Roles of L-type Ca2+ and delayed-rectifier K+ currents in sinoatrial node pacemaking: insights from stability and bifurcation analyses of a mathematical model

To elucidate the dynamical mechanisms of the sinoatrial (SA) node pacemaker activity, we investigated the roles of L-type Ca2+ (ICa,L) and delayed-rectifier K+ (IKr) currents in pacemaking by stability and bifurcation analyses of our rabbit SA node model (Kurata Y, Hisatome I, Imanishi S, and Shibamoto T. Am J Physiol Heart Circ Physiol 283: H2074-H2101, 2002). Equilibrium points (EPs), periodic orbits, stability of EPs, and Hopf bifurcation points were calculated as functions of conductance or gating time constants of the currents for constructing bifurcation diagrams. Structural stability (robustness) of the system was also evaluated by computing stability and dynamics during applications of constant bias currents (Ibias). Blocking ICa,L or IKr caused stabilization of an EP and cessation of pacemaking via a Hopf bifurcation. The unstable zero-current potential region determined with Ibias applications, where spontaneous oscillations appear, shrunk and finally disappeared as ICa,L diminished, but shrunk little when IKr was eliminated. The reduced system, including no time-dependent current except ICa,L, exhibited pacemaker activity. These results suggest that ICa,L is responsible for EP instability and pacemaker generation, whereas IKr is not necessarily required for constructing a pacemaker cell system. We further explored the effects of various K+ currents with different kinetics on stability and dynamics of the model cell. The original IKr of delayed activation and inward rectification appeared to be most favorable for generating large-amplitude oscillations with stable frequency, suggesting that IKr acts as an oscillation amplifier and frequency stabilizer. IKr may also play an important role in preventing bifurcation to quiescence of the system.     

The topology of the C-terminal sections of the NCX1 Na+/Ca2+ exchanger and the NCKX2 Na+/Ca2+-K+ exchanger

Mammalian Na⁺/Ca²⁺ (NCX) and Na⁺/Ca²⁺-K⁺ exchangers (NCKX) are polytopic membrane proteins that play critical roles in calcium homeostasis in many cells. Although hydropathy plots for NCX and NCKX are very similar, reported topological models for NCX1 and NCKX2 differ in the orientation of the three C-terminal transmembrane segments (TMS). NCX1 is thought to have 9 TMS and a re-entrant loop, whereas NCKX2 is thought to have 10 TMS. The current topological model of NCKX2 is very similar to the 10 membrane spanning helices seen in the recently reported crystal structure of NCX_MJ, a distantly related archaebacterial Na⁺/Ca²⁺ exchanger. Here we reinvestigate the orientation of the three C-terminal TMS of NCX1 and NCKX2 using mass-tagging experiments of substituted cysteine residues. Our results suggest that NCX1, NCKX2 and NCX_MJ all share the same 10 TMS topology.     

Proton-sensing Ca2+ binding domains regulate the cardiac Na+/Ca2+ exchanger

The cardiac Na(+)/Ca(2+) exchanger (NCX) regulates cellular [Ca(2+)](i) and plays a central role in health and disease, but its molecular regulation is poorly understood. Here we report on how protons affect this electrogenic transporter by modulating two critically important NCX C(2) regulatory domains, Ca(2+) binding domain-1 (CBD1) and CBD2. The NCX transport rate in intact cardiac ventricular myocytes was measured as a membrane current, I(NCX), whereas [H(+)](i) was varied using an ammonium chloride "rebound" method at constant extracellular pH 7.4. At pH(i) = 7.2 and [Ca(2+)](i) < 120 nM, I(NCX) was less than 4% that of its maximally Ca(2+)-activated value. I(NCX) increases steeply at [Ca(2+)](i) between 130-150 nM with a Hill coefficient (n(H)) of 8.0 ± 0.7 and K(0.5) = 310 ± 5 nM. At pH(i) = 6.87, the threshold of Ca(2+)-dependent activation of I(NCX) was shifted to much higher [Ca(2+)](i) (600-700 nM), and the relationship was similarly steep (n(H) = 8.0±0.8) with K(0.5) = 1042 ± 15 nM. The V(max) of Ca(2+)-dependent activation of I(NCX) was not significantly altered by low pH(i). The Ca(2+) affinities for CBD1 (0.39 ± 0.06 μM) and CBD2 (K(d) = 18.4 ± 6 μM) were exquisitely sensitive to [H(+)], decreasing 1.3-2.3-fold as pH(i) decreased from 7.2 to 6.9. This work reveals for the first time that NCX can be switched off by physiologically relevant intracellular acidification and that this depends on the competitive binding of protons to its C(2) regulatory domains CBD1 and CBD2.     

