Thermodynamics of the arginine kinase reaction.

The effect of temperature, pH, free [Mg(2+)], and ionic strength on the apparent equilibrium constant of arginine kinase (EC 2.7.3.3) was determined. At equilibrium, the apparent K' was defined as [see text] where each reactant represents the sum of all the ionic and metal complex species. The K' at pH 7.0, 1.0 mM free [Mg(2+)], and 0. 25 M ionic strength was 29.91 +/- 0.59, 33.44 +/- 0.46, 35.44 +/- 0. 71, 39.64 +/- 0.74, and 45.19 +/- 0.65 (n = 8) at 40, 33, 25, 15, and 5 degrees C, respectively. The standard apparent enthalpy (DeltaH degrees') is -8.19 kJ mol(-1), and the corresponding standard apparent entropy of the reaction (DeltaS degrees') is + 2. 2 J K(-1)mol(-1) in the direction of ATP formation at pH 7.0, free [Mg(2+)] =1.0 mM, ionic strength (I) =0.25 M at 25 degrees C. We further show that the magnitude of transformed Gibbs energy (DeltaG degrees ') of -8.89 kJ mol(-1) is mostly comprised of the enthalpy of the reaction, with 7.4% coming from the entropy TDeltaS degrees' term (+0.66 kJ mol(-1)). Our results are discussed in relation to the thermodynamic properties of its evolutionary successor, creatine kinase.     

Self-association of rabbit muscle phosphofructokinase: effects of ligands

The effects of ligands on the self-association of rabbit muscle phosphofructokinase (PFK) were investigated by velocity sedimentation at pH 7.0 and 23 degrees C. The concentration dependence of the weight-average sedimentation coefficient was monitored in the presence of these ligands. The mode of association and equilibrium constants characterizing each association step were determined by theoretical fitting of the sedimentation data. The simplest mode of association for the PFK system is M in equilibrium M2 equilibrium M4 in equilibrium M16. Ligands and temperature would perturb the various equilibrium constants without altering the mode of association. The apparent equilibrium constants for the formation of tetramer, K4app, are increased in the presence of 0.1 mM ATP and 1.0 mM fructose 6-phosphate. The value of the sedimentation coefficient for the tetramer, S4 degrees, that would best fit the data is 12.4 S instead of 13.5 S determined in the absence of substrates, thus implying a structural change in the tetramer induced by substrates. Only an insignificant amount of dimer is present under the experimental conditions. The presence of activators, ADP or phosphate, enhances the formation of tetramers, and S4 degrees assumes a value of 13.5 S. Similar results are obtained with decreasing concentrations of proton. The presence of the inhibitor, citrate, however, favors the formation of dimers. The equilibrium constants determined as a function of ADP concentration were further analyzed by the linked-function theory derived by Wyman [Wyman, J. (1964) Adv. Protein Chem. 19, 224--285], leading to the conclusion that the formation of a tetramer involves the binding of two additional molecules of ADP per monomer. Similar analysis results in a conclusion that the formation of a dimer involves the binding of one additional molecule of citrate per phosphofructokinase subunit.     

Magnesium-induced self-association of calf brain tubulin. II. Thermodynamics.

The thermodynamic parameters of the magnesium ion induced self-association of calf brain tubulin in pH 7.0, 0.01 M phosphate buffer containing 10(-4) M GTP, were determined from sedimentation velocity experiments. This reaction proceeds by an isodesmic mechanism terminated by the highly favored formation of a closed ring shaped polymer of degree of association 26 +/- 4. Analysis of the variation of the apparent dimerization constant in the isodesmic mechanism s,ows that this self-association is characterized by positive enthalpy, entropy, heat capacity, and molar volume changes, as well as the binding of one additional magnesium ion, which is probably not involved as a bridge between the protein molecules. The addition of the last monomeric subunit has a free energy which is about three times that of dimer formation. Under the conditions of these experiments, tubulin binds 48 +/- 5 magnesium ions with a free energy of --2.8 kcal/mol.     

