Polymorphism of Ca2+ Sparks Evoked from In-Focus Ca2+ Release Units in Cardiac Myocytes

Ca²⁺ sparks are the elementary release events in many types of cells. Here we present a morphometric analysis of Ca²⁺ sparks (i.e., amplitude and kinetic parameters) using an approach that minimizes the confounding factor of the detection of out-of-focus events. By activation and visualization of Ca²⁺ sparks from Ca²⁺ release units under loose-seal patch-clamp conditions, we found that the amplitude and rising rate of in-focus sparks exhibited a broad modal distribution, whereas spark rise time and spatial width appeared to be stereotyped. Spark morphometrics were constant irrespective of the latency of spark production and the time-dependent L-type Ca²⁺ channel activation. Polymorphism of Ca²⁺ sparks in terms of variable amplitude and rising rate was evident for events from the same release units, and intra- and interrelease unit variability contributed equally to the overall variability. The rising rate, a reporter of the underlying Ca²⁺ release flux, displayed a strong positive correlation with spark amplitude, but a negative correlation with spark rise time, an index of Ca²⁺ release duration. On the basis of Ca²⁺ spark morphometrics measured here, we suggested a model in which cohorts of variable number of ryanodine receptors are activated in the genesis of Ca²⁺ sparks, and the ensuing negative feedback overrides the regenerative Ca²⁺-induced Ca²⁺ release to extinguish the ongoing Ca²⁺ spark.     

Functional Coupling of Ryanodine Receptors to KCa Channels in Smooth Muscle Cells from Rat Cerebral Arteries

The relationship between Ca²⁺ release (“Ca²⁺ sparks”) through ryanodine-sensitive Ca²⁺ release channels in the sarcoplasmic reticulum and K_Ca channels was examined in smooth muscle cells from rat cerebral arteries. Whole cell potassium currents at physiological membrane potentials (−40 mV) and intracellular Ca²⁺ were measured simultaneously, using the perforated patch clamp technique and a laser two-dimensional (x–y) scanning confocal microscope and the fluorescent Ca²⁺ indicator, fluo-3. Virtually all (96%) detectable Ca²⁺ sparks were associated with the activation of a spontaneous transient outward current (STOC) through K_Ca channels. A small number of sparks (5 of 128) were associated with currents smaller than 6 pA (mean amplitude, 4.7 pA, at −40 mV). Approximately 41% of STOCs occurred without a detectable Ca²⁺ spark. The amplitudes of the Ca²⁺ sparks correlated with the amplitudes of the STOCs (regression coefficient 0.8; P < 0.05). The half time of decay of Ca²⁺ sparks (56 ms) was longer than the associated STOCs (9 ms). The mean amplitude of the STOCs, which were associated with Ca²⁺ sparks, was 33 pA at −40 mV. The mean amplitude of the “sparkless” STOCs was smaller, 16 pA. The very significant increase in K_Ca channel open probability (>10⁴-fold) during a Ca²⁺ spark is consistent with local Ca²⁺ during a spark being in the order of 1–100 μM. Therefore, the increase in fractional fluorescence (F/F_o) measured during a Ca²⁺ spark (mean 2.04 F/F_o or ∼310 nM Ca²⁺) appears to significantly underestimate the local Ca²⁺ that activates K_Ca channels. These results indicate that the majority of ryanodine receptors that cause Ca²⁺ sparks are functionally coupled to K_Ca channels in the surface membrane, providing direct support for the idea that Ca²⁺ sparks cause STOCs.     

