Buffer effects on EcoRV kinetics as measured by fluorescent staining and digital imaging of plasmid cleavage

We have developed a protocol to quantify polymer DNA cleavage which replaces the traditional radiolabeling and scintillation counting with fluorescent staining and digital imaging. This procedure offers high sensitivity, speed, and convenience, while avoiding waste and error associated with traditional 32P radiolabeling. This protocol was used to measure cleavage of pBR322 plasmid DNA by EcoRV, a type II restriction enzyme. EcoRV was found to exhibit an order of magnitude difference in binding in two apparently similar buffers used in previous investigations. To determine the origin of this effect, we measured reaction kinetics in buffers of different chemical nature and concentration: Tris, bis-Tris propane, Tes, Hepes, and cacodylate. We found that buffer concentration and identity had significant effects on EcoRV reaction velocity through large changes in specific binding and nonspecific binding (reflected in the Michaelis constant Km and the dissociation constant for nonspecific binding Kns). There were only small changes in Vmax. The source of the buffer effect is the protonated amines common to many pH buffers. These buffer cations likely act as counterions screening DNA phosphates, where both the protonated buffer structure and concentration affect enzyme binding strength. It appears that by choosing anionic buffers or zwitterionic buffers with a buried positive charge, buffer influence on the protein binding to DNA can be largely eliminated.     

Proton decay kinetics for vesicles containing buffers—an analytical solution

The problem of predicting the kinetics of proton efflux and the decay of the internal proton concentration for vesicles containing one or more buffers for which the internal proton concentration is initially higher than that of the surrounding medium is examined. An analytical solution is derived that describes the time course of the proton efflux from vesicles and the decay of the internal proton concentration under conditions of zero transmembrane electric potential. The effect of the internal buffers is to increase the time required for the proton concentration gradient to equilibrate across the membrane. To simplify the analysis we assume that the equilibration of the internal and external proton activity is due primarily to proton diffusion through the membrane, and not to hydroxyl ion flux. For a vesicle containing a single buffer the solution requires six independent physical parameters: the initial internal proton concentration, the external proton concentration, the ratio of the vesicle surface area to the internal volume, the permeability coefficient of the membrane for protons, the total concentration of the internal buffer, and the equilibrium constant for the dissociation of the internal buffer. Determination of these physical values is sufficient to predict the time dependence of the internal proton concentration and of the proton efflux. Over a pH range that is below or near the pK of the internal buffer the solution is complex. However, if the initial pH is one unit or more higher than the pK of the internal buffer the kinetics of the internal proton concentration and proton efflux can be described by a pseudo first order reaction. In this case the apparent rate constant depends linearly on the permeability coefficient and is dominated by the total internal buffer concentration and its pK. For example, increasing the internal buffer concentration inside a vesicle by 10-fold results in an approximately 10-fold increase in the half-time of the proton efflux kinetics. The theoretical analysis is applied to thylakiod vesicles using experimentally determined values for the physical parameters. The predictions of the analysis are compared to experimentally observed kinetics.     

Buffering of calcium in the vicinity of a channel pore.

The function of calcium entry or release channels is often modulated by the cytosolic free calcium concentration. When such channels are studied in isolation, calcium buffer solutions are usually used to control the free calcium at the cytosolic face of the channel. Such solutions are generally formulated on the basis of equilibrium considerations. We calculate the gradient of [Ca2+] in the vicinity of a channel pore, in the presence of such buffers. We find that the effective degree of buffering near the pore is markedly affected by kinetic considerations. Commonly used EGTA solutions are completely ineffective in buffering [Ca2+] within macromolecular distances of the pore. In order to achieve useful buffering, the fastest buffers (e.g. BAPTA derivatives) must be used, in concentrations very much higher than those conventionally employed. Because of the diffusion limit on the maximum rate of binding of calcium to the buffer ligand, it is physically impossible to achieve good control of [Ca2+] at cytosolic levels at distances of less than a few nm from a pore conducting pico-ampere calcium current.     

