Calcium and inositol trisphosphate receptors

Work from the authors' laboratory is supported by the Wellcome Trust, and the Medical, and Agricultural and Food Research Councils. CWT is a Lister Institute Research Fellow.     

Nuclear calcium signaling by inositol trisphosphate in GH3 pituitary cells

It has been proposed that nuclear and cytosolic Ca(2+) ([Ca(2+)](N) and [Ca(2+)](C)) may be regulated independently. We address here the issue of whether inositol trisphosphate (IP(3)) can, bypassing changes of [Ca(2+)](C), produce direct release of Ca(2+) into the nucleoplasm. We have used targeted aequorins to selectively measure and compare the changes in [Ca(2+)](C) and [Ca(2+)](N) induced by IP(3) in GH(3) pituitary cells. Heparin, an IP(3) inhibitor that does not permeate the nuclear pores, abolished the [Ca(2+)](C) peaks but inhibited only partly the [Ca(2+)](N) peaks. The permeant inhibitor 2-aminoethoxy-diphenyl-borate (2-APB) blocked both responses. Removal of ATP also inhibited more strongly the [Ca(2+)](C) than [Ca(2+)](N) peak. The [Ca(2+)](N) and [Ca(2+)](C) responses differed also in their sensitivity to IP(3), the nuclear response showing higher affinity. Among IP(3) receptors, type 2 (IP(3)R2) has a higher affinity for IP(3) and is not inactivated by ATP removal. We find that IP(3)R2 immunoreactivity is present inside the nucleus whereas the other IP(3)R subtypes are detected only in the cytoplasm. The nuclear envelope (NE) of GH(3) cells showed deep invaginations into the nucleoplasm, with cytosol and cytoplasmic organella inside. These results indicate that GH(3) pituitary cells possess mechanisms able to produce selective increases of [Ca(2+)](N).     

Fast kinetics of calcium liberation induced in Xenopus oocytes by photoreleased inositol trisphosphate.

Inositol 1,4,5-trisphosphate (InsP3) acts on intracellular receptors to cause liberation of Ca2+ ions into the cytosol as repetitive spikes and propagating waves. We studied the processes underlying this regenerative release of Ca2+ by monitoring with high resolution the kinetics of Ca2+ flux evoked in Xenopus oocytes by flash photolysis of caged InsP3. Confocal microfluorimetry was used to monitor intracellular free [Ca2+] from femtoliter volumes within the cell, and the underlying Ca2+ flux was then derived from the rate of increase of the fluorescence signals. A threshold amount of InsP3 had to be photoreleased to evoke any appreciable Ca2+ signal, and the amount of liberated Ca2+ then increased only approximately fourfold with maximal stimulation, whereas the peak rate of increase of Ca2+ varied over a range of nearly 20-fold, reaching a maximum of approximately 150 microMs-1. Ca2+ flux increased as a first-order function of [InsP3]. Indicating a lack of cooperativity in channel opening, and was half-maximal with stimuli approximately 10 times threshold. After a brief photolysis flash, Ca2+ efflux began after a quiescent latent period that shortened from several hundred milliseconds with near-threshold stimuli to 25 ms with maximal flashes. This delay could not be explained by an initial "foot" of Ca2+ increasing toward a threshold at which regenerative release was triggered, and the onset of release seemed too abrupt to be accounted for by multiple sequential steps involved in channel opening. Ca2+ efflux increased to a maximum after the latent period in a time that reduced from > 100 ms to approximately 8 ms with increasing [InsP3] and subsequently declined along a two-exponential time course: a rapid fall with a time constant shortening from > 100 ms to approximately 25 ms with increasing [InsP3], followed by a much smaller fail persisting for several seconds. The results are discussed in terms of a model in which InsP3 receptors must undergo a slow transition after binding InsP3 before they can be activated by cytosolic Ca2+ acting as a co-agonist. Positive feedback by liberated Ca2+ ions then leads to a rapid increase in efflux to a maximal rate set by the proportion of receptors binding InsP3. Subsequently, Ca2+ efflux terminates because of a slower inhibitory action of cytosolic Ca2+ on gating of InsP3 receptor-channels.     

Spontaneous cytosolic calcium oscillations driven by inositol trisphosphate occur during in vitro maturation of mouse oocytes.