Assessment of Calcium Sparks in Intact Skeletal Muscle Fibers

Maintaining homeostatic Ca²⁺ signaling is a fundamental physiological process in living cells. Ca²⁺ sparks are the elementary units of Ca²⁺ signaling in the striated muscle fibers that appear as highly localized Ca²⁺ release events mediated by ryanodine receptor (RyR) Ca²⁺ release channels on the sarcoplasmic reticulum (SR) membrane. Proper assessment of muscle Ca²⁺ sparks could provide information on the intracellular Ca²⁺ handling properties of healthy and diseased striated muscles. Although Ca²⁺ sparks events are commonly seen in resting cardiomyocytes, they are rarely observed in resting skeletal muscle fibers; thus there is a need for methods to generate and analyze sparks in skeletal muscle fibers.Detailed here is an experimental protocol for measuring Ca²⁺ sparks in isolated flexor digitorm brevis (FDB) muscle fibers using fluorescent Ca²⁺ indictors and laser scanning confocal microscopy. In this approach, isolated FDB fibers are exposed to transient hypoosmotic stress followed by a return to isotonic physiological solution. Under these conditions, a robust Ca²⁺ sparks response is detected adjacent to the sarcolemmal membrane in young healthy FDB muscle fibers. Altered Ca²⁺ sparks response is detected in dystrophic or aged skeletal muscle fibers. This approach has recently demonstrated that membrane-delimited signaling involving cross-talk between inositol (1,4,5)-triphosphate receptor (IP₃R) and RyR contributes to Ca²⁺ spark activation in skeletal muscle. In summary, our studies using osmotic stress induced Ca²⁺ sparks showed that this intracellular response reflects a muscle signaling mechanism in physiology and aging/disease states, including mouse models of muscle dystrophy (mdx mice) or amyotrophic lateral sclerosis (ALS model).     

On the Adjacency Matrix of RyR2 Cluster Structures

In the heart, electrical stimulation of cardiac myocytes increases the open probability of sarcolemmal voltage-sensitive Ca²⁺ channels and flux of Ca²⁺ into the cells. This increases Ca²⁺ binding to ligand-gated channels known as ryanodine receptors (RyR2). Their openings cause cell-wide release of Ca²⁺, which in turn causes muscle contraction and the generation of the mechanical force required to pump blood. In resting myocytes, RyR2s can also open spontaneously giving rise to spatially-confined Ca²⁺ release events known as “sparks.” RyR2s are organized in a lattice to form clusters in the junctional sarcoplasmic reticulum membrane. Our recent work has shown that the spatial arrangement of RyR2s within clusters strongly influences the frequency of Ca²⁺ sparks. We showed that the probability of a Ca²⁺ spark occurring when a single RyR2 in the cluster opens spontaneously can be predicted from the precise spatial arrangements of the RyR2s. Thus, “function” follows from “structure.” This probability is related to the maximum eigenvalue (λ ₁) of the adjacency matrix of the RyR2 cluster lattice. In this work, we develop a theoretical framework for understanding this relationship. We present a stochastic contact network model of the Ca²⁺ spark initiation process. We show that λ ₁ determines a stability threshold for the formation of Ca²⁺ sparks in terms of the RyR2 gating transition rates. We recapitulate these results by applying the model to realistic RyR2 cluster structures informed by super-resolution stimulated emission depletion (STED) microscopy. Eigendecomposition of the linearized mean-field contact network model reveals functional subdomains within RyR2 clusters with distinct sensitivities to Ca²⁺. This work provides novel perspectives on the cardiac Ca²⁺ release process and a general method for inferring the functional properties of transmembrane receptor clusters from their structure.     

Calcium sparks activate calcium-dependent Cl- current in rat corpus cavernosum smooth muscle cells

Spontaneous transient currents, due to activation of Ca²⁺-dependent K⁺ and Cl^– channels, occur in corpus cavernosum smooth muscle cells (CCSMC) of the penis. The Ca²⁺ events responsible for triggering Ca²⁺-dependent Cl^– channels have never been identified in vascular muscle. We used high-speed fluorescence imaging combined with patch-clamp electrophysiology to provide the first characterization of Ca²⁺ events underlying these currents. Freshly isolated rat CCSMC loaded with fluo-4 exhibited localized, spontaneous elevations of intracellular Ca²⁺ (Ca²⁺ sparks) in 57% of cells. There was an average of 6.4 ± 0.5 release sites/cell with a frequency of 0.9 ± 1 Hz/cell and peak amplitude F/F_o of 67 ± 10%. We addressed the controversy of whether these events are mediated by ryanodine or inositol 1,4,5 trisphosphate (IP₃) receptors. Caffeine caused either a global Ca²⁺ rise at high concentrations or an increase in spark frequency at lower concentrations, whereas ryanodine dramatically reduced the amplitude and frequency of sparks. 2-Aminoethoxydiphenyl borate, an inhibitor of IP₃ receptors, had no effect on spark frequency. Combined imaging and electrophysiological recording revealed strong coupling between Ca²⁺ sparks and biphasic transient currents, a relationship never before shown in vascular muscle. Moreover, spark frequency increased on depolarization, an effect abolished with the blockade of Ca²⁺ channels, consistent with Ca²⁺ influx regulating Ca²⁺ release from stores. We establish for the first time that Ca²⁺ sparks occur in CCSMC and arise from Ca²⁺ release through ryanodine receptors. Moreover, the voltage dependence of spark frequency demonstrated here provides novel functional evidence for voltage-dependent Ca²⁺ influx in CCSMC. calcium signaling; potassium and chloride channels; ryanodine receptors     

