca-channels. At 22 degrees C, open channel conductance was 9 pS with 110 mM Ca2+ and 24 pS with 110 mM Ba2+ as charge carrier. According to the life time of the open state, 2 'modes' of gating are distinguished; mode 1 contributed time constants shorter than 1 ms, mode 2 those longer than 6 ms to the open time distribution. Mode 2 openings appeared spontaneously, more frequently with Ba2+ than with Ca2+ as charge carrier. The Ca-agonist Bay K 8644 (0.5 microM) facilitated the appearance of mode 2. Bath application of the phenylalkylamine D600 (1 microM) did not change the gating modes, but it reduced the channel openness by increasing the percentage of blank records. With whole cell recordings, we studied reduction of ICa by 1 microM D 600 at 3.6 mM [Ca2+] and 35 degrees C. At a holding potential of -45 mV, D 600 induced an 'initial block' of 35% (10% at -65 mV). Upon repetitive 1 Hz pulsing (170 ms to 0 mV) an additional, 'use-dependent' block developed with time. More negative holding potentials attenuated reduction of ICa by D 600, hyperpolarizations to -100 mV had an 'unblocking' effect. In regard to reduction of ICa, we compared the partially uncharged D 600 (membrane permeable) with the completely charged compound D 890 (membrane impermeable). When applied with the bath, 1 or 10 microM D 600 reduced ICa dose-dependently whereas D 890 was ineffective. When D 890 was applied via the patch electrode to the cytosol, it reduced ICa. We discuss that D 600 enters the cell in the uncharged lipid soluble form and reaches form the inside its receptor associated with the Ca-channel.     

Gating kinetics of Ca2+-activated K+ channels from rat muscle incorporated into planar lipid bilayers. Evidence for two voltage- dependent Ca2+ binding reactions

The gating kinetics of a Ca2+-activated K+ channel from adult rat muscle plasma membrane are studied in artificial planar bilayers. Analysis of single-channel fluctuations distinguishes two Ca2+- and voltage-dependent processes: (a) short-lived channel closure (less than 1 ms) events appearing in a bursting pattern; (b) opening and closing events ranging from one to several hundred milliseconds in duration. The latter process is studied independently of the first and is denoted as the primary gating mode. At constant voltage, the mean open time of the primary gating mode is a linear function of the [Ca2+], whereas the mean closed time is a linear function of the reciprocal [Ca2+]. In the limits of zero and infinite [Ca2+], the mean open and the mean closed times are, respectively, independent of voltage. These results are predicted by a kinetic scheme consisting of the following reaction steps: (a) binding of Ca2+ to a closed state; (b) channel opening; (c) binding of a second Ca2+ ion. In this scheme, the two Ca2+ binding reactions are voltage dependent, whereas the open-closed transition is voltage independent. The kinetic constant derived for this scheme gives an accurate theoretical fit to the observed equilibrium open-state probability. The results provide evidence for a novel regulatory mechanism for the activity of an ion channel: modulation by voltage of the binding of an agonist molecule, in this case, Ca2+ ion.     

Modulation of the gating of unitary cardiac L-type Ca(2+) channels by conditioning voltage and divalent ions

Although a considerable number of studies have characterized inactivation and facilitation of macroscopic L-type Ca(2+) channel currents, the single channel properties underlying these important regulatory processes have only rarely been examined using Ca(2+) ions. We have compared unitary L-type Ca(2+) channel currents recorded with a low concentration of Ca(2+) ions with those recorded with Ba(2+) ions to elucidate the ionic dependence of the mechanisms responsible for the prepulse-dependent modulation of Ca(2+) channel gating kinetics. Conditioning prepulses were applied across a wide range of voltages to examine their effects on the subsequent Ca(2+) channel activity, recorded at a constant test potential. All recordings were made in the absence of any Ca(2+) channel agonists. Moderate-depolarizing prepulses resulted in a decrease in the probability of opening of the Ca(2+) channels during subsequent test voltage steps (inactivation), the extent of which was more dramatic with Ca(2+) ions than Ba(2+) ions. Facilitation, or increase of the average probability of opening with strong predepolarization, was due to long-duration mode 2 openings with Ca(2+) ions and Ba(2+) ions, despite a decrease in Ca(2+) channel availability (inactivation) under these conditions. The degree of both prepulse-induced inactivation and facilitation decreased with increasing Ba(2+) ion concentration. The time constants (and their proportions) describing the distributions of Ca(2+) channel open times (which reflect mode switching) were also prepulse-, and ion-dependent. These results support the hypothesis that both prior depolarization and the nature and concentration of permeant ions modulate the gating properties of cardiac L-type Ca(2+) channels.     

Spontaneous channel activity of the inositol 1,4,5-trisphosphate (InsP3) receptor (InsP3R). Application of allosteric modeling to calcium and InsP3 regulation of InsP3R single-channel gating

The InsP3R Ca2+ release channel has a biphasic dependence on cytoplasmic free Ca2+ concentration ([Ca2+]i). InsP3 activates gating primarily by reducing the sensitivity of the channel to inhibition by high [Ca2+]i. To determine if relieving Ca2+ inhibition is sufficient for channel activation, we examined single-channel activities in low [Ca2+]i in the absence of InsP3, by patch clamping isolated Xenopus oocyte nuclei. For both endogenous Xenopus type 1 and recombinant rat type 3 InsP3R channels, spontaneous InsP3-independent channel activities with low open probability Po ( approximately 0.03) were observed in [Ca2+]i < 5 nM with the same frequency as in the presence of InsP3, whereas no activities were observed in 25 nM Ca2+. These results establish the half-maximal inhibitory [Ca2+]i of the channel to be 1.2-4.0 nM in the absence of InsP3, and demonstrate that the channel can be active when all of its ligand-binding sites (including InsP3) are unoccupied. In the simplest allosteric model that fits all observations in nuclear patch-clamp studies of [Ca2+]i and InsP3 regulation of steady-state channel gating behavior of types 1 and 3 InsP3R isoforms, including spontaneous InsP3-independent channel activities, the tetrameric channel can adopt six different conformations, the equilibria among which are controlled by two inhibitory and one activating Ca2+-binding and one InsP3-binding sites in a manner outlined in the Monod-Wyman-Changeux model. InsP3 binding activates gating by affecting the Ca2+ affinities of the high-affinity inhibitory sites in different conformations, transforming it into an activating site. Ca2+ inhibition of InsP3-liganded channels is mediated by an InsP3-independent low-affinity inhibitory site. The model also suggests that besides the ligand-regulated gating mechanism, the channel has a ligand-independent gating mechanism responsible for maximum channel Po being less than unity. The validity of this model was established by its successful quantitative prediction of channel behavior after it had been exposed to ultra-low bath [Ca2+].