Microcalorimetric investigation of the interactions in the ternary complex calmodulin-calcium-melittin

Flow microcalorimetric titrations of calmodulin with melittin at 25 degrees C revealed that the formation of the high-affinity one-to-one complex in the presence of Ca2+ (Comte, M., Maulet, Y., and Cox, J. A. (1983) Biochem, J. 209, 269-272) is entirely entropy driven (delta H0 = 30.3 kJ X mol-1; delta S0 = 275 J X K-1 X mol-1). Neither the proton nor the Mg2+ concentrations have any significant effect on the strength of the complex. In the absence of Ca2+, a nonspecific calmodulin-(melittin)n complex is formed; the latter is predominantly entropy driven, accompanied by a significant uptake of protons and fully antagonized by Mg2+. Enthalpy titrations of metal-free calmodulin with Ca2+ in the presence of an equimolar amount of melittin were carried out at pH 7.0 in two buffers of different protonation enthalpy. The enthalpy and proton release profiles indicate that: protons, absorbed by the nonspecific calmodulin-melittin complex, are released upon binding of the first Ca2+; Ca2+ binding to the high-affinity configuration of the calmodulin-melittin complex displays an affinity constant greater than or equal to 10(7) M-1, i.e. 2 orders of magnitude higher than that of free calmodulin; the latter is even more entropy driven (delta H0 = 7.2 kJ X site-1; delta S0 = 158 J X K-1 X site-1) than binding to free calmodulin (delta H0 = 4.7 kJ X site-1; delta S0 = 112 J X K-1 X site-1), thus underlining the importance of hydrophobic forces in the free energy coupling involved in the ternary complex.     

Thermodynamics of the Ca2+ binding to bovine alpha-lactalbumin

Bovine alpha-lactalbumin contains one strong Ca2+-binding site. The free energy (delta G0), enthalpy (delta H0), and entropy (delta S0) of binding of Ca2+ to this site have been calculated from microcalorimetric experiments. The enthalpy of binding was dependent on the metal-free bovine alpha-lactalbumin concentration. At 0.8 mg ml-1, metal-free bovine alpha-lactalbumin delta H0 was -110 +/- 6 kJ mol-1. At this concentration the binding constant was estimated from a mathematical analysis of the titration curves to be greater than 10(7) M-1. This means that delta G0 is smaller than -40 kJ mol-1 and delta S0 is less negative than -235 J.K-1 mol-1. The binding of Ca2+ is therefore enthalpy-driven. From binding experiments as a function of temperature, a delta Cp value of -4.1 kJ.K-1 mol-1 was calculated. This value is dependent on the protein concentration. A tentative explanation for this large value is given.     

Calcium-proton and calcium-magnesium antagonisms in calmodulin: microcalorimetric and potentiometric analyses

Microcalorimetry, pH potentiometry, and direct binding studies by equilibrium dialysis or gel filtration were performed to determine the thermodynamic functions delta Ho, delta Go, and delta So guiding the interactions of Ca2+, Mg2+, and H+ with bovine brain calmodulin. At pH 7.5, Ca2+ and Mg2+ binding are both endothermic with enthalpy changes of 19.5 and 72.8 kJ X (mol of calmodulin)-1, respectively. These enthalpy changes are identical for each of the four ion-binding domains. The affinity constants also are identical with intrinsic values of 10(5) M-1 for Ca2+ and 140 M-1 for Mg2+. Ca2+ and Mg2+ do not compete for the same binding sites: at high concentrations of both ions, a calmodulin-Ca4-Mg4 species is formed with an enthalpy value of 24.4 kJ X mol-1 with respect to calmodulin-Ca4 and -28.8 kJ X mol-1 with respect to calmodulin-Mg4. Moreover, in the presence of high concentrations of Ca2+, the affinity of each of the four ion-binding domains in calmodulin for Mg2+ is decreased by a factor of 4 and vice versa, indicative of negative free-energy coupling between Ca2+ and Mg2+ binding. Protons antagonize Ca2+ and Mg2+ binding in a different manner. Ca2+-H+ antagonism is identical in each of the four Ca2+-binding domains in the pH range 7.5-5.2. Our analyses suggest that three chemical geometries, probably carboxyl-carboxylate interactions, are responsible for this antagonism with ionization constants of 10(6.2) M-1 in the metal-free protein. Mg2+-H+ antagonism also is identical for each of the Mg2+-binding sites but is qualitatively different from Ca2+-H+ antagonism.(ABSTRACT TRUNCATED AT 250 WORDS)     