Characterization and purification of a Na+/Ca2+ exchanger from an archaebacterium

The superfamily of cation/Ca(2+) exchangers includes both Na(+)/Ca(2+) exchangers (NCXs) and Na(+)/Ca(2+),K(+) exchangers (NCKX) as the families characterized in most detail. These Ca(2+) transporters have prominent physiological roles. For example, NCX and NCKX are important in regulation of cardiac contractility and visual processes, respectively. The superfamily also has a large number of members of the YrbG family expressed in prokaryotes. However, no members of this family have been functionally expressed, and their transport properties are unknown. We have expressed, purified, and characterized a member of the YrbG family, MaX1 from Methanosarcina acetivorans. MaX1 catalyzes Ca(2+) uptake into membrane vesicles. The Ca(2+) uptake requires intravesicular Na(+) and is stimulated by an inside positive membrane potential. Despite very limited sequence similarity, MaX1 is a Na(+)/Ca(2+) exchanger with kinetic properties similar to those of NCX. The availability of a prokaryotic Na(+)/Ca(2+) exchanger should facilitate structural and mechanistic investigations.     

Ca2+/H+ exchange,lumenal Ca2+ release and Ca2+/ATP coupling ratios in the sarcoplasmic reticulum ATPase

The Ca²⁺ transport ATPase (SERCA) of sarcoplasmic reticulum (SR) plays an important role in muscle cytosolic signaling, as it stores Ca²⁺ in intracellular membrane bound compartments, thereby lowering cytosolic Ca²⁺ to induce relaxation. The stored Ca²⁺ is in turn released upon membrane excitation to trigger muscle contraction. SERCA is activated by high affinity binding of cytosolic Ca²⁺, whereupon ATP is utilized by formation of a phosphoenzyme intermediate, which undergoes protein conformational transitions yielding reduced affinity and vectorial translocation of bound Ca²⁺. We review here biochemical and biophysical evidence demonstrating that release of bound Ca²⁺ into the lumen of SR requires Ca²⁺/H⁺ exchange at the low affinity Ca²⁺ sites. Rise of lumenal Ca²⁺ above its dissociation constant from low affinity sites, or reduction of the H⁺ concentration by high pH, prevent Ca²⁺/H⁺ exchange. Under these conditions Ca²⁺ release into the lumen of SR is bypassed, and hydrolytic cleavage of phosphoenzyme may yield uncoupled ATPase cycles. We clarify how such Ca²⁺pump slippage does not occur within the time length of muscle twitches, but under special conditions and in special cells may contribute to thermogenesis.     

Ca2+ regulation in the Na+/Ca2+ exchanger involves two markedly different Ca2+ sensors

The plasma membrane Na+/Ca2+ exchanger (NCX) is almost certainly the major Ca2+ extrusion mechanism in cardiac myocytes. Binding of Na+ and Ca2+ ions to its large cytosolic loop regulates ion transport of the exchanger. We determined the solution structures of two Ca2+ binding domains (CBD1 and CBD2) that, together with an alpha-catenin-like domain (CLD), form the regulatory exchanger loop. CBD1 and CBD2 are very similar in the Ca2+ bound state and describe the Calx-beta motif. Strikingly, in the absence of Ca2+, the upper half of CBD1 unfolds while CBD2 maintains its structural integrity. Together with a 7-fold higher affinity for Ca2+, this suggests that CBD1 is the primary Ca2+ sensor. Specific point mutations in either domain largely allow the interchange of their functionality and uncover the mechanism underlying Ca2+ sensing in NCX.     

