Thermodynamics of antigen-antibody binding using specific anti-lysozyme antibodies

Titration calorimetry measurements on the binding of hen lysozyme to the specific monoclonal IgG antibodies D1.3, D11.15, D44.1, F9.13.7, F10.6.6, their papain-cleaved antigen binding fragments (Fab) and their protein-engineered fragments consisting of non-covalently linked heavy variable chain and light variable chain domains (Fv) were performed between 6-50 degrees C in 0.15 M NaCl, 0.01 M sodium phosphate pH 7.1. The binding thermodynamic free energy change (delta G degrees b), enthalpy change (delta Hb), and entropy change (delta Sb) were the same for the whole IgG and its Fv and Fab fragments. With the exception of F9.13.7 at 13 degrees C, all the binding reactions were enthalpically driven with enthalpy changes ranging from -129 +/- 7 kJ mol-1 (D1.3 at 49.8 degrees C) to -26.2 +/- 0.6 kJ mol-1 (D44.1 at 8.0 degrees C). The heat capacity changes for the binding reaction (delta Cp) ranged from -2.72 +/- 0.16 kJ mol-1 K-1 (F9.13.7) to -0.95 +/- 0.06 kJ mol-1 K-1 (F10.6.6). The apolar surface areas buried at the binding sites estimated from the heat capacity changes indicate that the binding reactions are primarily hydrophobic, contrary to the mainly observed enthalpy-driven nature of the reactions. Conformational stabilization and the presence of water at the antigen-antibody interface may account for this discrepancy.     

Calorimetric studies of carbon monoxide and inositol hexaphosphate binding to hemoglobin A

Heats of CO and IHP binding to hemoglobin A have been determined under a variety of buffer and pH conditions. From these data heats of ion binding linked to hemoglobin oxygenation have been estimated. For IHP binding to deoxyhemoglobin the buffer-corrected enthalpies are surprisingly large, reaching -25 kcal/mol of IHP at pH 7.4. These values correspond to approximately -11 kcal/mol of proton absorbed upon IHP binding and may rise largely from the protonation of hitidine and NH2-terminal groups in the binding site (Arnone, A., and Perutz, M.F. (1974) Nature 249, 34-36). The decreased magnitude of delta HIHP observed at low pH parallels the decreased proton uptake at low pH. In 0.1 M chloride (pH 7.4) the reaction Hb(aq) + IHP leads to Hb x IHP(aq) has a standard free energy change (Edalji, R., Benesch, R.E., and Benesch, R. (1976) J. Biol. Chem. 251, 7720-7721) of -10 kcal and an enthalpy change of -25 kcal. Therefore, enthalpic forces provide the dominant driving force of this process. The origin of these large negative enthalpy changes is attributed to the exothermic protonation of protein basic groups induced by the proximity of phosphate negative charges. The importance of protonation in the binding of organic phosphates to hemoglobin may well extend to the specific binding of other phosphate substrates to enzyme reaction sites.     

Phosphatidylethanol inhibits phosphatidylinositol-phospholipase C activity in a competitive manner with phosphatidylinositol-4,5-bisphosphate

An obvious difficulty of the study of binding of volatile anesthetics to proteins is to prevent loss of the ligand during the procedure. A novel NMR tube was designed that consists of concentric double cylinders which slide each other under sealed condition. A gas space is left in the tube to measure the free anesthetic concentration in the gas phase, which is in equilibrium with the solution. The enthalpy change of anesthetic transfer from water to BSA, deltaH(w-->r) was -40 kJ x mol(-1). The Gibbs free energy deltaG(w-->r) was -14.0 kJ x mol(-1) at 283 K (K(D) = 2.6 mM) and increased to -11.6 kJ x mol(-1) at 310 K (K(D) = 10.9 mM). The maximum binding site (Bmax) was 19.3 at 10 degrees C and increased to 34.5 at 37 degrees C. The entropy change, deltaS(w-->r) was -92 J x mol(-1) x K(-1) and was almost constant in the temperature range 10 approximately 37 degrees C. Contrary to the general consensus that hydrophobic interaction is entropy-driven, the binding of halothane to BSA was enthalpy-driven, compensating the opposing effect of deltaS with negative deltaH at the biologically meaningful temperature range. Possible cause of the negative deltaS relating to the conformational change of BSA is discussed.     