Structural energetics of barstar studied by differential scanning microcalorimetry.

The energetics of barstar denaturation have been studied by CD and scanning microcalorimetry in an extended range of pH and salt concentration. It was shown that, upon increasing temperature, barstar undergoes a transition to the denatured state that is well approximated by a two-state transition in solutions of high ionic strength. This transition is accompanied by significant heat absorption and an increase in heat capacity. The denaturational heat capacity increment at approximately 75 degrees C was found to be 5.6 +/- 0.3 kJ K-1 mol-1. In all cases, the value of the measured enthalpy of denaturation was notably lower than those observed for other small globular proteins. In order to explain this observation, the relative contributions of hydration and the disruption of internal interactions to the total enthalpy and entropy of unfolding were calculated. The enthalpy and entropy of hydration were found to be in good agreement with those calculated for other proteins, but the enthalpy and entropy of breaking internal interactions were found to be among the lowest for all globular proteins that have been studied. Additionally, the partial specific heat capacity of barstar in the native state was found to be 0.37 +/- 0.03 cal K-1 g-1, which is higher than what is observed for most globular proteins and suggests significant flexibility in the native state. It is known from structural data that barstar undergoes a conformational change upon binding to its natural substrate barnase.(ABSTRACT TRUNCATED AT 250 WORDS)     

Equilibrium thermodynamics of a physiologically-relevant heme-protein complex

We used isothermal titration calorimetry to study the equilibrium thermodynamics for formation of the physiologically-relevant redox protein complex between yeast ferricytochrome c and yeast ferricytochrome c peroxidase. A 1:1 binding stoichiometry was observed, and the binding free energies agree with results from other techniques. The binding is either enthalpy- or entropy-driven depending on the conditions, and the heat capacity change upon binding is negative. Increasing the ionic strength destabilizes the complex, and both the binding enthalpy and entropy increase. Increasing the temperature stabilizes the complex, indicating a positive van't Hoff binding enthalpy, yet the calorimetric binding enthalpy is negative (-1.4 to -6.2 kcal mol(-)(1)). We suggest that this discrepancy is caused by solvent reorganization in an intermediate state. The measured enthalpy and heat capacity changes are in reasonable agreement with the values estimated from the surface area change upon complex formation. These results are compared to those for formation of the horse ferricytochrome c/yeast ferricytochrome c peroxidase complex. The results suggest that the crystal and solution structures for the yeast complex are the same, while the crystal and solution structures for horse cytochrome c/yeast cytochrome c peroxidase are different.     

Sedimentation equilibrium measurements of recombinant DNA derived human interferon gamma

Recombinant DNA derived human interferon gamma (IFN-gamma) from Escherichia coli was examined by equilibrium ultracentrifugation. Short-column equilibrium experiments at pH 6.9 in 0.1 M ammonium acetate buffer gave a z-average molecular weight of 33,500 +/- 1400 at infinite dilution, corresponding to 1.98 +/- 0.08 times the formula weight. Long- (2.6 mm) column experiments at pH 7.5 in 0.04 M imidazole buffer gave a molecular weight of 33,400 +/- 500. Under the latter conditions IFN-gamma behaves somewhat nonideally, with the departure from ideality accounted for by an effective (Donnan) charge of about 6+. No association of this dimer to form tetramer or higher polymers was observed, with the association constant for formation of tetramer from dimer K24 found to be less than 34 L mol-1. Similarly, no dissociation to monomers was observable, with the dissociation constant to monomer K21 being less than 5 X 10(-8) mol L-1. At pH 3.55 in 0.02 M buffer (acetate plus acetic acid), there was virtually complete dissociation of the dimer to monomer. Extreme nonideality was seen in this low ionic strength system, and the effective charge on the protein was estimated to be about 11+. The reduced molecular weight M(1 -upsilon rho) of the monomer was found to be about 4.09 +/- 0.20 kg mol-1; this corresponds to a molecular weight of 16,410 +/- 820, with the Scatchard definition of components. A small amount of a polymer with a molecular weight of about 0.5 X 10(6) was detected under these conditions.     

