'Quantal' calcium release operated by membrane voltage in frog skeletal muscle

Quantal Properties of Voltage-Dependent Ca2+ Release in Frog Skeletal Muscle Persist After Reduction of [Ca2+] in the Sarcoplasmic Reticulum

In skeletal muscle, the Ca2+ release flux elicited by a voltage clamp pulse rises to an early peak that inactivates rapidly to a much lower steady level. Using a double pulse protocol the fast inactivation follows an arithmetic rule: if the conditioning depolarization is less than or equal to the test depolarization, then decay (peak minus steady level) in the conditioning release is approximately equal to suppression (unconditioned minus conditioned peak) of the test release. This is due to quantal activation by voltage, analogous to the quantal activation of IP3 receptor channels. Two mechanisms are possible. One is the existence of subsets of channels with different sensitivities to voltage. The other is that the clusters of Ca2+-gated Ryanodine Receptor (RyR) β in the parajunctional terminal cisternae might constitute the quantal units. These Ca2+-gated channels are activated by the release of Ca2+ through the voltage-gated RyR α channels. If the RyR β were at the basis of quantal release, it should be modified by strong inhibition of the primary voltage-gated release. This was attained in two ways, by sarcoplasmic reticulum (SR) Ca2+ depletion and by voltage-dependent inactivation. Both procedures reduced global Ca2+ release flux, but SR Ca2+ depletion reduced the single RyR current as well. The effect of both interventions on the quantal properties of Ca2+ release in frog skeletal muscle fibers were studied under voltage clamp. The quantal properties of release were preserved regardless of the inhibitory maneuver applied. These findings put a limit on the role of the Ca2+-activated component of release in generating quantal activation.

Role of forward-motility-stimulating factor as an extracellular activator of soluble adenylyl cyclase

Forward-motility-stimulating factor (FMSF) is a protein, originally purified from bubaline serum, that promotes progressive motility of mature spermatozoa. FMSF binds to sperm surface receptors and activates transmembrane adenylyl cyclase (tmAC), causing a rise in intracellular cyclic AMP level ([cAMP]i) and subsequent activation of a protein kinase A/tyrosine kinase-mediated pathway that enhances forward motility. This article further evaluates how FMSF works in the caprine system, particularly identifying the stimulatory effect of this glycoprotein on soluble adenylyl cyclase (sAC). Elevated [cAMP]i, initially resulting from FMSF-dependent activation of tmAC, was associated with the release of Ca(2+) from an intracellular calcium store in the sperm head, likely via an inositol triphosphate-sensitive calcium ion channel. This peak Ca(2+) concentration of ∼125-175 nM was capable of stimulating sAC in vitro in a calmodulin-independent manner, thereby triggering more cAMP production. Our model proposes that a positive-feedback loop mediated by cAMP and Ca(2+) is established in FMSF-stimulated sperm, with cAMP playing the role of a chemical messenger at multiple steps, resulting in the observed progressive motility. Thus, FSMF stimulates a novel signaling cascade that synergistically activate both tmAC and sAC to achieve forward sperm motility.

Calcium sparks

The calcium ion (Ca(2+)) is the simplest and most versatile intracellular messenger known. The discovery of Ca(2+) sparks and a related family of elementary Ca(2+) signaling events has revealed fundamental principles of the Ca(2+) signaling system. A newly appreciated "digital" subsystem consisting of brief, high Ca(2+) concentration over short distances (nanometers to microns) comingles with an "analog" global Ca(2+) signaling subsystem. Over the past 15 years, much has been learned about the theoretical and practical aspects of spark formation and detection. The quest for the spark mechanisms [the activation, coordination, and termination of Ca(2+) release units (CRUs)] has met unexpected challenges, however, and raised vexing questions about CRU operation in situ. Ample evidence shows that Ca(2+) sparks catalyze many high-threshold Ca(2+) processes involved in cardiac and skeletal muscle excitation-contraction coupling, vascular tone regulation, membrane excitability, and neuronal secretion. Investigation of Ca(2+) sparks in diseases has also begun to provide novel insights into hypertension, cardiac arrhythmias, heart failure, and muscular dystrophy. An emerging view is that spatially and temporally patterned activation of the digital subsystem confers on intracellular Ca(2+) signaling an exquisite architecture in space, time, and intensity, which underpins signaling efficiency, stability, specificity, and diversity. These recent advances in "sparkology" thus promise to unify the simplicity and complexity of Ca(2+) signaling in biology.