Contribution of the Na+/Ca2+ exchanger to rapid Ca2+ release in cardiomyocytes

Trigger Ca(2+) is considered to be the Ca(2+) current through the L-type Ca(2+) channel (LTCC) that causes release of Ca(2+) from the sarcoplasmic reticulum. However, cell contraction also occurs in the absence of the LTCC current (I(Ca)). In this article, we investigate the contribution of the Na(+)/Ca(2+) exchanger (NCX) to the trigger Ca(2+). Experimental data from rat cardiomyocytes using confocal microscopy indicating that inhibition of reverse mode Na(+)/Ca(2+) exchange delays the Ca(2+) transient by 3-4 ms served as a basis for the mathematical model. A detailed computational model of the dyadic cleft (fuzzy space) is presented where the diffusion of both Na(+) and Ca(2+) is taken into account. Ionic channels are included at discrete locations, making it possible to study the effect of channel position and colocalization. The simulations indicate that if a Na(+) channel is present in the fuzzy space, the NCX is able to bring enough Ca(2+) into the cell to affect the timing of release. However, this critically depends on channel placement and local diffusion properties. With fuzzy space diffusion in the order of four orders of magnitude lower than in water, triggering through LTCC alone was up to 5 ms slower than with the presence of a Na(+) channel and NCX.     

Enhanced learning and memory in mice lacking Na+/Ca2+ exchanger 2

The plasma membrane Na(+)/Ca(2+) exchanger (NCX) plays a role in regulation of intracellular Ca(2+) concentration via the forward mode (Ca(2+) efflux) or the reverse mode (Ca(2+) influx). To define the physiological function of the exchanger in vivo, we generated mice deficient for NCX2, the major isoform in the brain. Mutant hippocampal neurons exhibited a significantly delayed clearance of elevated Ca(2+) following depolarization. The frequency threshold for LTP and LTD in the hippocampal CA1 region was shifted to a lowered frequency in the mutant mice, thereby favoring LTP. Behaviorally, the mutant mice exhibited enhanced performance in several hippocampus-dependent learning and memory tasks. These results demonstrate that NCX2 can be a temporal regulator of Ca(2+) homeostasis and as such is essential for the control of synaptic plasticity and cognition.     

Ca2+-ATPase from sarcoplasmic reticulum: acylphosphatase activity

Fractionation of sarcoplasmic reticulum vesicles from rabbit skeletal muscle was performed by solubilization of the vesicles in the presence of deoxycholate, followed by sucrose density gradient centrifugation and gel filtration chromatography. This procedure permitted the isolation of essentially pure Ca²⁺-ATPase; this enzyme showed ATPase as well as acylphosphatase activity, both activities being clearly enhanced by deoxycholate. The acylphosphatase activity of the purified Ca²⁺-ATPase was characterized with regard to some kinetic properties, such as pH, Mg²⁺, Ca²⁺, and deoxycholate dependence, and substrate affinity, determined in the presence of acetylphosphate, succinylphosphate, carbamylphosphate, and benzoylphosphate; in addition, the stability of both activities was checked in time-course experiments. The main similarities between the two activities, such as the Mg²⁺ requirement, the deoxycholate activation, and the pH dependence, together with the competitive inhibition of the benzoylphosphatase activity by ATP, the inhibition of both activities by tris(bathophenanthroline)-Fe²⁺, and the relief of this inhibitory effect by carbonylcyanide-4-trifluoromethoxyphenyl hydrazone support the hypothesis that acylphosphatase and ATPase activities of sarcoplasmic reticulum vesicles reside in the same active site of the enzyme. With regard to possible relationships between acylphosphatase activity of the purified Ca²⁺-ATPase and “soluble” acylphosphatase present in the 100,000g supernatant fraction, comparison of some kinetic and structural parameters indicate that these two activities are supported by quite different enzymes.     