Calcium-dependent inactivation and the dynamics of calcium puffs and sparks

Localized intracellular Ca²⁺ elevations known as puffs and sparks arise from the cooperative activity of inositol 1,4,5-trisphosphate receptor Ca²⁺ channels (IP₃Rs) and ryanodine receptor Ca²⁺ channels (RyRs) clustered at Ca²⁺ release sites on the surface of the endoplasmic reticulum or sarcoplasmic reticulum. When Markov chain models of these intracellular Ca²⁺-regulated Ca²⁺ channels are coupled via a mathematical representation of a Ca²⁺ microdomain, simulated Ca²⁺ release sites may exhibit the phenomenon of “stochastic Ca²⁺ excitability” reminiscent of Ca²⁺ puffs and sparks where channels open and close in a concerted fashion. To clarify the role of Ca²⁺ inactivation of IP₃Rs and RyRs in the dynamics of puffs and sparks, we formulate and analyze Markov chain models of Ca²⁺ release sites composed of 10–40 three-state intracellular Ca²⁺ channels that are inactivated as well as activated by Ca²⁺. We study how the statistics of simulated puffs and sparks depend on the kinetics and dissociation constant of Ca²⁺ inactivation and find that puffs and sparks are often less sensitive to variations in the number of channels at release sites and strength of coupling via local [Ca²⁺] when the average fraction of inactivated channels is significant. Interestingly, we observe that the single channel kinetics of Ca²⁺ inactivation influences the thermodynamic entropy production rate of Markov chain models of puffs and sparks. While excessively fast Ca²⁺ inactivation can preclude puffs and sparks, moderately fast Ca²⁺ inactivation often leads to time-irreversible puffs and sparks whose termination is facilitated by the recruitment of inactivated channels throughout the duration of the puff/spark event. On the other hand, Ca²⁺ inactivation may be an important negative feedback mechanism even when its time constant is much greater than the duration of puffs and sparks. In fact, slow Ca²⁺ inactivation can lead to release sites with a substantial fraction of inactivated channels that exhibit puffs and sparks that are nearly time-reversible and terminate without additional recruitment of inactivated channels.     

Modulation of the Local SR Ca2+ Release by Intracellular Mg2+ in Cardiac Myocytes

In cardiac muscle, Ca²⁺-induced Ca²⁺ release (CICR) from the sarcoplasmic reticulum (SR) defines the amplitude and time course of the Ca²⁺ transient. The global elevation of the intracellular Ca²⁺ concentration arises from the spatial and temporal summation of elementary Ca²⁺ release events, Ca²⁺ sparks. Ca²⁺ sparks represent the concerted opening of a group of ryanodine receptors (RYRs), which are under the control of several modulatory proteins and diffusible cytoplasmic factors (e.g., Ca²⁺, Mg²⁺, and ATP). Here, we examined by which mechanism the free intracellular Mg²⁺ ([Mg²⁺]_free) affects various Ca²⁺ spark parameters in permeabilized mouse ventricular myocytes, such as spark frequency, duration, rise time, and full width, at half magnitude and half maximal duration. Varying the levels of free ATP and Mg²⁺ in specifically designed solutions allowed us to separate the inhibition of RYRs by Mg²⁺ from the possible activation by ATP and Mg²⁺-ATP via the adenine binding site of the channel. Changes in [Mg²⁺]_free generally led to biphasic alterations of the Ca²⁺ spark frequency. For example, lowering [Mg²⁺]_free resulted in an abrupt increase of spark frequency, which slowly recovered toward the initial level, presumably as a result of SR Ca²⁺ depletion. Fitting the Ca²⁺ spark inhibition by [Mg²⁺]_free with a Hill equation revealed a K_i of 0.1 mM. In conclusion, our results support the notion that local Ca²⁺ release and Ca²⁺ sparks are modulated by Mg²⁺ in the intracellular environment. This seems to occur predominantly by hindering Ca²⁺-dependent activation of the RYRs through competitive Mg²⁺ occupancy of the high-affinity activation site of the channels. These findings help to characterize CICR in cardiac muscle under normal and pathological conditions, where the levels of Mg²⁺ and ATP can change.     