Ca2+-dependent inactivation of Ca2+-induced Ca2+ release in bullfrog sympathetic neurons

We studied inactivation of Ca(2+)-induced Ca(2+) release (CICR) via ryanodine receptors (RyRs) in bullfrog sympathetic neurons. The rate of rise in [Ca(2+)](i) due to CICR evoked by a depolarizing pulse decreased markedly within 10-20 ms to a much slower rate despite persistent Ca(2+) entry and little depletion of Ca(2+) stores. The Ca(2+) entry elicited by the subsequent pulse within 50 ms, during which the [Ca(2+)](i) level remained unchanged, did not generate a distinct [Ca(2+)](i) rise. This mode of [Ca(2+)](i) rise was unaffected by a mitochondrial uncoupler, carbonyl cyanide p-trifluromethoxy-phenylhydrazone (FCCP, 1 microm). Paired pulses of varying interval and duration revealed that recovery from inactivation became distinct >or= 50 ms after depolarization and depended on [Ca(2+)](i). The inactivation was prevented by BAPTA (>or= 100 microm) but not by EGTA (<or= 10 mM), whereas the activation was less affected by BAPTA. When CICR was partially activated, some of the non-activated RyRs were also inactivated directly. Thus, the inactivation in these neurons is induced by Ca(2+) binding to the high-affinity regulatory sites residing very close to Ca(2+) channels and/or RyRs, although the sites for activation are located much closer to those Ca(2+) sources. The rate of [Ca(2+)](i) decay after the pulse decreased with increasing pulse duration longer than 10 ms, and this was abolished by BAPTA. Thus, some mechanism counteracting Ca(2+) clearance is induced after full inactivation and potentiated during the pulse. Possible models for RyR inactivation were proposed and the roles of inactivation in Ca(2+) signalling were discussed.

Altered elementary calcium release events and enhanced calcium release by thymol in rat skeletal muscle

The effects of thymol on steps of excitation-contraction coupling were studied on fast-twitch muscles of rodents. Thymol was found to increase the depolarization-induced release of calcium from the sarcoplasmic reticulum, which could not be attributed to a decreased calcium-dependent inactivation of calcium release channels/ryanodine receptors or altered intramembrane charge movement, but rather to a more efficient coupling of depolarization to channel opening. Thymol increased ryanodine binding to heavy sarcoplasmic reticulum vesicles, with a half-activating concentration of 144 micro M and a Hill coefficient of 1.89, and the open probability of the isolated and reconstituted ryanodine receptors, from 0.09 +/- 0.03 to 0.22 +/- 0.04 at 30 micro M. At higher concentrations the drug induced long-lasting open events on a full conducting state. Elementary calcium release events imaged using laser scanning confocal microscopy in the line-scan mode were reduced in size, 0.92 +/- 0.01 vs. 0.70 +/- 0.01, but increased in duration, 56 +/- 1 vs. 79 +/- 1 ms, by 30 micro M thymol, with an increase in the relative proportion of lone embers. Higher concentrations favored long events, resembling embers in control, with duration often exceeding 500 ms. These findings provide direct experimental evidence that the opening of a single release channel will generate an ember, rather than a spark, in mammalian skeletal muscle.