Ca2+ dysregulation induces mitochondrial depolarization and apoptosis: role of Na+/Ca2+ exchanger and AKT

We previously reported that constitutively activated Galpha(q) (Q209L) expression in cardiomyocytes induces apoptosis through opening of the mitochondrial permeability transition pore. We assessed the hypothesis that disturbances in Ca(2+) handling linked Galpha(q) activity to apoptosis because resting Ca(2+) levels were significantly increased prior to development of apoptosis. Treating cells with EGTA lowered Ca(2+) and blocked both loss of mitochondrial membrane potential (an indicator of permeability transition pore opening) and apoptosis (assessed by DNA fragmentation). When cytosolic Ca(2+) and mitochondrial membrane potential were simultaneously measured by confocal microscopy, sarcoplasmic reticulum (SR)-driven slow Ca(2+) oscillations (time-to-peak approximately 4 s) were observed in Q209L-expressing cells. These oscillations were seen to transition into sustained increases in cytosolic Ca(2+), directly paralleled by loss of mitochondrial membrane potential. Ca(2+) transients generated by caffeine-induced release of SR Ca(2+) were greatly prolonged in Q209L-expressing cells, suggesting a decreased ability to extrude Ca(2+). Indeed, the Na(+)/Ca(2+) exchanger (NCX), which removes Ca(2+) from the cell, was markedly down-regulated at the mRNA and protein levels. Adenoviral NCX expression normalized cytosolic Ca(2+) levels and prevented DNA fragmentation in cells expressing Q209L. Interestingly, constitutively activated Akt, which rescues cells from Q209L-induced apoptosis, prevented the decrease in NCX expression, normalized cytosolic Ca(2+) levels and spontaneous Ca(2+) oscillations, shortened caffeine-induced Ca(2+) transients, and prevented loss of the mitochondrial membrane potential. Our findings demonstrate that NCX down-regulation and consequent increases in cytosolic and SR Ca(2+) can lead to Ca(2+) overloading-induced loss of mitochondrial membrane potential and suggest that recovery of Ca(2+) dysregulation is a target of Akt-mediated protection.     

Role of pacemaking current in cardiac nodes: insights from a comparative study of sinoatrial node and atrioventricular node

Cardiac pacemaking in the sinoatrial (SA) node and atrioventricular (AV) node is generated by an interplay of many ionic currents, one of which is the funny pacemaker current (I_f). To understand the functional role of I_f in two different pacemakers, comparative studies of spontaneous activity and expression of the HCN channel in mouse SA node and AV node were performed. The intrinsic cycle length (CL) is 179±2.7 ms (n=5) in SA node and 258±18.7 ms (n=5) in AV node. Blocking of I_f current by 1 μmol/L ZD7288 increased the CL to 258±18.7 ms (n=5) and 447±92.4 ms (n=5) in SA node and AV node, respectively. However, the major HCN channel, HCN4 expressed at low level in the AV node compared to the SA node. To clarify the discrepancy between the functional importance of I_f and expression level of HCN4 channel, a SA node cell model was used. Increasing the I_f conductance resulted in decreasing in the CL in the model, which explains the high pacemaking rate and high expression of HCN channel in the SA node. Resistance to the blocking of I_f in the SA node might result from compensating effects from other currents (especially voltage sensitive currents) involved in pacemaking. The computer simulation shows that the difference in the intrinsic CL could explain the difference in response to I_f blocking in these two cardiac nodes.     

Cleavage of the plasma membrane Na+/Ca2+ exchanger in excitotoxicity

In brain ischemia, gating of postsynaptic glutamate receptors and other membrane channels triggers intracellular Ca2+ overload and cell death. In excitotoxic settings, the initial Ca2+ influx through glutamate receptors is followed by a second uncontrolled Ca2+ increase that leads to neuronal demise. Here we report that the major plasma membrane Ca2+ extruding system, the Na+/Ca2+ exchanger (NCX), is cleaved during brain ischemia and in neurons undergoing excitotoxicity. Inhibition of Ca2+-activated proteases (calpains) by overexpressing their endogenous inhibitor protein, calpastatin or the expression of an NCX isoform not cleaved by calpains, prevented Ca2+ overload and rescued neurons from excitotoxic death. Conversely, down-regulation of NCX by siRNA compromised neuronal Ca2+ handling, transforming the Ca2+ transient elicited by non-excitotoxic glutamate concentrations into a lethal Ca2+overload. Thus, proteolytic inactivation of NCX-driven neuronal Ca2+ extrusion is responsible for the delayed excitotoxic Ca2+ deregulation and neuronal death.     

