Transient kinetic studies of substrate inhibition in the horse liver alcohol dehydrogenase reaction

The rate-limiting step of ethanol oxidation by alcohol dehydrogenase (E) at substrate inhibitory conditions (greater than 500 mM ethanol) is shown to be the dissociation rate of NADH from the abortive E-ethanol-NADH complex. The dissociation rate constant of NADH decreased hyperbolically from 5.2 to 1.4 s-1 in the presence of ethanol causing a decrease in the Kd of NADH binding from 0.3 microM for the binary complex to 0.1 microM for the abortive complex. Correspondingly, ethanol binding to E-NADH (Kd = 37 mM) was tighter than to enzyme (Kd = 109 mM). The binding rate of NAD+ (7 X 10(5) M-1s-1) to enzyme was not affected by the presence of ethanol, further substantiating that substrate inhibition is totally due to a decrease in the dissociation rate constant of NADH from the abortive complex. Substrate inhibition was also observed with the coenzyme analog, APAD+, but a single transient was not found to be rate limiting. Nevertheless, the presence of substrate inhibition with APAD+ is ascribed to a decrease in the dissociation rate of APADH from 120 to 22 s-1 for the abortive complex. Studies to discern the additional limiting transient(s) in turnover with APAD+ and NAD+ were unsuccessful but showed that any isomerization of the enzyme-reduced coenzyme-aldehyde complex is not rate limiting. Chloride increases the rate of ethanol oxidation by hyperbolically increasing the dissociation rate constant of NADH from enzyme and the abortive complex to 12 and 2.8 s-1, respectively. The chloride effect is attributed to the binding of chloride to these complexes, destabilizing the binding of NADH while not affecting the binding of ethanol.     

Kinetics of the inhibition of thrombin by hirudin

The dissociation constant for hirudin was determined by varying the concentration of hirudin in the presence of a fixed concentration of thrombin and tripeptidyl p-nitroanilide substrate. The estimate of the dissociation constant determined in this manner displayed a dependence on the concentration of substrate which suggested the existence of two binding sites at which the substrate was able to compete with hirudin. A high-affinity site could be correlated with the binding of the substrate at the active site, and the other site had an affinity for the substrate that was 2 orders of magnitude lower. Extrapolation to zero substrate concentration yielded a value of 20 fM for the dissociation constant of hirudin at an ionic strength of 0.125. The dissociation constant for hirudin was markedly dependent on the ionic strength of the assay; it increased 20-fold when the ionic strength was increased from 0.1 to 0.4. This increase in dissociation constant was accompanied by a decrease in the rate with which hirudin associated with thrombin. This rate could be measured with a conventional recording spectrophotometer at higher ionic strength and was found to be independent of the binding of substrate at the active site.     

Analysis of trp repressor-operator interaction by filter binding.

A filter binding assay was developed that allows measurement of specific binding of trp repressor to operator DNA. The most important feature of this procedure is the concentration and type of salt present in the binding buffer. Using this assay the dissociation constant of the repressor-operator complex was determined to be 2.6 X 10(-9) M, and 1.34 repressor dimers were found to be bound to each operator-containing DNA molecule. These values agree with those obtained by more complex methods. The dissociation constant of the repressor for the corepressor L-tryptophan in the presence of operator DNA was shown to be 2.5 X 10(-5) M. A synthetic 48 bp operator fragment was used to determine the repressor-operator dissociation constant in the presence of tryptophan or tryptophan analogs which have higher or lower affinities for aporepressor. The rate of dissociation of repressor from operator DNA also was determined. Our findings indicate that dissociation is influenced by the concentration of tryptophan or tryptophan analogs and suggest that release of the corepressor may be the first step in dissociation of the repressor-operator complex.     