The energetics of i-DNA tetraplex structures formed intermolecularly by d(TC5) and intramolecularly by d[(C5T3)3C5

Cytosine-rich DNA at low pH adopts an antiparallel tetraplex structure via the intercalation of two partially protonated, parallel stranded duplexes. This intriguing structural motif has been named i-DNA. We have used a combination of spectroscopic and calorimetric techniques to characterize the properties of an intermolecular i-DNA formed by d(TC(5)) and an intramolecular i-DNA formed by d[(C(5)T(3))(3)C(5)]. Our measurements reveal that both i-DNA complexes are enthalpically stabilized by 6.5-7.0 kcal/mol(base) and entropically destabilized by 20 cal/mol(base)/K. These values are about 50% larger than the corresponding enthalpy and entropy values per base for Watson and Crick duplexes and for Hoogsteen triplexes, while being similar to per base enthalpy and entropy values reported for G-quadruplexes. Our data also reveal a positive heat capacity change between 20 and 30 cal/mol(base)/K, values similar to that reported for polymeric Watson & Crick DNA duplexes. Solution-dependent studies reveal the overall thermal and thermodynamic stability of i-DNA complexes to be dictated by an interplay between pH and ionic strength. Based on the thermodynamic data measured, we discuss the feasibility of i-DNA formation in the context of conventional DNA sequences, while commenting on potential roles for this structural motif in biological regulatory mechanisms.     

Differential scanning calorimetry of thermal unfolding of the methionine repressor protein (MetJ) from Escherichia coli.

The thermal stability of the methionine repressor protein from Escherichia coli (MetJ) has been examined over a wide range of pH (pH 3.5-10) and ionic strength conditions using differential scanning calorimetry. Under reducing conditions, the transitions are fully reversible, and thermograms are characteristic of the cooperative unfolding of a globular protein with a molecular weight corresponding to the MetJ dimer, indicating that no dissociation of this dimeric protein occurs before unfolding of the polypeptide chains under most conditions. In the absence of reducing agent, repeated scans in the calorimeter show only partial reversibility, though the thermodynamic parameters derived from the first scans are comparable to those obtained under fully reversible conditions. The protein is maximally stable (Tm 58.5 degrees C) at about pH 6, close to the estimated isoelectric point, and stability is enhanced by increasing ionic strength in the range I = 0.01-0.4 M. The average calorimetric transition enthalpy (delta Hm) for the dimer is 505 +/- 28 kJ mol-1 under physiological conditions (pH 7, I = 0.125, Tm = 53.2 degrees C) and shows a small temperature dependence which is consistent with an apparent denaturational heat capacity change (delta Cp) of about +8.9 kJ K-1 mol-1. The effects of both pH and ionic strength on the transition temperature and free energy of MetJ unfolding are inconsistent with any single amino acid contribution and are more likely the result of more general electrostatic interactions, possibly including significant contributions from electrostatic repulsion between the like-charged monomers which can be modeled by a Debye-Hückel screened potential.     

Macromolecular binding equilibria in the lac repressor system: studies using high-pressure fluorescence spectroscopy