Effect of sarcoplasmic reticulum Ca2+ content on action potential-induced Ca2+ release in rat skeletal muscle fibres

This study examined the relationship between the level of Ca2+ loading in the sarcoplasmic reticulum (SR) and the amount of Ca2+ released by an action potential (AP) in fast-twitch skeletal muscle fibres of the rat. Single muscle fibres were mechanically skinned and electric field stimulation was used to induce an AP in the transverse-tubular system and a resulting twitch response. Responses were elicited in the presence of known amounts (0-0.38 mM) of BAPTA, a fast Ca2+ buffer, with the SR Ca2+ pump either functional or blocked by 50 microM 2,5-di-tert-butyl-1,4-hydroquinone (TBQ). When Ca2+ reuptake was blocked, an estimate of the amount of Ca2+ released by an AP could be derived from the size of the force response. In a fibre with the SR loaded with Ca2+ at the endogenous level (approximately 1.2 mM, expressed as total Ca2+ per litre fibre volume; approximately one-third of maximal loading), a single AP triggered the release of approximately 230 microM Ca2+. If a second AP was elicited 10 ms after the first, only a further approximately 60 microM Ca2+ was released, the reduction probably being due to Ca2+ inactivation of Ca2+ release. When Ca2+ reuptake was blocked, APs applied 15 s apart elicited similar amounts of Ca2+ release (approximately 230 microM) on the first two or three occasions and then progressively less Ca2+ was released until the SR was fully depleted after a total of approximately eight APs. When the SR was loaded to near-maximal capacity (approximately 3-4 mM), each AP (or pair of APs 10 ms apart) still only released approximately the same amount of Ca2+ as that released when the fibre was endogenously loaded. Consistent with this, successive APs (15 s apart) elicited similar amounts of Ca2+ release approximately 10-16 times before the amount released declined, and the SR was fully depleted of Ca2+ after a total release calculated to be approximately 3-4 mM. When the SR was loaded maximally, increasing the [BAPTA] above 280 microM resulted in an increase in the amount of Ca2+ released per AP, probably because the greater level of cytoplasmic Ca2+ buffering prevented Ca2+ inactivation from adequately limiting Ca2+ release. These results show that the amount of Ca2+ released by AP stimulation in rat fast-twitch fibres normally stays virtually constant over a wide range of SR Ca2+ content, in spite of the likely large change in the electrochemical gradient for Ca2+. This was also found to be the case in toad twitch fibres. This constancy in Ca2+ release should help ensure precise regulation of force production in fast-twitch muscle in a range of circumstances.

Differential effects of voltage-dependent inactivation and local anesthetics on kinetic phases of Ca2+ release in frog skeletal muscle

In voltage-clamped frog skeletal muscle fibers, Ca(2+) release rises rapidly to a peak, then decays to a nearly steady state. The voltage dependence of the ratio of amplitudes of these two phases (p/s) shows a maximum at low voltages and declines with further depolarization. The peak phase has been attributed to a component of Ca(2+) release induced by Ca(2+), which is proportionally greater at low voltages. We compared the effects of two interventions that inhibit Ca(2+) release: inactivation of voltage sensors, and local anesthetics reputed to block Ca(2+) release induced by Ca(2+). Holding the cells partially depolarized strongly reduced the peak and steady levels of Ca(2+) release elicited by a test pulse and suppressed the maximum of the p/s ratio at low voltages. The p/s ratio increased monotonically with test voltage, eventually reaching a value similar to the maximum found in noninactivated fibers. This implies that the marked peak of Ca(2+) release is a property of a cooperating collection of voltage sensors rather than individual ones. Local anesthetics reduced the peak of release flux at every test voltage, and the steady phase to a lesser degree. At variance with sustained depolarization, they made p/s low at all voltages. These observations were well-reproduced by the "couplon" model of dual control, which assumes that depolarization and anesthetics respectively, and selectively, disable its Ca(2+)-dependent or its voltage-operated channels. This duality of effects and their simulation under such hypotheses are consistent with the operation of a dual, two-stage control of Ca(2+) release in muscle, whereby Ca(2+) released through multiple directly voltage-activated channels builds up at junctions to secondarily open Ca(2+)-operated channels.