白细胞介素-2对大鼠心肌Ca2+ATPase和Na+ /K+ATPase的影响

为了探讨IL－2对心肌细胞内钙影响的可能机制,用光学法检测心肌肌浆网Ca^2 ATPase的活性,以及细胞膜Ca^2 ATPase和Na^ /K^ ATPase的活性。结果：（1）用IL－2（10、40、200、800U/ml）灌流心脏后,其肌浆网Ca^2 ATPase的活性随IL－2浓度的升高而增强;（2）在ATP浓度为0.1-4mmol/L时,Ca^2 ATPase的活性随ATP浓度的升庙则增强,由IL－2（200U／ml）灌流后的心脏获得肌浆网（SR）,其Ca^2 ATPase的活性对ATP的反应强于对照组;（3）在[Ca^2 ]为1－40μmol/L时,心脏SR Ca^2 ATPase的活性随[Ca^2 ]增加而增强,而IL－2灌流心脏后分离的SR,其Ca^2 ATPase活性在[Ca^2 ]升高时没有明显改变;（4）用nor-BNI(10nmol/L）预处理5min后,IL－2（200U／ml）灌流后不再使SR Ca^2 ATPase的活性增强;（5）用PTX（5mg/L）预处理后,IL－2对SR Ca^2 ATPase的影响减弱;（6）用磷脂酶C（PLC）抑制剂U73122（5μmol/L）处理后,IL－2不再使SR Ca^2 ATPase活性增高;（7）用IL－2直接处理从正常大鼠分离的SR后,对SR Ca^2 ATPase活性无明显影响;（8）IL－2灌流后,对心肌细胞膜Ca^2 ATPase和Na^ /K^ ATPase活性没有显著。上述结果表明,IL－2灌流心脏后使心肌肌浆网Ca^2 ATPase的活性增加,心肌细胞膜上的κ－阿片受体及其下游的G蛋白和PLC介导了IL－2的作用。尽管IL－2提高SR Ca^2 ATPase对ATP的反应性,但却抑制SR Ca^2 ATPase对钙离子的敏感性。IL－2对心肌细胞膜Ca^2 ATPase和Na^ /K^ ATPase的活性无明显影响。     

Plasmalemmal Na+/Ca2+ exchanger modulates Ca2+-dependent exocytotic release of glutamate from rat cortical astrocytes

Astroglial excitability operates through increases in Ca²⁺_cyt (cytosolic Ca²⁺), which can lead to glutamatergic gliotransmission. In parallel fluctuations in astrocytic Na⁺_cyt (cytosolic Na⁺) control metabolic neuronal-glial signalling, most notably through stimulation of lactate production, which on release from astrocytes can be taken up and utilized by nearby neurons, a process referred to as lactate shuttle. Both gliotransmission and lactate shuttle play a role in modulation of synaptic transmission and plasticity. Consequently, we studied the role of the PMCA (plasma membrane Ca²⁺-ATPase), NCX (plasma membrane Na⁺/Ca²⁺ exchanger) and NKA (Na⁺/K⁺-ATPase) in complex and coordinated regulation of Ca²⁺_cyt and Na⁺_cyt in astrocytes at rest and upon mechanical stimulation. Our data support the notion that NKA and PMCA are the major Na⁺ and Ca²⁺ extruders in resting astrocytes. Surprisingly, the blockade of NKA or PMCA appeared less important during times of Ca²⁺ and Na⁺ cytosolic loads caused by mechanical stimulation. Unexpectedly, NCX in reverse mode appeared as a major contributor to overall Ca²⁺ and Na⁺ homoeostasis in astrocytes both at rest and when these glial cells were mechanically stimulated. In addition, NCX facilitated mechanically induced Ca²⁺-dependent exocytotic release of glutamate from astrocytes. These findings help better understanding of astrocyte-neuron bidirectional signalling at the tripartite synapse and/or microvasculature. We propose that NCX operating in reverse mode could be involved in fast and spatially localized Ca²⁺-dependent gliotransmission, that would operate in parallel to a slower and more widely distributed gliotransmission pathway that requires metabotropically controlled Ca²⁺ release from the ER (endoplasmic reticulum).     