Control of Sarcoplasmic Reticulum Ca2+ Release by Stochastic RyR Gating within a 3D Model of the Cardiac Dyad and Importance of Induction Decay for CICR Termination

The factors responsible for the regulation of regenerative calcium-induced calcium release (CICR) during Ca²⁺ spark evolution remain unclear. Cardiac ryanodine receptor (RyR) gating in rats and sheep was recorded at physiological Ca²⁺, Mg²⁺, and ATP levels and incorporated into a 3D model of the cardiac dyad, which reproduced the time course of Ca²⁺ sparks, Ca²⁺ blinks, and Ca²⁺ spark restitution. The termination of CICR by induction decay in the model principally arose from the steep Ca²⁺ dependence of RyR closed time, with the measured sarcoplasmic reticulum (SR) lumen Ca²⁺ dependence of RyR gating making almost no contribution. The start of CICR termination was strongly dependent on the extent of local depletion of junctional SR Ca²⁺, as well as the time course of local Ca²⁺ gradients within the junctional space. Reducing the dimensions of the dyad junction reduced Ca²⁺ spark amplitude by reducing the strength of regenerative feedback within CICR. A refractory period for Ca²⁺ spark initiation and subsequent Ca²⁺ spark amplitude restitution arose from 1), the extent to which the regenerative phase of CICR can be supported by the partially depleted junctional SR, and 2), the availability of releasable Ca²⁺ in the junctional SR. The physical organization of RyRs within the junctional space had minimal effects on Ca²⁺ spark amplitude when more than nine RyRs were present. Spark amplitude had a nonlinear dependence on RyR single-channel Ca²⁺ flux, and was approximately halved by reducing the flux from 0.6 to 0.2 pA. Although rat and sheep RyRs had quite different Ca²⁺ sensitivities, Ca²⁺ spark amplitude was hardly affected. This suggests that moderate changes in RyR gating by second-messenger systems will principally alter the spatiotemporal properties of SR release, with smaller effects on the amount released.     

Contribution of spontaneous L-type Ca2+ channel activation to the genesis of Ca2+ sparks in resting cardiac myocytes

Ca²⁺ sparks are the elementary events of intracellular Ca²⁺ release from the sarcoplasmic reticulum in cardiac myocytes. In order to investigate whether spontaneous L-type Ca²⁺ channel activation contributes to the genesis of spontaneous Ca²⁺ sparks, we used confocal laser scanning microscopy and fluo-4 to visualize local Ca²⁺ sparks in intact rat ventricular myocytes. In the presence of 0.2 mmol/L CdCI₂ which inhibits spontaneous L-type Ca²⁺ channel activation, the rate of occurrence of spontaneous Ca²⁺ sparks was halved from 4.20 to 2.04 events/(100 μm · s), with temporal and spatial properties of individual Ca²⁺ sparks unchanged. Analysis of the Cd²⁺-sensitive spark production revealed an open probability of ~10 ^-5 for L-type channels at the rest membrane potentials (-80 mV). Thus, infrequent and stochastic openings of sarcolemmal L-type Ca²⁺ channels in resting heart cells contribute significantly to the production of spontaneous Ca²⁺ sparks.     

Reconciling depressed Ca2+ sparks occurrence with enhanced RyR2 activity in failing mice cardiomyocytes

