Wave of free calcium at fertilization in the sea urchin egg visualized with fura-2

A wave front of increased free calcium traversing the egg at fertilization is demonstrated in the sea urchin Lytechinus pictus. The use of the fluorescent calcium chelator fura-2 in combination with low-light-level TV microscopy and image processing allows the visualization of the Ca2+ wave front with high spatial and temporal resolution. Such a wave is demonstrated as increased fluorescence after an excitation of 340-nm wavelength and as the reciprocal image in form of a reduced fluorescence when excited at 380 nm. The band-like appearance of the wave resembles the Ca2+ wave described for larger eggs of other species. In a dispermic egg the high resolution of the system used allows us to recognize two waves of Ca2+ originating from the respective points of sperm entry.     

A wave of IP3 production accompanies the fertilization Ca2+ wave in the egg of the frog, Xenopus laevis: theoretical and experimental support

The fertilization Ca2+ wave in Xenopus laevis is a single, large wave of elevated free Ca2+ that is initiated at the point of sperm-egg fusion and traverses the entire width of the egg. This Ca2+ wave involves an increase in inositol-1,4,5-trisphosphate (IP3) resulting from the interaction of the sperm and egg, which then results in the activation of the endoplasmic reticulum Ca2+ release machinery. The extraordinarily large size of this cell (1.2 mm diameter) together with the small surface region of sperm-receptor activation makes special demands on the IP3-dependent Ca2+ mobilizing machinery. We propose a detailed model of the fertilization Ca2+ wave in Xenopus eggs that requires an accompanying wave of IP3 production. While the Ca2+ wave is initiated by a localized increase of IP3 near the site of sperm-egg fusion, the Ca2+ wave propagates via IP3 production correlated with the Ca2+ wave-possibly via Ca(2+)-mediated PLC activation. Such a Ca(2+)-mediated IP(3) production wave has not been required previously to explain the fertilization Ca2+ wave in eggs; we argue this is necessary to explain the observed IP3 dynamics in Xenopus eggs. To test our hypothesis, we have measured the IP3 levels from 20 nl "sips" of the egg cortex during wave propagation. We were unable to detect the low IP3 levels in unfertilized eggs, but after fertilization, [IP3] ranged from 175 to 430 nM at the sperm entry point and from 120 to 700 nM 90 degrees away once the Ca2+ wave passed that region about 2 min after fertilization. Prior to the Ca2+ wave reaching that region the IP3 levels were undetectable. Since significant IP3 could not diffuse to this region from the sperm entry point within 2 min, this observation is consistent with a regenerative wave of IP3 production.     

Nonlinear propagation of spherical calcium waves in rat cardiac myocytes.

Spontaneous calcium waves in enzymatically isolated rat cardiac myocytes were investigated by confocal laser scanning microscopy (CLSM) using the fluorescent Ca2+-indicator fluo-3 AM. As recently shown, a spreading wave of enhanced cytosolic calcium appears, most probably during Ca2+ overload, and is initiated by an elementary event called a "calcium spark." When measured by conventional fluorescence microscopy the propagation velocity of spontaneous calcium waves determined at several points along the cardiac myocyte was previously found to be constant. More precise measurements with a CLSM showed a nonlinear propagation. The wave velocity was low, close to the focus, and increased with increasing time and propagation length, approaching a maximum of 113 microns/s. This result was surprising, inasmuch as for geometrical reasons a decrease of the propagation velocity might be expected if the confocal plane is not identical with that plane where the focus of the wave was localized. It is suggested that the propagation velocity is essentially dependent on the curvature of the spreading wave. From the linear relationship of velocity versus curvature, a critical radius of 2.7 +/- 1.4 microns (mean +/- SD) was worked out, below which an outward propagation of the wave will not take place. Once released from a sufficiently extended cluster of sarcoplasmic reticulum release channels, calcium diffuses and will activate its neighbors. While traveling away, the volume into which calcium diffuses becomes effectively smaller than at low radii. This effect is the consequence of the summation of elementary events (Ca2+ sparks) and leads to a steeper increase of the cytosolic calcium concentration after a certain diffusion path length. Thus the time taken to reach a critical threshold of [Ca2+]i at the neighboring calcium release sites decreases with decreasing curvature and the wave will propagate faster.     

Oscillations and waves of cytosolic calcium: insights from theoretical models.