Temperature dependence of histidine ionization constants in myoglobin

The standard enthalpy of ionization of six titratable histidines in horse metaquomyoglobin was determined by repeating proton NMR titrations as a function of temperature and using the van't Hoff relationship. It was found that deltaH degrees varies between 16 and 37 kJ mol(-1) in the protein, compared with a value of 29 kJ mol(-1) in free histidine. The standard entropy change was evaluated by combining the enthalpy and free energy changes derived from the pKa values. Although the entropy change could not be precisely and accurately obtained by this method, it could be established that it spans a wide range, from -60 to 0 J K(-1) mol(-1), about the value of -23 J K(-1) mol(-1) for the free histidine. The entropy change was used within the framework of enthalpy-entropy compensation to partition the solvation component from the standard thermodynamic quantities for each of the titrating residues. It was shown that the partitioning of the values in the protein is not readily understood in terms of solvent accessibility or electrostatic interactions. The contribution of solvation effects to the temperature response appeared to be significant only in the case of His-119 and His-48. The standard quantities were also used to explore the energetics of proton binding in the native state at temperatures below the onset of thermal denaturation.     

Toward an estimation of binding constants in aqueous solution: studies of associations of vancomycin group antibiotics

An approach toward the estimation of binding constants for organic molecules in aqueous solution is presented, based upon a partitioning of the free energy of binding. Consideration is given to polar and hydrophobic contributions and to the entropic cost of rotor restrictions and bimolecular associations. Several parameters (derived from an analysis of entropy changes upon the melting of crystals and from the binding of cell wall peptide analogues to the antibiotic ristocetin A) which may be useful guides to a crude understanding of binding phenomena are presented: (i) amide-amide hydrogen bond strengths of -(1 to 7) +/- 2 kJ.mol-1, (ii) a hydrophobic effect of -0.2 +/- 0.05 kJ.mol-1.A-2 of hydrocarbon removed from exposure to water in the binding process, and (iii) free energy costs for rotor restrictions of 3.5-5.0 kJ.mol-1. The validity of the parameters for hydrogen bond strengths is dependent on the validity of the other two parameters. The phenomenon of entropy/enthalpy compensation is considered, with the conclusion that enthalpic barriers to dissociations will result in larger losses in translational and rotational entropy in the association step. The dimerization of some vancomycin group antibiotics is strongly exothermic (-36 to -51 kJ.mol-1) and is promoted by a factor of 50-100 by a disaccharide attached to ring 4 (in vancomycin and eremomycin) and by a factor of ca. 1000 by an amino-sugar attached to the benzylic position of ring 6 in eremomycin. The dimerization process (which, as required for an exothermic association, appears to be costly in entropy) may be relevant to the mode of action of the antibiotics.     

Molecular basis of resistance to HIV-1 protease inhibition: a plausible hypothesis

The binding thermodynamics of the HIV-1 protease inhibitor acetyl pepstatin and the substrate Val-Ser-Gln-Asn-Tyr-Pro-Ile-Val-Gln, corresponding to one of the cleavage sites in the gag, gag-pol polyproteins, have been measured by direct microcalorimetric analysis. The results indicate that the binding of the peptide substrate or peptide inhibitor is entropically driven; i.e., it is characterized by an unfavorable enthalpy and a favorable entropy change, in agreement with a structure-based thermodynamic analysis based upon an empirical parameterization of the energetics. Dissection of the binding enthalpy indicates that the intrinsic interactions are favorable and that the unfavorable enthalpy originates from the energy cost of rearranging the flap region in the protease molecule. In addition, the binding is coupled to a negative heat capacity change. The dominant binding force is the increase in solvent entropy that accompanies the burial of a significant hydrophobic surface. Comparison of the binding energetics obtained for the substrate with that obtained for synthetic nonpeptide inhibitors indicates that the major difference is in the magnitude of the conformational entropy change. In solution, the peptide substrate has a higher flexibility than the synthetic inhibitors and therefore suffers a higher conformational entropy loss upon binding. This higher entropy loss accounts for the lower binding affinity of the substrate. On the other hand, due to its higher flexibility, the peptide substrate is more amenable to adapt to backbone rearrangements or subtle conformational changes induced by mutations in the protease. The synthetic inhibitors are less flexible, and their capacity to adapt is more restricted. The expected result is a more pronounced effect of mutations on the binding affinity of the synthetic inhibitors. On the basis of the thermodynamic differences in the mode of binding of substrate and synthetic inhibitors, it appears that a key factor to understanding resistance is given by the relative balance of the different forces that contribute to the binding free energy and, in particular, the balance between conformational and solvation entropy.     

