Exact Stochastic Simulation of a Calcium Microdomain Reveals the Impact of Ca2+ Fluctuations on IP3R Gating

In this study, we numerically analyzed the nonlinear Ca²⁺-dependent gating dynamics of a single, nonconducting inositol 1,4,5-trisphosphate receptor (IP₃R) channel, using an exact and fully stochastic simulation algorithm that includes channel gating, Ca²⁺ buffering, and Ca²⁺ diffusion. The IP₃R is a ubiquitous intracellular Ca²⁺ release channel that plays an important role in the formation of complex spatiotemporal Ca²⁺ signals such as waves and oscillations. Dynamic subfemtoliter Ca²⁺ microdomains reveal low copy numbers of Ca²⁺ ions, buffer molecules, and IP₃Rs, and stochastic fluctuations arising from molecular interactions and diffusion do not average out. In contrast to models treating calcium dynamics deterministically, the stochastic approach accounts for this molecular noise. We varied Ca²⁺ diffusion coefficients and buffer reaction rates to tune the autocorrelation properties of Ca²⁺ noise and found a distinct relation between the autocorrelation time τ_ac, the mean channel open and close times, and the resulting IP₃R open probability P_O. We observed an increased P_O for shorter noise autocorrelation times, caused by increasing channel open times and decreasing close times. In a pure diffusion model the effects become apparent at elevated calcium concentrations, e.g., at [Ca²⁺] = 25 μM, τ_ac = 0.082 ms, the IP₃R open probability increased by ≈20% and mean open times increased by ≈4 ms, compared to a zero noise model. We identified the inactivating Ca²⁺ binding site of IP₃R subunits as the primarily noise-susceptible element of the De Young and Keizer model. Short Ca²⁺ noise autocorrelation times decrease the probability of Ca²⁺ association and consequently increase IP₃R activity. These results suggest a functional role of local calcium noise properties on calcium-regulated target molecules such as the ubiquitous IP₃R. This finding may stimulate novel experimental approaches analyzing the role of calcium noise properties on microdomain behavior.     

Close agreement between deterministic versus stochastic modeling of first-passage time to vesicle fusion

Ca²⁺-dependent cell processes, such as neurotransmitter or endocrine vesicle fusion, are inherently stochastic due to large fluctuations in Ca²⁺ channel gating, Ca²⁺ diffusion, and Ca²⁺ binding to buffers and target sensors. However, previous studies revealed closer-than-expected agreement between deterministic and stochastic simulations of Ca²⁺ diffusion, buffering, and sensing if Ca²⁺ channel gating is not Ca²⁺ dependent. To understand this result more fully, we present a comparative study complementing previous work, focusing on Ca²⁺ dynamics downstream of Ca²⁺ channel gating. Specifically, we compare deterministic (mean-field/mass-action) and stochastic simulations of vesicle exocytosis latency, quantified by the probability density of the first-passage time (FPT) to the Ca²⁺-bound state of a vesicle fusion sensor, following a brief Ca²⁺ current pulse. We show that under physiological constraints, the discrepancy between FPT densities obtained using the two approaches remains small even if as few as ～50 Ca²⁺ ions enter per single channel-vesicle release unit. Using a reduced two-compartment model for ease of analysis, we illustrate how this close agreement arises from the smallness of correlations between fluctuations of the reactant molecule numbers, despite the large magnitude of fluctuation amplitudes. This holds if all relevant reactions are heteroreaction between molecules of different species, as is the case for bimolecular Ca²⁺ binding to buffers and downstream sensor targets. In this case, diffusion and buffering effectively decorrelate the state of the Ca²⁺ sensor from local Ca²⁺ fluctuations. Thus, fluctuations in the Ca²⁺ sensor’s state underlying the FPT distribution are only weakly affected by the fluctuations in the local Ca²⁺ concentration around its average, deterministically computable value.     