Comparison of the binding of Na+ and Ca2+ to bovine alpha-lactalbumin

alpha-Lactalbumin is a metal-binding protein which binds Ca2+- and Na+-ions competitively to one specific site, giving rise to a large conformational change of the protein. For this reason, the enthalpy change of binding Ca2+ to apo-alpha-lactalbumin (delta Ho) is strongly dependent on the concentration of Na+ ions in the medium. From that relationship a molar enthalpy of -145 +/- 3 kJ X mol-1 is calculated for the Ca2+-binding at pH 7.4 and 25 degrees C, while a delta Ho of -5 +/- 3 kJ X mol-1 is found to substitute a complexed Na+ by a Ca2+-ion. These measurements also allowed us to calculate a binding constant for Na+ of 195 +/- 18 M-1. The molar enthalpy of Na+-loading was found to be -142 +/- 3 kJ X mol-1, a value very close to delta Ho of the binding of Ca2+ to alpha-lactalbumin. Both enthalpy changes in binding Ca2+ and Na+ are independent of the protein concentration. These exothermic values are in agreement with the hypothesis that both Na+- and Ca2+-ions are able to induce the same conformational change in alpha-lactalbumin upon which hydrophobic regions are removed from the solvent, yielding a less hydrophobic protein. The latter is confirmed by means of affinity measurements of the hydrophobic fluorescent probe 4,4'-bis[1-(phenylamino)-8-naphthalene sulphonate](bis-ANS) to alpha-lactalbumin. The association constant (Ka) decreased from (6.6 +/- 0.5) X 10(4) M-1 in the absence of NaCl to (2.7 +/- 0.2) X 10(4) M-1 in 75 mM NaCl, while the maximum intensity (Imax) of the binary bis-ANS-alpha-lactalbumin complex remained constant at 0.44 +/- 0.02 (arbitrary units). The Ka value of bis-ANS for Ca2+-alpha-lactalbumin was determined at (1.7 +/- 0.2) X 10(4) M-1 and Imax was 0.43 +/- 0.02 (arbitrary units). The difference in hydrophobicity between the two conformational states of the protein was further demonstrated by adsorption experiments of both conformers to phenyl-Sepharose. Apo-alpha-lactalbumin, hydrophobically bound to phenyl-Sepharose, can be eluted by adding Ca2- or Na+-solutions.     

Thermodynamic parameters of cytochrome c3-ferredoxin complex formation

The complex formation between cytochrome c3 and ferredoxin I from Desulfovibrio desulfuricans Norway was studied by microcalorimetric and pH-stat titration measurements. The stoichiometry of the complex was found to be one molecule of cytochrome c3 per monomer of ferredoxin I. The association constant determined at T = 283 K in tris(hydroxymethyl)aminomethane hydrochloride (Tris-HCl) buffer, 10(-2) M and pH 7.7, was KA = 1.3 X 10(6) M-1. Though the enthalpy (delta H = 19 +/- 1 kJ.mol-1) and the entropy (delta S = 183 J.K-1.mol-1) were positive and consistent with a hydrophobic process involved in the interaction, the analysis of ionic strength dependence exhibited an important electrostatic effect on the association. The use of both Tris-HCl and phosphate buffers during microcalorimetric experiments showed proton release at pH 6.6. The pH-stat study of proton release indicated that one of the charged groups involved in the interacting site underwent a pK shift from 7.35 to 6.05.     