High hydrostatic pressure coupled with fluorescence polarization has been used to investigate protein subunit interactions and protein-operator association in lac repressor labeled with a long-lived fluorescent probe. On the basis of observation of a concentration-dependent sigmoidal decrease in the dansyl fluorescence polarization, we conclude that application of high hydrostatic pressure results in dissociation of the lac repressor tetramer. The 2-fold decrease in the rotational relaxation time and the high-pressure plateau are consistent with a tetramer to dimer transition. The volume change for tetramer dissociation to dimer is -82 +/- 5 mL/mol. The dissociation constant calculated from the data taken at 4.5 degrees C is 4.3 +/- 1.3 nM. The tetramer dissociation constant increases by a factor of 3 when the temperature is raised from 4.5 to 21 degrees C. A very small effect of inducer binding on the subunit dissociation is observed at 4.5 degrees C; the Kd increases from 4.5 to 7.1 nM. At 21 degrees C, however, inducer binding stabilizes the tetramer by approximately 0.8 kcal/mol. Pressure-induced monomer formation is indicated by the curves obtained upon raising the pH to 9.2. The addition of IPTG shifts the pressure transition to only slightly higher pressures at this pH, indicating that the stabilization of the tetramer by inducer is not as marked as that observed at pH 7.1. From the decrease in the polarization of the dansyl repressor-operator complexes, we also conclude that the application of pressure results their dissociation and that the volume change is large in absolute value (approximately 200 mL/mol). The lac repressor-operator complex is more readily dissociated upon the application of pressure than the tetramer alone, indicating that operator binding destabilizes the lac repressor tetramer.     

Stability mutants of staphylococcal nuclease: large compensating enthalpy-entropy changes for the reversible denaturation reaction

By use of intrinsic fluorescence to determine the apparent equilibrium constant Kapp as a function of temperature, the midpoint temperature Tm and apparent enthalpy change delta Happ on reversible thermal denaturation have been determined over a range of pH values for wild-type staphylococcal nuclease and six mutant forms. For wild-type nuclease at pH 7.0, a Tm of 53.3 +/- 0.2 degrees C and a delta Happ of 86.8 +/- 1.4 kcal/mol were obtained, in reasonable agreement with values determined calorimetrically, 52.8 degrees C and 96 +/- 2 kcal/mol. The heat capacity change on denaturation delta Cp was estimated at 1.8 kcal/(mol K) versus the calorimetric value of 2.2 kcal/(mol K). When values of delta Happ and delta Sapp for a series of mutant nucleases that exhibit markedly altered denaturation behavior with guanidine hydrochloride and urea were compared at the same temperature, compensating changes in enthalpy and entropy were observed that greatly reduce the overall effect of the mutations on the free energy of denaturation. In addition, a correlation was found between the estimated delta Cp for the mutant proteins and the d(delta Gapp)/dC for guanidine hydrochloride denaturation. It is proposed that both the enthalpy/entropy compensation and this correlation between two seemingly unrelated denaturation parameters are consequences of large changes in the solvation of the denatured state that result from the mutant amino acid substitutions.     

Thermodynamic studies of the core histones: stability of the octamer subunits is not altered by removal of their terminal domains.

We have investigated the role of the labile terminal domains of the core histones on the stability of the subunits of the protein core of the nucleosome by studying the thermodynamic behavior of the products of limited trypsin digestion of these subunits. The thermal stabilities of the truncated H2A-H2B dimer and the truncated (H3-H4)/(H3-H4)(2) system were studied by high-sensitivity differential scanning calorimetry and circular dichroism spectroscopy. The thermal denaturation of the truncated H2A-H2B dimer at pH 6.0 and low ionic strength is centered at 47.3 degrees C. The corresponding enthalpy change is 35 kcal/mol of 11.5 kDa monomer unit, and the heat capacity change upon unfolding is 1.2 kcal/(K mol of 11.5 kDa monomer unit). At pH 4.5 and low ionic strength, the truncated (H3-H4)/(H3-H4)(2) system, like its full-length counterpart, is quantitatively dissociated into two truncated H3-H4 dimers. The thermal denaturation of the truncated H3-H4 dimer is characterized by the presence of a single calorimetric peak centered at 60 degrees C. The enthalpy change is 25 kcal/mol of 10 kDa monomer unit, and the change in heat capacity upon unfolding is 0.5 kcal/(K mol of 10 kDa monomer unit). The thermal stabilities of both types of truncated dimers exhibit salt and pH dependencies similar to those of the full-length proteins. Finally, like their full-length counterparts, both truncated core histone dimers undergo thermal denaturation as highly cooperative units, without the involvement of any significant population of melting intermediates. Therefore, removal of the histone "tails" does not generally affect the thermodynamic behavior of the subunits of the core histone complex, indicating that the more centrally located regions of the histone fold and the extra-fold structured elements are primarily responsible for their stability and responses to parameters of their chemical microenvironment.     

