Activation of pannexin 1 channels by ATP through P2Y receptors and by cytoplasmic calcium

The ability for long-range communication through intercellular calcium waves is inherent to cells of many tissues. A dual propagation mode for these waves includes passage of IP3 through gap junctions as well as an extracellular pathway involving ATP. The wave can be regenerative and include ATP-induced ATP release via an unknown mechanism. Here, we show that pannexin 1 channels can be activated by extracellular ATP acting through purinergic receptors of the P2Y group as well as by cytoplasmic calcium. Based on its properties, including ATP permeability, pannexin 1 may be involved in both initiation and propagation of calcium waves.     

胶质细胞的细胞间通讯

星型胶质细胞虽然没有动作电位,但是可以表达多种受体和离子通道,并且以细胞内钙波传递的方式来响应各类刺激。星型胶质细胞同样可以释放多种信号分子来介导细胞间的通讯。尤为特别的是,星型胶质细胞的钙波传播和突触功能的反馈调节都需要其释放ATP才得以完成。然而,星型胶质细胞释放ATP的途径和机理还有待研究。尽管人们已经在星型胶质细胞中发现了小囊泡和大致密核心囊泡的标记物,可是用以胞吐的囊泡究竟是什么还并不清楚。作者等近期的研究成果表明,FM染料——一种被成功应用于研究神经元和其他分泌型细胞囊泡循环的染料,可以特异地标记星型胶质细胞的溶酶体,并依不同程度的刺激表现出两种不同模式的钙离子依赖性胞吐：在较低强度刺激下（ATP,谷氨酸）发生部分胞吐,而在高强度刺激下（氰化钾）则发生完全胞吐。进一步研究表明,溶酶体中含有大量ATP,并且在部分胞吐时少量释放ATP,完全胞吐时大量释放ATP,同时释放溶酶体酶。选择性地裂解星型胶质细胞的溶酶体,发现ATP释放和钙波传播都消失了。总之,星型胶质细胞的溶酶体可以通过调节性胞吐对生理和病理条件下的细胞间信号传递产生重要意义。     

Mitochondria regulate Ca2+ wave initiation and inositol trisphosphate signal transduction in oligodendrocyte progenitors

Mitochondria in oligodendrocyte progenitor cells (OPs) take up and release cytosolic Ca2+ during agonist-evoked Ca2+ waves, but it is not clear whether or how they regulate Ca2+ signaling in OPs. We asked whether mitochondria play an active role during agonist-evoked Ca2+ release from intracellular stores. Ca2+ puffs, wave initiation, and wave propagation were measured in fluo-4 loaded OP processes using linescan confocal microscopy. Mitochondrial depolarization, measured by tetramethyl rhodamine ethyl ester (TMRE) fluorescence, accompanied Ca2+ puffs and waves. In addition, waves initiated only where mitochondria were localized. To determine whether energized mitochondria were necessary for wave generation, we blocked mitochondrial function with the electron transport chain inhibitor antimycin A (AA) in combination with oligomycin. AA decreased wave speed and puff probability. These effects were not due to global changes in ATP. We found that AA increased cytosolic Ca2+, markedly reduced agonist-evoked inositol trisphosphate (IP3) production, and also enhanced phosphatidylinositol 4,5-bisphosphate (PIP2) binding to the Ca2+ dependent protein gelsolin. Thus, the reduction in puff probability and wave speed after AA treatment may be explained by competition for PIP2 between phospholipase C and gelsolin. Energized mitochondria and low cytosolic Ca2+ concentration may be required to maintain PIP2, a substrate for IP3 signal transduction.     

