Heat of denaturation of lysozyme

The enthalpy of denaturation of lysozyme was determined by measuring the heat, capacity of an aqueous solution of this protein in the vicinity of the transition temperature, 46 °C at pH 1. Within experimental error the calorimetric, heat (56 ± 8 kcal/mole) was found to agree with the van't Hoff transition enthalpy (63 ± 6 kcal/mole) determined from optical rotation measurements as a function of temperature. This indicates that denaturation of this protein can be interpreted in terms of a two-state model. Successive measurements of the same sample showed, from several lines of evidence, that the transition was about 80% reversible for the particular environmental conditions and thermal history involved in the study.     

The enthalpy of oxidation of flavin mononucleotide

The oxidation enthalpy of reduced flavin mononucleotide at pH 7.0 in 0.2 m phosphate buffer has been studied by determining the heat associated with the reaction: FMNH₂ + 2 Fe(CN)^?3₆ ? FMN + 2 Fe(CN)^?4₆ + 2 H⁺. (a) (The quinone, semiquinone, and hydroquinone forms of FMN are represented as FMN, FMNH, and FMNH₂, respectively.) Calorimetric experiments were performed in a flow microcalorimeter which was modified to prevent sample contamination by oxygen. The enthalpy observed for reaction (a), after correction for dilution and buffer effects, was ?39.2 ± 0.4 kcal (mole FMNH₂)^?1 at 25 °C. The potential difference, ΔE′, developed by reaction (a) was determined potentiometrically and corresponded to a free energy change, ΔG′, of ?30.3 kcal (mole FMNH₂)^?1. The resulting entropy change, ΔS′, was thus calculated to be ?29.8 e.u. Reaction (a) was also studied at temperatures of 7 °C and 35.5 °C. ΔC_p′ for the reaction was calculated as ?155 ± 18 cal deg^?1 (mole FMNH₂)^?1 at 20 °C. ΔH′ for the reaction (b), FMNH₂ ? FMN + H₂, (b) was calculated as +14.2 ± 0.7 kcal mole^?1 at 25 °C, relative to the enthalpy of the hydrogen electrode being identically equal to zero at all values of pH and temperature. The free energy at pH 7.0 for reaction (b), calculated from the potential was found to be ?9.7 kcal mole^?1, which resulted in an entropy for reaction (b) of 80.2 e.u. A thermal titration of reaction (a) was used to calculate the thermodynamic parameters for the formation of semiquinone dimer according to the reaction FMNH₂ + FMN ? (·FMNH)₂. (c) The free energy, enthalpy, and entropy changes for reaction (c) were estimated to be ?6.1 kcal mole^?1, ?7 kcal mole^?1, and ?3 e.u., respectively.     

Calorimetric investigations of the helix-coil conversion of phenylalaninespecific transfer ribonucleic acid

The enthalpy of the helix-coil conversion of phenylalaninespecific transfer ribonucleic acid from brewer's yeast (tRNA^Phe_{brewer's yeast}) has been measured using both an LKB 10700-2 batch miciocalorimeter and an adiabatic differential scanning calorimeter. In the mixing calorimeter the conversion from coil to helix was induced by mixing a tRNA^Phe solution with a solution containing an excess of MgSO₄. We measured the enthalpy of this reaction stepwise in the temperature range from +9 to +60° C. For the enthalpy of folding of tRNA^Phe from coil to helix this method yielded the remarkably high value of ?310 $\text{kcal}\text{mole}$ of tRNA^Phe. With the differential scanning calorimeter in which the helix-coil conversion is simply induced by raising the temperature we found a value of +240 $\text{kcal}\text{mole}$ of tRNA^Phe at a Tm value of 76° C and a value of +200 $\text{kcal}\text{mole}$ of tRNA^Phe at a T_m value of 50° C. A comparison of the apparent van't Hoff enthalpies with the calorimetrically measured enthalpies shows, that the cooperativity of the system increases continually with rising melting temperatures - which are achieved by increasing Mg²⁺ concentrations - reaching a constant value at about 57° C. Above this temperature value the thermodynamic behaviour of the helix-coil conversion of tRNA^Phe may be approximately described by the model of an all-or-none process.     

Experimental thermodynamics of the helix--random coil transition. 3. Determination of the transition enthalpies of the helical complexes poly(I+C) and poly I in solution

The enthalpies of the helix-coil transitions of the ordered polynucleotide systems of poly(inosinic acid)–poly(cytidylic acid) [poly(I + C)], (helical duplex), and of poly (inosinic acid) [poly(I + I + I)], (proposed secondary structure: a triple-stranded helical complex), were determined by using an adiabatic twin-vessel differential calorimeter. Measuring the temperature course of the heat capacity of the aqueous polymer solutions, the enthalpy values for the dissociation of the helical duplex poly (I + C) and the three-stranded helical complex poly(I + 1 + 1), respectively, were obtained by evaluating the additional heat capacity involved in the conformational change of the polynucleotide system in the transition range. The ΔH values of the helix-coil transition of poly (I + C) resulting from the analysis of the calorimetric measurements vary between the limits 6.5 ± 0.4 kcal/mole (I + C) and 8.4 ± 0.4 kcal/mole (I + C). depending on the variation of the cation concentration ranging from 0.063 mole cations kg H₂O to 1.003 mole cations/kg H₂O. The calorimetric investigation of an aqueous poly I solution (cation concentration 1.0 mole/kg H₂O) yielded the enthalpy value ΔH = 1.9 ± 0.4 kcal/mole (I), a result which has been interpreted qualitatively following current models of inter- and intramolecular forces of biologically significant macromolecules. Additional information on the transition behavior of poly(I+ C)Was obtained by ultraviolet and infrared absorption measurements.     