Energetics of myo-inositol hexasulfate binding to human acidic fibroblast growth factor effect of ionic strength and temperature.

The binding of myo-inositol hexasulfate to an N-terminal truncated 132-amino-acid human acidic fibroblast growth factor form was studied by isothermal titration calorimetry. The technique yields values for the enthalpy change and equilibrium constant, from which the Gibbs energy and entropy change can also be calculated. Experiments in different buffers and pH values show that the proton balance in the reaction is negligible. Experiments at pH 7.0 in the presence of 0.2-0.6 M NaCl showed that the enthalpy and Gibbs energy changes parallel behaviour with ionic strength change, with values in the -21 to -11 kJ x mol(-1) range in the first case and in the -31 to -22 kJ x mol(-1) range in the second. No dependence of entropy on ionic strength was found, with a constant value of approximately 35 J x K(-1) x mol(-1) at all ionic strengths studied. The results can be interpreted in molecular terms by a model in which competitive binding of 3-4 chloride ions to the myo-inositol-binding site is assumed. Isothermal titration calorimetry was also performed at different temperatures and yielded a value of -142+/-13 J x K(-1) x mol(-1) for the heat-capacity change at pH 7.0 and 0.4 M NaCl. Using different parametric equations in the literature, changes on ligand binding in the range -100 to -200 A2 in solvent-accessible surface areas, both polar and apolar, were calculated from thermodynamic data. These values suggest a negligible overall conformational change in the protein when the ligand binds and agree closely with calculations performed with NMR structural data, in which it is shown that the most important negative change in total solvent-accessible surface area occurs in the amino acids Ile56, Gln57, Leu58 and Leu149, in the high-affinity receptor-binding region of the protein.     

Weak protein-protein interactions are sufficient to drive assembly of hepatitis B virus capsids

Hepatitis B virus (HBV) is an enveloped DNA virus with a spherical capsid (or core). The capsid is constructed from 120 copies of the homodimeric capsid protein arranged with T = 4 icosahedral symmetry. We examined in vitro assembly of purified E. coli expressed HBV capsid protein. After equilibration, concentrations of capsid and dimer were evaluated by size exclusion chromatography. The extent of assembly increased as temperature and ionic strength increased. The concentration dependence of capsid assembly conformed to the equilibrium expression: K(capsid) = [capsid]/[dimer](120). Given the known geometry for HBV capsids and dimers, the per capsid assembly energy was partitioned into energy per subunit-subunit contact. We were able to make three major conclusions. (i) Weak interactions (from -2.9 kcal/mol at 21 degrees C in low salt to -4.4 kcal/mol at 37 degrees C in high salt) at each intersubunit contact result in a globally stable capsid; weak intersubunit interactions may be the basis for the phenomenon of capsid breathing. (ii) HBV assembly is characterized by positive enthalpy and entropy. The reaction is entropy-driven, consistent with the largely hydrophobic contacts found in the crystal structure. (iii) Increasing NaCl concentration increases the magnitude of free energy, enthalpy, and entropy, as if ionic strength were increasing the amount of hydrophobic surface buried by assembly. This last point leads us to suggest that salt acts by inducing a conformational change in the dimer from an assembly-inactive form to an assembly-active form. This model of conformational change linked to assembly is consistent with immunological differences between dimer and capsid.     

Enthalpy and heat capacity changes for formation of an oligomeric DNA duplex: interpretation in terms of coupled processes of formation and association of single-stranded helices.