Control of calcium signal propagation to the mitochondria by inositol 1,4,5-trisphosphate-binding proteins

Cytosolic Ca2+ ([Ca2+]c) signals triggered by many agonists are established through the inositol 1,4,5-trisphosphate (IP3) messenger pathway. This pathway is believed to use Ca2+-dependent local interactions among IP3 receptors (IP3R) and other Ca2+ channels leading to coordinated Ca2+ release from the endoplasmic reticulum throughout the cell and coupling Ca2+ entry and mitochondrial Ca2+ uptake to Ca2+ release. To evaluate the role of IP3 in the local control mechanisms that support the propagation of [Ca2+]c waves, store-operated Ca2+ entry, and mitochondrial Ca2+ uptake, we used two IP3-binding proteins (IP3BP): 1) the PH domain of the phospholipase C-like protein, p130 (p130PH); and 2) the ligand-binding domain of the human type-I IP3R (IP3R224-605). As expected, p130PH-GFP and GFP-IP3R224-605 behave as effective mobile cytosolic IP3 buffers. In COS-7 cells, the expression of IP3BPs had no effect on store-operated Ca2+ entry. However, the IP3-linked [Ca2+]c signal appeared as a regenerative wave and IP3BPs slowed down the wave propagation. Most importantly, IP3BPs largely inhibited the mitochondrial [Ca2+] signal and decreased the relationship between the [Ca2+]c and mitochondrial [Ca2+] signals, indicating disconnection of the mitochondria from the [Ca2+]c signal. These data suggest that IP3 elevations are important to regulate the local interactions among IP3Rs during propagation of [Ca2+]c waves and that the IP3-dependent synchronization of Ca2+ release events is crucial for the coupling between Ca2+ release and mitochondrial Ca2+ uptake.     

ATP-induced ATP release from astrocytes

Propagation of interastrocyte Ca2+ waves is mediated by diffusion of extracellular adenosine triphosphate (ATP), and may require regenerative release of ATP. The ability of ATP to initiate release of intracellular ATP was assessed by labeling adenine nucleotide pools in astrocyte cultures with 14C-adenine. The 14C-purines released during exposure to ATP were then identified by thin-layer chromatography. ATP treatment caused a five-fold increase in release of 14C-ATP but not 14C-ADP or 14C-AMP, indicating selectivity for release of ATP. Other P2 receptor agonists also caused significant 14C-ATP release, and the P2 receptor antagonists suramin, reactive blue-2 and pyridoxalphosphate-6-azo(benzene-2,4-disulfonic acid) (PPADS) inhibited ATP-induced 14C-ATP release to varying degrees, suggesting the involvement of a P2 receptor. ATP-induced 14C-ATP release was not affected by chelation of intracellular Ca2+ with BAPTA-AM, or by blockers of Ca2+ release from intracellular stores or of extracellular Ca2+ influx, suggesting a Ca2+-independent response. ATP-induced 14C-ATP release was significantly inhibited by non-selective anion channel blockers but not by blockers of ATP-binding cassette proteins, gap junction hemichannels, or vesicular exocytosis. Release of adenine nucleotides induced by 0 Ca2+ was, in contrast, not selective for ATP, and was susceptible to inhibition by gap junction blockers. These findings indicate that astrocytes are capable of ATP-induced ATP release and support a role for regenerative ATP release in glial Ca2+ wave propagation.     

Molecular mechanisms of intracellular calcium excitability in X. laevis oocytes.

Following receptor activation in Xenopus oocytes, spiral waves of intracellular Ca2+ release were observed. We have identified key molecular elements in the pathway that give rise to Ca2+ excitability. The patterns of Ca2+ release produced by GTP-gamma-S and by inositol 1,4,5-trisphosphate (IP3) are indistinguishable from receptor-induced Ca2+ patterns. The regenerative Ca2+ activity is critically dependent on the presence of IP3 and on the concentration of intracellular Ca2+, but is independent of extracellular Ca2+. Broad regions of the intracellular milieu can be synchronously excited to initiate Ca2+ waves and produce pulsating foci of Ca2+ release. By testing the temperature dependence of wavefront propagation, we provide evidence for an underlying process limited by diffusion, consistent with the elementary theory of excitable media. We propose a model for intracellular Ca2+ signaling in which wave propagation is controlled by IP3-mediated Ca2+ release from internal stores, but is modulated by the cytoplasmic concentration and diffusion of Ca2+.     