Immature mouse oocytes undergo spontaneous meiotic maturation when released from antral follicles into culture media. The first sign of meiotic resumption is germinal vesicle breakdown (GVB). Cytosolic free Ca2+ was measured in mouse oocytes during spontaneous maturation by monitoring fluorescence of indo-1 or fluo-3. The majority of oocytes showed a series of Ca2+ oscillations that continued for 1-3 h. Repetitive Ca2+ increases occurred every 1-3 min and lasted for 10-60 s. The Ca2+ oscillations appeared to be caused by an increase in inositol 1,4,5-trisphosphate (InsP3) because once they ceased, similar oscillations were triggered by injection of exogenous InsP3. Also, injection of the InsP3 receptor antagonist heparin (final concentration, 100 micrograms/ml) blocked the spontaneous Ca2+ oscillations. In contrast, Ca2+ oscillations induced by thimerosal were not inhibited by heparin. Treating oocytes with media containing 20 microM BAPTA/AM abolished Ca2+ oscillations in oocytes but did not affect the rate of GVB. The data show that cytosolic Ca2+ oscillations apparently caused by polyphosphoinositide turnover occur during mammalian oocyte maturation. However, the spontaneous oscillations do not appear to trigger GVB. Also, the data indicate that there are two separate Ca2+ release mechanisms in mouse oocytes, one sensitive to InsP3, the other to thimerosal.     

Modulation of cytosolic calcium signaling by protein kinase A-mediated phosphorylation of inositol 1,4,5-trisphosphate receptors

Calcium release via intracellular Ca2+ release channels is a central event underpinning the generation of numerous, often divergent physiological processes. In electrically non-excitable cells, this Ca2+ release is brought about primarily through activation of inositol 1,4,5-trisphosphate receptors and typically takes the form of calcium oscillations. It is widely believed that information is carried in the temporal and spatial characteristics of these signals. Furthermore, stimulation of individual cells with different agonists can generate Ca2+ oscillations with dramatically different spatial and temporal characteristics. Thus, mechanisms must exist for the acute regulation of Ca2+ release such that agonist-specific Ca2+ signals can be generated. One such mechanism by which Ca2+ signals can be modulated is through simultaneous activation of multiple second messenger pathways. For example, activation of both the InsP3 and cAMP pathways leads to the modulation of Ca2+ release through protein kinase A mediated phosphoregulation of the InsP3R. Indeed, each InsP3R subtype is a potential substrate for PKA, although the functional consequences of this phosphorylation are not clear. This review will focus on recent advances in our understanding of phosphoregulation of InsP3R, as well as the functional consequences of this modulation in terms of eliciting specific cellular events.     

Caspase-3-induced truncation of type 1 inositol trisphosphate receptor accelerates apoptotic cell death and induces inositol trisphosphate-independent calcium release during apoptosis

Inositol 1,4,5-trisphosphate receptor-deficient (IP3RKO) B-lymphocytes were used to investigate the functional relevance of type 1 inositol 1,4,5-trisphosphate receptor (IP3R1) and its cleavage by caspase-3 in apoptosis. We showed that inositol 1,4,5-trisphosphate receptor-deficient cells were largely resistant to apoptosis induced by both staurosporine (STS) and B-cell receptor (BCR) stimulation. Expression of either the wild-type IP3R1 or an N-terminal deletion mutant (Delta1-225) that lacks inositol 1,4,5-trisphosphate-induced Ca2+ release activity restored sensitivity to apoptosis and the consequent rise in free cytosolic Ca2+ concentration ([Ca2+]i). Expression of caspase-3-non-cleavable mutant receptor, however, dramatically slowed down the rate of apoptosis and prevented both Ca2+ overload and secondary necrosis. Conversely, expression of the "channel-only" domain of IP3R1, a fragment of the receptor generated by caspase-3 cleavage, strongly increased the propensity of the cells to undergo apoptosis. In agreement with these observations, caspase inhibitors impeded apoptosis and the associated rise in [Ca2+]i. Both the staurosporine- and B-cell receptor-induced apoptosis and increase in [Ca2+]i could be induced in nominally Ca2+-free and serum-free culture media, suggesting that the apoptosis-related rise in [Ca2+]i was primarily because of the release from internal stores rather than of influx through the plasma membrane. Altogether, our results suggest that IP3R1 plays a pivotal role in apoptosis and that the increase in [Ca2+]i during apoptosis is mainly the consequence of IP3R1 cleavage by caspase-3. These observations also indicate that expression of a functional IP3R1 per se is not enough to generate the significant levels of cytosolic Ca2+ needed for the rapid execution of apoptosis, but a prior activation of caspase-3 and the resulting truncation of the IP3R1 are required.     