Imaging single-channel calcium microdomains

The Ca²⁺ microdomains generated around the mouth of open ion channels represent the basic building blocks from which cytosolic Ca²⁺ signals are constructed. Recent improvements in optical imaging techniques now allow these microdomains to be visualized as single channel calcium fluorescence transients (SCCaFTs), providing information about channel properties that was previously accessible only by electrophysiological patch-clamp recordings. We review recent advances in single channel Ca²⁺ imaging methodologies, with emphasis on total internal reflection fluorescence microscopy (TIRFM) as the technique of choice for recording SCCaFTs from voltage- and ligand-gated plasmalemmal ion channels. This technique of ‘optical patch-clamp recording’ is massively parallel, permitting simultaneous imaging of hundreds of channels; provides millisecond resolution of gating kinetics together with sub-micron spatial resolution of channel locations; and is applicable to diverse families of membrane channels that display partial permeability to Ca²⁺ ions.     

Constitutively active calcium channels in plasma membrane of T-lymphocytes

Compensated influx and efflux of calcium ions maintain the constancy of Ca²⁺ concentration in cytoplasm of quiescent cells under variable external conditions. In cell plasma membrane there exist several types of Ca²⁺ channels with different properties, regulation mechanisms, and pharmacology. Using fluorescent Ca²⁺-sensitive probes, we have shown here that in T-lymphocytes under resting conditions, Ca²⁺ influx occurs through special constitutively active Ca²⁺ channels, permeable to Ni²⁺ and Mn²⁺. These channels differ from the receptor-activated SOC channels, from Ca²⁺ channels activated by arachidonic acid, and from calmidazolium-activated channels. Ca²⁺ influx rate in quiescent cells increases with a rise in temperature (Q₁₀ =1.9). The strong dependence of the constitutively active channel activity on temperature coincided with the plasma membrane Ca²⁺-ATPase dependence, indicating that intracellular enzymes regulate the channel activity. To identify the constitutively active channel, we analyzed the effects of L-type Ca²⁺ channels, SOC channels, Ca²⁺-independent phospholipase A2, and calmodulin inhibitors. Of all inhibitors listed only dihydropyridine blocker of L-type voltage-dependent Ca²⁺ channels, isradipin, at a concentration of 1.5 μM completely suppressed calcium influx. However, the channels did not exhibit sensitivity to changes in membrane potential. Our observations testify to the existence of a new nonselective Ca²⁺ channel in T-lymphocyte plasma membrane and characterize the new channels pharmacologically. The results obtained are important for understanding the regulation mechanisms of Ca²⁺ channels in plasma membrane of non-excitable cells.     

The Influence of Ca Buffers on Free [Ca] Fluctuations and the Effective Volume of Ca Microdomains

Intracellular calcium (Ca²⁺) plays a significant role in many cell signaling pathways, some of which are localized to spatially restricted microdomains. Ca²⁺ binding proteins (Ca²⁺ buffers) play an important role in regulating Ca²⁺ concentration ([Ca²⁺]). Buffers typically slow [Ca²⁺] temporal dynamics and increase the effective volume of Ca²⁺ domains. Because fluctuations in [Ca²⁺] decrease in proportion to the square-root of a domain’s physical volume, one might conjecture that buffers decrease [Ca²⁺] fluctuations and, consequently, mitigate the significance of small domain volume concerning Ca²⁺ signaling. We test this hypothesis through mathematical and computational analysis of idealized buffer-containing domains and their stochastic dynamics during free Ca²⁺ influx with passive exchange of both Ca²⁺ and buffer with bulk concentrations. We derive Langevin equations for the fluctuating dynamics of Ca²⁺ and buffer and use these stochastic differential equations to determine the magnitude of [Ca²⁺] fluctuations for different buffer parameters (e.g., dissociation constant and concentration). In marked contrast to expectations based on a naive application of the principle of effective volume as employed in deterministic models of Ca²⁺ signaling, we find that mobile and rapid buffers typically increase the magnitude of domain [Ca²⁺] fluctuations during periods of Ca²⁺ influx, whereas stationary (immobile) Ca²⁺ buffers do not. Also contrary to expectations, we find that in the absence of Ca²⁺ influx, buffers influence the temporal characteristics, but not the magnitude, of [Ca²⁺] fluctuations. We derive an analytical formula describing the influence of rapid Ca²⁺ buffers on [Ca²⁺] fluctuations and, importantly, identify the stochastic analog of (deterministic) effective domain volume. Our results demonstrate that Ca²⁺ buffers alter the dynamics of [Ca²⁺] fluctuations in a nonintuitive manner. The finding that Ca²⁺ buffers do not suppress intrinsic domain [Ca²⁺] fluctuations raises the intriguing question of whether or not [Ca²⁺] fluctuations are a physiologically significant aspect of local Ca²⁺ signaling.     