Secretion and degradation of lipoprotein lipase in cultured adipocytes. Binding of lipoprotein lipase to membrane heparan sulfate proteoglycans is necessary for degradation

Equilibrium-binding data of highly purified 125I-labeled avian lipoprotein lipase to cultured avian adipocytes demonstrate the presence of a class of high affinity binding sites. Analysis of the binding function yielded an association constant of 0.62 x 10(8)M-1 and a maximum binding capacity of 2.1 micrograms/60-mm dish. From a time course of dissociation of 125I-lipoprotein lipase from adipocytes at 4 degrees C, a dissociation rate constant of 6.1 x 10(-5)s-1 was obtained. Pretreatment of cells with heparinase and heparitinase resulted in a quantitative suppression of the high affinity binding component, establishing that lipoprotein lipase is bound to cell surface heparan sulfate proteoglycans. At 37 degrees C, cell surface-bound 125I-lipoprotein lipase is internalized and either degraded or recycled to the medium. The degradation rate constant for 125I-lipoprotein lipase was estimated to be 0.78 h-1. The degradation rate constant was reduced 6-fold when cells were exposed to 100 microM chloroquine, indicating that most of the degradation occurs within the lysosomal compartment. By using cells that had been pulsed with Trans35S-label for 1 h, it was demonstrated that acute treatment with endoglycosidases for up to 1 h resulted in a new lipoprotein lipase secretion rate which was 6-fold higher than that of control cells. Degradation of newly synthesized lipoprotein lipase was essentially blocked 30 min after the initiation of the chase. In other studies it was observed that there were no additive effects of chloroquine and either endoglycosidase or heparin treatment on total lipoprotein lipase levels (intracellular, cell surface, and medium) in adipocyte cultures. These experiments support the hypothesis that the release of lipoprotein lipase from its receptor prevents its internalization and degradation and enhances enzyme efflux from the adipocyte. A new model of lipoprotein lipase secretion in cultured adipocytes is proposed: Newly synthesized lipoprotein lipase is transported to the cell surface where it binds to specific heparan sulfate proteoglycan receptors. The enzyme is either released to the medium or internalized via the receptor, in which case the enzyme is degraded or recycled to the cell surface. Major determinants of enzyme efflux from the cell surface include the number and integrity of receptors, the association constant of the enzyme-receptor complex, and the presence in the medium of competing molecules with high affinity for lipoprotein lipase. In this model, modulation of lipoprotein lipase degradation rate may be a significant mechanism for acute regulation of enzyme efflux independent of changes in the rate of enzyme synthesis.     

Substrate specificity of the carbon monoxide-dependent cytochrome P-450 kinetics

The substrate-dependent kinetics of the carbon monoxide-inhibited cytochrome P-450 activity and its light reversibility is reinvestigated in microsomal preparations. In order to find out whether the substrate specificity is mediated by an isoenzyme-specific binding of carbon monoxide with different dissociation constants an experimental design has been chosen where it could be established that essentially the same isoenzyme component was involved in two different monooxygenase reactions, i.e., the O-dealkylation of 7-ethoxycoumarin and the 7-hydroxylation of coumarin. The dissociation constant kD(CO) of the ferrous cytochrome P-450 carbon monoxide complex is 6-fold higher in the presence of 7-ethoxycoumarin than in the presence of coumarin. But the light-induced relative changes of the Warburg partition coefficient for the 7-ethoxycoumarin deethylation and for coumarin 7-hydroxylation do not differ remarkably from each other. These relative changes are shown to represent the ratio of the photoinduced rate constant to the spontaneous rate constant of the dissociation for the ferrous cytochrome P-450 carbon monoxide complex. The differences in the dissociation constants are assigned to substrate specific effects on the carbon monoxide binding, indicating a substrate-specific change of the free binding enthalpy for carbon monoxide.     

NADH binding to porcine mitochondrial malate dehydrogenase.

The binding of NADH to porcine mitochondrial malate dehydrogenase in phosphate buffer at pH 7.5 has been studied by equilibrium and kinetic methods. Hyperbolic binding was obtained by fluorimetric titration of enzyme with NADH, in the presence or absence of hydroxymalonate. Identical results were obtained for titrations of NADH with enzyme in the presence or absence of hydroxymalonate, measured either by fluorescence emission intensity or by the product of intensity and anisotropy. The equilibrium constant for NADH dissociation was 3.8 +/- 0.2 micrometers, over a 23-fold range of enzyme concentration, and the value in the presence of saturating hydroxymalonate was 0.33 +/- 0.02 micrometer over a 10-fold range of enzyme concentration. The rate constant for NADH binding to the enzyme in the presence of hydroxymalonate was 3.6 X 10(7) M-1 s-1, while the value for dissociation from the ternary complex was 30 +/- 1 s-1. No limiting binding rate was obtained at pseudo-first order rate constants as high as 200 s-1, and the rate curve for dissociation was a single exponential for at least 98% of the amplitude. In addition to demonstrating that the binding sites are independent and indistinguishable, the absence of effects of enzyme concentration on the KD value indicates that NADH binds with equal affinity to monomeric and dimeric enzyme forms.     