An endogenous sulfated inhibitor of neuronal inositol trisphosphate receptors

In cerebellum, inositol trisphosphate- (InsP(3)-) gated Ca channels play a key role in learning, though they exhibit a low sensitivity to InsP(3) compared to peripheral tissues. In the present study, the cerebellar InsP(3) receptor is shown to be associated with a novel inhibitor of InsP(3) binding. (3)H-InsP(3) binding studies indicated that this inositol trisphosphate receptor inhibitor (IRI) could completely inhibit InsP(3) binding to the purified cerebellar InsP(3) receptor and acted as a competitive inhibitor. Gel filtration of IRI showed a predominant peak at 6500 Da, though this peak appeared to be an aggregate (with a monomeric molecular mass of approximately 1500 Da). Mass spectrometry of IRI showed a predominant peak at 1635 m/z, consistent with this low molecular mass estimate. The inhibitory activity of IRI was prevented by pretreatment with aryl sulfatase, suggesting the presence of a critical sulfo ester in IRI. IRI was insensitive to proteases and organic extraction but bound to concanavalin A, suggesting that IRI is a sulfated glycan. IRI was present in cerebellum but below the level of detection in aorta. IRI was also present in the neuronal cell line N1E115 (which exhibits a low sensitivity to InsP(3)). We conclude that IRI is a novel endogenous sulfated inhibitor of the InsP(3) receptor that modulates the sensitivity of the InsP(3) receptor and thus may explain the low InsP(3) sensitivity of neurons.     

Feedback inhibition by calcium limits the release of calcium by inositol trisphosphate in Limulus ventral photoreceptors

Injection of inositol 1,4,5 trisphosphate (InsP3) into Limulus ventral photoreceptors elevates the concentration of intracellular calcium ions and as a consequence depolarizes the photoreceptor. This InsP3-induced elevation can be inhibited by a prior injection of calcium or InsP3 delivered 1 s earlier. Recovery from this inhibition has a half-time of between 1.5 and 5 s at 20 degrees C. Calcium released by InsP3 therefore inhibits further release of calcium from InsP3-sensitive calcium stores. This feedback inhibition may protect the calcium stores from depletion during prolonged bright illumination. Feedback inhibition, rather than periodic depletion of calcium stores, may also underlie the oscillatory bursts of InsP3-induced calcium release that have been observed in many cell types.     

Correlation between thrombin-induced prostacyclin production and inositol trisphosphate and cytosolic free calcium levels in cultured human endothelial cells

Cultured human umbilical vein endothelial cells (HUVEC) stimulated with thrombin are known to synthesize prostacyclin at least in part from arachidonate released by phospholipase A2, an enzyme directly activated by calcium. In this study, thrombin stimulation of Quin 2-loaded HUVEC caused rapid and dose-dependent rises in inositol trisphosphate (IP3) and cytosolic free calcium (Ca2+i) levels which preceded a similarly dose-dependent rise in prostacyclin production measured as 6-ketoprostaglandin F1 alpha (6-keto-PGF1 alpha) by radioimmunoassay (ED50 = 0.6-0.7 units/ml for all three effects). Thrombin induced these effects in the absence of extracellular calcium (EGTA) or in the presence of either 8-bromo-cAMP or the calmodulin inhibitor W7. Thrombin inactivated with either diisopropyl fluorophosphate or D-Phe-Pro-Arg-chloromethyl ketone was inactive. In contrast, Quin 2-loaded cultured bovine aortic endothelial cells failed to respond to thrombin, although stimulation with trypsin elevated IP3 and Ca2+i levels and increased 6-keto-PGF1 alpha production. Restimulation of HUVEC with thrombin or histamine 5 min after an initial stimulation with thrombin (2 units/ml for 5 min) failed to induce a second rise in either IP3 or Ca2+i levels or further production of 6-keto-PGF1 alpha, whereas restimulation with ionomycin in the presence or absence of extracellular calcium elevated Ca2+i levels and induced further 6-keto-PGF1 alpha production. However, if the initial stimulation with thrombin was terminated by addition of D-Phe-Pro-Arg-chloromethyl ketone within 10-60 s, restimulation with a second dose of thrombin induced second rises in both IP3 and Ca2+i levels and additional 6-keto-PGF1 alpha production that were greatest when the initial thrombin stimulus was briefest. These results are consistent with the conclusion that IP3 acts as a second messenger by which thrombin elevates Ca2+i levels and initiates prostacyclin synthesis in HUVEC and that in vivo endothelial cells may be stimulated multiple times to synthesize prostacyclin if each period of stimulation is brief.     