Abnormalities in cardiomyocyte Ca²⁺ handling contribute to impaired contractile function in heart failure (HF). Experiments on single ryanodine receptors (RyRs) incorporated into lipid bilayers have indicated that RyRs from failing hearts are more active than those from healthy hearts. Here, we analyzed spontaneous Ca²⁺ sparks (brief, localized increased in [Ca²⁺]_i) to evaluate RyR cluster activity in situ in a mouse post-myocardial infarction (PMI) model of HF. The cardiac ejection fraction of PMI mice was reduced to ∼30% of that of sham-operated (sham) mice, and their cardiomyocytes were hypertrophied. The [Ca²⁺]_i transient amplitude and sarcoplasmic reticulum (SR) Ca²⁺ load were decreased in intact PMI cardiomyocytes compared with those from sham mice, and spontaneous Ca²⁺ sparks were less frequent, whereas the fractional release and the frequency of Ca²⁺ waves were both increased, suggesting higher RyR activity. In permeabilized cardiomyocytes, in which the internal solution can be controlled, Ca²⁺ sparks were more frequent in PMI cells (under conditions of similar SR Ca²⁺ load), confirming the enhanced RyR activity. However, in intact cells from PMI mice, the Ca²⁺ sparks frequency normalized by the SR Ca²⁺ load in that cell were reduced compared with those in sham mice, indicating that the cytosolic environment in intact cells contributes to the decrease in Ca²⁺ spark frequency. Indeed, using an internal “failing solution” with less ATP (as found in HF), we observed a dramatic decrease in Ca²⁺ spark frequency in permeabilized PMI and sham myocytes. In conclusion, our data show that, even if isolated RyR channels show more activity in HF, concomitant alterations in intracellular media composition and SR Ca²⁺ load may mask these effects at the Ca²⁺ spark level in intact cells. Nonetheless, in this scenario, the probability of arrhythmogenic Ca²⁺ waves is enhanced, and they play a potential role in the increase in arrhythmia events in HF patients.     

Increasing sensitivity of Ca2+ spark detection in noisy images by application of a matched-filter object detection algorithm

Microscopic calcium (Ca²⁺) events (such as Ca²⁺ sparks) are an important area for study, as they help clarify the mechanism(s) underlying intracellular signaling. In the heart, Ca²⁺ sparks occur as a result of Ca²⁺ release from the sarcoendoplasmic reticulum, via ryanodine receptor channels. Measurement of Ca²⁺ spark properties can provide valuable information about the control of ryanodine receptor channel gating in situ, but requires high spatiotemporal resolution imaging, which produces noisy datasets that are problematic for spark detection. Automated detection algorithms may overcome visual detection bias, but missed and false-positive events can distort the distribution of measured Ca²⁺ spark properties. We present a sensitive and reliable method for the automated detection of Ca²⁺ sparks in datasets obtained using confocal line-scanning or total internal reflection fluorescence microscopy. This matched-filter detection algorithm (MFDA) employs a user-defined object, chosen to mimic Ca²⁺ spark properties, and the experimental dataset is searched for instances of the object. Detection certainty is provided by nonparametric statistical testing. The supplied codes can also refine the search object on the basis of those detected to further increase detection sensitivity. In comparison to a commonly used, intensity-thresholding algorithm, the MFDA is more sensitive and reliable, particularly at low signal/noise ratios. The MFDA can also be easily adapted to other signal-detection problems in noisy datasets.     

Isoproterenol Increases the Fraction of Spark-Dependent RyR-Mediated Leak in Ventricular Myocytes

Recent research suggests that the diastolic ryanodine-receptor-mediated release of Ca²⁺ (J_leak) from the sarcoplasmic reticulum of ventricular myocytes occurs in spark and nonspark forms. Further information about the role(s) of these release manifestations is scarce, however. This study addresses whether the fraction of spark-mediated J_leak increases due to β-adrenergic stimulation. Confocal microscopy was used to simultaneously image Ca²⁺ sparks and quantify J_leak in intact rabbit myocytes, either in the absence or in the presence of 125 nM isoproterenol. It was found that isoproterenol treatment shifts the spark-frequency-J_leak relationship toward an increased sensitivity to a [Ca²⁺] trigger. In agreement, a small but significant increase in spark width was found for cells with matched baseline [Ca²⁺] and total SR [Ca²⁺]. The reconstruction of release fluxes, when applied to the average sparks from those selected cells, yielded a wider release source in the isoproterenol event, indicating the recruitment of peripheral ryanodine receptors. Overall, the results presented here indicate that β-adrenergic stimulation increases the spark-dependent fraction of J_leak. Working together, the increased Ca²⁺ sensitivity and the greater spark width found during isoproterenol treatment may increase the probability of Ca²⁺ wave generation.     