Thermodynamics of antagonist binding to rat muscarinic M2 receptors: antimuscarinics of the pridinol, sila-pridinol, diphenidol and sila-diphenidol type

1. We studied the effect of temperature on the binding to rat heart M2 muscarinic receptors of antagonists related to the carbon/silicon pairs pridinol/sila-pridinol and diphenidol/sila-diphenidol (including three germanium compounds) and six structurally related pairs of enantiomers [(R)- and (S)-procyclidine, (R)- and (S)-trihexyphenidyl, (R)- and (S)-tricyclamol, (R)- and (S)-trihexyphenidyl methiodide, (R)- and (S)-hexahydro-diphenidol and (R)- and (S)-hexbutinol]. Binding affinities were determined in competition experiments using [3H]-N-methyl-scopolamine chloride as radioligand. The reference drugs were scopolamine and N-methyl-scopolamine bromide. 2. The affinity of the antagonists either increased or decreased with temperature. van't Hoff plots were linear in the 278-310 degrees K temperature range. Binding of all antagonists was entropy driven. Enthalpy changes varied from large negative values (down to -29 kJ mol-1) to large positive values (up to +30 kJ mol-1). 3. (R)-configurated drugs had a 10 to 100 fold greater affinity for M2 receptors than the corresponding (S)-enantiomers. Enthalpy and entropy changes of the respective enantiomers were different but no consistent pattern was observed. 4. When silanols (R3SiOH) were compared to carbinols (R3COH), the affinity increase caused by C/Si exchange varied between 3 and 10 fold for achiral drugs but was negligible in the case of chiral drugs. Silanols induced more favourable enthalpy and less favourable entropy changes than the corresponding carbinols when binding. Organogermanium compounds (R4Ge) when compared to their silicon counterparts (R4Si) showed no significant difference in affinity as well as in enthalpy and entropy changes. 5. Exchange of a cyclohexyl by a phenyl moiety was associated with an increase or a decrease in drug affinity (depending on the absolute configuration in the case of chiral drugs) and generally also with a more favourable enthalpy change and a less favourable entropy change of drug binding. 6. Replacement of a pyrrolidino by a piperidino group and increasing the length of the alkylene chain bridging the amino group and the central carbon or silicon atom were associated with either an increase or a decrease of entropy and enthalpy changes of drug binding. However, there was no clear correlation between these structural variations and the thermodynamic effects. 7. Taken together, these results suggest that hydrogen bond-forming OH groups and, to a lesser extent, polarizable phenyl groups contribute significantly to the thermodynamics of interactions between these classes of muscarinic antagonists and M2 muscarinic receptors.     

Introduction of a proline residue into position 31 of the loop of the dimeric 4-alpha-helical protein ROP causes a drastic destabilization

The exchange of an alanine with a proline residue in position 31 of the loop region of the dimeric 4-alpha-helical-bundle protein ROP causes a reduction in the alpha-helix content of 7% and a reduction in stability of about 40% compared to the wild type parameters. The Gibbs energy of unfolding by denaturants extrapolated linearly to zero denaturant concentration, delta G0D (buffer, 25 degrees C), has been determined to be 43 kJ (mol dimer)-1. The corresponding ROPwt value is 72 kJ (mol dimer)-1 (Steif et al., 1993). The extrapolated delta G0D values obtained from urea and GdmHCI un- and refolding studies are identical within error limits. Deconvolution of the stability values into enthalpy and entropy terms resulted in the following parameters. At T1/2 = 43 degrees C (Cprotein = 0.05 mg.ml-1) the ROP A31P mutant is characterized by delta Hv.H.0 = 272 kJ (mol dimer)-1, delta Cp = 7.2 kJ (mol dimer)-1 K-1, delta S0 = 762 J (mol dimer)-1 K-1. These parameters are only approximately 50% as large as the corresponding values of ROPwt. We assume that the significant reduction in stability reflects the absence of at least one hydrogen bond as well as deformation of the protein structure. This interpretation is supported by the reduction in the change in heat capacity observed for the A31P mutant relative to ROPwt, by the increased aggregation tendency of the mutant and by the reduced specific CD absorption at 222 nm. All results support the view that in the case of ROP protein the loop region plays a significant role in the maintenance of native structure and conformational stability.     