Neuronal calcium signaling via store-operated channels in health and disease

Store-operated calcium entry (SOCE) is the flow of calcium ions (Ca²⁺) into cells in response to the depletion of intracellular Ca²⁺ stores that reside predominantly in the endoplasmic reticulum (ER). The role of SOCE has been relatively well understood for non-excitable cells. It is mediated mostly by the ER Ca²⁺ sensor STIM1 and plasma membrane Ca²⁺ channel Orai1 and serves to sustain Ca²⁺ signaling and refill ER Ca²⁺ stores. In contrast, because of the complexity of Ca²⁺ influx mechanisms that are present in excitable cells, our knowledge about the function of neuronal SOCE (nSOCE) is still nascent. This review summarizes the available data on the molecular components of nSOCE and their relevance to neuronal signaling. We also present evidence of disturbances of nSOCE in neurodegenerative diseases (namely Alzheimer’s disease, Huntington’s disease, and Parkinson’s disease) and traumatic brain injury. The emerging important role of nSOCE in neuronal physiology and pathology makes it a possible clinical target.     

Chemico-genetic identification of drebrin as a regulator of calcium responses

Store-operated calcium channels are plasma membrane Ca²⁺ channels that are activated by depletion of intracellular Ca²⁺ stores, resulting in an increase in intracellular Ca²⁺ concentration, which is maintained for prolonged periods in some cell types. Increases in intracellular Ca²⁺ concentration serve as signals that activate a number of cellular processes, however, little is known about the regulation of these channels. We have characterized the immuno-suppressant compound BTP, which blocks store-operated channel mediated calcium influx into cells. Using an affinity purification scheme to identify potential targets of BTP, we identified the actin reorganizing protein, drebrin, and demonstrated that loss of drebrin protein expression prevents store-operated channel mediated Ca²⁺ entry, similar to BTP treatment. BTP also blocks actin rearrangements induced by drebrin. While actin cytoskeletal reorganization has been implicated in store-operated calcium channel regulation, little is known about actin-binding proteins that are involved in this process, or how actin regulates channel function. The identification of drebrin as a mediator of this process should provide new insight into the interaction between actin rearrangement and store-operated channel mediated calcium influx.     

Calcium Domains around Single and Clustered IP3 Receptors and Their Modulation by Buffers

We study Ca²⁺ release through single and clustered IP₃ receptor channels on the ER membrane under presence of buffer proteins. Our computational scheme couples reaction-diffusion equations and a Markovian channel model and allows our investigating the effects of buffer proteins on local calcium concentrations and channel gating. We find transient and stationary elevations of calcium concentrations around active channels and show how they determine release amplitude. Transient calcium domains occur after closing of isolated channels and constitute an important part of the channel's feedback. They cause repeated openings (bursts) and mediate increased release due to Ca²⁺ buffering by immobile proteins. Stationary domains occur during prolonged activity of clustered channels, where the spatial proximity of IP₃Rs produces a distinct [Ca²⁺] scale (0.5-10 μM), which is smaller than channel pore concentrations (>100 μM) but larger than transient levels. While immobile buffer affects transient levels only, mobile buffers in general reduce both transient and stationary domains, giving rise to Ca²⁺ evacuation and biphasic modulation of release amplitude. Our findings explain recent experiments in oocytes and provide a general framework for the understanding of calcium signals.     