Oscillations in cytosolic Ca2+ occur in a wide variety of cells, either spontaneously or as a result of external stimulation. This process is often accompanied by intracellular Ca2+ waves. A number of theoretical models have been proposed to account for the periodic generation and spatial propagation of Ca2+ signals. These models are reviewed and their predictions compared with experimental observations. Models for Ca2+ oscillations can be distinguished according to whether or not they rely on the concomitant, periodic variation in inositol 1,4,5-trisphosphate. Such a variation, however, is not required in models based on Ca(2+)-induced Ca2+ release. When Ca2+ diffusion is incorporated into these models, propagating waves of cytosolic Ca2+ arise, with profiles and rates comparable to those seen in the experiments.     

Effects of Ca2+ on flavin-linked complex enzymes in mitochondria isolated from eggs and embryos of sea urchin

Mitochondria isolated from sea urchin embryos in early development show almost the same activities of cytochrome c oxidase and flavin-linked complex enzymes, which are estimated by cytochrome c reductases as in those isolated from unfertilized eggs. The activities of these cytochrome c reductases are inhibited by Ca2+ at above 10-5 M more strongly than cytochrome c oxidase. To investigate the changes in intramitochondrial Ca2+ concentration at fertilization, the activity of pyruvate dehydrogenase, another mitochondrial enzyme, was measured. The activity of this enzyme was controlled by phosphorylation and Ca2+-dependent dephosphorylation of the catalytic unit. The enzyme activity increased for 30 min after fertilization, decreased and became close to zero within ~60 min. Then, the activity appreciably increased again after hatching. This seems to reflect changes in the intramitochondrial Ca2+ concentration. The enzyme activity was enhanced by pre-incubation with Ca2+ at concentrations up to 10-5 M but was made quite low at above 10-4 M Ca2+ and 10-3 M adenosine triphosphate. Although the changes in pyruvate dehydrogenase activity observed at fertilization will reflect the changes in the intramitochondrial calcium concentration, the intramitochondrial Ca2+ concentration of unfertilized eggs cannot be estimated from these results because high (> 10-4 M) or low (10-6 M) Ca2+ can inhibit the enzyme. Measurement of respiration of a single egg showed that injection of ethyleneglycol-bis(beta-aminoethyl ether)-N,N,N',N'-tetraacetic acid released the mitochondrial electron transport in the unfertilized egg. The possibility that changes in intramitochondrial calcium concentration occur at fertilization is discussed in relation to activation of both mitochondrial respiration and pyruvate dehydrogenase.     

Calcium waves in agarose gel with cell organelles: implications of the velocity curvature relationship

Calcium oscillations and waves have been observed not only in several types of living cells but also in less complex systems of isolated cell organelles. Here we report the determination of apparent Ca2+ diffusion coefficients in a novel excitable medium of agarose gel with homogeneously distributed vesicles of skeletal sarcoplasmic reticulum. Spatiotemporal calcium patterns were visualized by confocal laser scanning fluorescence microscopy. To obtain characteristic parameters of the velocity curvature relationship, namely, apparent diffusion coefficient, velocity of plane calcium waves, and critical radius, positively and negatively curved wave fronts were analyzed. It is demonstrated that gel-immobilized cell organelles reveal features of an excitable medium. Apparent Ca2+ diffusion coefficients of the in vitro system, both in the absence or in the presence of mitochondria, were found to be higher than in cardiac myocytes and lower than in unbuffered agarose gel. Plane calcium waves propagated markedly slower in the in vitro system than in rat cardiac myocytes. Whereas mitochondria significantly reduced the apparent Ca2+ diffusion coefficient of the in vitro system, propagation velocity and critical size of calcium waves were found to be nearly unchanged. These results suggest that calcium wave propagation depends on the kinetics of calcium release rather than on diffusion.     

Propagation of transient Ca2+ increase in sea urchin eggs upon fertilization and its regulation by microinjecting EGTA solution