Dynamics and thermodynamics of the regulatory domain of human cardiac troponin C in the apo- and calcium-saturated states

The contraction of cardiac and skeletal muscles is triggered by the binding of Ca2+ to their respective troponin C (TnC) proteins. Recent structural data of both cardiac and skeletal TnC in both the apo and Ca2+ states have revealed that the response to Ca2+ is fundamentally different for these two proteins. For skeletal TnC, binding of two Ca2+ to sites 1 and 2 leads to large changes in the structure, resulting in the exposure of a hydrophobic surface. For cardiac TnC, Ca2+ binds site 2 only, as site 1 is inactive, and the structures show that the Ca2+-induced changes are much smaller and do not result in the exposure of a large hydrophobic surface. To understand the differences between regulation of skeletal and cardiac muscle, we have investigated the effect of Ca2+ binding on the dynamics and thermodynamics of the regulatory N-domain of cardiac TnC (cNTnC) using backbone 15N nuclear magnetic resonance relaxation measurements for comparison to the skeletal system. Analysis of the relaxation data allows for the estimation of the contribution of changes in picosecond to nanosecond time scale motions to the conformational entropy of the Ca2+-binding sites on a per residue basis, which can be related to the structural features of the sites. The results indicate that binding of Ca2+ to the functional site in cNTnC makes the site more rigid with respect to high-frequency motions; this corresponds to a decrease in the conformational entropy (TdeltaS) of the site by 2.2 kcal mol(-1). Although site 1 is defunct, binding to site 2 also decreases the conformational entropy in the nonfunctional site by 0.5 kcal mol(-1). The results indicate that the Ca2+-binding sites in the regulatory domain are structurally and energetically coupled despite the inability of site 1 to bind Ca2+. Comparison between the cardiac and skeletal isoforms in the apo state shows that there is a decrease in conformational entropy of 0.9 kcal mol(-1) for site 1 of cNTnC and little difference for site 2.     

A theoretical investigation of tight-binding thermolysin inhibitors

A tight-binding thermolysin inhibitor, Cbz-Phe-psi[PO2NH]-Leu-Ala (ZFpLA, Ki = 0.068 nM), and its analogs, ZRp(O)LA (R = Ala, Leu or Phe) have been studied using the finite difference solution to the linearized Poisson-Boltzmann equation (FDPB) and solvation entropy correction (SEC). The binding energy difference between conformationally different thermolysin inhibitors ZFpLA and ZGpLL is estimated using three approaches. Two of approaches use the X-ray structures of ZFpLA-thermolysin and ZGpLL-thermolysin structures. The third one uses both X-ray structures to calculate binding energy differences from ZFpLA and ZGpLL to a hypothetical intermediate MepLA. All the results are qualitatively correct with one closely reproducing the experimental value. The enhancement of the ZFpLA binding is attributed largely to the solvation entropy or "hydrophobic force". The binding mode of the ZGpLR N-terminal moiety appears to be electrostatically unfavorable. Reducing the polarity of that moiety is predicted to enhance binding affinity. The binding trends due to the hydrophobic variation of ZRp(O)LA are calculated within 1 kcal/mol of the experimental values. Increasing lipophilicity of a ligand favors the binding due to the difference of surface area change between the free state and the bound state. The analysis of energetic components shows that these trends are not specific for the binding of phosphorus-containing inhibitors but are generally true for protein-ligand interactions. The electrostatic calculation does not support the involvement of the second protonation of ZFpLA in binding. Therefore, reexamining the second protonation of ZFpLA or seeking further experimental support seems appropriate. The structural sensitivity of the FDPB calculation was assessed by using ligand and receptor structures from different X-ray studies of thermolysin. The small deviations (< 0.3 A) in the receptor structures do not cause significant changes in electrostatic binding energy if there is no structural change in modified regions.     