A quantitative model for linking Na+/Ca2+ exchanger to SERCA during refilling of the sarcoplasmic reticulum to sustain [Ca2+] oscillations in vascular smooth muscle

We have developed a quantitative model for the creation of cytoplasmic Ca²⁺ gradients near the inner surface of the plasma membrane (PM). In particular we simulated the refilling of the sarcoplasmic reticulum (SR) via PM–SR junctions during asynchronous [Ca²⁺]_i oscillations in smooth muscle cells of the rabbit inferior vena cava. We have combined confocal microscopy data on the [Ca²⁺]_i oscillations, force transduction data from cell contraction studies and electron microscopic images to build a basis for computational simulations that model the transport of calcium ions from Na⁺/Ca²⁺ exchangers (NCX) on the PM to sarcoplasmic/endoplasmic reticulum Ca²⁺ ATPase (SERCA) pumps on the SR as a three-dimensional random walk through the PM–SR junctional cytoplasmic spaces. Electron microscopic ultrastructural images of the smooth muscle cells were elaborated with software algorithms to produce a very clear and dimensionally accurate picture of the PM–SR junctions. From this study, we conclude that it is plausible and possible for enough Ca²⁺ to pass through the PM–SR junctions to replete the SR during the regenerative Ca²⁺ release, which underlies agonist induced asynchronous Ca²⁺ oscillations in vascular smooth muscle.     

Heavy metal-induced Ca2+ release from sarcoplasmic reticulum

Two distinct forms of Ca2+ release from isolated sarcoplasmic reticulum vesicles in response to additions of heavy metals (silver and mercurials) are described. One form of heavy metal-induced Ca2+ release involves the ruthenium red-sensitive Ca2+ release channel localized in terminal cisternae. The other form of heavy metal-induced Ca2+ release appears to involve all portions of the sarcoplasmic reticulum and is insensitive to ruthenium red. This latter form of Ca2+ release occurs over a similar range of heavy metal concentrations as inhibition of the sarcoplasmic reticulum Ca2+ pump but does not appear to be a result solely of such pump inhibition. Both forms of Ca2+ release are inhibited by glutathione, an endogenous constituent of muscle fibers, and by dithiothreitol, agents which prevent sulfhydryl oxidation. To assess the role of any sulfhydryl oxidation in sarcoplasmic reticulum Ca2+ release physiologically, dithiothreitol and glutathione were introduced inside muscle fibers and effects on excitation-contraction coupling examined. The results strongly suggest that sulfhydryl oxidation plays no essential role in skeletal muscle excitation-contraction coupling.     

Sulfhydryl oxidation and Ca2+ release from sarcoplasmic reticulum

Summary Our interest in the role of sulfhydryl groups (SH) in regulating or altering transport across biological membranes has focused on the significance of a critical SH group associated with the Ca²⁺-release protein from skeletal muscle sarcoplasmic reticulum (SR). We have shown that binding of heavy metals to this group or oxidation of this sulfhydryl to a disulfide induces rapid Ca²⁺ release from SR vesicles [1, 2] and induces contraction in skinned muscle fibers [3]. Several models are described in which oxidation and reduction might control the state of the Ca²⁺-release channel from SR.Abbreviations DTT Dithiothreitol, redox. - oxidation-reduction - SDS Sodium Dodecyl Sulfate - SH Sulfhydryl - SR Sarcoplasmic Reticulum - T-tubule Transverse tubule     

High-affinity Ca2+-binding site inhibiting Ca2+ release from sarcoplasmic reticulum

Ca2+ release from sarcoplasmic reticulum membranes, activated by alkaline pH occurs only when EGTA is present in the release medium. Addition of very low concentrations of Ca2+ to the medium inhibits Ca2+ release. The concentration of free Ca2+ required for 50% inhibition ranges from between 5 and 20 nM in different experiments and/or membrane preparations, irrespective of whether the free Ca2+ concentration is controlled by EGTA or CDTA. Other divalent cations such as Mn2+, Ba2+, Cu2+, Cd2+ and Mg2+ also exert an inhibitory effect on Ca2+ release, with higher or lower potency than that of Ca2+. The inactivation of Ca2+ release by Ca2+ is reversible. We suggest the involvement of high-affinity Ca2+-binding sites in the control of Ca2+ release.