Sodium-Calcium Exchange Is Essential for Effective Triggering of Calcium Release in Mouse Heart

In cardiac myocytes, excitation-contraction coupling depends upon sarcoplasmic reticular Ca²⁺ release triggered by Ca²⁺ influx through L-type Ca²⁺ channels. Although Na⁺-Ca²⁺ exchange (NCX) is essential for Ca²⁺ extrusion, its participation in the trigger process of excitation-contraction coupling is controversial. To investigate the role of NCX in triggering, we examined Ca²⁺ sparks in ventricular cardiomyocytes isolated from wild-type (WT) and cardiac-specific NCX knockout (KO) mice. Myocytes from young NCX KO mice are known to exhibit normal resting cytosolic Ca²⁺ and normal Ca²⁺ transients despite reduced L-type Ca²⁺ current. We loaded myocytes with fluo-3 to image Ca²⁺ sparks using confocal microscopy in line-scan mode. The frequency of spontaneous Ca²⁺ sparks was reduced in KO myocytes compared with WT. However, spark amplitude and width were increased in KO mice. Permeabilizing the myocytes with saponin eliminated differences between spontaneous sparks in WT and KO mice. These results suggest that sarcolemmal processes are responsible for the reduced spark frequency and increased spark width and amplitude in KO mice. When myocytes were loaded with 1 mM fluo-3 and 3 mM EGTA via the patch pipette to buffer diadic cleft Ca²⁺, the number of sparks triggered by action potentials was reduced by 60% in KO cells compared to WT cells, despite similar SR Ca²⁺ content in both cell types. When EGTA was omitted from the pipette solution, the number of sparks triggered in KO and WT myocytes was similar. Although the number of sparks was restored in KO cells, Ca²⁺ release was asynchronous. These results suggest that high subsarcolemmal Ca²⁺ is required to ensure synchronous triggering with short spark latency in the absence of NCX. In WT mice, high subsarcolemmal Ca²⁺ is not required for synchronous triggering, because NCX is capable of priming the diadic cleft with sufficient Ca²⁺ for normal triggering, even when subsarcolemmal Ca²⁺ is lowered by EGTA. Thus, reducing subsarcolemmal Ca²⁺ with EGTA in NCX KO mice reveals the dependence of Ca²⁺ release on NCX.     

Single Ryanodine Receptor Channel Basis of Caffeine's Action on Ca Sparks

Caffeine (1, 3, 7-trimethylxanthine) is a widely used pharmacological agonist of the cardiac ryanodine receptor (RyR2) Ca²⁺ release channel. It is also a well-known stimulant that can produce adverse side effects, including arrhythmias. Here, the action of caffeine on single RyR2 channels in bilayers and Ca²⁺ sparks in permeabilized ventricular cardiomyocytes is defined. Single RyR2 caffeine activation depended on the free Ca²⁺ level on both sides of the channel. Cytosolic Ca²⁺ enhanced RyR2 caffeine affinity, whereas luminal Ca²⁺ essentially scaled maximal caffeine activation. Caffeine activated single RyR2 channels in diastolic quasi-cell-like solutions (cytosolic MgATP, pCa 7) with an EC₅₀ of 9.0 ± 0.4 mM. Low-dose caffeine (0.15 mM) increased Ca²⁺ spark frequency ∼75% and single RyR2 opening frequency ∼150%. This implies that not all spontaneous RyR2 openings during diastole are associated with Ca²⁺ sparks. Assuming that only the longest openings evoke sparks, our data suggest that a spark may result only when a spontaneous single RyR2 opening lasts >6 ms.     

Modulation of the Frequency of Spontaneous Sarcoplasmic Reticulum Ca2+ Release Events (Ca2+ Sparks) by Myoplasmic [Mg2+] in Frog Skeletal Muscle

The modulation by internal free [Mg²⁺] of spontaneous calcium release events (Ca²⁺ “sparks”) from the sarcoplasmic reticulum (SR) was studied in depolarized notched frog skeletal muscle fibers using a laser scanning confocal microscope in line-scan mode (x vs. t). Over the range of [Mg²⁺] from 0.13 to 1.86 mM, decreasing the [Mg²⁺] induced an increase in the frequency of calcium release events in proportion to [Mg²⁺]^−1.6. The change of event frequency was not due to changes in [Mg-ATP] or [ATP]. Analysis of individual SR calcium release event properties showed that the variation in event frequency induced by the change of [Mg²⁺] was not accompanied by any changes in the spatiotemporal spread (i.e., spatial half width or temporal half duration) of Ca²⁺ sparks. The increase in event frequency also had no effect on the distribution of event amplitudes. Finally, the rise time of calcium sparks was independent of the [Mg²⁺], indicating that the open time of the SR channel or channels underlying spontaneous calcium release events was not altered by [Mg²⁺] over the range tested. These results suggest that in resting skeletal fibers, [Mg²⁺] modulates the SR calcium release channel opening frequency by modifying the average closed time of the channel without altering the open time. A kinetic reaction scheme consistent with our results and those of bilayer and SR vesicle experiments indicates that physiological levels of resting Mg²⁺ may inhibit channel opening by occupying the site for calcium activation of the SR calcium release channel.     