The thermodynamics of self-assembly of a 14 base pair DNA double helix from complementary strands have been investigated by titration (ITC) and differential scanning (DSC) calorimetry, in conjunction with van't Hoff analysis of UV thermal scans of individual strands. These studies demonstrate that thermodynamic characterization of the temperature-dependent contributions of coupled conformational equilibria in the individual "denatured" strands and in the duplex is essential to understand the origins of duplex stability and to derive stability prediction schemes of general applicability. ITC studies of strand association at 293 K and 120 mM Na+ yield an enthalpy change of -73 +/- 2 kcal (mol of duplex)-1. ITC studies between 282 and 312 K at 20, 50, and 120 mM Na+ show that the enthalpy of duplex formation is only weakly salt concentration-dependent but is very strongly temperature-dependent, decreasing approximately linearly with increasing temperature with a heat capacity change (282-312 K) of -1.3 +/- 0.1 kcal K-1 (mol of duplex)-1. From DSC denaturation studies in 120 mM Na+, we obtain an enthalpy of duplex formation of -120 +/- 5 kcal (mol of duplex)-1 and an estimate of the corresponding heat capacity change of -0.8 +/- 0.4 kcal K-1 (mol of duplex)-1 at the Tm of 339 K. van't Hoff analysis of UV thermal scans on the individual strands indicates that single helix formation is noncooperative with a temperature-independent enthalpy change of -5.5 +/- 0.5 kcal at 120 mM Na+. From these observed enthalpy and heat capacity changes, we obtain the corresponding thermodynamic quantities for two fundamental processes: (i) formation of single helices from disordered strands, involving only intrastrand (vertical) interactions between neighboring bases; and (ii) formation of double helices by association (docking) of single helical strands, involving interstrand (horizontal and vertical) interactions. At 293 K and 120 mM Na+, we calculate that the enthalpy change for association of single helical strands is approximately -64 kcal (mol of duplex)-1 as compared to -210 kcal (mol of duplex)-1 calculated for duplex formation from completely unstructured single strands and to the experimental ITC value of -73 kcal (mol of duplex)-1. The intrinsic heat capacity change for association of single helical strands to form the duplex is found to be small and positive [ approximately 0.1 kcal K-1 (mol of duplex)-1], in agreement with the result of a surface area analysis, which also predicts an undetectably small heat capacity change for single helix formation.     

Low-affinity platelet factor 4 1H NMR derived aggregate equilibria indicate a physiologic preference for monomers over dimers and tetramers

Low-affinity platelet factor 4 (LA-PF4), unlike another related, sequentially homologous (about 50%) platelet-specific protein, platelet factor 4 (PF4), is an active mitogenic and chemotactic agent. PF4 exhibits a high binding affinity for heparin, while LA-PF4 does not. Both PF4 and LA-PF4 can exist in dimer and tetramer aggregate states. Equilibrium constants for PF4 aggregation have recently been estimated from fractional populations derived from proton nuclear magnetic resonance (NMR) integrals assigned to resonances in monomer, dimer, and tetramer states [Mayo & Chen (1989) Biochemistry 28, 9469]. On a 500-MHz NMR time scale, relatively slow exchange among LA-PF4 aggregate species has also allowed Tyr 15 ring proton resonances to be assigned for monomer, dimer, and tetramer states in LA-PF4. As a function of pH and ionic strength, equilibrium association constants for LA-PF4 dimer (KD) and tetramer (KT) formation have been estimated from Tyr 15 ring proton resonance integrals. At low ionic strength, KD reaches a minimum value of 12 M-1 at pH 3 where KT is at its maximum value of 1.6 x 10(5) M-1. At pH 4.1, KD and KT have the same value, 1.1 x 10(3) M-1, which is the minimum value for KT. KD plateaus off to its maximum value of 2.2 x 10(4) M-1 by pH 5.5. These values are significantly lower than those for PF4. Analysis of the pH dependence of KD and KT suggests that electrostatic interactions probably among Glu/Asp and Lys/Arg side chains form the predominant force in the monomer-monomer binding process, i.e., KD, while like-charge repulsion due to proximal, intersubunit Glu/Asp residues decreases KT as the pH is raised. At pH 7 and low ionic strength, the dimer state is highly favored over the tetramer state. Elevating the solvent ionic strength at pH 7 destabilizes the dimer state. Under these more physiologic conditions, i.e., pH 7 and 0.1-0.2 M NaCl, LA-PF4 monomers are highly favored over dimers and tetramers. For PF4 under similar solvent conditions, tetramers predominate. Differences in biological activities between these homologous platelet-specific proteins may be the result, at least in part, of differing aggregation properties. The biologically active state for PF4 is tetramer, while for LA-PF4 it is monomer. Quaternary structure may, therefore, account for strong heparin binding in PF4, most likely by presenting a more favorable structural matrix for effective glycosaminoglycan interactions.     