Nonuniformity of calcium efflux from pancreatic acinar cells and its analysis by mathematical model of calcium diffusion and buffering in extracellular solution

We studied spatial and temporal patterns of Ca²⁺ extrusion from pancreatic acinar cells evoked by acetylcholine(ACh)-induced activation of plasma membrane calcium pumps. Using a modification of an earlier developed model, we estimated the time course of extracellular calcium concentration changes near the basal pole of a cell in the case, when calcium ions are released from the same site on the cell surface, and in the case when they are extruded from the apical pole and diffuse to the basal one. It is concluded that at the first stage of ACh-induced Ca²⁺ extrusion the appearance of Ca²⁺ elevation near the basal pole of the cells cannot be explained as a result of diffusion, but is mainly determined by Ca²⁺ efflux from this pole. The results also show that there are plasma membrane calcium pumps in both apical and basal parts of pancreatic acinar cells, but the activity of the pumps is substantially higher in the apical region.     

Competitive Calcium Binding: Implications for Dendritic Calcium Signaling

Action potentials evoke calcium transients in dendrites of neocortical pyramidal neurons with time constants of <100 ms at physiological temperature. This time period may not be sufficient for inflowing calcium ions to equilibrate with all present Ca²⁺-binding molecules. We therefore explored nonequilibrium dynamics of Ca²⁺ binding to numerous Ca²⁺ reaction partners within a dendritelike compartment using numerical simulations. After a brief Ca²⁺ influx, the reaction partner with the fastest Ca²⁺ binding kinetics initially binds more Ca²⁺ than predicted from chemical equilibrium, while companion reaction partners bind less. This difference is consolidated and may result in bypassing of slow reaction partners if a Ca²⁺ clearance mechanism is active. On the other hand, slower reaction partners effectively bind Ca²⁺ during repetitive calcium current pulses or during slower Ca²⁺ influx. Nonequilibrium Ca²⁺ distribution can further be enhanced through strategic placement of the reaction partners within the compartment. Using the Ca²⁺ buffer EGTA as a competitor of fluo-3, we demonstrate competitive Ca²⁺ binding within dendrites experimentally. Nonequilibrium calcium dynamics is proposed as a potential mechanism for differential and conditional activation of intradendritic targets.     

Ryanodine receptor allosteric coupling and the dynamics of calcium sparks

Puffs and sparks are localized intracellular Ca²⁺ elevations that arise from the cooperative activity of Ca²⁺-regulated inositol 1,4,5-trisphosphate receptors and ryanodine receptors clustered at Ca²⁺ release sites on the surface of the endoplasmic reticulum or the sarcoplasmic reticulum. While the synchronous gating of Ca²⁺-regulated Ca²⁺ channels can be mediated entirely though the buffered diffusion of intracellular Ca²⁺, interprotein allosteric interactions also contribute to the dynamics of ryanodine receptor (RyR) gating and Ca²⁺ sparks. In this article, Markov chain models of Ca²⁺ release sites are used to investigate how the statistics of Ca²⁺ spark generation and termination are related to the coupling of RyRs via local [Ca²⁺] changes and allosteric interactions. Allosteric interactions are included in a manner that promotes the synchronous gating of channels by stabilizing neighboring closed-closed and/or open-open channel pairs. When the strength of Ca²⁺-mediated channel coupling is systematically varied (e.g., by changing the Ca²⁺ buffer concentration), simulations that include synchronizing allosteric interactions often exhibit more robust Ca²⁺ sparks; however, for some Ca²⁺ coupling strengths the sparks are less robust. We find no evidence that the distribution of spark durations can be used to distinguish between allosteric interactions that stabilize closed channel pairs, open channel pairs, or both in a balanced fashion. On the other hand, the changes in spark duration, interspark interval, and frequency observed when allosteric interactions that stabilize closed channel pairs are gradually removed from simulations are qualitatively different than the changes observed when open or both closed and open channel pairs are stabilized. Thus, our simulations clarify how changes in spark statistics due to pharmacological washout of the accessory proteins mediating allosteric coupling may indicate the type of synchronizing allosteric interactions exhibited by physically coupled RyRs. We also investigate the validity of a mean-field reduction applicable to the dynamics of a ryanodine receptor cluster coupled via local [Ca²⁺] and allosteric interactions. In addition to facilitating parameter studies of the effect of allosteric coupling on spark statistics, the derivation of the mean-field model establishes the correct functional form for cooperativity factors representing the coupled gating of RyRs. This mean-field formulation is well suited for use in computationally efficient whole cell simulations of excitation-contraction coupling.     