Regenerative release of calcium from functionally discrete subcellular stores by inositol trisphosphate.

Fluorescence imaging was used to determine the spatial and temporal patterns of subcellular calcium (Ca2+) liberation induced in Xenopus oocytes by photorelease of inositol 1,4,5-trisphosphate (InsP3) from a caged precursor. Increasing levels of InsP3 evoked Ca2+ release that began in a graded manner but, at varying threshold levels of InsP3, localized sites then showed transient and asynchronous 'puffs' of Ca2+ release. With higher levels of InsP3, Ca2+ from adjacent sites formed a focus for initiation of a propagating Ca2+ wave. The results show that InsP3-sensitive Ca2+ stores are arranged as distinct and functionally independent units, and that Ca2+ is released in both graded and regenerative fashions.     

Single-channel properties in endoplasmic reticulum membrane of recombinant type 3 inositol trisphosphate receptor

The inositol 1,4,5-trisphosphate receptor (InsP(3)R) is an intracellular Ca(2+)-release channel localized in endoplasmic reticulum (ER) with a central role in complex Ca(2+) signaling in most cell types. A family of InsP(3)Rs encoded by several genes has been identified with different primary sequences, subcellular locations, variable ratios of expression, and heteromultimer formation. This diversity suggests that cells require distinct InsP(3)Rs, but the functional correlates of this diversity are largely unknown. Lacking are single-channel recordings of the recombinant type 3 receptor (InsP(3)R-3), a widely expressed isoform also implicated in plasma membrane Ca(2+) influx and apoptosis. Here, we describe functional expression and single-channel recording of recombinant rat InsP(3)R-3 in its native membrane environment. The approach we describe suggests a novel strategy for expression and recording of recombinant ER-localized ion channels in the ER membrane. Ion permeation and channel gating properties of the rat InsP(3)R-3 are strikingly similar to those of Xenopus type 1 InsP(3)R in the same membrane. Using two different two-electrode voltage clamp protocols to examine calcium store-operated calcium influx, no difference in the magnitude of calcium influx was observed in oocytes injected with rat InsP(3)R-3 cRNA compared with control oocytes. Our results suggest that if cellular expression of multiple InsP(3)R isoforms is a mechanism to modify the temporal and spatial features of [Ca(2+)](i) signals, then it must be achieved by isoform-specific regulation or localization of various types of InsP(3)Rs that have relatively similar Ca(2+) permeation properties.     

Characterization of inositol trisphosphate receptor binding in brain. Regulation by pH and calcium

Inositol 1,4,5-trisphosphate is an intracellular second messenger, produced upon stimulation of the phosphoinositide system, capable of mobilizing calcium from intracellular stores. We have recently identified high levels of specific binding sites for inositol 1,4,5-trisphosphate in brain membranes (Worley, P. F., Baraban, J. M., Colvin, J. S., and Snyder, S. H. (1987) Nature 325, 159-161) and have now further characterized these sites. In cerebellar membranes, inositol 1,4,5-trisphosphate binding sites are abundant (20 pmol/mg protein) and display high affinity and selectivity for inositol 1,4,5-trisphosphate (KD approximately equal to 40 nM), whereas other inositol phosphates such as inositol 1,3,4,5-tetrakisphosphate (Ki approximately equal to 10 microM) and inositol 1,4-bisphosphate (Ki approximately equal to 10 microM) exhibit much lower affinity for this site. Submicromolar concentrations of calcium strongly inhibit inositol 1,4,5-trisphosphate binding (IC50 approximately equal to 300 nM). A sharp increase in binding occurs at slightly alkaline pH. These results suggest that actions of inositol 1,4,5-trisphosphate are regulated by physiological alterations in intracellular pH and calcium concentrations.     

Irregular spiking in free calcium concentration in single, human platelets. Regulation by modulation of the inositol trisphosphate receptors.