The pH-dependent stability of wild-type and mutant transthyretin oligomers

A reduction in pH is known to induce the disassociation of the tetrameric form of transthyretin and favor the formation of amyloid fibers. Using continuum electrostatic techniques, we calculate the titration curves and the stability of dimer and tetramer formation of transthyretin as a function of pH. We find that the tetramer and the dimer become less stable than the monomer as the pH is lowered. The free energy difference is 13.8 kcal/mol for dimer formation and 27 kcal/mol for tetramer formation, from the monomers, when the pH is lowered from 7 to 3.9. Similar behavior is observed for both the wild-type and the mutant protein. Certain residues (namely Glu-72, His-88, His-90, Glu-92, and Tyr-116), play an important role in the binding process, as seen by the considerable pK(1/2) change of these residues upon dimer formation.     

The monomer -- dimer association of rabbit lver aryl sulfatase A and its relationship to the anomalous kinetics.

The polymerization of aryl sulfatase A (aryl sulfate sulfohydrolase, EC 3.1.6.1) has been studied by frontal gel chromatography on Sephadex G-200 and Bio-Gel A-5m under various conditions of pH, ionic strength, and temperature. The aryl sulfatase A molecule exists as a monomer and as a dimer at pH 7.5 and pH 4.5, respectively. The extent of dissociation is markedly pH-, protein concentration-, and ionic strength-dependent. Only a small effect of temperature was observed. The enthalpy change (ΔH^o) for the dissociation was ?2.5 ± 1 kcal/mol at pH 5.5–5.6, and the entropy change for dissociation of the enzyme dimer to two monomeric units was ?47 cal mol^?1 deg^?1. Sulfate ion has little effect on the extent of dissociation of the enzyme at pH 5.6. The present studies suggest that the dissociation of rabbit liver aryl sulfatase A is regulated by the ionization of amino acid residues whose apparent pK is between pH 5 and 6. The driving force for the association of the subunits of the enzyme is primarily ionic and/or ionic/hydrogen bond formation. The small enthalpy change and the fact that dissociation is strongly favored by an increase in the ionic strength suggest that hydrophobic interactions play only a minor role in stabilizing the dimeric quaternary structure relative to the monomeric state. The monomeric form of the enzyme exhibits the anomalous kinetics often observed with sulfatase A but the dimer does not show anomalous kinetics. Since aryl sulfatase A is probably in the dimeric form in the lysosome, the anomalous kinetics of the enzyme are unlikely to be of physiological importance in the intact lysosome.     

Binding of reduced and oxidized nicotinamide adenine dinucleotide to pig heart supernatant malate dehydrogenase.