A calcium conducting channel akin to a calcium pump

Summary Calcium conducting channels were studied in blebs of sarcoplasmic reticulum described by Stein & Palade (1988). The calcium channels had at least three conductance states (70 pS, 50 pS and 37 pS) and were weakly selective for calcium ions, with a permeability ratio Ca²⁺ to K⁺ of about 3.4. The open probability of the channel was strongly voltage dependent, decreasing at positive membrane voltages. 10 m ryanodine and 5 m ruthenium red had no effect on this channel; neither did millimolar concentrations of ATP, Mg²⁺, caffeine, and Ca²⁺, implying that the calcium conducting channels are not ryanodine receptors. Several calcium pump inhibitors—namely, vanadate, AlF ₄ ^– , reactive red 120, and cyclopiazonic acid—had obvious effects on the calcium conducting channels, suggesting that the calcium conducting channel of SR membrane blebs is some form of the SR calcium pump.We thank the National Science Foundation for steadfast support.We thank Drs. F. Cohen, A. Fox, R. Levis and E. Rios for much useful help and criticism and Dr. G. Inesi for sending us his paper while in press.     

Effect of Mg<Superscript>2+</Superscript> versus Ca<Superscript>2+</Superscript> on the behavior of Annexin A5 in a membrane-bound state

Annexin A5 (AnxA5) binds to negatively charged phospholipid membranes in a Ca²⁺ dependent manner. Several studies already demonstrate that Mg²⁺ ions cannot induce the binding. In this paper, quartz crystal microbalance with dissipation monitoring (QCM-D), Brewster angle microscopy (BAM), polarization modulation infrared reflection absorption spectroscopy (PMIRRAS) and molecular dynamics (MD) were performed to elucidate the high specificity of Ca²⁺ versus Mg²⁺ on AnxA5 binding to membrane models. In the presence of Ca²⁺, AnxA5 showed a strong interaction with lipids, the protein is adsorbed mainly in α-helix under the DMPS monolayer, with an orientation of the α-helices axes slightly tilted with respect to the normal of the phospholipid monolayer as revealed by PMIRRAS. The Ca²⁺ ions interact strongly with the phosphate group of the phospholipid monolayer. In the presence of Mg²⁺, instead of Ca²⁺, no interaction of AnxA5 with lipids was detected. Molecular dynamics simulations allow us to explain the high specificity of calcium. Ca²⁺ ions are well exposed and surrounded by labile water molecules at the surface of the protein, which then favour their binding to the phosphate group of the membrane, explaining their specificity. To the contrary, Mg²⁺ ions are embedded in the protein structure, with a smaller number of water molecules strongly bound. We conclude that the embedded Mg²⁺ ions inside the AnxA5 structure are not able to link the protein to the phosphate group of the phospholipids for this reason.     

