A minimal model for decoding of time-limited Ca2+ oscillations

Calcium oscillations regulate several cellular processes by activating particular proteins. Most theoretical studies focused on the idealized situation of infinitely long oscillations. Here we analyze information transfer by time-limited calcium spike trains. We show that proteins can be selectively activated in a resonance-like manner by time-limited spike trains of different frequencies, while infinitely long oscillations do not show this resonance phenomenon. We found that proteins are activated more specifically by shorter oscillatory signals with narrower spikes.     

A quantitative kinetic model for ATP-induced intracellular Ca2+ oscillations

A quantitative kinetic model is proposed to simulate the ATP-induced intracellular Ca(2+) oscillations. The quantitative effect of ATP concentration upon the oscillations was successfully simulated. Our simulation results support previous experimental explanations that the Ca(2+) oscillations are mainly due to interaction of Ca(2+) release from the endoplasmic reticulum (ER) and the ATP-dependent Ca(2+) pump back into the ER, and the oscillations are prolonged by extracellular Ca(2+) entry that maintains the constant Ca(2+) supplies to its intracellular stores. The model is also able to simulate the sudden disappearance phenomenon of the Ca(2+) oscillations observed in some cell types by taking into account of the biphasic characteristic of the Ca(2+) release from the endoplasmic reticulum (ER). Moreover, the model simulation results for the Ca(2+) oscillations characteristics such as duration, peak [Ca(2+)](cyt), and average interval, etc., lead to prediction of some possible factors responsible for the variations of Ca(2+) oscillations in different types of cells.     

A model of intracellular Ca2+ oscillations based on the activity of the intermediate-conductance Ca2+-activated K+ channels

Intracellular Ca2+ oscillations are observed in a large number of non-excitable cells. While most appear to reflect an intermittent Ca2+ release from intracellular stores, in some instances intracellular Ca2+ oscillations strongly depend on Ca2+ influx, and are coupled to oscillations of the membrane potential, suggesting that a plasma membrane-based mechanism may be involved. We have developed a theoretical model for the latter type of intracellular Ca2+ oscillations based on the Ca2+-dependent modulation of the intermediate-conductance, Ca2+-activated K+ (IKCa) channel. The functioning of this model relies on the Ca2+-dependent activation, and the much slower Ca2+-dependent rundown of this channel. We have shown that Ca2+-dependent activation of the IKCa channels, the consequent membrane hyperpolarization and the resulting increase in Ca2+ influx may confer the positive feedback mechanism required for the ascending phase of the oscillation. The much slower Ca2+-dependent rundown process will conversely halt this positive loop, and establish the descending phase of the intracellular Ca2+ oscillation. We found that this simple model gives rise to intracellular Ca2+ oscillations when using physiologically reasonable parameters, suggesting that IKCa channels could participate in the generation of intracellular Ca2+ oscillations.     

Buffers and oscillations in intracellular Ca2+ dynamics

I model the behavior of intracellular Ca(2+) release with high buffer concentrations. The model uses a spatially discrete array of channel clusters. The channel subunit dynamics is a stochastic representation of the DeYoung-Keizer model. The calculations show that the concentration profile of fast buffer around an open channel is more localized than that of slow buffers. Slow buffers allow for release of larger amounts of Ca(2+) from the endoplasmic reticulum and hence bind more Ca(2+) than fast buffers with the same dissociation constant and concentration. I find oscillation-like behavior for high slow buffer concentration and low Ca(2+) content of the endoplasmic reticulum. High concentration of slow buffer leads to oscillation-like behavior by repetitive wave nucleation for high Ca(2+) content of the endoplasmic reticulum. Localization of Ca(2+) release by slow buffer, as used in experiments, can be reproduced by the modeling approach.     