Roles of calcium and pH in activation of eggs of the medaka fish, Oryzias latipes

Unfertilized eggs of the medaka fish (Oryzias latipes) were injected with pH-buffered calcium buffers. Medaka egg activation is accompanied by a transient increase in cytoplasmic free calcium (Gilkey, J. C., L. F. Jaffe, E. B. Ridgway, and G. T. Reynolds, 1978, J. Cell Biol., 76:448-466). The calcium buffer injections demonstrated that (a) the threshold free calcium required to elicit the calcium transient and activate the egg is between 1.7 and 5.1 microM at pH 7.0, well below the 30 microM reached during the transient, and (b) buffers which hold free calcium below threshold prevent activation of the buffered region in subsequently fertilized eggs. Therefore an increase in free calcium is necessary and sufficient to elicit the calcium transient, and the calcium transient is necessary to activate the egg. Further, these results are additional proof that the calcium transient is initiated and propagated through the cytoplasm by a mechanism of calcium- stimulated calcium release. Finally, a normal calcium transient must propagate through the entire cytoplasm to ensure normal development. Unfertilized eggs were injected with pH buffers to produce short-term, localized changes in cytoplasmic pH. The eggs were then fertilized at various times after injection. In other experiments, unfertilized and fertilized eggs were exposed to media containing either NH4Cl or CO2 to produce longer term, global changes in cytoplasmic pH. These treatments neither activated the eggs nor interfered with the normal development of fertilized eggs, suggesting that even if a natural change in cytoplasmic pH is induced by activation, it has no role in medaka egg development. The injected pH buffers altered the rate of propagation of the calcium transient through the cytoplasm, suggesting that the threshold free calcium required to trigger calcium-stimulated calcium release might be pH dependent. The results of injection of pH-buffered calcium buffers support this conjecture: for a tenfold increase in hydrogen ion concentration, free calcium must also be raised tenfold to elicit the calcium transient.     

Buffers and oscillations in intracellular Ca2+ dynamics

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

Measurement of the concentration of free cytoplasmic calcium in the process of platelet aggregation using a fluorescent method

A multiwavelength method for measuring free cytosolic calcium concentration is proposed. It is based on the registration of the fluorescent spectrum of calcium--sensitive probe indo-1 and deconvolution of the spectrum into components corresponding to free and bound forms of the probe. Calcium concentration is calculated as a product of calcium-probe dissociation constant by calcium-bound to free form concentration ratio. The obtained values are independent of variations in light-scattering properties of the medium and total dye concentration in the optical channel. It is shown that during ADP-induced platelet aggregation calcium concentration rises without measurable delay after the addition of the inducer and significantly decreases by the time the aggregation begins.     

Characteristics of the interaction of calcium with casein submicelles as determined by analytical affinity chromatography

Interaction of calcium with casein submicelles was investigated in CaCl2 and calcium phosphate buffers and with synthetic milk salt solutions using the technique of analytical affinity chromatography. Micelles that had been prepared by size exclusion chromatography with glycerolpropyl controlled-pore glass from fresh raw skim milk that had never been cooled, were dialyzed at room temperature against calcium-free imidazole buffer, pH 6.7. Resulting submicelles were covalently immobilized on succinamidopropyl controlled-pore glass (300-nm pore size). Using 45Ca to monitor the elution retardation, the affinity of free Ca2+ and calcium salt species was determined at temperatures of 20 to 40 degrees C and pH 6.0 to 7.5. Increasing the pH in this range or increasing the temperature strengthened the binding of calcium to submicelles, similar to previous observations with individual caseins. However, the enthalpy change obtained from the temperature dependence was considerably greater than that reported for alpha s1- and beta-caseins. Furthermore, the elution profiles for 45Ca in milk salt solutions were decidedly different from those in CaCl2 or calcium phosphate buffers and the affinities were also greater. For example, at pH 6.7 and 30 degrees C the average dissociation constant for the submicelle-calcium complex is 0.074 mM for CaCl2 and calcium phosphate buffers, vs 0.016 mM for the milk salt solution. The asymmetric frontal boundaries and higher average affinities observed with milk salts may be due to binding of calcium salts with greater affinity in addition to the binding of free Ca2+ in these solutions.     

Effects of intracellular injection of calcium buffers on light adaptation in Limulus ventral photoreceptors

The calcium sequestering agent, EGTA, was injected into Limulus ventral photoreceptors. Before injection, the inward membrane current induced by a long stimulus had a large initial transient which declined to a smaller plateau. Iontophoretic injection of EGTA tended to prevent the decline from transient to plateau. Before injection the plateau response was a nonlinear function of light intensity. After EGTA injection the response-intensity curves tended to become linear. Before injection, bright lights lowered the sensitivity as determined with subsequent test flashes. EGTA injection decreased the light-induced changes in sensitivity. Ca-EGTA buffers having different levels of free calcium were pressure-injected into ventral photoreceptors; the higher the level of free calcium, the lower the sensitivity measured after injection. The effects of inotophoretic injection of EGTA were not mimicked by injection or similar amounts of sulfate and the effects of pressure injection of EGTA buffer solutions were not mimicked by injection of similar volumes of pH buffer or mannitol. The data are consistent with the hypothesis that light adaptation is mediated by a rise of the intracellular free calcium concentration.     