Fluorescence ratio imaging indicates that immobilized, aspirin-treated platelets, loaded with Fura-2, respond to inositol 1,4,5-trisphosphate- (InsP3)-generating agonists such as thrombin by high-frequency, irregular rises in cytosolic [Ca2+]i with spikes that vary in peak level and peak-to-peak interval. This differs from the regular [Ca2+]i oscillations observed in other, larger cells. We found that the thiol-reactive compounds thimerosal (10 microm) and U73122 (10 microm) evoked similar irregular Ca2+ responses in platelets, but in this case in the absence of InsP3 generation. Thrombin-induced spiking was acutely abolished by inhibiting phospholipase C or elevating intracellular cAMP levels, while spiking with sulfhydryl reagents was only partially blocked by cAMP elevation. Confocal laser scanning microscopy using fluo-3-loaded platelets indicated that, with all agonists or conditions, the irregular spikes were almost instantaneously raised in various regions within a single platelet. When using saponin-permeabilized platelets, we found that InsP3-induced Ca2+ release from stores was stimulated by modest Ca2+ concentrations, pointing to a mechanism of InsP3-dependent Ca2+-induced Ca2+ release (CICR). This process was completely inhibitable by heparin. The Ca2+ release by InsP3, but not the CICR sensor, was negatively regulated by cAMP elevation. Thimerosal treatment did not release Ca2+ from intracellular stores, but markedly potentiated the stimulatory effect of InsP3. In contrast, U73122 caused a heparin/cAMP-insensitive Ca2+ leak from stores that differed from those used by InsP3. Taken together, these results demonstrate that InsP3 receptor channels play a crucial role in the irregular, spiking Ca2+ signal of intact platelets, even when induced by agents such as thimerosal or U73122 which do not stimulate InsP3 formation. The irregular Ca2+ release events appear to be subjected to extensive regulation by: (a) InsP3 level, (b) the potentiating effect of elevated Ca2+ on InsP3 action via CICR, (c) InsP3 channel sensitization by sulfhydryl (thimerosal) modification, (d) InsP3 channel-independent Ca2+ leak with U73122, and (e) down-regulation via cAMP elevation. The observation that individual Ca2+ peaks were generated in various parts of a platelet at similar intervals and amplitudes points to effective cooperation of the various stores in the Ca2+-release process.     

Inositol polyphosphate production and regulation of cytosolic calcium during the biphasic activation of adrenal glomerulosa cells by angiotensin II

Stimulation of aldosterone production by angiotensin II in the adrenal glomerulosa cell is mediated by increased phosphoinositide turnover and elevation of intracellular Ca2+ concentration. In cultured bovine glomerulosa cells, angiotensin II caused rapid increases in inositol-1,4,5-trisphosphate (Ins-1,4,5-P3) levels and cytosolic Ca2+ during the first minute of stimulation, when both responses peaked between 5 and 10 s and subsequently declined to above-baseline levels. In addition to this temporal correlation, the dose-response relationships of the angiotensin-induced peak increases in cytosolic Ca2+ concentrations and Ins-1,4,5-P3 levels measured at 10 s were closely similar. However, at later times (greater than 1 min) there was a secondary elevation of Ins-1,4,5-P3, paralleled by increased formation of inositol 1,3,4,5-tetrakisphosphate that was associated with cytosolic Ca2+ concentrations only slightly above the resting value. These results are consistent with the primary role of Ins-1,4,5-P3 in calcium mobilization during activation of the glomerulosa cell by angiotensin II. They also suggest that Ins-1,4,5-P3 participates in the later phase of the target-cell response, possibly by acting alone or in conjunction with its phosphorylated metabolites to promote calcium entry and elevation of cytosolic Ca2+ during the sustained phase of aldosterone secretion.     