Stimulation of intracellular Ca2+ oscillations by diacylglycerol in human myometrial cells

Stimulation of G-protein coupled membrane receptors linked to phospholipase C results in production of the second messengers diacylglycerol and inositol-1,4,5-trisphosphate (IP3). IP3 releases Ca2+ from the endoplasmic reticulum, which triggers increased Ca2+ influx across the plasma membrane, so-called capacitative calcium entry. DAG can also activate plasma membrane calcium-permeable channels but the mechanism is still not fully understood. In the pregnant human myometrial cell line PHM1 and in primary myometrial cells, 1-oleoyl-2-acetyl-sn-glycerol (OAG), a membrane-permeant analogue of diacylglycerol, induced variable oscillatory patterns of intracellular free Ca2+. Similar behavior was seen with Sr2+ entry. The Ca2+ oscillations were not blocked by a broad spectrum of protein kinase C inhibitors, including chelerytrine, bisindolylmaleimide I and calphostin C, and were enhanced and prolonged by RHC-80267, an inhibitor of diacylglycerol lipase. The OAG-induced oscillatory response was not dependent on Ca2+ release from the endoplasmic reticulum but required extracellular Ca2+. Our results indicate that diacylglycerol directly activates cation channels in PHM1 and primary myometrial cells and promotes intracellular Ca2+ oscillations by actions independent of intracellular Ca2+ -ATPase activity and protein kinase C involvement.     

Epidermal growth factor induces intracellular Ca2+ oscillations in microvascular endothelial cells

An increase in intracellular Ca(2+) concentration ([Ca(2+)](i)) may play a role in the proliferative effect of several growth factors. In this study, the changes in [Ca(2+)](i) elicited by epidermal growth factor (EGF) in rat cardiac microvascular endothelial cells (CMEC) have been investigated by using fura-2 conventional and confocal microscopy. A large heterogeneity in the latency and in the pattern of the Ca(2+) response was found at each dose of EGF (2.5-100 ng/ml), whereas some cells displayed a non-oscillatory behavior and others exhibited a variable number of Ca(2+) oscillations. On average, the fraction of responsive cells, the total number of oscillations and the duration of the Ca(2+) signal were higher at around 10 ng/ml EGF, while there was no dose-dependence in the lag time and in the amplitude of the [Ca(2+)](i) increase. EGF-induced Ca(2+) spikes were abolished by the tyrosine kinase inhibitor genistein, but not by its inactive analogue daidzein, and by the phospholipase C blocker NCDC. Only 1-2 transients could be elicited in Ca(2+)-free solution, while re-addition of extracellular Ca(2+) recovered the spiking activity. The oscillatory signal was prevented by the SERCA inhibitor thapsigargin and abolished by the calcium entry blockers Ni(2+) and La(3+). Moreover, EGF-induced Ca(2+) transients were abolished by the InsP(3) receptor blocker caffeine, while ryanodine was without effect. Confocal imaging microscopy showed that the Ca(2+) response to EGF was localized both in the cytoplasm and in the nucleus. We suggest that EGF-induced [Ca(2+)](i) increase may play a role in the proliferative action of EGF on endothelial cells.     

FK506 blocks intracellular Ca2+ oscillations in bovine adrenal glomerulosa cells

The inositol 1,4,5-trisphosphate (InsP(3)) receptor is a ligand-gated Ca(2+) channel playing an important role in the control of intracellular Ca(2+). In the study presented here, we demonstrate that angiotensin (AngII), phorbol ester (PMA), and FK506 significantly increase the level of InsP(3) receptor phosphorylation in intact bovine adrenal glomerulosa cells. With a back-phosphorylation approach, we showed that the InsP(3) receptor is a good substrate for protein kinase C (PKC) and that FK506 increases the level of PKC-mediated InsP(3) receptor phosphorylation. With a microsomal preparation from bovine adrenal cortex, we showed that PKC enhances the release of Ca(2+) induced by a submaximal dose of InsP(3). We also showed that FK506 blocks intracellular Ca(2+) oscillations in isolated adrenal glomerulosa cells by progressively increasing the intracellular Ca(2+) concentration to a high plateau level. This effect is consistent with an inhibitory role of FK506 on calcineurin dephosphorylation of the InsP(3) receptor, thus keeping the receptor in a phosphorylated, high-conductance state. Our results provide further evidence for the crucial role of the InsP(3) receptor in the regulation of intracellular Ca(2+) oscillations and show that FK506, by maintaining the phosphorylated state of the InsP(3) receptor, causes important changes in the Ca(2+) oscillatory process.     