Effects of oxidation and cytosolic redox conditions on excitation-contraction coupling in rat skeletal muscle

In this study the effects of oxidation and reduction on various steps in the excitation-contraction (E-C) coupling sequence was examined in mammalian skeletal muscle. In mechanically skinned fast-twitch fibres, electric field stimulation was used to generate action potentials in the sealed transverse-tubular (T-) system, thereby eliciting twitch responses, which are a sensitive measure of Ca2+ release. Treatment of fibres with the oxidant H2O2 (200 microM and 10 mM) for 2-5 min markedly potentiated caffeine-induced Ca2+ release and the force response to partial depolarisation of the T-system (by solution substitution). Importantly, such H2O2 treatment had no effect at all on any aspect of the twitch response (peak amplitude, rate of rise, decay rate constant and half-width), except in cases where it interfered with the T-system potential or voltage-sensor activation, resulting in a reduction or abolition of the twitch response. Exposure to strong thiol reductants, dithiothreitol (DTT, 10 mM) and reduced glutathione (GSH, 5 mM), did not affect the twitch response over 5 min, nor did varying the glutathione ratio (reduced to oxidised glutathione) from the level present endogenously in the cytosol of a rested fibre (30:1) to the comparatively oxidised level of 3:1. In fibres that had been oxidised by H2O2 (10 mM) (or by 2,2'-dithiodipyridine, 100 microM), exposure to GSH (5 mM) caused potentiation of twitch force (by approximately 20 % for H2O2); this effect was due to the increase in the Ca2+ sensitivity of the contractile apparatus that occurs under such circumstances and was fully reversed by subsequent exposure to 10 mM DTT. We conclude that: (a) the redox potential across the sarcomplamsic reticulum has no noticeable direct effect on normal E-C coupling in mammalian skeletal muscle, (b) oxidising the Ca2+-release channels and greatly increasing their sensitivity to Ca2+-induced Ca2+ release does not alter the amount of Ca2+ released by an action potential and (c) oxidation potentiates twitches by a GSH-mediated increase in the Ca2+ sensitivity of the contractile apparatus.

Intracellular Ca(2+) release as irreversible Markov process

In striated muscles, intracellular Ca(2+) release is tightly controlled by the membrane voltage sensor. Ca(2+) ions are necessary mediators of this control in cardiac but not in skeletal muscle, where their role is ill-understood. An intrinsic gating oscillation of Ca(2+) release-not involving the voltage sensor-is demonstrated in frog skeletal muscle fibers under voltage clamp. A Markov model of the Ca(2+) release units is shown to reproduce the oscillations, and it is demonstrated that for Markov processes to have oscillatory transients, its transition rates must violate thermodynamic reversibility. Such irreversibility results in permanent cycling of the units through a ring of states, which requires a source of free energy. Inhibition of the oscillation by 20 to 40 mM EGTA or partial depletion of Ca(2+) in the sarcoplasmic reticulum (SR) identifies the SR [Ca(2+)] gradient as the energy source, and indicates a location of the critical Ca(2+)-sensing site at distances greater than 35 nm from the open channel. These results, which are consistent with a recent demonstration of irreversibility in gating of cardiac Ca(2+) sparks, (Wang, S.-Q., L.-S. Song, L. Xu, G. Meissner, E. G. Lakatta, E. Ríos, M. D. Stern, and H. Cheng. 2002. Biophys. J. 83:242-251) exemplify a cell-wide oscillation caused by coupling between ion permeation and channel gating.

Ryanodine receptor calcium release channels

The ryanodine receptors (RyRs) are a family of Ca2+ release channels found on intracellular Ca2+ storage/release organelles. The RyR channels are ubiquitously expressed in many types of cells and participate in a variety of important Ca2+ signaling phenomena (neurotransmission, secretion, etc.). In striated muscle, the RyR channels represent the primary pathway for Ca2+ release during the excitation-contraction coupling process. In general, the signals that activate the RyR channels are known (e.g., sarcolemmal Ca2+ influx or depolarization), but the specific mechanisms involved are still being debated. The signals that modulate and/or turn off the RyR channels remain ambiguous and the mechanisms involved unclear. Over the last decade, studies of RyR-mediated Ca2+ release have taken many forms and have steadily advanced our knowledge. This robust field, however, is not without controversial ideas and contradictory results. Controversies surrounding the complex Ca2+ regulation of single RyR channels receive particular attention here. In addition, a large body of information is synthesized into a focused perspective of single RyR channel function. The present status of the single RyR channel field and its likely future directions are also discussed.