Simultaneous bindings of ATP and vanadate to (Na+ + K+)-ATPase. Implications for the reaction mechanism of the enzyme

Inhibition of (Na+ + K+)-dependent adenosine triphosphatase phosphatase by vanadate is thought to occur through the tight binding of vanadate to the same site from which Pi is released. To see if ATP binds to [48V] vanadate-enzyme complex, just as it does to the phosphoenzyme, the effects of Na+, K+, and ATP on the dissociation rate of the complex at 10 degrees C were studied. The rate constant was increased by Na+, and this increase was blocked by K+, indicating that either Na+ or K+ binds to the complex. ATP alone, or in combination with K+, had no effect on the rate constant. In the presence of Na+, however, ATP caused a further increase in the rate constant. The value of K0.5 of Na+ was the same in the presence or absence of ATP; K0.5 of ATP (0.2 mM) did not seem to change significantly when Na+ concentration was varied, and K0.5 of K+, at a constant Na+ concentration, was the same in the presence or absence of ATP. The data indicate that ATP binds to the enzyme-vanadate complex regardless of the presence or absence of Na+ or K+, but it affects the dissociation rate only when Na+ is bound simultaneously. The value of K0.5 of Na+ decreased as pH was increased in the range of 6.5-7.8, but K0.5 of ATP was independent of pH. Demonstration of ATP binding to the enzyme-vanadate complex provides further support for the suggestion that the oligomeric enzyme contains a low-affinity regulatory site for ATP that is distinct from the interacting high-affinity catalytic sites.     

Rate constants and equilibrium constants for binding of the gelsolin-actin complex to the barbed ends of actin filaments in the presence and absence of calcium

The equilibrium constant for binding of the gelsolin-actin complex to the barbed ends of actin filaments was measured by the depolymerizing effect of the gelsolin-actin complex on actin filaments. When the gelsolin-actin complex blocks monomer consumption at the lengthening barbed ends of treadmilling actin filaments, monomers continue to be produced at the shortening pointed ends until a new steady state is reached in which monomer production at the pointed ends is balanced by monomer consumption at the uncapped barbed ends. By using this effect the equilibrium constant for binding was determined to be about 1.5 X 10(10) M-1 in excess EGTA over total calcium (experimental conditions: 1 mM MgCl2, 100 mM KCl, pH 7.5, 37 degrees C). In the presence of Ca2+ the equilibrium constant was found to be in the range of or above 10(11) M-1. The rate constant of binding of the gelsolin-actin complex to the barbed ends was measured by inhibition of elongation of actin filaments. Nucleation of new filaments by the gelsolin-actin complex towards the pointed ends was prevented by keeping the monomer concentration below the critical monomer concentration of the pointed ends where the barbed ends of treadmilling actin filaments elongate and the pointed ends shorten. The gelsolin-actin complex was found to bind fourfold faster to the barbed ends in the presence of Ca2+ (10 X 10(6) M-1 s-1) than in excess EGTA (2.5 X 10(6) M-1 s-1). Dissociation of the gelsolin-actin complex from the barbed ends can be calculated to be rather slow. In excess EGTA the rate constant of dissociation is about 1.7 X 10(-4) s-1. In the presence of Ca2+ this dissociation rate constant is in the range of or below 10(-4) s-1.     