Dimer-to-tetramer transformation: loop excision dramatically alters structure and stability of the ROP four alpha-helix bundle protein

The ROP loop excision mutant RM6 shows dramatic changes in structure and stability in comparison to the wild-type protein. Removal of the five amino acids (Asp30, Ala31, Asp32, Glu33, Gln34) from the loop results in a complete reorganization of the protein as evidenced by single crystal X-ray analysis and thermodynamic unfolding studies. The homodimeric four-alpha-helix motif of the wild-type structure is given up. Instead a homotetrameric four-alpha-helix structure with extended, loop-free helical monomers is formed. This intriguing structural change is associated with the acquisition of hyperthermophilic stability. This is evident in the shift in transition temperature from 71 degreesC characteristic of the wild-type protein to 101 degreesC for RM6. Accordingly the Gibbs energy of unfolding is increased from 71.7 kJ (mol of dimer)-1 to 195.1 kJ (mol of tetramer)-1. The tetramer-to-monomer transition proceeds highly cooperatively involving an enthalpy change of DeltaH=1073+/-30 kJ (mol of tetramer)-1 and a heat capacity change at the transition temperature of DeltaDNCp=14.9(+/-)3% kJ (mol of tetramerxK)-1. The two-state nature of the unfolding reaction is reflected in coinciding calorimetric and van't Hoff enthalpy values.     

Quality of life and pain in patients with recurrent breast and gynecologic cancer

The kinetic mechanisms of the binding to tubulin of colchicine and eight different analogues have been studied to elucidate details of the recognition mechanism. All of the analogues follow a two step binding mechanism i.e. binding occurs via an initial step with low affinity, followed by an isomerisation of the initial complex leading to the final high affinity state. For several analogues the kinetic and thermodynamic data of both processes are compared here. For all the analogues the delta G1 degree of initial binding at 25 degrees C varies between -13.3 and -28.8 kJ. mol-1. For the second step delta G2 degrees varies between -2.4 and -27 kJ. mol-1. These limited ranges of free energy change are, however, obtained by a great variety of enthalpy changes and compensatory entropy changes. Comparison of the data for the first and second steps indicates that structural alterations of the drugs always change the thermodynamic parameters of the two steps, and the changes in the first and the second steps are in opposite directions. The fact that this range of experimental behaviour can be incorporated into a general mechanism encourages the extension of these investigations to other colchicine analogues and related compounds with potential pharmaceutical applications.     

Heat production and chemical change during isometric contraction of rat soleus muscle

1. Methods are described whereby the soleus muscle of the rat may be used for the investigation of initial processes in the absence of oxidative recovery. 2. The anaerobic conditions employed had no effect on the concentration of phosphocreatine in resting muscle or the mechanical response during contraction. 3. Muscles were stimulated tetanically for 10 s at 17-18 degrees C. Measurements were made of the heat production and metabolic changes that occurred during a 13 s period following the first stimulus. 4. There was no detectable change in the concentration of ATP. Neither was there detectable activity of adenylate kinase or adenylate deaminase. The changes in the concentration of glycolytic intermediaries were undetectable or very small. 5. The change in the concentration of phosphocreatine was large and amounted to -127 +/- 11-4 mumol/mmol Ct (mean and S.E. of the mean, negative sign indicates break-down, Ct = free creatine + phosphocreatine) which is equivalent to about -2-13 mumol/g wet weight of muscle. The heat production was 6549 +/- 408 mJ/mmol Ct (mean and S.E. of mean) which is equivalent to about 110 mJ/g. 6. About 30% of the observed energy output is unaccounted for by measured metabolic changes. 7. The ratio of heat production (corrected for small amounts of glycolytic activity) to phosphocreatine hydrolysis was -49-7 +/- 5-6 kJ/mol (mean and S.E. of mean), in agreement with previous results using comparable contractions of frog muscle, but different from the enthalpy change associated with phosphocreatine hydrolysis under in vivo conditions (-34 kJ/mol). 8. The results support the notion that the discrepancy between energy output and metabolism is an indication of an unidentified process of substantial energetic significance that is common to a number of species.     

Stability and oligosaccharide binding of the N1 cellulose-binding domain of Cellulomonas fimi endoglucanase CenC