Upon fertilization, the concentration of intracellular Ca2+ (Cai) in sea urchin eggs increased up to 3 microM when measured with fura-2, a fluorescent Ca indicator and the increase in Cai traversed from the sperm entry point as a wave over the entire egg at the mean propagation velocities of 5.0 microns/sec in C. japonicus egg and 5.3 microns/sec in H. pulcherrimus egg. However, the velocity was not uniform; i.e., it was rapid in the vicinity of the sperm entry point and the opposite point, but slow in the central region of the egg. Microinjecting a Ca-EGTA buffer and an IP3 solution into the C. japonicus egg induced the transient Cai increase more rapidly than that upon fertilization, due perhaps to the diffusion of the injectates. In order to investigate Ca2+ release during Cai increase upon fertilization, EGTA solutions were microinjected into unfertilized or fertilizing eggs. Microinjecting 100 mM EGTA (final concentration of 1 mM) not only suppressed the transient Cai increase, but also reduced the increased Cai rapidly, and never induced egg activation after insemination, whereas 10 mM EGTA (final concentration of 0.1 mM) did not significantly affect the Cai increase or the activation. Ca2+ released upon fertilization was estimated to be 150-170 microM in the egg cytoplasm from the amount of microinjected EGTA and fura-2. It was concluded that although more than 150 microM of Ca2+ was released intracellularly upon fertilization, Cai increased to only a few microM because most of the released Ca2+ was sequestered by intracellular Ca2+ binding substances.     

The initiation and propagation of the fertilization wave in sea urchin eggs

Calcium waves sweep across most eggs of the deuterostome lineage at fertilization. The precise timing of the initiation and propagation of a fertilization calcium wave has been best studied in sea urchin embryos, since the rapid depolarization caused by sperm egg fusion can be detected as a calcium influx using confocal imaging of calcium indicator dyes. The time between sperm egg fusion and the first sign of the calcium increase that constitutes the calcium wave is comparable to the time it takes for the wave to sweep across the egg, once initiated. The latency and rise time of the calcium response is sensitive to inhibitors of the InsP3 signalling pathway, as reported previously. Using calcium green dextran and confocal microscopy, we confirm that the propagation time of the calcium wave is lengthened and that initiation of the calcium wave involves activation of calcium release at hot spots that may represent clusters of calcium release channels, as has been seen in other cell types.     

Mathematical models for excitable systems in biology and medicine.

The excitable systems play a very important role in Biology and Medicine. Phenomena such as the transmission of impulses between neurons, the cardiac arrhythmia, the aggregation of amoebas, the appearance of organized structures in the cortex of egg cells, all derive from the activity of excitable media. In the first part of this work a general definition of excitable system is given; we then analyze some cases of excitability, distinguishing between electrical and chemical excitability and comparing experimental observations with simulations carried out by appropriate mathematical models. Such models are almost always formulated by partial differential equations of "reaction-diffusion" type and they have the characteristic to describe propagations of electrical waves (neurons, pacemaker cardiac cells, pancreatic b-cells) or chemical and mechanical waves (propagation of Ca++ waves or mechanical waves in the endoplasmic reticulum). The aim is to put in evidence that the biological systems can show not only excitability of electrical type, but also excitability of chemical nature, which can be observed in the first steps of development of egg cells or, for example, in the formation of pigments in vertebrate skin or in clam shells.     

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.     

Characterization of a Ca2+-stimulated lipid peroxidizing system in the sea urchin egg

Addition of calcium chloride to an egg homogenate of Strongylocentrotus purpuratus stimulates O2 consumption which is not inhibited by millimolar cyanide. Results strongly suggest that Ca2+-stimulated O2 consumption is at least partially the result of polyunsaturated fatty acid oxidation. First, addition of arachidonic acid (AA), or other polyunsaturated fatty acids, to the homogenate enhance Ca2+-stimulated O2 consumption; this enhancement, by AA, being coupled to its oxidation to a hydroxy fatty acid. Second, calcium stimulates a lipase activity in the homogenate that is capable of releasing free fatty acids. Third, Ca2+-stimulated O2 consumption and AA oxidation have virtually identical calcium requirements and pH optima. The sequence of events then is that upon calcium addition to the homogenate, lipase activity is increased which liberates free fatty acids. At the same time calcium also activates a polyunsaturated fatty acid oxygenase, possibly lipoxygenase, that converts the free fatty acids to hydroxy fatty acids. The possible physiological importance of this reaction is underscored by the high affinity for Ca2+ [approximately 10(-7)M], an ion known to increase above the required levels at fertilization. The pH activity profile also suggests possible physiological modulation because a pH change of 6.8 increasing to 7.2, as suggested to occur after fertilization, yields almost a twofold increase in O2 consumption. Egg homogenates from many other invertebrate species have the ability to oxidize AA in a Ca2+-dependent fashion. For the investigated species, the presence of Ca2+-stimulated O2 consumption and AA oxidation correlates with the presence of cyanide insensitive respiration in the intact egg.     