Effects of sodium on cell surface and intracellular 3H-naloxone binding sites

The binding of the opiate antagonist 3H-naloxone was examined in rat whole brain homogenates and in crude subcellular fractions of these homogenates (nuclear, synaptosomal, and mitochondrial fractions) using buffers that approximated intra- (low sodium concentration) and extracellular (high sodium concentration) fluids. Saturation studies showed a two-fold decrease in the dissociation constant (Kd) in all subcellular fractions examined in extracellular buffer compared to intracellular buffer. In contrast, there was no significant effect of the buffers on the Bmax. Thus, 3H-naloxone did not distinguish between binding sites present on cell surface and intracellular tissues in these two buffers. These results show that the "sodium effect" of opiate antagonist binding is probably not a function of altered selection of intra- and extracellular binding sites.     

Bound and determined: a computer program for making buffers of defined ion concentrations.

A computer program that allows the preparation of buffers containing known concentrations of metal-ligand complexes at defined pH values and temperatures is described. Ligands are defined as compounds that bind metals and may include AMP, ADP, ATP, GMP, GDP, GTP, EGTA, EDTA, BAPTA, phosphate, sulfate, chloride, monocarboxylic acids, dicarboxylic acids, organophosphates, and/or citric acid. Metals may include sodium, potassium, magnesium, calcium, and/or manganese. The program uses association constants corrected for temperature and ionic strength so that solutions between 0 and 40 degrees C and between pH values of 4 and 10 can be defined. The program can perform the following: (i) calculate the concentration of all metal-ligand complexes when total metal and total ligand concentrations are known, (ii) calculate the concentration of metal ion required to make a solution of known free metal ion concentration when total ligand concentrations are known, (iii) calculate the concentration of ligand required to make a solution of known free metal ion concentration when total metal concentrations are known, and (iv) calculate the total concentrations of metal and ligand required to make a buffer of known metal-ligand concentration. Options i-iii are useful for making buffers of defined free metal ion concentrations; option iv is useful for making buffers of defined metal-nucleotide concentrations.     

Mechanism for Increase in Intracellular Concentration of Free Calcium in Fertilized Sea Urchin Egg : A Method for Estimating Intracellular Concentration of Free Calcium

Intracellular free calcium concentration in the sea urchin egg was calculated to increase from 0.1 mM in an unfertilized egg to 1 mM in a fertilized egg 10 min after fertilization, based on measurement of the dissociation constant between free calcium and sea urchin egg homogenate. The dissociation constant between free calcium (dialyzable calcium) and homogenate of sea urchin eggs was measured by means of dialysis equilibrium. The dissociation constant of the unfertilized egg was about 10^–4 M and that of the fertilized egg was about 10–3 M in three species of sea urchin, Hemicentrotus pulcherrimus, Anthocidaris crassispina, and Pseudocentrotus depressus. An increase in the dissociation constant of the unfertilized egg homogenate was observed after the addition of calcium ion at a concentration above 0.3 mM, the dissociation constant becoming the same as that observed in the fertilized egg homogenate after the administration of CaCl₂ at a concentration above 1 mM. Sodium ion also caused a decrease in the calcium-binding ability of the unfertilized egg homogenate. Therefore, penetration of calcium ion or sodium ion upon fertilization might induce an increase in the dissociation constant and then intracellular concentration of free calcium would increase at fertilization. Almost all calcium-binding ability of the egg homogenate was found in the microsomal fraction, and the substance which bound calcium was thought to be protein in nature, since trypsin could decrease the level of calcium-binding substance in the homogenate of the eggs.     

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.     

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.     

Time courses of calcium and calcium-bound buffers following calcium influx in a model cell.

Fixed and diffusible calcium (Ca) buffers shape the spatial and temporal distribution of free Ca following Ca entry through voltage-gated ion channels. This modeling study explores intracellular Ca levels achieved near the membrane and in deeper locations following typical Ca currents obtained with patch clamp experiments. Ca ion diffusion sets an upper limit on the maximal average Ca concentration achieved near the membrane. Fixed buffers restrict Ca elevation spatially to the outermost areas of the cell and slow Ca equilibration. Fixed buffer bound with Ca near the membrane can act as Ca source after termination of Ca influx. The relative contribution of fixed versus diffusible buffers to shaping the Ca transient is determined to a large extent by the binding rate of each buffer, with diffusible buffer dominating at equal binding rates. In the presence of fixed buffers, diffusible buffers speed Ca equilibration throughout the cell. The concentration profile of Ca-bound diffusible buffer differs from the concentration profile of free Ca, reflecting theoretical limits on the temporal resolution which can be achieved with commonly used diffusible Ca indicators. A Ca indicator which is fixed to an intracellular component might more accurately report local Ca concentrations.     