Calcium- and magnesium-binding properties of oncomodulin. Direct binding studies and microcalorimetry

Ca2+ binding to the wild type recombinant oncomodulin was studied by equilibrium flow dialysis in the absence and presence of 1, 2, and 10 mM Mg2+. Direct Mg2(+)-binding experiments were carried out by the Hummel-Dryer gel filtration technique. These studies revealed that in the absence of Mg2+ oncomodulin binds two Ca2+ with KCa = 2.2 x 10(7) and 1.7 x 10(6) M-1, respectively. In the absence of Ca2+ the protein binds only one Mg2+ with KMg = 4.0 x 10(3) M-1.Mg2+ antagonizes Ca2+ binding at the high affinity site according to the rule of direct competition. Ca2+ binding to the low affinity site is only slightly affected by Mg2+, so that in the presence of 2-3 mM Mg2+ the two sites have apparently an equal affinity for Ca2+. Microcalorimetry showed that, in spite of the different affinities of the two Ca2(+)-binding sites, delta H0 for the binding of each Ca2+ is identical and exothermic for -18.9 kJ/site. It follows that the entropy gain upon binding of Ca2+ is +77.1 J K-1 site-1 for the high affinity Ca2(+)-Mg2+ site and +56.0 J K-1 site-1 for the low affinity Ca2(+)-specific site. Mg2+ binding is endothermic for +13 kJ/site with an entropy change of +111 J K-1 site-1. The thermodynamic characteristics of the Ca2(+)-Mg2+ site resemble most those of site II (the so-called EF domain) of toad alpha-parvalbumin. The characteristics of Ca2+ binding to the specific site (likely the CD domain) are different from those of the Ca2+ specific sites in troponin C and in calmodulin and suggest that in oncomodulin hydrophobic forces do not play a predominant role in the binding process at the specific site.     

High-affinity formation of a 2:1 complex between gramicidin S and calmodulin.

Two molecules of gramicidin S, a very rigid cyclic decapeptide rich in beta-sheet structure, can bind in a Ca2+-dependent way to a calmodulin molecule in the presence as well as in the absence of 4 M-urea. The flow-microcalorimetric titration of 25 microM-calmodulin with gramicidin S at 25 degrees C is endothermic for 21.3 kJ.mol-1; the enthalpy change is strictly linear up to a ratio of 2, indicating that the affinity constant for binding of the second gramicidin S is at least 10(7) M-1. In 4 M-urea the peptide quantitatively displaces seminalplasmin from calmodulin, as monitored by tryptophan fluorescence. An iterative data treatment of these competition experiments revealed strong positive co-operativity with K1 less than 5 X 10(5) M-1 and K1.K2 = 2.8 X 10(12) M-2. A competition assay with the use of immobilized melittin enabled us to monitor separately the binding of the second gramicidin S molecule: the K2 value is 1.9 X 10(7) M-1. By complementarity, the K1 value is 1.5 X 10(5) M-1. In the absence of urea the seminalplasmin displacement is incomplete: the data analysis shows optimal fitting with K1 less than 2 X 10(4) M-1 and K1.K2 = 3.2 X 10(11) M-2 and reveals that the mixed complex (calmodulin-seminalplasmin-gramicidin S) is quite stable and is even not fully displaced from calmodulin at high concentrations of gramicidin S. The activation of bovine brain phosphodiesterase by calmodulin is not impaired up to 0.2 microM-gramicidin S. According to our model the ternary complex enzyme-calmodulin-gramicidin is relatively important and displays the same activity as the binary complex enzyme-calmodulin. Gramicidin S also displaces melittin from calmodulin synergistically, as monitored by c.d. Our studies with gramicidin S reveal the importance of multipoint attachments in interactions involving calmodulin and confirm the heterotropic co-operativity in the binding of calmodulin antagonists first demonstrated by Johnson [(1983) Biochem. Biophys. Res. Commun. 112, 787-793].     