Increased sensitivity and clustering of elementary Ca2+ release events during oocyte maturation

The universal signal for egg activation at fertilization is a rise in cytoplasmic Ca(2+) with defined spatial and temporal kinetics. Mammalian and amphibian eggs acquire the ability to produce such Ca(2+) signals during a maturation period that precedes fertilization and encompasses resumption of meiosis and progression to metaphase II. In Xenopus, immature oocytes produce fast, saltatory Ca(2+) waves that can be oscillatory in nature in response to IP(3). In contrast, mature eggs produce a single continuous, sweeping Ca(2+) wave in response to IP(3) or sperm fusion. The mechanisms mediating the differentiation of Ca(2+) signaling during oocyte maturation are not well understood. Here, I characterized elementary Ca(2+) release events (Ca(2+) puffs) in oocytes and eggs and show that the sensitivity of IP(3)-dependent Ca(2+) release is greatly enhanced during oocyte maturation. Furthermore, Ca(2+) puffs in eggs have a larger spatial fingerprint, yet are short lived compared to oocyte puffs. Most interestingly, Ca(2+) puffs cluster during oocyte maturation resulting in a continuum of Ca(2+) release sites over space in eggs. These changes in the spatial distribution of elementary Ca(2+) release events during oocyte maturation explain the continuous nature and slower speed of the fertilization Ca(2+) wave.     

The Local Control of Cytosolic Ca2+ as a Propagator of CNS Communication—Integration of Mitochondrial Transport Mechanisms and Cellular Responses

Ca²⁺ signals propagate in wave form along individual cells of the central nervous system(CNS) and through networks of connected cells of neuronal and multiple glial cell types. Inorder for wave fronts to convey information, signaling mechanisms are required that allowwaves to propagate reproducibly and without decrement in signal strength over long distances.CNS Ca²⁺ waves are under specific integrated local control, made possible by interactions atlocal subcellular microdomains between endoplasmic reticulum and mitochondria. Activemitochondria located near the mouth of inositol trisphosphate receptor (InsP₃R) channel clustersin glia take up Ca²⁺, which may prevent a buildup of Ca²⁺ around the InsP₃R channel, therebydecreasing the rate of Ca²⁺-induced receptor inactivation, and prolonging channel open time.Mitochondria may amplify InsP;i3-dependent Ca2;pl signals by a transient permeability transitionin response to Ca²⁺ uptake into the mitochondrion. Other evidence suggests privileged accessinto mitochondria for Ca²⁺ entering neurons by glutamatergic receptor channels. This enablesspecific signal modulation as the Ca²⁺ wave is propagated into neurons, such that mitochondrialocated close to glutamate channels can prolong the neuronal cytosolic response time bysuccessive uptake and release of Ca²⁺. Disruption of mitochondrial function deregulates theability of CNS-derived cells to undergo normal Ca²⁺ signaling and wave propagation.     

Mitochondria exert a negative feedback on the propagation of intracellular Ca2+ waves in rat cortical astrocytes.

We have used digital fluorescence imaging techniques to explore the interplay between mitochondrial Ca2+ uptake and physiological Ca2+ signaling in rat cortical astrocytes. A rise in cytosolic Ca2+ ([Ca2+]cyt), resulting from mobilization of ER Ca2+ stores was followed by a rise in mitochondrial Ca2+ ([Ca2+]m, monitored using rhod-2). Whereas [Ca2+]cyt recovered within approximately 1 min, the time to recovery for [Ca2+]m was approximately 30 min. Dissipating the mitochondrial membrane potential (Deltapsim, using the mitochondrial uncoupler carbonyl cyanide p-trifluoromethoxy-phenyl-hydrazone [FCCP] with oligomycin) prevented mitochondrial Ca2+ uptake and slowed the rate of decay of [Ca2+]cyt transients, suggesting that mitochondrial Ca2+ uptake plays a significant role in the clearance of physiological [Ca2+]cyt loads in astrocytes. Ca2+ signals in these cells initiated either by receptor-mediated ER Ca2+ release or mechanical stimulation often consisted of propagating waves (measured using fluo-3). In response to either stimulus, the wave traveled at a mean speed of 22.9 +/- 11.2 micrometer/s (n = 262). This was followed by a wave of mitochondrial depolarization (measured using tetramethylrhodamine ethyl ester [TMRE]), consistent with Ca2+ uptake into mitochondria as the Ca2+ wave traveled across the cell. Collapse of Deltapsim to prevent mitochondrial Ca2+ uptake significantly increased the rate of propagation of the Ca2+ waves by 50%. Taken together, these data suggest that cytosolic Ca2+ buffering by mitochondria provides a potent mechanism to regulate the localized spread of astrocytic Ca2+ signals.     