Effects of a domain peptide of the ryanodine receptor on Ca2+ release in skinned skeletal muscle fibers

Mutations in the central domain of the skeletal muscle ryanodine receptor (RyR) cause malignant hyperthermia (MH). A synthetic peptide (DP4) in this domain (Leu-2442-Pro-2477) produces enhanced ryanodine binding and sensitized Ca2+ release in isolated sarcoplasmic reticulum, similar to the properties in MH, possibly because the peptide disrupts the normal interdomain interactions that stabilize the closed state of the RyR (Yamamoto T, El-Hayek R, and Ikemoto N. J Biol Chem 275: 11618-11625, 2000). Here, DP4 was applied to mechanically skinned fibers of rat muscle that had the normal excitation-contraction coupling mechanism still functional to determine whether muscle fiber responsiveness was enhanced. DP4 (100 microM) substantially potentiated the Ca2+ release and force response to caffeine (8 mM) and to low [Mg2+] (0.2 mM) in every fiber examined, with no significant effect on the properties of the contractile apparatus. DP4 also potentiated the response to submaximal depolarization of the transverse tubular system by ionic substitution. Importantly, DP4 did not significantly alter the size of the twitch response elicited by action potential stimulation. These results support the proposal that DP4 causes an MH-like aberration in RyR function and are consistent with the voltage sensor triggering Ca2+ release by destabilizing the closed state of the RyRs.

Deterministic inactivation of calcium release channels in mammalian skeletal muscle

Enzymatically dissociated fibres from the extensor digitorum communis muscle of rats were mounted into a double Vaseline gap chamber. The rate of calcium release (R(rel)) from the sarcoplasmic reticulum (SR) and changes in SR permeability to Ca2+ (PSR) were calculated from measured changes in intracellular calcium concentration. Calcium release during a prepulse attenuated the inactivating component of PSR of the subsequent test pulse. The suppression was graded, larger release causing greater suppression, as expected from a calcium-dependent inactivation process. However, if the dissociation constant of the putative inhibitory calcium binding site (Kd) was estimated using different test pulses different affinities were obtained: a smaller test pulse yielded a smaller Kd. Comparing the suppression of the inactivatable component of PSR during the test pulse (suppression) with the inactivatable component during the prepulse (pre-inactivation) revealed a linear relationship with a regression coefficient close to unity. Lowering intracellular magnesium by decreasing its concentration to 25 microM in the internal solution altered the time course of PSR. The maximal peak-to-steady-level ratio was increased to 6.3 +/- 0.4 (n = 10, mean +/- s.e.m.) from a control value of 3.0 +/- 0.2 (n = 19). Despite the apparent change in steady-state inactivation, suppression remained equal to that pre-inactivation. Our results support the view that a depolarizing pulse always recruits the same set of calcium release channels and a portion of these channels undergoes a deterministic inactivation process.

Involvement of multiple intracellular release channels in calcium sparks of skeletal muscle

In many types of muscle, intracellular Ca(2+) release for contraction consists of brief Ca(2+) sparks. Whether these result from the opening of one or many channels in the sarcoplasmic reticulum is not known. Examining massive numbers of sparks from frog skeletal muscle and evaluating their Ca(2+) release current, we provide evidence that they are generated by multiple channels. A mode is demonstrated in the distribution of spark rise times in the presence of the channel activator caffeine. This finding contradicts expectations for single channels evolving reversibly, but not for channels in a group, which collectively could give rise to a stereotyped spark. The release channel agonists imperatoxin A, ryanodine, and bastadin 10 elicit fluorescence events that start with a spark, then decay to steady levels roughly proportional to the unitary conductances of 35%, 50%, and 100% that the agonists, respectively, promote in bilayer experiments. This correspondence indicates that the steady phase is produced by one open channel. Calculated Ca(2+) release current decays 10- to 20-fold from spark to steady phase, which requires that six or more channels be open during the spark.