Differential scanning calorimetry has been used to study the thermal stability and oligosaccharide-binding thermodynamics of the N-terminal cellulose-binding domain of Cellulomonas fimi beta-1,4-glucanase CenC (CBDN1). CBDN1 has a relatively low maximum stability (delta Gmax = 33 kJ/mol = 216 J/residue at 1 degree C and pH 6.1) compared to other small single-domain globular proteins. The unfolding is fully reversible between pH 5.5 and 9 and in accordance with the two-state equilibrium model between pH 5.5 and 11. When the single disulfide bond in CBDN1 is reduced, the protein remains unfolded at all conditions, as judged by NMR spectroscopy. This indicates that the intramolecular cross-link makes a major contribution to the stability of CBDN1. The measured heat capacity change of unfolding (delta Cp = 7.5 kJ mol-1 K-1) agrees well with that calculated from the predicted changes in the solvent accessible nonpolar and polar surface areas upon unfolding. Extrapolation of the specific enthalpy and entropy of unfolding to their respective convergence temperature indicates that per residue unfolding energies for CBDN1, an isolated domain, are in accordance with those found by Privalov (1) for many single-domain globular proteins. DSC thermograms of the unfolding of CBDN1 in the presence of various concentrations of cellopentaose were fit to a thermodynamic model describing the linkage between protein-ligand binding and protein unfolding. A global two-dimensional minimization routine is used to regress the binding enthalpy, binding constant, and unfolding thermodynamics for the CBDN1-cellopentaose system. Extrapolated binding constants are in quantitative agreement with those determined by isothermal titration calorimetry at 35 degrees C.     

Energy characteristics of an ATP-hydrolase reaction catalyzed by solubilized Ca2+,Mg2+-ATPase from smooth muscle cell membrane

The effects of temperature, dielectric permeability and ionic strength on the activity of purified Ca2+, Mg(2+)-ATPase solubilized from myometrial sarcolemma have been studied under saturation of the enzyme with Ca2+, Mg2+ and ATP. The values of activation energy calculated from Arrhenius plots for both ATP hydrolase reactions catalysed by solubilized and reconstituted into azolectin liposomes Ca2+, Mg(2+)-ATPase and Mg2+, ATP-dependent Ca2+ transport by the reconstituted enzyme were 56.4 +/- 1.5, 68.0 +/- 5.1 and 63.1 +/- 2.9 kJ/mol, respectively. Analysis of experimental data in terms of the Laidler-Scatchard and Bronsted-Bjerrum theories revealed that the separation of the reaction products--the chelate MgADP complex--from the active site of the enzyme bearing one unity positive charge is the limiting step of the Ca2+, Mg(2+)-dependent enzymatic ATP-hydrolysis under conditions of substrate saturation. The values of the electrostatic components of the free energy, enthalpy and entropy of activation of the ATP hydrolase reaction were 46.6 +/- 0.3 kJ/mol, -(20.5 +/- 0.4) kJ/mol and -(214.2 +/- 4.3) J/(mol.degrees K), respectively. The nonelectrostatic component of activation enthalpy was 76.9 kJ/mol. The results obtained suggest that changes in polarity of the incubation medium markedly affect the activity of transport Ca2+, Mg(2+)-ATPase solubilized from smooth muscle cell plasma membranes and that the electrostatic interactions between the enzyme active site and specific reagents (MgADP, in particular) significantly contribute to the energetics of the ATP hydrolase reaction.     

Perioperative pharmacodynamics of acetaminophen analgesia in children

The nitrogenase iron (Fe) protein binds two molecules of MgATP or MgADP, which results in protein conformational changes that are important for subsequent steps of the nitrogenase reaction mechanism. In the present work, isothermal titration calorimetry has been used to deconvolute the apparent binding constants (K'a1 and K'a2) and the thermodynamic terms (delta H' degree and delta S' degree) for each of the two binding events of MgATP or MgADP to either the reduced or oxidized states of the Fe protein from Azotobacter vinelandii. The Fe protein was found to bind two nucleotides with positive cooperativity and the oxidation state of the [4Fe-4S] cluster of the Fe protein was found to influence the affinity for binding nucleotides, with the oxidized ([4Fe-4S]2+) state having up to a 15-fold higher affinity for nucleotides when compared to the reduced ([4Fe-4S]1+) state. The first nucleotide binding reaction was found to be driven by a large favorable entropy change (delta S' degree = 10-21 cal mol-1 K-1), with a less favorable or unfavorable enthalpy change (delta H' degree = +1.5 to -3.3 kcal mol-1). In contrast, the second nucleotide binding reaction was found to be driven by a favorable change in enthalpy (delta H' degree = -3.1 to -13.0 kcal mol-1), with generally less favorable entropy changes. A plot of the associated enthalpy (-delta H' degree) and entropy terms (-T delta S' degree) for each nucleotide and protein binding reaction revealed a linear relationship with a slope of 1.12, consistent with strong enthalpy-entropy compensation. These results indicate that the binding of the first nucleotide to the nitrogenase Fe protein results in structural changes accompanied by the reorganization of bound water molecules, whereas the second nucleotide binding reaction appears to result in much smaller structural changes and is probably largely driven by bonding interactions. Evidence is presented that the total free energy change (delta G' degree) derived from the binding of two nucleotides to the Fe protein accounts for the total change in the midpoint potential of the [4Fe-4S] cluster.     