Thermodynamics of the binding of Streptomyces subtilisin inhibitor to alpha-chymotrypsin

The binding of Streptomyces subtilisin inhibitor (SSI) to alpha-chymotrypsin (CT) (EC 3.4.21.1) was studied by isothermal and differential scanning calorimetry at pH 7.0. Thermodynamic quantities for the binding of SSI to the enzyme were derived as functions of temperature from binding constants (S. Matsumori, B. Tonomura, and K. Hiromi, private communication) and isothermal calorimetric experiments at 5-30 degrees C. At 25 degrees C, the values are delta G degrees b = -29.9 kJ mol-1, delta Hb = +18.7 (+/- 1.3) kJ mol-1, delta S degrees b = +0.16 kJ K-1 mol-1, and delta C p,b = -1.08 (+/- 0.11) kJ mol-1. The binding of SSI to CT is weak compared with its binding to subtilisin [Uehara, Y., Tonomura, B., & Hiromi, K. (1978) J. Biochem. (Tokyo) 84, 1195-1202; Takahashi, K., & Fukada, H. (1985) Biochemistry 24, 297-300]. This difference is due primarily to a less favorable enthalpy change in the formation of the complex with CT. The hydrophobic effect is presumably the major source of the entropy and heat capacity changes which accompany the binding process. The unfolding temperature of the complex is about 7 degrees C higher than that of the free enzyme. The enthalpy and the heat capacity changes for the unfolding of CT were found to be 814 kJ mol-1 and 17.3 kJ K-1 mol-1 at 49 degrees C. The same quantities for the unfolding of the SSI-CT complex are 1183 kJ mol-1 and 39.2 kJ K-1 mol-1 at 57 degrees C.     

Binding of simple carbohydrates and some of their chromophoric derivatives to soybean agglutinin as followed by titrimetric procedures and stopped flow kinetics

The number of carbohydrate-binding sites of the GalNAc-specific lectin is four per tetramer. The binding parameters of N-acetyl-D-galactosamine and methyl-N-acetyl-alpha-D- galactosaminide , were determined by titrating the perturbation in the absorption spectrum of the protein. For D-galactosides, it was necessary to use p-nitrophenyl-N-acetyl-beta-D- galactosaminide as an indicator in substitution titrations. The association constants K were determined at several temperatures yielding 2.4 X 10(4) M-1 at 25 degrees C with delta H degree' = -45 kJ mol-1 and delta S degree' = -67 J X K-1 mol-1 for methyl-N-acetyl-alpha-D- galactosaminide and 1.0 X 10(3) M-1 at 25 degrees C, delta H degree' = -38 kJ mol-1 and delta S degree' = -69 J X K-1 mol-1 for methyl-alpha-D-galactoside. The increase in K by a factor of 25 caused by the acetamido group is largely enthalpic . Whenever different methods were used to determine the association constant of a given compound, the agreement was excellent. The observed changes in absorption or fluorescence of all chromophoric carbohydrate derivatives used are specific for the binding of carbohydrates. For large aromatic beta- aglycons such as p-nitrophenyl or 4-methylumbelliferyl groups, the increase in K of the N-acetyl-D- galactosaminide moiety is by a factor of 2 or less, but for a large N-5-dimethylaminonaphthalene-1-sulfonyl (dansyl) group this factor is about 20 as compared with the acetyl group. The concomitant 10-fold increase in dansyl fluorescence, also observed with four other GalNAc-binding lectins together with a favorable and large delta S degree' = +60 J X K-1 mol-1 strongly point at the presence of a hydrophobic region in the vicinity of the carbohydrate-binding site. The results of stopped flow kinetics with 4-methylumbelliferyl-N-acetyl-beta-D- galactosaminide and the lectin are consistent with a simple mechanism for which k+ = 1.1 X 10(4) M-1 S-1 and k- = 0.4 S-1 at 25 degrees C. This k- is slower than for any monosaccharide-lectin complex reported so far.     