Cation chelators and their utilization in the preparation of low concentrations of calcium. Caution of use in biological systems with high affinity to calcium

Ethylene glycol bis (beta-aminoethyl ether)-N,N'-tetraacetic acid (EGTA)-calcium buffer is widely used in various calcium-dependent reactions where free calcium concentrations of 1 microM or less are desirable. The free calcium concentration is calculated from the association constant of EGTA . Ca2- and serves as the true available calcium in systems devoid of a constituent with high affinity to Ca2+ other than EGTA. But, it is conceivable that in systems with high affinity to Ca2+ (comparable to that of EGTA) this is not the case, because such systems will compete with EGTA for the total calcium content in the medium, so that the true available calcium for these systems is greater than that calculated from the EGTA buffer. This hypothesis was tested in three different Ca+-modulated systems: Quin 2 fluorescence, Ca2+-ATPase, and adenylate cyclase, in which the response of the system to calcium was compared between EGTA-free media, containing known amounts of added calcium, and the EGTA-Ca2+ buffer media. In all three systems, the amount of available calcium in the EGTA-Ca2+ buffer medium was much greater than the calculated free Ca2+ concentration. This indicates that in systems with high affinity to Ca2+, preparation of available Ca2+ in concentrations of 1 microM or less must account for both the EGTA and the system capacities for calcium.     

A kinetic analysis of the estrogen receptor transformation.

The rate of the 4 to 5 S estrogen-binding protein (EBP) in vitro transformation was measured by sucrose gradient centrifugation analysis. The temperature-activated 4 to 5 S EBP transformation is found to be highly reproducible without loss of [3H]estradiol-binding activity in a buffer containing an excess of [3H]estradiol, 40 mM Tris, 1 mM dithiothreitol, and 1 M urea at pH 7.4. The presence of [3H]estradiol is necessary for the 4 to 5 EBP transformation. A kinetic analysis of the 4 to 5 EBP transformation shows that it is a bimolecular reaction, the dimerization of the 4 S EBP with a second (similar or dissimilar) monomer or subunit. In buffers containing 0.4 M KCl the apparent second order rate constant is 2.3 plus or minus 0-2 times 10-7 M minus 1 min minus 1 at 28 degrees. The reaction is independent of the initial receptor concentration, suggesting that the 4 S EBP is dissociated into monomeric units in buffers of high ionic strength. In buffers without KCl or with 0.1 M KCl the apparent second order rate constant of receptor transformation increases with decreasing receptor concentration. This suggests that the 4 S EBP is associated weakly with another macromolecule (or macromolecules) in buffers of low ionic strength. The rate of 4 to 5 S EBP transformation shows a 200-fold increase between 0 and 35 degrees. The Arrhenius energy of activation is 21.3 kcal mol minus 1 in buffer without KCl and 19.1 kcal mol minus 1 in buffer with 0.4 M KCl. Following the temperature-activated dimerization, the avidity of binding between the 4 S EBP and its complementary subunit is increased, 0.4 M KCl can no longer cause dissociation, and the 5 S EBP dimer appears. This kinetic analysis indicates that the avidity of binding between the subunits of the estrogen receptor is modulated by estradiol, temperature, and ionic strength. We propose that these interactions of the estrogen receptor's subunits reflect conformational changes involved in receptor activation.     

Do calcium buffers always slow down the propagation of calcium waves?

Calcium buffers are large proteins that act as binding sites for free cytosolic calcium. Since a large fraction of cytosolic calcium is bound to calcium buffers, calcium waves are widely observed under the condition that free cytosolic calcium is heavily buffered. In addition, all physiological buffered excitable systems contain multiple buffers with different affinities. It is thus important to understand the properties of waves in excitable systems with the inclusion of buffers. There is an ongoing controversy about whether or not the addition of calcium buffers into the system always slows down the propagation of calcium waves. To solve this controversy, we incorporate the buffering effect into the generic excitable system, the FitzHugh–Nagumo model, to get the buffered FitzHugh–Nagumo model, and then to study the effect of the added buffer with large diffusivity on traveling waves of such a model in one spatial dimension. We can find a critical dissociation constant ( $K=K(a)$ ) characterized by system excitability parameter $a$ such that calcium buffers can be classified into two types: weak buffers ( $K\in (K(a),\infty )$ ) and strong buffers ( $K\in (0,K(a))$ ). We analytically show that the addition of weak buffers or strong buffers but with its total concentration $b_0^1$ below some critical total concentration $b_{0,c}^1$ into the system can generate a traveling wave of the resulting system which propagates faster than that of the origin system, provided that the diffusivity $D_1$ of the added buffers is sufficiently large. Further, the magnitude of the wave speed of traveling waves of the resulting system is proportional to $\sqrt{D_1}$ as $D_1\rightarrow \infty $ . In contrast, the addition of strong buffers with the total concentration $b_0^1>b_{0,c}^1$ into the system may not be able to support the formation of a biologically acceptable wave provided that the diffusivity $D_1$ of the added buffers is sufficiently large.     