Calcium enhances heparin catalysis of the antithrombin-factor Xa reaction by promoting the assembly of an intermediate heparin-antithrombin-factor Xa bridging complex. Demonstration by rapid kinetics studies

Heparin catalyzes the inhibition of factor Xa by antithrombin mainly through an allosteric activation of the serpin inhibitor, but an alternative heparin bridging mechanism has been suggested to enhance the catalysis in the presence of physiologic calcium levels due to calcium interactions with the Gla domain exposing a heparin binding exosite in factor Xa. To provide direct evidence for this bridging mechanism, we studied the heparin-catalyzed reaction of antithrombin with factor Xa, Gla-domainless factor Xa (GDFXa), and a heparin binding exosite mutant of GDFXa in the absence and presence of calcium using rapid kinetic methods. The pseudo-first-order rate constant for factor Xa inhibition by antithrombin complexed with a long-chain approximately 70-saccharide heparin showed a saturable dependence on inhibitor concentration in the presence but not in the absence of 2.5 mM Ca(2+), indicating the formation of an intermediate heparin-serpin-proteinase encounter complex with a dissociation constant of approximately 90 nM prior to formation of the stable serpin-proteinase complex with a rate constant of approximately 20 s(-1). Similar saturation kinetics were observed for the inhibition of GDFXa by the antithrombin-heparin complex, except that Ca(2+) was not required for the effect. By contrast, no Ca(2+)-dependent saturation of the inhibition rate constant was detectable over the same range of inhibitor concentrations for reactions of either a short-chain approximately 26-saccharide high-affinity heparin-antithrombin complex with factor Xa or the long-chain heparin-antithrombin complex with the heparin binding exosite mutant, GDFXa R240A. These findings suggest that binding of full-length heparin chains to an exosite of factor Xa in the presence of Ca(2+) produces a chain-length-dependent lowering of the dissociation constant for assembly of the intermediate heparin-antithrombin-factor Xa encounter complex, resulting in a several 100-fold rate enhancement by a heparin bridging mechanism.     

Rapid filtration analysis of nucleotide binding to Na,K-ATPase

Transient kinetic analysis of nucleotide binding to pig kidney Na,K-ATPase using a rapid filtration technique shows that the interaction between nucleotide and enzyme apparently follows simple first-order kinetics both for ATP in the absence of Mg(2+) and for ADP in the presence or absence of Mg(2+). Rapid filtration experiments with Na,K-ATPase membrane sheets may nevertheless suffer from a problem of accessibility for a fraction of the ATPase binding sites. Accordingly, we estimate from these data that for ATP binding in the absence of Mg(2+) and the presence of 35 mM Na(+) at pH 7.0 at 20 degrees C, the bimolecular binding rate constant k(on) is about 30 microM(-1) x s(-1) and the dissociation rate constant k(off) is about 8 s(-1). In the presence of 10 mM Mg(2+), the binding rate constant is the same as that in the absence of Mg(2+). For ADP or MgADP the binding rate constant is about 20 microM(-1) x s(-1) and the dissociation rate constant is about 12 s(-1). Results of rapid-mixing stopped-flow experiments with the fluorescent dye eosin are also consistent with a one-step mechanism of binding of eosin to the ATPase nucleotide site. The implication of these results is that nucleotide binding to Na,K-ATPase both in the absence and presence of Mg(2+) appears to be a single-step event, at least on the time scale accessible in these experiments.     

Slow interaction of 5'-adenylyl-beta,gamma-imidodiphosphate with Escherichia coli DNA gyrase. Evidence for cooperativity in nucleotide binding.