Thermodynamics of hydrolysis of sugar phosphates

Thermodynamics of the enzyme-catalyzed (alkaline phosphatase, EC 3.1.3.1) hydrolysis of glucose 6-phosphate, mannose 6-phosphate, fructose 6-phosphate, ribose 5-phosphate, and ribulose 5-phosphate have been investigated using microcalorimetry and, for the hydrolysis of fructose 6-phosphate, chemical equilibrium measurements. Results of these measurements for the processes sugar phosphate2- (aqueous) + H2O (liquid) = sugar (aqueous) + HPO2++-(4) (aqueous) at 25 degrees C follow: delta Ho = 0.91 +/- 0.35 kJ.mol-1 and delta Cop = -48 +/- 18 J.mol-1.K-1 for glucose 6-phosphate; delta Ho = 1.40 +/- 0.31 kJ.mol-1 and delta Cop = -46 +/- 11 J.mol-1.dK-1 for mannose 6-phosphate; delta Go = -13.70 +/- 0.28 kJ.mol-1, delta Ho = -7.61 +/- 0.68 kJ.mol-1, and delta Cop = -28 +/- 42 J.mol-1.K-1 for fructose 6-phosphate; delta Ho = -5.69 +/- 0.52 kJ.mol-1 and delta Cop = -63 +/- 37 J.mol-1.K-1 for ribose 5-phosphate; and delta Ho = -12.43 +/- 0.45 kJ.mol-1 and delta Cop = -84 +/- 30 J.mol-1.K-1 for the hydrolysis of ribulose 5-phosphate. The standard state is the hypothetical ideal solution of unit molality. Estimates are made for the equilibrium constants for the hydrolysis of ribose and ribulose 5-phosphates. The effects of pH, magnesium ion concentration, and ionic strength on the thermodynamics of these reactions are considered.     

Hydroxyl-ion-induced subunit dissociation of east cytoplasmic pyruvate decarboxylase. A circular dichroism study

Cytoplasmic pyruvate decarboxylase (EC 4.1.1.1, from Saccharomyces carlsbergensis) exhibits in its circular dichroic spectrum in the 250--320-nm range a multiple two-signal band. This couplet disappears on increasing the pH up to pH 8.5. Two classes of two protons each can be quantified by these spectral changes. The first class dissociates rapidly and the apparent pK is 7.84. The thermodynamic data are delta G = 87.7 kJ mol-1, delta H = + 56.0 kJ mol-1, delta S = - 108 J mol-1 K-1, very characteristic for the deprotonation of an amino-acid side chain. The second class of the protons has the following thermodynamic data: delta G = 88.3 kJ mol-1, delta H = - 64.3 kJ mol-1, delta S = - 520 J mol-1 K-1 which, in conjunction with kinetic reasoning and in view of enzyme stoichiometry and symmetry, suggests a conformational equilibrium exposing the second two protons. Th enzyme dissociates into two dimeric subunits. This dissociation step is considered to be rate-determining for the overall process. The data are kp = 1.4 . 10(-3), delta H not equal to = + 128.3 kJ mol-1, delta S not equal = + 136 J mol-1 K-1. If there is a conformational equilibrium, the rate constant of product formation kp will be modified by a factor beta = kc/(1 + Kc) (0 < beta less than or equal to 1) where Kc is the conformational equilibrium constant. The subunit dissociation appears to be controlled by the enthalpy of activation indicating that a number of interactions, i.e. ionic, hydrogen and hydrophobic bridges, are to be broken. Optimal conditions for the preparation of the apo-enzyme are derived from the data.     

Binding of branched-chain 2-oxo acids to bovine serum albumin.

1. Binding of branched-chain 2-oxo acids to defatted bovine serum albumin was shown by gel chromatography and equilibrium dialysis. 2. Equilibrium-dialysis data suggest a two-side model for binding in Krebs-Henseleit saline at 37 degrees C with n1 = 1 and n2 = 5. Site association constants were: 4-methyl-2-oxovalerate, k1 = 8.7 x 10(3) M-1, k2 = 0.09 x 10(3) M-1; 3-methyl-2-oxovalerate, k1 = 9.8 x 10(3) M-1, k2 = 0.08 x 10(3) M-1; 3-methyl-2-oxobutyrate, k1 = 1.27 x 10(3) M-1, k2 = less than 0.05 x 10(3) M-1. 3. Binding of 4-methyl-2-oxovalerate to defatted albumin in a phosphate-buffered saline, pH 7.4, gave the following thermodynamic parameters: primary site delta H0(1) = -28.6kJ . mol-1 and delta S0(1) = -15.2J . mol-1 . K-1 (delta G0(1) = -24.0kJ . mol-1 at 37 degrees C) and secondary sites delta H0(2) = -25.4kJ . mol-1 and delta S0(2) = -46.1J . mol-1 . K-1 (delta G0(1) = -11.2kJ . mol-1 at 37 degrees C). Thus binding at both sites is temperature-dependent and increases with decreasing temperature. 4. Inhibition studies suggest that 4-methyl-2-oxovalerate may associate with defatted albumin at a binding site for medium-chain fatty acids. 5. Binding of the 2-oxo acids in bovine, rat and human plasma follows a similar pattern to binding to defatted albumin. The proportion bound in bovine and human plasma is much higher than in rat plasma. 6. Binding to plasma protein, and not active transport, explains the high concentration of branched-chain 2-oxo acids leaving rat skeletal muscle relative to the concentration within the tissue, but does not explain the 2-oxo acid concentration gradient between plasma and liver.     