Characterisation of serum-induced intracellular Ca2+ oscillations in primary bone marrow stromal cells

Intracellular Ca2+ signalling is pivotal to cell function and [Ca2+]i oscillations permit precise and prolonged modulation of an array of Ca2+-sensitive processes without the need for extended, global elevations in [Ca2+]i. We have studied [Ca2+]i signalling in primary rat marrow stromal cells exposed to foetal calf serum (FCS) constituents at concentrations up to those required to promote growth and differentiation in culture. Spontaneous [Ca2+]i signalling was not observed, but exposure to 1% FCS induced regular, sustained Ca2+ oscillations in 41 +/- 3% of cells. Incidence of FCS-induced oscillations was dose-dependent, saturating at 0.5%. These oscillations were arrested by disruption of Ca2+ stores with 100 nM-1 microM thapsigargin or discharge of mitochondrial membrane potential and were sensitive to blockade of IP3-receptors by 50 microM 2-amino-ethoxydiphenyl borate (2-APB) and inhibition of phospholipase C with 5 microM U73122. The oscillations decreased in frequency and amplitude following inhibition of Ca2+ influx with EGTA or La3+ but were poorly sensitive to nifedipine (1-10 microM) and Bay K 8644 (300 nM). The factor(s) responsible for inducing [Ca2+]i oscillations are heat stable, insensitive to disulphide bond reduction with 20 mM dithioerythritol and retained by a 30 kDa molecular weight filter. Serum is routinely present in culture medium at 10%-15% [v/v] and marrow stromal cells maintained under culture conditions exhibited sustained oscillations. This is the first demonstration of agonist-induced complex Ca2+ signals in marrow stromal cells. We conclude that Ca2+ oscillations occur constantly in these cells in culture and are potentially important regulators of cell proliferation and differentiation.     

Modeling the impact of store-operated Ca2+ entry on intracellular Ca2+ oscillations

Calcium (Ca2+) oscillations play fundamental roles in various cell signaling processes and have been the subject of numerous modeling studies. Here we have implemented a general mathematical model to simulate the impact of store-operated Ca2+ entry on intracellular Ca2+ oscillations. In addition, we have compared two different models of the inositol 1,4,5-trisphosphate (IP3) receptor (IP3R) and their influences on intracellular Ca2+ oscillations. Store-operated Ca2+ entry following Ca2+ depletion of endoplasmic reticulum (ER) is an important component of Ca2+ signaling. We have developed a phenomenological model of store-operated Ca2+ entry via store-operated Ca2+ (SOC) channels, which are activated upon ER Ca2+ depletion. The depletion evokes a bi-phasic Ca2+ signal, which is also produced in our mathematical model. The IP3R is an important regulator of intracellular Ca2+ signals. This IP3 sensitive Ca2+ channel is also regulated by Ca2+. We apply two IP3R models, the Mak-McBride-Foskett model and the De Young and Keizer model, with significantly different channel characteristics. Our results show that the two separate IP3R models evoke intracellular Ca2+ oscillations with different frequencies and amplitudes. Store-operated Ca2+ entry affects the oscillatory behavior of these intracellular Ca2+ oscillations. The IP3 threshold is altered when store-operated Ca2+ entry is excluded from the model. Frequencies and amplitudes of intracellular Ca2+ oscillations are also altered without store-operated Ca2+ entry. Under certain conditions, when intracellular Ca2+ oscillations are absent, excluding store-operated Ca2+ entry induces an oscillatory response. These findings increase knowledge concerning store-operated Ca2+ entry and its impact on intracellular Ca2+ oscillations.     

Staphylococcal enterotoxin A modulates intracellular Ca2+ signal pathway in human intestinal epithelial cells

We demonstrate here that staphylococcal enterotoxin A (SEA) induces an increase in intracellular calcium ([Ca2+]i) in human intestinal epithelial cells and the [Ca2+]i is released from intracellular stores. SEA-induced increase of [Ca2+]i was clearly inhibited by treatment with a nitric oxide synthase (NOS) inhibitors, N(G)-monomethyl-L-arginine and guanidine. Intestinal epithelial cells express endothelial NOS in resting cell condition, and express inducible NOS after stimulating with tumor necrosis factor (TNF)-alpha. TNF-alpha-pretreated cells showed a significant increase in [Ca2+]i that was also inhibited by the NOS inhibitor. These results suggest that SEA modulated [Ca2+]i signal is dependent on NOS expression in human intestinal epithelial cells.     