Automated Detection and Analysis of Ca2+ Sparks in x-y Image Stacks Using a Thresholding Algorithm Implemented within the Open-Source Image Analysis Platform ImageJ

Previous studies have used analysis of Ca²⁺ sparks extensively to investigate both normal and pathological Ca²⁺ regulation in cardiac myocytes. The great majority of these studies used line-scan confocal imaging. In part, this is because the development of open-source software for automatic detection of Ca²⁺ sparks in line-scan images has greatly simplified data analysis. A disadvantage of line-scan imaging is that data are collected from a single row of pixels, representing only a small fraction of the cell, and in many instances x-y confocal imaging is preferable. However, the limited availability of software for Ca²⁺ spark analysis in two-dimensional x-y image stacks presents an obstacle to its wider application. This study describes the development and characterization of software to enable automatic detection and analysis of Ca²⁺ sparks within x-y image stacks, implemented as a plugin within the open-source image analysis platform ImageJ. The program includes methods to enable precise identification of cells within confocal fluorescence images, compensation for changes in background fluorescence, and options that allow exclusion of events based on spatial characteristics.     

Automated Detection and Analysis of Ca Sparks in x-y Image Stacks Using a Thresholding Algorithm Implemented within the Open-Source Image Analysis Platform ImageJ

Previous studies have used analysis of Ca²⁺ sparks extensively to investigate both normal and pathological Ca²⁺ regulation in cardiac myocytes. The great majority of these studies used line-scan confocal imaging. In part, this is because the development of open-source software for automatic detection of Ca²⁺ sparks in line-scan images has greatly simplified data analysis. A disadvantage of line-scan imaging is that data are collected from a single row of pixels, representing only a small fraction of the cell, and in many instances x-y confocal imaging is preferable. However, the limited availability of software for Ca²⁺ spark analysis in two-dimensional x-y image stacks presents an obstacle to its wider application. This study describes the development and characterization of software to enable automatic detection and analysis of Ca²⁺ sparks within x-y image stacks, implemented as a plugin within the open-source image analysis platform ImageJ. The program includes methods to enable precise identification of cells within confocal fluorescence images, compensation for changes in background fluorescence, and options that allow exclusion of events based on spatial characteristics.     

Frequency and release flux of calcium sparks in rat cardiac myocytes: a relation to RYR gating

Cytosolic calcium concentration in resting cardiac myocytes locally fluctuates as a result of spontaneous microscopic Ca²⁺ releases or abruptly rises as a result of an external trigger. These processes, observed as calcium sparks, are fundamental for proper function of cardiac muscle. In this study, we analyze how the characteristics of spontaneous and triggered calcium sparks are related to cardiac ryanodine receptor (RYR) gating. We show that the frequency of spontaneous sparks and the probability distribution of calcium release flux quanta of triggered sparks correspond quantitatively to predictions of an allosteric homotetrameric model of RYR gating. This model includes competitive binding of Ca²⁺ and Mg²⁺ ions to the RYR activation sites and allosteric interaction between divalent ion binding and channel opening. It turns out that at rest, RYRs are almost fully occupied by Mg²⁺. Therefore, spontaneous sparks are most frequently evoked by random openings of the highly populated but rarely opening Mg₄RYR and CaMg₃RYR forms, whereas triggered sparks are most frequently evoked by random openings of the less populated but much more readily opening Ca₂Mg₂RYR and Ca₃MgRYR forms. In both the spontaneous and the triggered sparks, only a small fraction of RYRs in the calcium release unit manages to open during the spark because of the limited rate of Mg²⁺ unbinding. This mechanism clarifies the unexpectedly low calcium release flux during elementary release events and unifies the theory of calcium signaling in resting and contracting cardiac myocytes.     