Thermodynamics of isomerization reactions involving sugar phosphates

Thermodynamics of isomerization reactions involving sugar phosphates have been studied using heat-conduction microcalorimetry. For the process glucose 6-phosphate2-(aqueous) = fructose 6-phosphate2- (aqueous), K = 0.285 +/- 0.004, delta Go = 3.11 +/- 0.04 kJ.mol-1, delta Ho = 11.7 +/- 0.2 kJ.mol-1, and delta Cop = 44 +/- 11 J.mol-1.K-1 at 298.15 K. For the process mannose 6-phosphate2- (aqueous) = fructose 6-phosphate2- (aqueous), K = 0.99 +/- 0.05, delta Go = 0.025 +/- 0.13 kJ.mol-1, delta Ho = 8.46 +/- 0.2 kJ.mol-1, and delta Cop = 38 +/- 25 J.mol-1.K-1 at 298.15 K. The standard state is the hypothetical ideal solution of unit molality. An approximate result (-14 +/- 5 kJ.mol-1) was obtained for the enthalpy of isomerization of ribulose 5-phosphate (aqueous) to ribose 5-phosphate (aqueous). The data from the literature on isomerization reactions involving sugar phosphates have been summarized, adjusted to a common reference state, and examined for trends and relationships to each other and to other thermodynamic measurements. Estimates are made for thermochemical parameters to predict the state of equilibrium of the several isomerizations considered herein.     

Evidence for four capital and six auxiliary cation-binding sites on calmodulin: divalent cation interactions monitored by direct binding and microcalorimetry

Recently, Mills and Johnson [7] and our group [9] provided evidence that calmodulin contains, in addition to the four Ca2+-binding sites (capital sites), which are essential for drug- and enzyme-binding, a number of divalent cation-binding sites of different ion selectivity (auxiliary sites), which modulate drug-binding as well as the affinity of Ca2+ for the capital sites. In the present study, the number of auxiliary sites and their relationship to the capital sites were determined by equilibrium gel filtration and by flow microcalorimetry with Zn2+ and Mn2+ as selective probes for the auxiliary sites and with Cd2+ as a probe for both types of sites. In the absence of other divalent cations, 6 mol of Zn2+ bind to calmodulin with an identical affinity constant of 2,850 M-1 and a delta H0 of 106 kJ/mol calmodulin. In the presence of millimolar free Ca2+ calmodulin binds, in addition to four Ca2+, six Zn2+ with an affinity constant of 1,200 M-1 and a delta H0 of 47 kJ/mol calmodulin. The Zn2+-Ca2+ antagonism is governed by negative free energy coupling between the capital and auxiliary sites. In contrast, the Zn2+-Mg2+ antagonism follows the rule of straight competition at all six auxiliary sites. Mn2+ also binds exclusively to the auxiliary sites with affinity constants of 800 or 280 M-1 and delta H0 of 45 or 46 kJ/mol calmodulin in the absence and presence of saturating [Ca2+], respectively. Cd2+ binds to the capital sites with an affinity constant of 3.4 10(4) M-1 (delta H = 35 kJ/mol calmodulin) and to the auxiliary sites with ca. 100-fold lower affinity. The Zn2+ much greater than Mn2+ greater than or equal to Cd2+ greater than Mg2+ selectivity of the auxiliary sites corroborates the potencies of these cations in modulating drug binding. The auxiliary site-specific cations are unable to promote high-affinity complex formation between calmodulin and melittin.     