Surface Kinetics and Diffusion in the Vaporization of NiCI2

Abstract

The vaporization of NiCl₂ packed beds has been investigated under N₂ or He in the 702-832°C range by thermogravimetric (TGA) technique. The influences of both surface kinetic and mass transfer factors are observed and analyzed. The activation energy is found to be 218.4 kJ/mole which is very close to the standard enthalpy change for vaporization 215.8 kJ/mole. The vaporization coefficient is low: 3.25 x 10^-8. This is attributed to the large difference between the activation entropy of 36.75 J/mole-K and the standard entropy change for vaporization of 173.44 J/mole-K.     

Evaluation of linked protonation effects in protein binding reactions using isothermal titration calorimetry

A theoretical development in the evaluation of proton linkage in protein binding reactions by isothermal titration calorimetry (ITC) is presented. For a system in which binding is linked to protonation of an ionizable group on a protein, we show that by performing experiments as a function of pH in buffers with varying ionization enthalpy, one can determine the pK(a)'s of the group responsible for the proton linkage in the free and the liganded states, the protonation enthalpy for this group in these states, as well as the intrinsic energetics for ligand binding (delta H(o), delta S(o), and delta C(p)). Determination of intrinsic energetics in this fashion allows for comparison with energetics calculated empirically from structural information. It is shown that in addition to variation of the ligand binding constant with pH, the observed binding enthalpy and heat capacity change can undergo extreme deviations from their intrinsic values, depending upon pH and buffer conditions.     

稀土脯氨酸高氯酸盐配合物[RE_2(Pro)_6(H_2O)_4](ClO_4)_6(RE=Pr,Er)的低温热容及热力学性质

合成了两种纯度分别是 99.2 4%和 98.2 0 %的单晶稀土脯氨酸高氯酸盐配合物 [Pr2 (Pro) 6 (H2 O) 4](Cl O4) 6 和 [Er2 (Pro) 6 (H2 O) 4](Cl O4) 6 ,对该配合物进行了热容、热重、差热和标准燃烧热等测定。在 78～ 370 K温度区 ,用高精密全自动绝热量热仪测定了热容值 ,计算机拟合得其热容对温度的多项式方程分别为 :Cp=140 7.0 8 75 1.6 7X 170 .17X2 89.5 9X3- 76 .11X4和 Cp=1317.99 6 33.0 5 X 16 3.82 X2 15 0 .2 3X3- 86 .2 1X4,[Er2(Pro) 6 (H2 O) 4](Cl O4) 6 的 Cp- T曲线有一熔化峰 ,计算熔点为 35 5 .5 5 K,熔化熵为 6 9.5 42 J/(K m ol) ,熔化焓为2 472 5 .81J/m ol。 TG、DTA技术研究了其热分解过程 ,初步分析了配合物的分解机理。燃烧热实验给出了它们的标准燃烧热分别为 1772 0 .41k J/mol和 1810 1.6 5 k J/m ol     

Thermodynamics of apocytochrome b5 unfolding

Apocytochrome b5 from rabbit liver was studied by scanning calorimetry, limited proteolysis, circular dichroism, second derivative spectroscopy, and size exclusion chromatography. The protein is able to undergo a reversible two-state thermal transition. However, transition temperature, denaturational enthalpy, and heat capacity change are reduced compared with the holoprotein. Apocytochrome b5 stability in terms of Gibbs energy change at protein unfolding (delta G) amounts to delta G = 7 +/- 1 kJ/mol at 25 degrees C (pH 7.4) compared with delta G = 25 kJ/mol for the holoprotein. Apocytochrome b5 is a compact, native-like protein. According to the spectral data, the cooperative structure is mainly based in the core region formed by residues 1-35 and 79-90. This finding is in full agreement with NMR data (Moore, C.D. & Lecomte, J.T.J., 1993, Biochemistry 32, 199-207).