Ryanodine and inositol trisphosphate receptors coexist in avian cerebellar Purkinje neurons

Two intracellular calcium-release channel proteins, the inositol trisphosphate (InsP3), and ryanodine receptors, have been identified in mammalian and avian cerebellar Purkinje neurons. In the present study, biochemical and immunological techniques were used to demonstrate that these proteins coexist in the same avian Purkinje neurons, where they have different intracellular distributions. Western analyses demonstrate that antibodies produced against the InsP3 and the ryanodine receptors do not cross-react. Based on their relative rates of sedimentation in continuous sucrose gradients and SDS-PAGE, the avian cerebellar InsP3 receptor has apparent native and subunit molecular weights of approximately 1,000 and 260 kD, while those of the ryanodine receptors are approximately 2,000 and 500 kD. Specific [3H]InsP3- and [3H]ryanodine-binding activities were localized in the sucrose gradient fractions enriched in the 260-kD and the approximately 500-kD polypeptides, respectively. Under equilibrium conditions, cerebellar microsomes bound [3H]InsP3 with a Kd of 16.8 nM and Bmax of 3.8 pmol/mg protein; whereas, [3H]ryanodine was bound with a Kd of 1.5 nM and a capacity of 0.08 pmol/mg protein. Immunolocalization techniques, applied at both the light and electron microscopic levels, revealed that the InsP3 and ryanodine receptors have overlapping, yet distinctive intracellular distributions in avian Purkinje neurons. Most notably the InsP3 receptor is localized in endomembranes of the dendritic tree, in both the shafts and spines. In contrast, the ryanodine receptor is observed in dendritic shafts, but not in the spines. Both receptors appear to be more abundant at main branch points of the dendritic arbor. In Purkinje neuron cell bodies, both the InsP3 and ryanodine receptors are present in smooth and rough ER, subsurface membrane cisternae and to a lesser extent in the nuclear envelope. In some cases the receptors coexist in the same membranes. Neither protein is observed at the plasma membrane, Golgi complex or mitochondrial membranes. Both the InsP3 and ryanodine receptors are associated with intracellular membrane systems in axonal processes, although they are less abundant there than in dendrites. These data demonstrate that InsP3 and ryanodine receptors exist as unique proteins in the same Purkinje neuron. These calcium-release channels appear to coexist in ER membranes in most regions of the Purkinje neurons, but importantly they are differentially distributed in dendritic processes, with the dendritic spines containing only InsP3 receptors.     

Termination of calcium puffs and coupled closings of inositol trisphosphate receptor channels

Calcium puffs are localized Ca²⁺ signals mediated by Ca²⁺ release from the endoplasmic reticulum (ER) through clusters of inositol trisphosphate receptor (IP₃R) channels. The recruitment of IP₃R channels during puffs depends on Ca²⁺-induced Ca²⁺ release, a regenerative process that must be terminated to maintain control of cell signaling and prevent Ca²⁺ cytotoxicity. Here, we studied puff termination using total internal reflection microscopy to resolve the gating of individual IP₃R channels during puffs in intact SH-SY5Y neuroblastoma cells. We find that the kinetics of IP₃R channel closing differ from that expected for independent, stochastic gating, in that multiple channels tend to remain open together longer than predicted from their individual open lifetimes and then close in near-synchrony. This behavior cannot readily be explained by previously proposed termination mechanisms, including Ca²⁺-inhibition of IP₃Rs and local depletion of Ca²⁺ in the ER lumen. Instead, we postulate that the gating of closely adjacent IP₃Rs is coupled, possibly via allosteric interactions, suggesting an important mechanism to ensure robust puff termination in addition to Ca²⁺-inactivation.     

The probability of triggering calcium puffs is linearly related to the number of inositol trisphosphate receptors in a cluster

Puffs are local Ca(2+) signals that arise by Ca(2+) liberation from the endoplasmic reticulum through concerted opening of tightly clustered inositol trisphosphate receptor/channels (IP(3)R). They serve both local signaling functions and trigger global Ca(2+) waves. The numbers of functional IP(3)R within clusters differ appreciably between different puff sites, and we investigated how the probability of puff occurrence varies with cluster size. We imaged puffs in SH-SY5Y cells using total internal fluorescence microscopy, and estimated cluster sizes from the magnitude of the largest puff observed at each site relative to the signal from a single channel. We find that the initial triggering rate of puffs following photorelease of IP(3), and the average frequency of subsequent repetitive puffs, vary about linearly with cluster size. These data accord well with stochastic simulations in which opening of any individual IP(3)R channel within a cluster triggers a puff via Ca(2+)-induced Ca(2+) release. An important consequence is that the signaling power of a puff site (average amount of Ca(2+) released per puff × puff frequency) varies about the square of cluster size, implying that large clusters contribute disproportionately to cellular signaling and, because of their higher puff frequency, preferentially act as pacemakers to initiate Ca(2+) waves.