Voltage control of Ca2+ permeation through N-type calcium (CaV2.2) channels

Voltage-gated calcium (Ca_V) channels deliver Ca²⁺ to trigger cellular functions ranging from cardiac muscle contraction to neurotransmitter release. The mechanism by which these channels select for Ca²⁺ over other cations is thought to involve multiple Ca²⁺-binding sites within the pore. Although the Ca²⁺ affinity and cation preference of these sites have been extensively investigated, the effect of voltage on these sites has not received the same attention. We used a neuronal preparation enriched for N-type calcium (Ca_V2.2) channels to investigate the effect of voltage on Ca²⁺ flux. We found that the EC₅₀ for Ca²⁺ permeation increases from 13 mM at 0 mV to 240 mM at 60 mV, indicating that, during permeation, Ca²⁺ ions sense the electric field. These data were nicely reproduced using a three-binding-site step model. Using roscovitine to slow Ca_V2.2 channel deactivation, we extended these measurements to voltages <0 mV. Permeation was minimally affected at these hyperpolarized voltages, as was predicted by the model. As an independent test of voltage effects on permeation, we examined the Ca²⁺-Ba²⁺ anomalous mole fraction (MF) effect, which was both concentration and voltage dependent. However, the Ca²⁺-Ba²⁺ anomalous MF data could not be reproduced unless we added a fourth site to our model. Thus, Ca²⁺ permeation through Ca_V2.2 channels may require at least four Ca²⁺-binding sites. Finally, our results suggest that the high affinity of Ca²⁺ for the channel helps to enhance Ca²⁺ influx at depolarized voltages relative to other ions (e.g., Ba²⁺ or Na⁺), whereas the absence of voltage effects at negative potentials prevents Ca²⁺ from becoming a channel blocker. Both effects are needed to maximize Ca²⁺ influx over the voltages spanned by action potentials.     

Intracellular calcium release channels mediate their own countercurrent: the ryanodine receptor case study

Intracellular calcium release channels like ryanodine receptors (RyRs) and inositol trisphosphate receptors (IP₃Rs) mediate large Ca²⁺ release events from Ca²⁺ storage organelles lasting >5 ms. To have such long-lasting Ca²⁺ efflux, a countercurrent of other ions is necessary to prevent the membrane potential from becoming the Ca²⁺ Nernst potential in <1 ms. A recent model of ion permeation through a single, open RyR channel is used here to show that the vast majority of this countercurrent is conducted by the RyR itself. Consequently, changes in membrane potential are minimized locally and instantly, assuring maintenance of a Ca²⁺-driving force. This RyR autocountercurrent is possible because of the poor Ca²⁺ selectivity and high conductance for both monovalent and divalent cations of these channels. The model shows that, under physiological conditions, the autocountercurrent clamps the membrane potential near 0 mV within ∼150 μs. Consistent with experiments, the model shows how RyR unit Ca²⁺ current is defined by luminal [Ca²⁺], permeable ion composition and concentration, and pore selectivity and conductance. This very likely is true of the highly homologous pore of the IP₃R channel.     

Effect of calcium ions on human calcitonin. Possible implications for bone resorption by osteoclasts

Calcium ions (Ca²⁺) are indispensable for life and are involved in important physiological actions, which makes maintaining a constant level of blood Ca²⁺ essential. Ca²⁺ is mainly stored in bones which serve as a reservoir and its homeostasis is modulated by various hormones. Human calcitonin (hCt) is a small peptide hormone that exerts its physiological effect on Ca²⁺ metabolism by means of osteoclast-mediated bone resorption inhibition. Most of these actions are mediated through peptide/receptor interaction that acts via a second messenger. However, in vitro studies have shown that hCt can interact with membrane lipids to form ion channels in membrane models. This ability is due to the peptide’s secondary structure and aggregation state, that can be modulated by different molecules. In our study, we evaluated the effect of Ca²⁺, at different concentrations, both on the hCt ion channel incorporated into a planar lipid membrane made up of phosphatidylcholine containing 15 % phosphatidylglycerol and on the secondary structure of hCt in an aqueous environment. Ca²⁺ is able to interact with the hCt peptide by acting on the channel incorporated into the membrane as well as on the peptide in solution, both by increasing hCt channel frequency and in solution promoting α-helix formation, that counteracts the fibrillating process. These experimental observations, suggesting that hCt senses Ca²⁺ concentration variations, strengthen the hypothesis that channel formation represents an extra source of Ca²⁺ entry into osteoclasts in addition to the well-known interaction of the monomer with the specific receptor.     