A quantitative model of purinergic junctional transmission of calcium waves in astrocyte networks

A principal means of transmitting intracellular calcium (Ca2+) waves at junctions between astrocytes involves the release of the chemical transmitter adenosine triphosphate (ATP). A model of this process is presented in which activation of purinergic P2Y receptors by ATP triggers the release of ATP, in an autocrine manner, as well as concomitantly increasing intracellular Ca2+. The dependence of the temporal characteristics of the Ca2+ wave are shown to critically depend on the dissociation constant (K(R)) for ATP binding to the P2Y receptor type. Incorporating this model astrocyte into networks of these cells successfully accounts for many of the properties of propagating Ca2+ waves, such as the dependence of velocity on the type of P2Y receptor and the time-lag of the Ca2+ wave behind the ATP wave. In addition, the conditions under which Ca2+ waves may jump from one set of astrocytes across an astrocyte-free lane to another set of astrocytes are quantitatively accounted for by the model. The properties of purinergic transmission at astrocyte junctions may determine many of the characteristics of Ca2+ propagation in networks of these cells.     

IP3-independent signalling of OX1 orexin/hypocretin receptors to Ca2+ influx and ERK

OX1 orexin receptors (OX1R) have been shown to activate receptor-operated Ca2+ influx pathways as their primary signalling pathway; however, investigations are hampered by the fact that orexin receptors also couple to phospholipase C, and therewith inositol-1,4,5-trisphosphate (IP3)-dependent Ca2+ release. We have here devised a method to block the latter signalling in order to focus on the mechanism of Ca2+ influx activation by OX1R in recombinant systems. Transient expression of the IP3-metabolising enzymes IP3-3-kinase-A (inositol-1,4,5-trisphosphate-->inositol-1,3,4,5-tetrakisphosphate) and type I IP3-5-phosphatase (inositol-1,4,5-trisphosphate-->inositol-1,4-bisphosphate) almost completely attenuated the OX1R-stimulated IP3 elevation and Ca2+ release from intracellular stores. Upon attenuation of the IP3-dependent signalling, the receptor-operated Ca2+ influx pathway became the only source for Ca2+ elevation, enabling mechanistic studies on the receptor-channel coupling. Attenuation of the IP3 elevation did not affect the OX1R-mediated ERK (extracellular signal-regulated kinase) activation in CHO cells, which supports our previous finding of the major importance of receptor-operated Ca2+ influx for this response.     

Vesicular ATP is the predominant cause of intercellular calcium waves in astrocytes

Brain astrocytes signal to each other and neurons. They use changes in their intracellular calcium levels to trigger release of transmitters into the extracellular space. These can then activate receptors on other nearby astrocytes and trigger a propagated calcium wave that can travel several hundred micrometers over a timescale of seconds. A role for endogenous ATP in calcium wave propagation in hippocampal astrocytes has been suggested, but the mechanisms remain incompletely understood. Here we explored how calcium waves arise and directly tested whether endogenously released ATP contributes to astrocyte calcium wave propagation in hippocampal astrocytes. We find that vesicular ATP is the major, if not the sole, determinant of astrocyte calcium wave propagation over distances between approximately 100 and 250 microm, and approximately 15 s from the point of wave initiation. These actions of ATP are mediated by P2Y1 receptors. In contrast, metabotropic glutamate receptors and gap junctions do not contribute significantly to calcium wave propagation. Our data suggest that endogenous extracellular astrocytic ATP can signal over broad spatiotemporal scales.     