Involvement of phosphodiesterase-cGMP-PKG pathway in intracellular Ca2+ oscillations in pituitary GH3 cells

The present study investigates the potential role of the Ca2+-calmodulin-dependent type I phosphodiesterase (PDE)-cGMP-protein kinase G (PKG) pathway in spontaneous [Ca2+]i oscillations in GH3 cells using fura-2 single cell videoimaging. Vinpocetine (2.5-50 microM), a selective inhibitor of type I PDE, induced a concentration-dependent inhibition of spontaneous [Ca2+]i oscillations in these pituitary cells, and at the same time produced an increase of the intracellular cGMP content. The cell permeable cGMP analog N2,2'-O-dibutyryl-cGMP (dB-cGMP) (1 mM) caused a progressive reduction of the frequency and the amplitude of spontaneous [Ca2+]i oscillations when added to the medium. KT5823 (400 nM), a selective inhibitor of cGMP-dependent protein kinase (PKG), produced an increase of baseline [Ca2+]i and the disappearance of spontaneous [Ca2+]i oscillations. When KT5823 was added before vinpocetine, the PKG inhibitor counteracted the [Ca2+]i lowering effect of the cGMP catabolism inhibitor. Finally, the removal of extracellular Ca2+ or the blockade of L-type voltage-sensitive calcium channels (VSCC) by nimodipine produced a decrease of cytosolic cGMP levels. Collectively, the results of the present study suggest that spontaneous [Ca2+]i oscillations in GH3 cells may be regulated by the activity of type I PDE-cGMP-PKG pathway.     

Feedback inhibition of Ca2+ release by Ca2+ is the underlying mechanism of agonist-evoked intracellular Ca2+ oscillations in pancreatic acinar cells.

Oscillations of free intracellular Ca2+ concentration ([Ca2+]i) are known to occur in many cell types during physiological cell signaling. To identify the basis for the oscillations, we measured both [Ca2+]i and extracellular Ca2+ concentration ([Ca2+]o) to follow the fate of Ca2+ during stimulation of [Ca2+]i oscillations in pancreatic acinar cells. [Ca2+]i oscillations were initiated by either t-butyloxycarbonyl-Tyr(SO3)-Nle-Gly-Tyr-Nle-Asp-2-phenylethyl ester (CCK-J), which mobilized Ca2+ from the inositol 1,4,5-trisphosphate (IP3)-insensitive pool, or low concentration of cholecystokinin octapeptide (CCK-OP), which mobilized Ca2+ from the IP3-sensitive internal pool. Little Ca2+ efflux occurred during the oscillations triggered by CCK-J or CCK-OP in spite of a large average increase in [Ca2+]i. When internal store Ca2+ pumps were inhibited with thapsigargin (Tg) during [Ca2+]i oscillations, a rapid Ca2+ efflux occurred similar to that measured in intensely stimulated, nonoscillatory cells. Tg also stimulated 45Ca efflux from internal pools of cells stimulated with CCK-J or a low concentration of CCK-OP. Hence, a large fraction of the Ca2+ released during each spike is reincorporated by the internal store Ca2+ pumps. Surprisingly, when the increase in [Ca2+]i during stimulation of oscillations was prevented by loading the cells with 1,2-bis(2-aminophenoxy) ethane-N,N,N',N'-tetraacetic acid, a persistent activation of Ca2+ release and Ca2+ efflux occurred. This was reflected as a persistent increase in [Ca2+]o in cells suspended at low [Ca2+]o or persistent efflux of 45Ca from internal stores of cells maintained at high [Ca2+]o. Since agonist-stimulated Ca2+ release evidently remains activated when [Ca2+]i is highly buffered, the primary mechanism determining Ca2+ oscillations must include an inhibition of Ca2+ release by [Ca2+]i. Loading the cells with 1,2-bis(2-aminophenoxy)ethane-N,N,N',N'-tetraacetic acid had no apparent effect on the levels or kinetics of IP3 formation in agonist-stimulated cells. This suggests that [Ca2+]i regulated the oscillation by inhibition of Ca2+ release independent of its possible effects on cellular levels of IP3.     