Ryanodine receptor allosteric coupling and the dynamics of calcium sparks

Puffs and sparks are localized intracellular Ca²⁺ elevations that arise from the cooperative activity of Ca²⁺-regulated inositol 1,4,5-trisphosphate receptors and ryanodine receptors clustered at Ca²⁺ release sites on the surface of the endoplasmic reticulum or the sarcoplasmic reticulum. While the synchronous gating of Ca²⁺-regulated Ca²⁺ channels can be mediated entirely though the buffered diffusion of intracellular Ca²⁺, interprotein allosteric interactions also contribute to the dynamics of ryanodine receptor (RyR) gating and Ca²⁺ sparks. In this article, Markov chain models of Ca²⁺ release sites are used to investigate how the statistics of Ca²⁺ spark generation and termination are related to the coupling of RyRs via local [Ca²⁺] changes and allosteric interactions. Allosteric interactions are included in a manner that promotes the synchronous gating of channels by stabilizing neighboring closed-closed and/or open-open channel pairs. When the strength of Ca²⁺-mediated channel coupling is systematically varied (e.g., by changing the Ca²⁺ buffer concentration), simulations that include synchronizing allosteric interactions often exhibit more robust Ca²⁺ sparks; however, for some Ca²⁺ coupling strengths the sparks are less robust. We find no evidence that the distribution of spark durations can be used to distinguish between allosteric interactions that stabilize closed channel pairs, open channel pairs, or both in a balanced fashion. On the other hand, the changes in spark duration, interspark interval, and frequency observed when allosteric interactions that stabilize closed channel pairs are gradually removed from simulations are qualitatively different than the changes observed when open or both closed and open channel pairs are stabilized. Thus, our simulations clarify how changes in spark statistics due to pharmacological washout of the accessory proteins mediating allosteric coupling may indicate the type of synchronizing allosteric interactions exhibited by physically coupled RyRs. We also investigate the validity of a mean-field reduction applicable to the dynamics of a ryanodine receptor cluster coupled via local [Ca²⁺] and allosteric interactions. In addition to facilitating parameter studies of the effect of allosteric coupling on spark statistics, the derivation of the mean-field model establishes the correct functional form for cooperativity factors representing the coupled gating of RyRs. This mean-field formulation is well suited for use in computationally efficient whole cell simulations of excitation-contraction coupling.     

Automatic Detection and Classification of Ca2+ Release Events in Line- and Frame-Scan Images

Analysis of Ca²⁺ signals obtained in various cell types (i.e., cardiomyocytes) is always a tradeoff between acquisition speed and signal/noise ratio of the fluorescence signal. This becomes especially apparent during fast two- or three-dimensional confocal imaging when local intracellular fluorescence signals originating from Ca²⁺ release from intracellular Ca²⁺ stores (e.g., sarcoplasmic reticulum) need to be examined. Mathematical methods have been developed to remedy a high noise level by fitting each pixel with a transient function to “denoise” the image. So far, current available analytical approaches have been impaired by a number of constraints (e.g., inability to fit local, concurrent, and consecutive events) and the limited ability to customize implementation. Here, we suggest a, to our knowledge, novel approach for detailed analysis of subcellular micro-Ca²⁺ events based on pixel-by-pixel denoising of confocal frame- and line-scan images. The algorithm enables spatiotemporally overlapping events (e.g., a Ca²⁺ spark occurring during the decaying phase of a Ca²⁺ wave) to be extracted so that various types of Ca²⁺ events can be detected at a pixel time level of precision. The method allows a nonconstant baseline to be estimated for each pixel, foregoing the need to subtract fluorescence background or apply self-ratio methods before image analysis. Furthermore, by using a clustering algorithm, identified single-pixel events are grouped into “physiologically relevant” Ca²⁺ signaling events spanning multiple pixels (sparks, waves, puffs, transients, etc.), from which spatiotemporal event parameters (e.g., full duration at half maximal amplitude, full width at half maximal amplitude, amplitude, wave speed, rise, and decay times) can be easily extracted. The method was implemented with cross-platform open source software, providing a comprehensive and easy-to-use graphical user interface enabling rapid line-scan images and rapid frame-scan image sequences (up to 150 frames/s) to be analyzed and repetitive Ca²⁺ events (Ca²⁺ sparks and Ca²⁺ puffs) originating from clusters of Ca²⁺ release channels located in the sarcoplasmic reticulum membrane (ryanodine receptors and inositol 1,4,5-trisphosphate receptors) of isolated cardiomyocytes to be examined with a high level of precision.