Fertilisation calcium signals in the ascidian egg

The egg of ascidians (urochordate), as virtually all animal and plant species, displays Ca2+ signals upon fertilisation. These Ca2+ signals are repetitive Ca2+ waves that initiate in the cortex of the egg and spread through the whole egg interior. Two series of Ca2+ waves triggered from two distinct Ca2+ wave pacemakers entrain the two meiotic divisions preceding entry into the first interphase. The second messenger inositol (1,4,5) trisphosphate (IP3) is the main mediator of these global Ca2+ waves. Other Ca2+ signalling pathways (RyR and NAADPR) are functional in the egg but they mediate localised cortical Ca2+ signals whose physiological significance remains unclear. The meiosis I Ca2+ wave pacemaker is mobile and relies on intracellular Ca2+ release from the endoplasmic reticulum (ER) induced by a large production of IP3 at the sperm aster site. The meiosis II Ca2+ wave pacemaker is stably localised in a vegetal protrusion called the contraction pole. It is probable that a local production of IP3 in the contraction pole determines the site of this second pacemaker while functional interactions between ER and mitochondria regulate its activity. Finally, a third ectopic pacemaker can be induced by a global increase in IP3, making the ascidian egg a unique system where three different Ca2+ wave pacemakers coexist in the same cell.     

Role of glycogenolysis in stimulation of ATP release from cultured mouse astrocytes by transmitters and high K+ concentrations

This study investigates the role of glycogenolysis in stimulated release of ATP as a transmitter from astrocytes. Within the last 20 years our understanding of brain glycogenolysis has changed from it being a relatively uninteresting process to being a driving force for essential brain functions like production of transmitter glutamate and homoeostasis of potassium ions (K⁺) after their release from excited neurons. Simultaneously, the importance of astrocytic handling of adenosine, its phosphorylation to ATP and release of some astrocytic ATP, located in vesicles, as an important transmitter has also become to be realized. Among the procedures stimulating Ca²⁺-dependent release of vesicular ATP are exposure to such transmitters as glutamate and adenosine, which raise intra-astrocytic Ca²⁺ concentration, or increase of extracellular K⁺ to a depolarizing level that opens astrocytic L-channels for Ca²⁺ and thereby also increase intra-astrocytic Ca²⁺ concentration, a prerequisite for glycogenolysis. The present study has confirmed and quantitated stimulated ATP release from well differentiated astrocyte cultures by glutamate, adenosine or elevated extracellular K⁺ concentrations, measured by a luciferin/luciferase reaction. It has also shown that this release is virtually abolished by an inhibitor of glycogenolysis as well as by inhibitors of transmitter-mediated signaling or of L-channel opening by elevated K⁺ concentrations.     

Calcium waves in astrocytes-filling in the gaps.

Stimulus-evoked cellular responses are sometimes organized in the form of propagating waves of cytoplasmic Ca2+ increase. Ca2+ waves can be elicited in cultured astrocytes by the neurotransmitter glutamate; however, the propagation mechanism is unknown. Here, qualitative and quantitative features of propagation suggest that astrocytic Ca2+ waves are mediated by an intracellular signal that crosses intercellular junctions. The role of gap junctions in cell-cell Ca2+ wave propagation was specifically tested. Functional gap junctions were demonstrated using a noninvasive fluorescence recovery method and the gap junction blockers halothane and octanol. Gap junction closure prevented intracellular waves from propagating between cells without affecting the velocity of the intracellular wave itself. The pivotal role played by the gap junction creates the potential for dynamic changes in glial connectivity and long-range glial signaling.     

A single-pool model for intracellular calcium oscillations and waves in the Xenopus laevis oocyte.