A repetitive mode of activation of discrete Ca2+ release events (Ca2+ sparks) in frog skeletal muscle fibres

1. Ca2+ release events (Ca2+ 'sparks'), which are believed to arise from the opening of a sarcoplasmic reticulum (SR) Ca2+ release channel or a small cluster of such channels that act as a release unit, have been measured in single, frog (Rana pipiens) skeletal muscle fibres. 2. Under conditions of extremely low rates of occurrence of Ca2+ sparks we observed, within individual identified triads, repetitive Ca2+ release events which occurred at a frequency more than 100-fold greater than the prevailing average event rate. Repetitive sparks were recorded during voltage-clamp test depolarizations after a brief (0.3-2 s) repriming interval in fibres held at 0 mV and in chronically depolarized, 'notched' fibres. 3. These repetitive events are likely to arise from the re-opening of the same SR Ca2+ release channel or release unit operating in a repetitive gating mode ('rep-mode'), rather than from the random activation of multiple, independent channels or release units within a triad. A train of rep-mode events thus represents a series of Ca2+ sparks arising from a single location within the fibre. Rep-mode events are activated among different triads in a random manner after brief repriming. The frequency of repetitive events among all identified events during voltage-clamp depolarization to 0 mV after brief repriming was 3.9 +/- 1.3 %. The occurrence of repetitive events was not related to exposure of the fibre to laser illumination. 4. The events observed within a rep-mode train exhibited a relatively uniform amplitude. Analysis of intervals between identified events in triads exhibiting rep-mode trains indicated similar variations of fluorescence as in neighbouring, quiescent triads, suggesting there was not a significant number of small, unidentified events at the triads exhibiting rep-mode activity. 5. The distribution of rep-mode interspark intervals exhibited a paucity of events at short intervals, consistent with the need for recovery from inactivation before activation of the next event in a repetitive train. The mean interspark interval of repetitive sparks during voltage-clamp depolarizations was 88 +/- 5 ms, and was independent of membrane potential. 6. The individual Ca2+ sparks within a rep-mode train were similar in average amplitude and spatiotemporal extent to singly occurring sparks, suggesting a common mechanism for termination of the channel opening(s) underlying both types of events. The average properties of the sparks did not vary during a train. The relative amplitude of a spark within a rep-mode was not correlated with its rise time. 7. Repetitive Ca2+ release events represent a mode of gating of SR Ca2+ release channels which may be significant during long depolarizations and which may be influenced by the biochemical state of the SR ryanodine receptor Ca2+ release channels.

Local control models of cardiac excitation-contraction coupling. A possible role for allosteric interactions between ryanodine receptors

In cardiac muscle, release of activator calcium from the sarcoplasmic reticulum occurs by calcium- induced calcium release through ryanodine receptors (RyRs), which are clustered in a dense, regular, two-dimensional lattice array at the diad junction. We simulated numerically the stochastic dynamics of RyRs and L-type sarcolemmal calcium channels interacting via calcium nano-domains in the junctional cleft. Four putative RyR gating schemes based on single-channel measurements in lipid bilayers all failed to give stable excitation-contraction coupling, due either to insufficiently strong inactivation to terminate locally regenerative calcium-induced calcium release or insufficient cooperativity to discriminate against RyR activation by background calcium. If the ryanodine receptor was represented, instead, by a phenomenological four-state gating scheme, with channel opening resulting from simultaneous binding of two Ca2+ ions, and either calcium-dependent or activation-linked inactivation, the simulations gave a good semiquantitative accounting for the macroscopic features of excitation-contraction coupling. It was possible to restore stability to a model based on a bilayer-derived gating scheme, by introducing allosteric interactions between nearest-neighbor RyRs so as to stabilize the inactivated state and produce cooperativity among calcium binding sites on different RyRs. Such allosteric coupling between RyRs may be a function of the foot process and lattice array, explaining their conservation during evolution.