The association reactions of NADH and NAD+ with dimeric pig heart supernatant malate dehydrogenase (s-MDH) have been measured at pH 6 and 8 by calorimetric and fluorescence methods, and the thermodynamic parameters describing these reactions have been evaluated. Coenzyme binding is associated with the uptake of 0.55 mol of H+/mol of NADH at pH 8 and 0.19 mol of H+ at pH 6. No significant effect of NAD+ binding on proton binding was observed. Increase in ionic strength strongly affects the free energies of binding of NAD+ and NADH. No cooperativity was observed in the enthalpy or free energy changes for binding of NAD+ or NADH. The differences in free energy of binding of NAD+ and NADH and the effect of pH on binding of NADH are entropy based. These effects are interpreted as reflecting a small number of interactions within the active site that are predominantly ionic.     

The energetics of HMG box interactions with DNA: thermodynamic description of the target DNA duplexes

The thermal properties and energetics of formation of 10, 12 and 16 bp DNA duplexes, specifically interacting with the HMG box of Sox-5, have been studied by isothermal titration calorimetry (ITC) and differential scanning calorimetry (DSC). DSC studies show that the partial heat capacity of these short duplexes increases considerably prior to the cooperative process of strand separation. Direct extrapolation of the pre and post-transition heat capacity functions into the cooperative transition zone suggests that unfolding/dissociation of strands results in no apparent heat capacity increment. In contrast, ITC measurements show that the negative enthalpy of complementary strand association increases in magnitude with temperature rise, implying that strand association proceeds with significant decrease of heat capacity. Furthermore, the ITC-measured enthalpy of strand association is significantly smaller in magnitude than the enthalpy of cooperative unfolding measured by DSC. To resolve this paradox, the heat effects upon heating and cooling of the separate DNA strands have been measured by DSC. This showed that cooling of the strands from 100 degrees C to -10 degrees C proceeds with significant heat release associated with the formation of intra and inter-molecular interactions. When the enthalpy of residual structure in the strands and the temperature dependence of the heat capacity of the duplexes and of their unfolded strands have been taken into account, the ITC and DSC results are brought into agreement. The analysis shows that the considerable increase in heat capacity of the duplexes with temperature rise is due to increasing fluctuations of their structure (e.g. end fraying and twisting) and this effect obscures the heat capacity increment resulting from the cooperative separation of strands, which in fact amounts to 200(+/-40) JK(-1) (mol bp)(-1). Using this heat capacity increment, the averaged standard enthalpy, entropy and Gibbs energy of formation of fully folded duplexes from fully unfolded strands have been determined at 25 degrees C as -33(+/-2) kJ (mol bp)(-1), -93(+/-4) J K(-1) (mol bp)(-1) and -5.0(+/-0.5) kJ (mol bp)(-1), respectively.     

Kinetics and thermodynamics of dimer formation and dissociation for a recombinant humanized monoclonal antibody to vascular endothelial growth factor.

The recombinant humanized antibody (rhuMAb) VEGF has a high affinity for vascular endothelial growth factor and is currently being evaluated in clinical trials as a cancer therapeutic. Under acidic pH and low ionic strength conditions, the antibody was predominantly present as monomer. Under physiological conditions, the appearance of significant amounts of a noncovalent, reversible dimer were observed by size-exclusion chromatography. The kinetics and thermodynamics of the reversible self-association for rhuMAb VEGF monomer were investigated as a function of pH, temperature, and ionic strength by size-exclusion chromatography using the concentration jump method. The rate constant for dimer formation ranged 23-112 M(-)(1) min(-)(1) under the conditions studied, values that are significantly lower than those reported in the literature for other proteins that self-associate. The rate constant for dissociation ranged 0.0039-0.021 min(-)(1). Gibbs' free energies, enthalpies, entropies, and activation energies were determined and revealed that dimer formation is optimal at pH 7.5-8.0, which may be reflective of charge shielding occurring near the pI of the protein. There was a negative change in entropy for dissociation (values from -18.1 to -12.8 cal/mol K). In the presence of D(2)O or 1 M NaCl, dimerization was enhanced. The results of the kinetic and thermodynamic analysis of this study indicate that rhuMAb VEGF dimerization occurs primarily through hydrophobic interactions.