Ca2+ influx-dependent refilling of intracellular Ca2+ stores determines the frequency of Ca2+ oscillations in fertilized mouse eggs

On mammalian fertilization, long-lasting Ca²⁺ oscillations are induced in the egg by the fusing spermatozoon. While each transient Ca²⁺ increase in Ca²⁺ concentration ([Ca²⁺]) in the cytosol is due to Ca²⁺ release from the endoplasmic reticulum (ER), Ca²⁺ influx from outside is required for Ca²⁺ oscillations to persist. In this study, we investigated how Ca²⁺ influx is interrelated to the cycle of Ca²⁺ release and uptake by the intracellular Ca²⁺ stores during Ca²⁺ oscillations in fertilized mouse eggs. In addition to monitoring cytosolic [Ca²⁺] with fura-2, the influx rate was evaluated using Mn²⁺ quenching technique, and the change in [Ca²⁺] in the ER lumen was visualized with a targeted fluorescent probe. We found that the influx was stimulated after each transient Ca²⁺ release and then diminished gradually to the basal level, and demonstrated that the ER Ca²⁺ stores once depleted by Ca²⁺ release were gradually refilled until the next Ca²⁺ transient to be initiated. Experiments altering extracellular [Ca²⁺] in the middle of Ca²⁺ oscillations revealed the dependence of both the refilling rate and the oscillation frequency on the rate of Ca²⁺ influx, indicating the crucial role of Ca²⁺ influx in determining the intervals of Ca²⁺ transients. As for the influx pathway supporting Ca²⁺ oscillations to persist, STIM1/Orai1-mediated store-operated Ca²⁺ entry (SOCE) may not significantly contribute, since neither known SOCE blockers nor the expression of protein fragments that interfere the interaction between STIM1 and Orai1 inhibited the oscillation frequency or the influx rate.     

Listeriolysin of Listeria monocytogenes forms Ca2+-permeable pores leading to intracellular Ca2+ oscillations

Listeriolysin (LLO) is a major virulence factor of Listeria monocytogenes, a Gram-positive bacterium that can cause life-threatening diseases. Various signalling events and cellular effects, including modulation of gene expression, are triggered by LLO through unknown mechanisms. Here, we demonstrate that LLO applied extracellularly at sublytic concentrations causes long-lasting oscillations of the intracellular Ca2+ level of human embryonic kidney cells; resulting from a pulsed influx of extracellular Ca2+ through pores that are formed by LLO in the plasma membrane. Calcium influx does not require the activity of endogenous Ca2+ channels. LLO-formed pores are transient and oscillate between open and closed states. Pore formation and Ca2+ oscillations were also observed after exposure of cells to native Listeria monocytogenes. Our data identify LLO as a tool used by Listeria monocytogenes to manipulate the intracellular Ca2+ level without direct contact of the bacterium with the target cell. As Ca2+ oscillations modulate cellular signalling and gene expression, our findings provide a potential molecular basis for the broad spectrum of Ca2+-dependent cellular responses induced by LLO during Listeria infection.     

Mechanical stimulation and intercellular communication increases intracellular Ca2+ in epithelial cells.

Intercellular communication of epithelial cells was examined by measuring changes in intracellular calcium concentration ([Ca2+]i). Mechanical stimulation of respiratory tract ciliated cells in culture induced a wave of increasing Ca2+ that spread, cell by cell, from the stimulated cell to neighboring cells. The communication of these Ca2+ waves between cells was restricted or blocked by halothane, an anesthetic known to uncouple cells. In the absence of extracellular Ca2+, the mechanically stimulated cell showed no change or a decrease in [Ca2+]i, whereas [Ca2+]i increased in neighboring cells. Iontophoretic injection of inositol 1,4,5-trisphosphate (IP3) evoked a communicated Ca2+ response that was similar to that produced by mechanical stimulation. These results support the hypothesis that IP3 acts as a cellular messenger that mediates communication through gap junctions between ciliated epithelial cells.     

An antagonist of cADP-ribose inhibits arrhythmogenic oscillations of intracellular Ca2+ in heart cells.