We have examined the kinetics of interaction between Escherichia coli DNA gyrase and the nonhydrolyzable ATP analog 5'-adenylyl-beta,gamma-imidodiphosphate (ADPNP) in the presence and absence of ATP. In the absence of ATP, [alpha-32P]ADPNP binds extremely slowly to gyrase, with an apparent second-order rate constant (k1) of 120 M-1 min-1. Similarly, the limited negative supercoiling of closed-circular DNA caused by ADPNP binding is slow, requiring at least 2 h to reach completion in the presence of 100 microM ADPNP. A very slow but detectable rate of dissociation of ADPNP from gyrase was measured, with a rate constant of 3.5 x 10(-4) min-1. The calculated dissociation constant for ADPNP is thus 2.9 microM. ADPNP is a potent competitive inhibitor of ATP-dependent DNA supercoiling. Inhibition is established much more rapidly than can be accounted for by the slow rate of ADPNP binding in the absence of ATP. We have found that ATP can accelerate the rate of [32P]ADPNP binding by more than 15-fold (k1 = 1,850 M-1 min-1). The ATP-promoted rate enhancement requires the presence of DNA; in the absence of DNA, ATP has no effect on the rate of binding. Relaxed closed-circular, nicked-circular, and linear pBR322 DNA are all equally effective cofactors for ATP-stimulated binding of ADPNP. After a short lag, the presence of ATP also greatly speeds up ADPNP dissociation from gyrase bound initially to closed-circular DNA, with the restoration of DNA supercoiling activity. This effect is not observed in the presence of nicked-circular or linear DNA, suggesting that ADPNP dissociates more rapidly from gyrase bound to supercoiled DNA. The results of ADPNP binding provide evidence for cooperative interactions between the nucleotide binding sites. To account for these data, a model is proposed for the interaction of nucleotides at the two ATP binding sites on DNA gyrase.     

A kinetic study of the interaction of vanadate with the Ca2+ + Mg2+-dependent ATPase from sarcoplasmic reticulum.

Ca2+ + Mg2+-dependent ATPase from sarcoplasmic reticulum was inhibited by preincubation with vanadate. When the inhibited enzyme was preincubated in the presence of vanadate and assayed in its absence, a slow reactivation process was observed. This slow, hysteretic, process was exploited to study the influence of Ca2+ and ATP on the dissociation of vanadate. Ca2+ alone slowly displaced vanadate from the inhibited enzyme, and a rate constant of 0.1 min-1, at 25 degrees C, was calculated for this re-activation process. However, ATP re-activated with an apparent constant that hyperbolically depended on ATP concentration, and from it a rate constant for vanadate dissociation induced by ATP of 0.5 min-1 was calculated. It is deduced from the kinetic studies that ATP binds to the enzyme-vanadate complex, forming a ternary complex, with a dissociation constant of 4 microM, and that this binding accelerates vanadate dissociation. Binding experiments with [14C]ATP showed that ATP binds to the enzyme-vanadate complex with a dissociation constant of 12 microM, i.e. the affinities calculated with the isotope technique and the kinetic procedure are of the same order of magnitude.     

Electrostatic dependence of the thrombin-thrombomodulin interaction

The rate constants for the binding interaction between thrombin and a fully active fragment of its anticoagulant cofactor, thrombomodulin, have been determined by surface plasmon resonance. At physiological ionic strength, the k(a) was 6.7x10(6) M(-1) s(-1 )and the dissociation rate constant was 0.033 s(-1). These extremely fast association and dissociation rates resulted in an overall binding equilibrium constant of 4.9 nM, which is similar to previously reported values. Changing the ionic strength from 100 mM to 250 mM NaCl caused a tenfold decrease in the association rate while the dissociation rate did not change significantly. A similar effect was observed with tetramethylammonium chloride. A Debye-Hückel plot of the data had a slope of -6 and an intercept at 0 ionic strength of 10(9) M(-1) s(-1). The same slope and intercept were obtained for data that was collected in the presence of glycerol to slow the association rates. These results show that the thrombin-TM456 interaction is extremely rapid and nearly completely electrostatically steered. An association model is presented in which TM456 approaches thrombin along the direction of the thrombin molecular dipole.     