We construct a minimal model of cytosolic free Ca2+ oscillations based on Ca2+ release via the inositol 1,4,5-trisphosphate (IP3) receptor/Ca2+ channel (IP3R) of a single intracellular Ca2+ pool. The model relies on experimental evidence that the cytosolic free calcium concentration ([Ca2+]c) modulates the IP3R in a biphasic manner, with Ca2+ release inhibited by low and high [Ca2+]c and facilitated by intermediate [Ca2+]c, and that channel inactivation occurs on a slower time scale than activation. The model produces [Ca2+]c oscillations at constant [IP3] and reproduces a number of crucial experiments. The two-dimensional spatial model with IP3 dynamics, cytosolic diffusion of IP3 (Dp = 300 microns 2 s-1), and cytosolic diffusion of Ca2+ (Dc = 20 microns 2 s-1) produces circular, planar, and spiral waves of Ca2+ with speeds of 7-15 microns.s-1, which annihilate upon collision. Increasing extracellular [Ca2+] influx increases wave speed and baseline [Ca2+]c. A [Ca2+]c-dependent Ca2+ diffusion coefficient does not alter the qualitative behavior of the model. An important model prediction is that channel inactivation must occur on a slower time scale than activation in order for waves to propagate. The model serves to capture the essential macroscopic mechanisms that are involved in the production of intracellular Ca2+ oscillations and traveling waves in the Xenopus laevis oocyte.     

A Dopaminergic Cell Line Variant Resistant to the Neurotoxin 1-Methyl-4-Phenyl-1,2,3,6-Tetrahydropyridine

Cholinergic nerve terminals were affinity purified from rat caudate nucleus. On stimulation with both 22.6 mM KCl and 50 microM veratridine, ATP was released in a Ca2+-dependent manner. The molar ratio of released acetylcholine to ATP (9:1) was closer to that found in isolated cholinergic vesicles (7:1) than whole terminals (3:1). Extracellular [14C]ATP was rapidly metabolized by these terminals to adenosine and inosine via ectonucleotidases. The terminals had a saturable, high-affinity uptake mechanism for adenosine (Km = 16.6 microM). Veratridine stimulation also caused the Ca2+-dependent release of nucleosides in a dipyridamole-sensitive manner. Both theophylline treatment and inhibition of extracellular ATP breakdown resulted in increased ATP and nucleoside release. Extracellular adenosine was shown to inhibit acetylcholine release, probably via the A1 receptor. The role of extracellular purines at the cholinergic nerve terminal is discussed.     

Shock Wave Treatment Enhances Cell Proliferation and Improves Wound Healing by ATP Release-coupled Extracellular Signal-regulated Kinase (ERK) Activation

Shock wave treatment accelerates impaired wound healing in diverse clinical situations. However, the mechanisms underlying the beneficial effects of shock waves have not yet been fully revealed. Because cell proliferation is a major requirement in the wound healing cascade, we used in vitro studies and an in vivo wound healing model to study whether shock wave treatment influences proliferation by altering major extracellular factors and signaling pathways involved in cell proliferation. We identified extracellular ATP, released in an energy- and pulse number-dependent manner, as a trigger of the biological effects of shock wave treatment. Shock wave treatment induced ATP release, increased Erk1/2 and p38 MAPK activation, and enhanced proliferation in three different cell types (C3H10T1/2 murine mesenchymal progenitor cells, primary human adipose tissue-derived stem cells, and a human Jurkat T cell line) in vitro. Purinergic signaling-induced Erk1/2 activation was found to be essential for this proliferative effect, which was further confirmed by in vivo studies in a rat wound healing model where shock wave treatment induced proliferation and increased wound healing in an Erk1/2-dependent fashion. In summary, this report demonstrates that shock wave treatment triggers release of cellular ATP, which subsequently activates purinergic receptors and finally enhances proliferation in vitro and in vivo via downstream Erk1/2 signaling. In conclusion, our findings shed further light on the molecular mechanisms by which shock wave treatment exerts its beneficial effects. These findings could help to improve the clinical use of shock wave treatment for wound healing.     