Thermodynamic analysis of rat brain opioid mu-receptor-ligand interaction

Opioid mu-receptors are membrane bound receptors. The mechanism by which they transduce their biological effect into the inner compartment of the postsynaptic cell is still not fully understood. The present study was attempted to the measurement of changes of the thermodynamic parameters of the receptor--agonist/antagonist interaction. We have set up the binding assays of a mu-receptor agonist (3H-dihydromorphine) as well as an antagonist (3H-naloxone). The saturation isotherms of both ligands have been assayed at various temperatures and from the resulting KD values the standard changes of Gibbs energy, enthalpy and entropy have been calculated. While the binding of the mu-receptor agonist 3H-dihydromorphine appears to be entropy driven (delta S0 = 230 J mol-1 K-1) and endothermic (delta H0 = 19 kJ mol-1), the binding of the mu-receptor antagonist 3H-naloxone is apparently driven by a decrease of standard enthalpy (delta H0 = -27 kJ mol-1; i.e. the reaction is exothermic) and is also characterized by an increase of standard entropy (delta S0 = 76 J mol-1 K-1). The maximal number of 3H-naloxone binding sites has to be determined by incubation at 0-4 degrees C. The present data to not support the view that opioid mu-receptors transduce their biological signal through the adenylatecyclase system by a mechanism similar to beta-adrenergically stimulated adenylatecyclase.     

Thermodynamics of Ca2+ binding to calmodulin and its tryptic fragments.

The binding of Ca2+ to calmodulin and its two tryptic fragments has been studied using microcalorimetry. The binding process is accompanied by the uptake or release of protons, depending on the ionic strength. With no added salt, the total enthalpy change for the binding of four calcium ions to calmodulin is -41 kJ mol-1 but in the presence of 0.15 mM KCl delta Htot is +17 kJ mol-1. The mode of binding of Ca2+ is also completely different with and without added salt. It is also shown that for the C-terminal fragment of calmodulin, TR2C, the drastic reduction in delta Gtot for the binding process on increasing the ionic strength is largely an enthalpic effect. Domain interactions in calmodulin are indicated by the fact that the sum of the enthalpies of calcium binding to the two tryptic fragments is not the same as the total binding enthalpy to calmodulin itself. The binding of Ca2+ to calmodulin has also been studied calorimetrically at different temperatures in the range 21-37 degrees C. delta Cp is large and negative in this interval.     

Effect of temperature on the creatine kinase equilibrium.

The effect of temperature on the apparent equilibrium constant of creatine kinase (ATP:creatine N-phosphotransferase (EC 2.7.3.2)) was determined. At equilibrium the apparent K' for the biochemical reaction was defined as [formula: see text] The symbol sigma denotes the sum of all the ionic and metal complex species of the reactant components in M. The K' at pH 7.0, 1.0 mM free Mg2+, and ionic strength of 0.25 M at experimental conditions was 177 +/- 7.0, 217 +/- 11, 255 +/- 10, and 307 +/- 13 (n = 8) at 38, 25, 15, and 5 degrees C, respectively. The standard apparent enthalpy or heat of the reaction at the specified conditions (delta H' degree) was calculated from a van't Hoff plot of log10K' versus 1/T, and found to be -11.93 kJ mol-1 (-2852 cal mol-1) in the direction of ATP formation. The corresponding standard apparent entropy of the reaction (delta S' degree) was +4.70 J K-1 mol-1. The linear function (r2 = 0.99) between log10 K' and 1/K demonstrates that both delta H' degree and delta S' degree are independent of temperature for the creatine kinase reaction, and that delta Cp' degree, the standard apparent heat capacity of products minus reactants in their standard states, is negligible between 5 and 38 degrees C. We further show from our data that the sign and magnitude of the standard apparent Gibbs energy (delta G' degree) of the creatine kinase reaction was comprised mostly of the enthalpy of the reaction, with 11% coming from the entropy T delta S' degree term. The thermodynamic quantities for the following two reference reactions of creatine kinase were also determined. [formula: see text] The delta H degree for Reaction 2 was -16.73 kJ mol-1 (-3998 cal mol-1) and for Reaction 3 was -23.23 kJ mol-1 (-5552 cal mol-1) over the temperature range 5-38 degrees C. The corresponding delta S degree values for the reactions were +110.43 and +83.49 J K-1 mol-1, respectively. Using the delta H' degree of -11.93 kJ mol-1, and one K' value at one temperature, a second K' at a second temperature can be calculated, thus permitting bioenergetic investigations of organs and tissues using the creatine kinase equilibria over the entire physiological temperature range.     