The wave of activation current in the Xenopus egg

A ring-shaped wave of inward current, the activation current, propagates across the Xenopus egg from the site of activation during the positive phase of the activation or fertilization potential. This activation current wave is due to an increased chloride conductance and reflects the propagated of the ionic channels responsible for the fertilization potential. These channels are present in the animal and vegetal hemispheres; however, the magnitude of the activation current is 6-7 times greater in the animal hemisphere. Outward current of a smaller magnitude and spread out over a larger area precedes and follows the inward current except at the point of activation where the current is first inward. The inward current wave is detected in all eggs activated by sperm and in eggs activated by pricking with a sharp needle, by application of the Ca2+ ionophore, A23187, and by intracellular iontophoresis of Ca2+ or inositol 1,4,5-trisphosphate. Reduction of the inward current by TMB-8, which blocks intracellular calcium release in some cells, suggests that the activation current channels are calcium sensitive and that the current wave is concomitant with a wave of increased intracellular calcium initiated by sperm-egg interaction. The wave of cortical granule exocytosis and two or more contraction waves follow the current wave.     

Local positive feedback by calcium in the propagation of intracellular calcium waves.

In many types of eukaryotic cells, the activation of surface receptors leads to the production of inositol 1,4,5-trisphosphate and calcium release from intracellular stores. Calcium release can occur in complex spatial patterns, including waves of release that traverse the cytoplasm. Fluorescence video microscopy was used to view calcium waves in single mouse neuroblastoma cells. The propagation of calcium waves was slowed by buffers that bind calcium quickly, such as BAPTA, but not by a buffer with slower on-rate, EGTA. This shows that a key feedback event in wave propagation is rapid diffusion of calcium occurring locally on a scale of < 1 micron. The length-speed product of wavefronts was used to determine that calcium acting in feedback diffuses at nearly the rate expected for free diffusion in aqueous solution. In cytoplasm, which contains immobile Ca2+ buffers, this rate of diffusion occurs only in the first 0.2 ms after release, within 0.4 micron of a Ca2+ release channel mouth. Calcium diffusion from an open channel to neighboring release sites is, therefore, a rate-determining regenerative step in calcium wave propagation. The theoretical limitations of the wave front analysis are discussed.     

Induction of calcium-dependent, localized cortical granule breakdown in sea-urchin eggs by voltage pulsation

A technique that employs a high-voltage pulses to produce pores in cell membranes (Kinosita and Tsong (1977) Proc. Natl. Acad. Sci. U.S.A. 74, 1923) has been used to investigate the role of Ca2+ in the early events of activation of sea-urchin eggs. Exposure of eggs to a voltage pulse of 1 kV/cm for 100 microseconds resulted in localized exocytosis of the contents of cortical granules and development of a partial fertilization envelope. This effect was triggered by entrance of Ca2+ through the voltage-induced pores. In a medium containing 100 microM Ca2+ and 45Ca2+ tracer, the voltage-treated eggs admitted 3.6 +/- 0.3 fmol Ca2+/egg within a few seconds. Untreated eggs took up only 1.0 +/- 0.2 fmol/egg after minutes of incubation. Furthermore, depletion of Ca2+ or the presence of EGTA in the external medium prevented elevation of the fertilization envelope by the voltage pulsation. Delay in Ca2+ addition after the voltage pulsation reduced the fraction of eggs that developed partial fertilization envelope. Loss of essential cytoplasmic components during the delay period is judged unlikely, since these eggs were viable, could form partial fertilization envelopes if re-pulsed in the presence of Ca2+, and could develop to normal blastula stage embryos upon fertilization with sperm. Thus, we interpret this effect as due to a resealing of pores; the half-life of pores being 20 s. The elevation of partial fertilization envelopes occurred only at the loci facing the anode, and multiple pulses with mixing resulted in the formation of multiple fertilization envelopes. These envelopes were stable for up to several hours; further propagation (wave spreading) was not observed. The above results indicate that a primary reaction in the sequence of steps in fertilization envelope formation involves Ca2+ to trigger cortical granule breakdown and formation of the fertilization envelope.     