Calcium signaling in non-excitable cells: Ca2+ release and influx are independent events linked to two plasma membrane Ca2+ entry channels

The regulatory mechanism of Ca2+ influx into the cytosol from the extracellular space in non-excitable cells is not clear. The "capacitative calcium entry" (CCE) hypothesis suggested that Ca2+ influx is triggered by the IP(3)-mediated emptying of the intracellular Ca2+ stores. However, there is no clear evidence for CCE and its mechanism remains elusive. In the present work, we have provided the reported evidences to show that inhibition of IP(3)-dependent Ca2+ release does not affect Ca2+ influx, and the experimental protocols used to demonstrate CCE can stimulate Ca2+ influx by means other than emptying of the Ca2+ stores. In addition, we have presented the reports showing that IP(3)-mediated Ca2+ release is linked to a Ca2+ entry from the extracellular space, which does not increase cytosolic [Ca2+] prior to Ca2+ release. Based on these and other reports, we have provided a model of Ca2+ signaling in non-excitable cells, in which IP(3)-mediated emptying of the intracellular Ca2+ store triggers entry of Ca2+ directly into the store, through a plasma membrane TRPC channel. Thus, emptying and direct refilling of the Ca2+ stores are repeated in the presence of IP(3), giving rise to the transient phase of oscillatory Ca2+ release. Direct Ca2+ entry into the store is regulated by its filling status in a negative and positive manner through a Ca2+ -binding protein and Stim1/Orai complex, respectively. The sustained phase of Ca2+ influx is triggered by diacylglycerol (DAG) through the activation of another TRPC channel, independent of Ca2+ release. The plasma membrane IP(3) receptor (IP(3)R) plays an essential role in Ca2+ influx, by interacting with the DAG-activated TRPC, without the requirement of binding to IP(3).     

Properties of intracellular Ca2+ waves generated by a model based on Ca(2+)-induced Ca2+ release.

Cytosolic Ca2+ waves occur in a number of cell types either spontaneously or after stimulation by hormones, neurotransmitters, or treatments promoting Ca2+ influx into the cells. These waves can be broadly classified into two types. Waves of type 1, observed in cardiac myocytes or Xenopus oocytes, correspond to the propagation of sharp bands of Ca2+ throughout the cell at a rate that is high enough to permit the simultaneous propagation of several fronts in a given cells. Waves of type 2, observed in hepatocytes, endothelial cells, or various kinds of eggs, correspond to the progressive elevation of cytosolic Ca2+ throughout the cell, followed by its quasi-homogeneous return down to basal levels. Here we analyze the propagation of these different types of intracellular Ca2+ waves in a model based on Ca(2+)-induced Ca2+ release (CICR). The model accounts for transient or sustained waves of type 1 or 2, depending on the size of the cell and on the values of the kinetic parameters that measure Ca2+ exchange between the cytosol, the extracellular medium, and intracellular stores. Two versions of the model based on CICR are considered. The first version involves two distinct Ca2+ pools sensitive to inositol 1,4,5-trisphosphate (IP3) and Ca2+, respectively, whereas the second version involves a single pool sensitive both to Ca2+ and IP3 behaving as co-agonists for Ca2+ release. Intracellular Ca2+ waves occur in the two versions of the model based on CICR, but fail to propagate in the one-pool model at subthreshold levels of IP3. For waves of type 1, we investigate the effect of the spatial distribution of Ca(2+)-sensitive Ca2+ stores within the cytosol, and show that the wave fails to propagate when the distance between the stores exceeds a critical value on the order of a few microns. We also determine how the period and velocity of the waves are affected by changes in parameters measuring stimulation, Ca2+ influx into the cell, or Ca2+ pumping into the stores. For waves of type 2, the numerical analysis indicates that the best qualitative agreement with experimental observations is obtained for phase waves. Finally, conditions are obtained for the occurrence of "echo" waves that are sometimes observed in the experiments.