Calcium gradient-dependent and calcium gradient-independent phosphorylation of sarcoplasmic reticulum by orthophosphate. The role of magnesium.

Phosphorylation of the calcium-transport ATPase of skeletal muscle sarcoplasmic reticulum by inorganic phosphate was investigated in the presence or absence of a calcium gradient. The maximum phosphoprotein formation in the presence of a calcium gradient at 20 degrees C and pH 7.0 is approximately 4 nmol/mg sarcoplasmic reticulum protein, but only between 2.4 and 2.8 nmol/mg protein in the absence of a calcium gradient, using Ionophore X-537 A or phospholipase-A-treated sarcoplasmic reticulum vesicles. Maximum phosphoprotein formation independent of calcium gradient at 20 degrees C and pH 6.2 is in the range of 3.6--4 nmol/mg protein. Half-maximum phosphoprotein formation dependent on calcium gradient was achieved with 0.1--0.2 mM free orthophosphate at 10 mM free magnesium or at 0.1--0.2 mM free magnesium at 10 mM free orthophosphate. Phosphoprotein formation independent of calcium gradient is in accordance with a model which assumes, firstly, the formation of a ternary complex of the ATPase protein with orthophosphate and magnesium (E . Pi . Mg) in equilibrium with the phosphoprotein (E-Pi . Mg) and, secondly, an interdependence of both ions in the formation of the ternary complex. The apparent equilibrium constant was 0.6 and the apparent dissociation constants KMg, KMg', KPi and KPi' were 8.8, 1.9, 7.2 and 1.5 mM respectively, assuming a total concentration of the phosphorylation site per enzyme of 7 nmol/mg protein.     

Modeling of quantal neurotransmitter release kinetics in the presence of fixed and mobile calcium buffers

The local calcium concentration in the active zone of secretion determines the number and kinetics of neurotransmitter quanta released after the arrival of a nerve action potential in chemical synapses. The small size of mammalian neuromuscular junctions does not allow direct measurement of the correlation between calcium influx, the state of endogenous calcium buffers determining the local concentration of calcium and the time course of quanta exocytosis. In this work, we used computer modeling of quanta release kinetics with various levels of calcium influx and in the presence of endogenous calcium buffers with varying mobilities. The results of this modeling revealed the desynchronization of quanta release under low calcium influx in the presence of an endogenous fixed calcium buffer, with a diffusion coefficient much smaller than that of free Ca²⁺, and synchronization occurred upon adding a mobile buffer. This corresponds to changes in secretion time course parameters found experimentally (Samigullin et al., Physiol Res 54:129–132, 2005; Bukharaeva et al., J Neurochem 100:939–949, 2007).     

Calcium regulation by and buffer capacity of molluscan neurons during calcium transients

The properties of Ca-regulation and -buffering of physiological levels of Ca-transients were examined in the soma of Archidoris monteryensis neurons. The rate of recovery from a Ca-transient was examined with two experimental protocols; in one the pulse duration was kept constant and its amplitude was varied, and in the other the duration was varied while the amplitude was kept constant. These experiments revealed that the recovery from a Ca-transient was approximately a first order process and the apparent first order rate constant was dependent on the duration of Ca-influx. The calcium buffer capacity of the cytoplasm was determined by an indirect method which utilised measured amounts of intracellular EGTA to reduce transient changes in free calcium. An equation for the cytoplasmic buffer capacity was derived on the assumption that the capacities of exogenous and endogenous Ca buffers summate linearly. The resting cytoplasmic Ca buffer capacity was 45.2 microM/delta pCa, when it was assumed that the incoming Ca diffuses a distance of 10 microns into the cytoplasm. For a diffusion distance of 5 microns it was 34.5 microM/delta pCa. In both cases, the buffer capacity increased with an increase in the size of Ca transient.