Inositol 1,4,5-trisphosphate and its co-players in the concert of Ca2+ signalling--new faces in the line up

Release of Ca2+ from intracellular stores can occur by different intracellular messengers such as InsP3, cADPR and NAADP. Although in some cells messengers may operate on different stores, there are also Ca2+ stores with sensitivities for all three of these messengers. It is well documented, that InsP3- and cADPR-sensitive Ca2+ stores are involved in the activation of "store-operated Ca2+ channels" (SOCC). It has not yet been unequivocally shown, however, if Ca2+ release from stores, which respond to NAADP but not to InsP3 or cADPR, also generate signals which lead to "store-operated Ca2+ entry". Neither localization nor the mechanism of coupling to the plasma membrane of those InsP3- and cADPR-sensitive Ca2+ stores which activate SOCCs is yet clear. In this review localization and properties of InsP3-, cADPR- and NAADP-sensitive Ca2+ pools and their mutual interactions are discussed. Differential sensitivities of Ca2+ release mechanisms to InsP3, cADPR and NAADP have consequences on Ca2+ release, Ca2+ oscillations, propagation of Ca2+ waves and on activation of SOCC. Possible interaction of InsP3R and cADPR with candidates of SOCCs (TRP channels) and mechanisms involved in the regulation of SOCCs (activation-deactivation) will be elaborated.     

Regulatory and spatial aspects of inositol trisphosphate-mediated calcium signals

Hormones that act to release Ca2+ from intracellular stores initiate a signaling cascade that culminates in the production of inositol 1,4,5-trisphosphate (InsP3). The Ca2+ response mediated by InsP3 is not a sustained increase in the cytosolic Ca2+ concentration, but rather a series of periodic spikes that manifest as waves in larger cells. In vitro studies have determined that the key positive feedback parameter driving spikes and waves is a highly localized direct Ca(2+)-activation of InsP3-gated Ca2+ channels. Advances in fluorescent Ca2+ imaging have facilitated the resolution of individual positive feedback units. These studies have revealed that there are several modes of channel coupling underlying global Ca2+ signals; single channel openings or Ca2+ "blips," synchronized clusters of channels or Ca2+ "puffs," and cell wide calcium waves. It appears that the channel clusters that produce Ca2+ puffs are synchronized by the highly localized positive feedback that was predicted by the in vitro studies of channel regulation. Localization of InsP3-induced Ca2+ signals has been shown to be important for activation of several cellular processes including uni-directional salt flow and mitochondrial activation.     

Simulation of the fertilization Ca2+ wave in Xenopus laevis eggs.

In the preceding paper Fontanilla and Nuccitelli (Biophysical Journal 75:2079-2087 (1998)) present detailed measurements of the shape and speed of the fertilization Ca2+ wave in Xenopus laevis eggs. In order to help interpret their results, we develop here a computational technique based on the finite element method that allows us to carry out realistic simulations of the fertilization wave. Our simulations support the hypothesis that the physiological state of the mature egg is bistable, i.e., that its cytoplasm can accommodate two alternative physiological Ca2+ concentrations: a low concentration characteristic of the prefertilization state and a greatly elevated concentration characteristic of the state following the passage of the wave. We explore this hypothesis by assuming that the bistability is due to the release and re-uptake properties of the endoplasmic reticulum (ER) as determined by inositol trisphosphate (IP3) receptor/Ca2+ channels and sarcoendoplasmic reticulum calcium ATPase (SERCA) pumps. When combined with buffered diffusion of Ca2+ in the cytoplasm, our simulations show that inhomogeneities in the Ca2+ release properties near the plasma membrane are required to explain the temporal and spatial dependences of the shape and speed of these waves. Our results are consistent with an elevated IP3 concentration near the plasma membrane in the unfertilized egg that is augmented significantly near the site of fertilization. These gradients are essential in determining the concave shape of the Ca2+ fertilization wave front.     

A cytosolic sperm factor stimulates repetitive calcium increases and mimics fertilization in hamster eggs

Microinjection of cytosolic sperm extracts into unfertilized golden hamster eggs caused a series of increases in cytoplasmic free calcium, Ca2+i, and membrane hyperpolarizing responses, HRs. These HRs and Ca2+i transients are similar to those seen during in vitro fertilization of hamster eggs. The sperm factor that is responsible for causing these effects appears to be of high molecular weight and protein based. Injection of sperm factor activated eggs and mimicked fertilization in causing repetitive HRs in the presence of phorbol esters and in sensitizing the egg to calcium-induced calcium release. Since these effects cannot be mimicked by injecting G-protein agonists or calcium-containing solutions, it seems unlikely that a receptor-G-protein signalling system is involved at fertilization. These data instead suggest a novel signal transduction system operates during mammalian fertilization in which a protein factor is transferred from the sperm into the egg cytoplasm after gamete membrane fusion.     

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.