Oscillations of Ca2+ in heart cells are a major underlying cause of important cardiac arrhythmias, and it is known that Ca2+-induced release of Ca2+ from intracellular stores (the sarcoplasmic reticulum) is fundamental to the generation of such oscillations. There is now evidence that cADP-ribose may be an endogenous regulator of the Ca2+ release channel of the sarcoplasmic reticulum (the ryanodine receptor), raising the possibility that cADP-ribose may influence arrhythmogenic mechanisms in the heart. 8-Amino-cADP-ribose, an antagonist of cADP-ribose, suppressed oscillatory activity associated with overloading of intracellular Ca2+ stores in cardiac myocytes exposed to high doses of the beta-adrenoreceptor agonist isoproterenol or the Na+/K+-ATPase inhibitor ouabain. The oscillations suppressed by 8-amino-cADP-ribose included intracellular Ca2+ waves, spontaneous action potentials, after-depolarizations, and transient inward currents. Another antagonist of cADP-ribose, 8-bromo-cADP-ribose, was also effective in suppressing isoproterenol-induced oscillatory activity. Furthermore, in the presence of ouabain under conditions in which there was no arrhythmogenesis, exogenous cADP-ribose was found to be capable of triggering spontaneous contractile and electrical activity. Because enzymatic machinery for regulating the cytosolic cADP-ribose concentration is present within the cell, we propose that 8-amino-cADP-ribose and 8-bromo-cADP-ribose suppress cytosolic Ca2+ oscillations by antagonism of endogenous cADP-ribose, which sensitizes the Ca2+ release channels of the sarcoplasmic reticulum to Ca2+.     

Endothelin-induced contraction of bronchiole and pulmonary arteriole smooth muscle cells is regulated by intracellular Ca2+ oscillations and Ca2+ sensitization

Endothelin-1 (ET) induces increases in intracellular Ca(2+) concentration ([Ca(2+)](i)), Ca(2+) sensitization, and contraction of both bronchiole and pulmonary arteriole smooth muscle cells (SMCs) and may play an important role in the pathophysiology of asthma and pulmonary hypertension. However, because it remains unclear how changes in [Ca(2+)](i) and the Ca(2+) sensitivity regulate SMC contraction, we have studied mouse lung slices with phase-contrast and confocal microscopy to correlate the ET-induced contraction with the changes in [Ca(2+)](i) and Ca(2+) sensitivity of bronchiole and arteriole SMCs. In comparison with acetylcholine (ACh) or serotonin (5-HT), ET induced a stronger and long-lasting contraction of both bronchioles and arterioles. This ET-induced contraction was associated with prominent asynchronous Ca(2+) oscillations that were propagated as Ca(2+) waves along the SMCs. These Ca(2+) oscillations were mediated by cyclic intracellular Ca(2+) release and required external Ca(2+) for their maintenance. Importantly, as the frequency of the Ca(2+) oscillations increased, the extent of contraction increased. ET-induced contraction was also associated with an increase in Ca(2+) sensitivity. In "model" slices in which the [Ca(2+)](i) was constantly maintained at an elevated level by pretreatment of slices with caffeine and ryanodine, the addition of ET increased bronchiole and arteriole contraction. These results indicate that ET-induced contraction of bronchiole and arteriole SMCs is regulated by the frequency of Ca(2+) oscillations and by increasing the sensitivity of the contractile machinery to Ca(2+).     

Ca2+ channels and intracellular Ca2+ stores in neuronal and neuroendocrine cells

Changes in [Ca2+]i are essential in modulating a variety of cellular functions. In no other cell type does the regulation of [Ca2+]i reach the level of sophistication observed in cells of neuronal origin. Because of its physicochemical characteristics, the fluorescent Ca2+ indicator Fura-2 has become extremely popular among neuroscientists. The use of this probe, however, has generated a number of problems, in particular, extracytosolic trapping and leakage from intact cells. In the first part of this contribution we briefly discuss the practical application of Fura-2 to the study of [Ca2+]i in primary cultures of neurons and astrocytes. In the second part, we review some recent data (mainly from our laboratories) obtained in neurons and neuroendocrine cells, concerning the regulation of different types of Ca2+ channels and the role and mechanism of intracellular Ca2+ mobilization. The experimental evidence supporting the existence of a previously unrecognised organelle, the calciosome, that we hypothesize represents the functional equivalent in non-muscle cells of sarcoplasmic reticulum, will also briefly be discussed.