Kinetics of calcium dissociation from calmodulin and its tryptic fragments. A stopped-flow fluorescence study using Quin 2 reveals a two-domain structure

The kinetics of calcium dissociation from bovine testis calmodulin and its tryptic fragments have been studied by fluorescence stopped-flow methods, using the calcium indicator Quin 2. Two distinct rate processes, each corresponding to the release of two calcium ions are resolved for calmodulin at both low and high ionic strength. The effect of 0.1 M KCl is to accelerate the slow process from 9.1 +/- 1.5 s-1 to 24 +/- 6.0 s-1 and to reduce the rate of the fast process from 650 s-1 to 240 +/- 50 s-1 at 25 degrees C. In the presence of 0.1 M KCl it was possible to determine activation parameters for the fast process: delta H# = 41 +/- 5 kJ mol-1 and delta S# = -63 +/- 17 J K-1 mol-1. These values are in good agreement with those obtained by 43Ca NMR. Studies of the tryptic fragments TR1C and TR2C, comprising the N-terminal or C-terminal half of calmodulin, clearly identified Ca2+-binding sites I and II as the low-affinity (rapidly dissociating) sites and sites III and IV as the high-affinity (slowly dissociating) sites. The kinetic properties of the two proteolytic fragments are closely similar to the fast and slowly dissociating sites of native calmodulin, supporting the idea that calmodulin is constructed from two largely independent domains. The presence of the calmodulin antagonist trifluoperazine markedly decreased the Ca2+ dissociation rates from calmodulin. One of the two high-affinity trifluoperazine-binding sites was found to be located on the N-terminal half and the other on the C-terminal half of calmodulin. The affinity of the C-terminal site is at least one order of magnitude greater.     

Calorimetric experiments of Mn2+ -binding to alpha-lactalbumin

We measured by batch microcalorimetry the standard enthalpy change delta H degrees of the binding of Mn2+ to apo-bovine alpha-lactalbumin; delta H degrees = -90 +/- k J.mol-1. The binding constants, KMn2+, calculated from the calorimetric and circular dichroism titration curves, are (4.6 +/- 1).10(5) M-1 and (2.1 +/- 0.4).10(5) M-1, respectively. Batch calorimetry confirms the competitive binding Ca2+, Mn2+ and Na+ to the same site. The relatively small enthalpy change for Mn2+ binding compared to Ca2+ binding favours a model of a rigid and almost ideal Ca2+-complexating site, different from the well-known EF-hand structures. Cation binding to the high-affinity site most probably triggers the movement of an alpha-helix which is directly connected to the complexating loop.     

Comparison of the binding of Ca2+ and Mn2+ to bovine alpha-lactalbumin and equine lysozyme

The enthalpy change of the binding of Ca2+ and Mn2+ to equine lysozyme was measured at 25 degrees C and pH 7.5 by batch microcalorimetry: delta H degrees Ca2+ = -76 +/- 5 kJ mol-1, delta H degrees Mn2+ = -21 +/- 10 kJ mol-1. Binding constants, log KCa2+ = 6.5 +/- 0.2 and log KMn2+ = 4.1 +/- 0.5, were calculated from the calorimetric data. Therefore, delta S degrees Ca2+ = -131 +/- 20 JK-1 mol-1 and delta S degrees Mn2+ = 8 +/- 44 JK-1 mol-1. Removal of Ca2+ induces small but significant changes in the circular dichroism spectrum, indicating the existence of a partially unfolded apo-conformation, comparable with, but different from, the apo-conformation of bovine alpha-lactalbumin.