The Influence of Ca2+ Buffers on Free [Ca2+] Fluctuations and the Effective Volume of Ca2+ Microdomains

Intracellular calcium (Ca²⁺) plays a significant role in many cell signaling pathways, some of which are localized to spatially restricted microdomains. Ca²⁺ binding proteins (Ca²⁺ buffers) play an important role in regulating Ca²⁺ concentration ([Ca²⁺]). Buffers typically slow [Ca²⁺] temporal dynamics and increase the effective volume of Ca²⁺ domains. Because fluctuations in [Ca²⁺] decrease in proportion to the square-root of a domain’s physical volume, one might conjecture that buffers decrease [Ca²⁺] fluctuations and, consequently, mitigate the significance of small domain volume concerning Ca²⁺ signaling. We test this hypothesis through mathematical and computational analysis of idealized buffer-containing domains and their stochastic dynamics during free Ca²⁺ influx with passive exchange of both Ca²⁺ and buffer with bulk concentrations. We derive Langevin equations for the fluctuating dynamics of Ca²⁺ and buffer and use these stochastic differential equations to determine the magnitude of [Ca²⁺] fluctuations for different buffer parameters (e.g., dissociation constant and concentration). In marked contrast to expectations based on a naive application of the principle of effective volume as employed in deterministic models of Ca²⁺ signaling, we find that mobile and rapid buffers typically increase the magnitude of domain [Ca²⁺] fluctuations during periods of Ca²⁺ influx, whereas stationary (immobile) Ca²⁺ buffers do not. Also contrary to expectations, we find that in the absence of Ca²⁺ influx, buffers influence the temporal characteristics, but not the magnitude, of [Ca²⁺] fluctuations. We derive an analytical formula describing the influence of rapid Ca²⁺ buffers on [Ca²⁺] fluctuations and, importantly, identify the stochastic analog of (deterministic) effective domain volume. Our results demonstrate that Ca²⁺ buffers alter the dynamics of [Ca²⁺] fluctuations in a nonintuitive manner. The finding that Ca²⁺ buffers do not suppress intrinsic domain [Ca²⁺] fluctuations raises the intriguing question of whether or not [Ca²⁺] fluctuations are a physiologically significant aspect of local Ca²⁺ signaling.     

Simulation of the effect of an external GHz electric field on the potential energy profile of Ca2+ ions in the selectivity filter of the CaVAb channel

Ca_V channels are transmembrane proteins that mediate and regulate ion fluxes across cell membranes, and they are activated in response to action potentials to allow Ca²⁺ influx. Since ion channels are composed of charge or polar groups, an external alternating electric field may affect the ion‐selective membrane transport and the performance of the channel. In this article, we have investigated the effect of an external GHz electric field on the dynamics of calcium ions in the selectivity filter of the Ca_VAb channel. Molecular dynamics (MD) simulations and the potential of mean force (PMF) calculations were carried out, via the umbrella sampling method, to determine the free energy profile of Ca²⁺ ions in the Ca_VAb channels in presence and absence of an external field. Exposing Ca_VAb channel to 1, 2, 3, 4, and 5 GHz electric fields increases the depth of the potential energy well and this may result in an increase in the affinity and strength of Ca²⁺ ions to binding sites in the selectivity filter the channel. This increase of strength of Ca²⁺ ions binding in the selectivity filter may interrupt the mechanism of Ca²⁺ ion conduction, and leads to a reduction of Ca²⁺ ion permeation through the Ca_VAb channel.     

Involvement of calcium in the in vitro sensitivity change of the plasma membrane H+ ATPase to indole-3-acetic acid

The proton pumping activity of phase-partitioning purified plasma membrane fraction from spinach leaves was tested in vitro in the presence of exogenous indole-3-acetic acid. The sensitivity of the H+ pumping activity to the auxin was changed after flowering induction. We investigated the effect of whole spinach leaf treatments with substances affecting the phosphatidylinositol diphosphate transduction pathway on the in vitro sensitivity modification by photoperiodic induction. A role of calcium ions was supported by studies on leaves treated with a specific Ca²⁺ chelator (EGTA), a synthetic Ca²⁺ ionophore (A23187) or with calcium channel blokers (verapamil, lanthan chloride). An experiment using the transduction pathway inhibitor, lithium chloride, indicated that the intracellular concentration of Ca²⁺ was increased by inositol triphosphate.