Kinetic studies of calcium binding to regulatory complexes from skeletal muscle

The kinetic mechanism of the binding and release of calcium by troponin and by the complexes troponin: tropomyosin, troponin:tropomyosin:actin, and troponin (TN)-tropomyosin (TM)-actin:myosin subfraction 1 (SF-1) was investigated using troponin labeled on the TN-I subunit with the fluorophore 4-(N-iodoac etoxyethyl-N-methyl)-7-nitrobenz-2-oxa-1,3-diazole. The apparent association constant is five to 10 times smaller for TN:TM:actin compared to TN:TM or TN and saturation of actin sites with SF-1 increased the binding constant approximately to the value for TN:TM. Kinetic measurements on TN or TN:TM fitted a single rate process for association or dissociation which is consistent with a model in which the calcium sites are equivalent and independent and each calcium induces a change in structure of the complex. TN:TM:actin gave biphasic transients for association and dissociation of calcium. The two binding sites are no longer equivalent and independent. The TN:TM:actin:SF-1 complex gave kinetic behavior essentially equivalent to TN:TM. The kinetics of calcium dissociation from the various complexes was also measured by the fluorescent calcium indicator quin 2, which gave the same values for the rate constants as for the labeled protein. The evidence is interpreted in terms of a model in which regulated actin can exist in two states and the binding of each calcium and SF-1 displaces the equilibrium between states. Formation of the complex of TN:TM with actin yielded an enhancement of the fluorescence of the labeled TN-I moiety of approximately 30%. The rate of constant for association of the complex decreased 6-fold in the presence of calcium while the rate constant for dissociation of the protein complex was essentially unchanged. Saturation of actin sites with SF-1 had no effect on the rate constant for association with TN:TM in the presence of calcium.     

Metal binding to angiotensin converting enzyme: implications for the metal binding site

Angiotensin converting enzyme interacts with the chelator, 1,10-phenanthroline (OP) to form an OP-Zn-ACE ternary complex, which subsequently dissociates to OP-Zn and apoenzyme. The association and dissociation rate constants for the reaction OP + Zn-ACE in equilibrium OP-Zn-ACE have been determined and compared with those of known OP-metal complexes. Such constants were also used to calculate the rate constant for formation of the OP-Zn complex from OP-Zn-ACE. The rate of dissociation of zinc from ACE has been measured in the presence of EDTA (which acts only as a metal scavenger) as a function of chelator concentration, at different pH values, and with different buffers. The stability constant for the binding of zinc to apoACE log Kc = 8.2, determined by equilibrium dialysis using atomic absorption spectroscopy to assess metal concentration, is much smaller than that for Zn-carboxypeptidase A. Zn-thermolysin, or Zn-carbonic anhydrase. This weak binding is attributable to the zinc dissociation rate constant of ACE, 7.5 X 10(-3) sec-1 at pH 7.0, which is much greater than that of the other zinc metalloenzymes. These results lead to inferences regarding the metal binding site of ACE.     

The liver angiotensin receptor involved in the activation of glycogen phosphorylase

Specific angiotensin binding to rat hepatocytes and purified liver plasma membranes was measured by using biologically active [(3)H]angiotensin (sp. radioactivity 14Ci/mmol). The kinetic parameters for angiotensin binding to hepatocytes are: K(+1) (association rate constant). 100mum(-1).min(-1); K(-1) (dissociation rate constant), 2min(-1); K(d) (dissociation constant). 30nm; maximal binding capacity, 0.42pmol/10(6) cells or 260000 sites/cell. Angiotensin binding to membranes is profoundly affected by GTP (0.1mm) and NaCl (100mm); these regulatory compounds greatly enhance both the rate of association and of dissociation and also the extent of dissociation. K(d) amounts to 10nm in the presence of GTP+NaCl and to 1.5nm in their absence; maximal binding capacity is 0.70pmol/mg of protein, both with or without GTP+NaCl. The relative affinities of 11 angiotensin structural analogues were deduced from competition experiments for [(3)H]angiotensin binding to hepatocytes and to membranes (in the latter case, GTP + NaCl were not included, in order to study the higher affinity state of the receptor). These are highly correlated with their biological activity (activation of glycogen phosphorylase in hepatocytes). Binding to membranes occurs in the same concentration range as the biological effect. On the other hand, the existence of numerous spare receptors is suggested by the observation that binding of the agonists to hepatocytes requires 25-fold higher concentrations than those needed for their biological activity. These data clearly suggest that the detected binding sites correspond to the physiological receptors involved in the glycogenolytic action of angiotensin on rat liver.     