Inactivation of Ca2+ release channels (ryanodine receptors RyR1 and RyR2) with rapid steps in [Ca2+] and voltage

The transient responses of sheep cardiac and rabbit skeletal ryanodine receptors (RyRs) to step changes in membrane potential and cytosolic [Ca2+] were measured. Both cardiac and skeletal RyRs have two voltage-dependent inactivation processes (tau approximately 1-3 s at +40 mV) that operate at opposite voltage extremes. Approximately one-half to two-thirds of RyRs inactivated when the bilayer voltage was stepped either way between positive and negative values. Inactivation was not detected (within 30 s) in RyRs with Po less than 0.2. Inactivation rates increased with intraburst open probability (Po) and in proportion to the probability of a long-lived, RyR open state (P(OL)) RyR inactivation depended on P(OL) and not on the particular activator (Ca2+ (microM), ATP, caffeine, and ryanodine), inhibitor (mM Ca2+ and Mg2+), or gating mode. The activity of one-half to two-thirds of RyRs declined (i.e., the RyRs inactivated) after [Ca2+] steps from subactivating (0.1 microM) to activating (1-100 microM) levels. This was due to the same inactivation mechanism responsible for inactivation after voltage steps. Both forms of inactivation had the same kinetics and similar dependencies on Po and voltage. Moreover, RyRs that failed to inactivate after voltage steps also did not inactivate after [Ca2+] steps. The inactivating response to [Ca2+] steps (0.1-1 microM) was not RyRs "adapting" to steady [Ca2+] after the step, because a subsequent step from 1 to 100 microM failed to reactivate RyRs.

Local control model of excitation-contraction coupling in skeletal muscle

This is a quantitative model of control of Ca release from the sarcoplasmic reticulum in skeletal muscle, based on dual control of release channels (ryanodine receptors), primarily by voltage, secondarily by Ca (Ríos, E., and G. Pizarro. 1988. 3:223-227). Channels are positioned in a double row array of between 10 and 60 channels, where exactly half face voltage sensors (dihydropyridine receptors) in the transverse (t) tubule membrane (Block, B.A., T. Imagawa, K.P. Campbell, and C. Franzini-Armstrong. 1988. 107:2587-2600). We calculate the flux of Ca release upon different patterns of pulsed t-tubule depolarization by explicit stochastic simulation of the states of all channels in the array. Channels are initially opened by voltage sensors, according to an allosteric prescription (Ríos, E., M. Karhanek, J. Ma, A. González. 1993. 102:449-482). Ca permeating the open channels, diffusing in the junctional gap space, and interacting with fixed and mobile buffers produces defined and changing distributions of Ca concentration. These concentrations interact with activating and inactivating channel sites to determine the propagation of activation and inactivation within the array. The model satisfactorily simulates several whole-cell observations, including kinetics and voltage dependence of release flux, the "paradox of control," whereby Ca-activated release remains under voltage control, and, most surprisingly, the "quantal" aspects of activation and inactivation (Pizarro, G., N. Shirokova, A. Tsugorka, and E. Ríos. 1997. 501:289-303). Additionally, the model produces discrete events of activation that resemble Ca sparks (Cheng, H., M.B. Cannell, and W.J. Lederer. 1993. 262:740-744). All these properties result from the intersection of stochastic channel properties, control by local Ca, and, most importantly, the one dimensional geometry of the array and its mesoscopic scale. Our calculations support the concept that the release channels associated with one face of one junctional t-tubule segment, with its voltage sensor, constitute a functional unit, termed the "couplon." This unit is fundamental: the whole cell behavior can be synthesized as that of a set of couplons, rather than a set of independent channels.

Calcium in close quarters: microdomain feedback in excitation-contraction coupling and other cell biological phenomena

Researchers have made good progress in unraveling the molecular mechanisms of excitation-contraction (EC) coupling in striated muscle. Despite this progress, paradoxes abound. In skeletal muscle, the existence of a mechanical coupling between membrane charge movement and activation of sarcoplasmic reticulum (SR) release channels is essentially established, but the contribution of Ca(2+)-induced Ca2+ release (CICR) to the transient and steady-state components of Ca2+ release remains controversial. In cardiac muscle, the role of CICR as the primary mechanism of EC coupling is well established, but the stability and tight coupling between membrane Ca2+ current and release are paradoxical. Answers may lie in microdomain issues, and the examination of discrete elementary release events, although quantitative treatments are needed. This review explores the theoretical and experimental methods used and the observations made in the study of microdomain Ca2+.