Kinetics of DNA binding with chloroquine phosphate using capacitive sensing method

The capacitive sensing method has been applied to study the binding of DNA with chloroquine phosphate. DNA was immobilized on a gold electrode surface, self-assembled with thioglycolic acid. The results of a quartz crystal impedance (QCI) study indicate that the reaction of double-strand DNA (dsDNA) with chloroquine includes a fast electrostatic attraction and a slow intercalation of chloroquine into double-strand helix. The real-time experimental data obtained by capacitive sensing also revealed two distinctive kinetics stages during binding of dsDNA with chloroquine, while only one stage exists during reaction of single-strand DNA (ssDNA) with chloroquine. The kinetic parameters were obtained by fitting the real-time experimental data using a two stage reaction model. The rate constants of electrostatic attraction for dsDNA and ssDNA are estimated as 0.014 and 0.018 s(-1), respectively. The rate constant of the second stage of dsDNA is 0.0011 s(-1).     

Kinetics of calcium dissociation from its high-affinity transport sites on sarcoplasmic reticulum ATPase.

We investigated the kinetics of calcium dissociation from its high-affinity transport sites on sarcoplasmic reticulum Ca2(+)-ATPase by combining fast filtration with stopped-flow fluorescence measurements. At pH 6 and 20 degrees C, in the absence of potassium and in the presence of 20 mM MgCl2, isotopic exchange of bound calcium exhibited biphasic kinetics, with two phases of equal amplitude, regardless of the initial extent of binding site saturation. The rapidly exchangeable site, whose occupancy by calcium controlled the rate constant of the slow phase, had an apparent affinity for calcium of about 3-6 microM. A similar high affinity was also deduced from measurements of the calcium dependence of the rate constant for ATPase fluorescence changes. This affinity was higher than the overall affinity for calcium deduced from the equilibrium binding measurements (dissociation constant of 15-20 microM); this was consistent with the occurrence of cooperativity (Hill coefficient of 1.6-1.8). The drop in intrinsic fluorescence observed upon chelation of calcium was always slightly faster than the dissociation of calcium itself, although the rates for both this drop in fluorescence and calcium dissociation varied slightly from one preparation to the other. This fluorescence drop was therefore mainly due to dissociation of the bound ions, not to slow transconformation of the ATPase. Dissociation of the two bound calcium ions in a medium containing EGTA exhibited monophasic kinetics in the presence of a calcium ionophore, with a rate constant about half that of the fast phase of isotopic exchange. This particular pattern was observed over a wide range of experimental conditions, including the presence of KCl, dimethyl sulfoxide, 4-nonylphenol, or a nucleotide analogue, at pH 6 or 7, and at various temperatures. The kinetics of calcium dissociation under the above various conditions were not correlated with the ATPase affinity for calcium deduced from equilibrium measurements under the same conditions. These results are consistent with sequential dissociation of calcium from a narrow binding pocket inside which a single calcium ion can move fairly easily. Escape of calcium might be controlled by a structural compartment acting as a gate.     

Energetics and kinetics of cooperative cofilin-actin filament interactions

We have evaluated the thermodynamic parameters associated with cooperative cofilin binding to actin filaments, accounting for contributions of ion-linked equilibria, and determined the kinetic basis of cooperative cofilin binding. Ions weaken non-contiguous (isolated, non-cooperative) cofilin binding to an actin filament without affecting cooperative filament interactions. Non-contiguous cofilin binding is coupled to the dissociation of approximately 1.7 thermodynamically bound counterions. Counterion dissociation contributes approximately 40% of the total cofilin binding free energy (in the presence of 50 mM KCl). The non-contiguous and cooperative binding free energies are driven entirely by large, positive entropy changes, consistent with a cofilin-mediated increase in actin filament structural dynamics. The rate constant for cofilin binding to an isolated site on an actin filament is slow and likely to be limited by filament breathing. Cooperative cofilin binding arises from an approximately tenfold more rapid association rate constant and an approximately twofold slower dissociation rate constant. The more rapid association rate constant is presumably a consequence of cofilin-dependent changes in the average orientation of subdomain 2, subunit angular disorder and filament twist, which increase the accessibility of a neighboring cofilin-binding site on an actin filament. Cooperative association is more rapid than binding to an isolated site, but still slow for a second-order reaction, suggesting that cooperative binding is limited also by binding site accessibility. We suggest that the dissociation of actin-associated ions weakens intersubunit interactions in the actin filament lattice that enhance cofilin-binding site accessibility, favor cooperative binding and promote filament severing.