Reversible thermal unfolding of thermostable phosphoglycerate kinase. Thermostability associated with mean zero enthalpy change.

Reversible thermal denaturation of phosphoglycerate kinases (E.C. 2.7.2.3) from an extremely thermophilic bacterium Thermus thermophilus and from yeast were studied by measuring their circular dichroism and fluorescence intensity. The thermal denaturation in the presence of guanidine hydrochloride was completely reversible. The thermodynamic parameters for the reaction were calculated based on a two-state mechanism. The free energy changes in denaturation at 25 °C in the absence of denaturant were estimated to be 11.87 ± 0.21 kcal/mol for T. thermophilus phosphoglycerate kinase and 5.33 ± 0.13 kcal/mol for that of yeast. It was found that the van't Hoff plot of the equilibrium constant for the denaturation reaction was almost independent of temperature in the temperature range 0 to 60 °C for T. thermophilus phosphoglycerate kinase, while that of yeast phosphoglycerate kinase was strongly temperature-dependent as reported for other thermolabile proteins. The enthalpy change in denaturation varies from 0.03 to 6.2 kcal/mol (0 to 60 °C) for T. thermophilus phosphoglycerate kinase and from ?27 to 31 kcal/mol (10 to 35 °C) for yeast enzyme. The entropy change in denaturation varies from ?3.9 to 21 entropy units for T. thermophilus phosphoglycerate kinase and ?96 to 104 entropys unit (10 to 35 °C) for yeast enzyme. The heat capacity change in denaturation is between 1.4 and 63 cal/deg. mol for the thermophile enzyme and between 1530 and 1750 cal/deg. mol for yeast enzyme at 20 °C. The observations that the enthalpy changes as well as the heat capacity changes in denaturation of the thermophilic enzyme were negligibly small suggest an explanation for the unusual stability to heat of T. thermophilus phosphoglycerate kinase.We also propose three possible mechanisms for the thermostability of proteins in general.     

Calorimetric,density and circular dichroism studies of the reversible structural transition in Pf1 filamentous bacterial virus

The macromolecular structural transition of Pf1 filamentous bacterial virus detected by X-ray diffraction analysis has been studied in virus solutions by density, circular dichroism, and microcalorimetric measurements. The reversible structural change occurring between 5 °C and 25 °C has a calorimetrically determined transition enthalpy ΔH_t,cal of 14·5 ± 1.5 kJ (mol protein)^?1. The transition curves resulting from the density, circular dichroism, and calorimetric measurements have been analysed in terms of a two-state process to extract the van't Hoff enthalpy. Comparison of the effective transition enthalpy and the calorimetric ΔH_t,cal values gives about 26 protein subunits as the size of the co-operative unit. Parallel heat capacity and density measurements on fd virus show no such transition, in agreement with X-ray diffraction studies.     

A calorimetric investigation of single stranded base stacking in the ribo-oligonucleotide A7

Differential scanning calorimetry has been employed to determine the energy change associated with single stranded base stacking in the ribo-oligonucleotide A₇. A total enthaipy change of 20.3 kcal (mole of heptamer)^?1 was measured. This corresponds to 2.9 kcal (mole of adenine)^?1 or 3.4 kcal (mole of A-A stack)^?1 if one assumes that all six stacking interactions are energetically equivalent. These results represent the first direct determination of this important parameter for a ribo-oligonucleotide. It is noted that the calorimetrically determined value reported here is considerably lower than any of the previously published van 't Hoff enthalpies but is consistent with values that can be derived from other calorimetric data.     

Calorimetric determination of polymerization enthalpy for bacterial flagellin (Salmonella)

The polymerization of bacterial flagellin protein (Salmonella strain SJ814) into flagellar filaments has been found by direct calorimetric measurement to be $\text{exothermic}$ at 25° in .15M KCl, pH 6.8 with a ΔH of ?12.7 ± 0.6 kcal per mole of monomer polymerized. The calorimetric result at 25° contrasts sharply with the endothermic ΔH of +38 kcal/mole inferred from temperature dependence of the critical monomer concentration near 40°C. Comparison between these two values implies that unless a different mechanism of polymerization prevails at the two temperatures the heat capacity change for flagellin polymerization may be as large as 3.3 kcal/mole deg.     

Accounting for apparent deviations between calorimetric and van't Hoff enthalpies

Background

In theory, binding enthalpies directly obtained from calorimetry (such as ITC) and the temperature dependence of the binding free energy (van't Hoff method) should agree. However, previous studies have often found them to be discrepant.

Calorimetric and optical characterization of sickle cell hemoglobin gelation.

We have used two techniques to characterize the gelation of deoxyhemoglobin S, a high sensitivity heat-flow calorimeter to measure the heat of gelation and a simple light-transmission method to measure the optical birefringence resulting from the alignment of deoxyhemoglobin S fibers in the gel. A theory for the interpretation of the birefringence measurements is presented. We combine the results of the calorimetric and optical measurements with those of sedimentation experiments to obtain enthalpy changes for gelation. The enthalpy change obtained from scanning and isothermal calorimetric measurements (0.25 m-potassium phosphate, 0.05 m-sodium dithionite, pH 6.9) varies from 4000 to 2200 cal mol⁻¹ hemoglobin between 16 and 25 °C. There is a large apparent heat capacity change of −130 to −190 cal deg.⁻¹ mol⁻¹. The apparent enthalpy change estimated from solubility measurements and birefringence melting experiments is 2200 ± 500 cal mol⁻¹ in qualitative agreement with the calorimetric results. Analysis of the time dependence of the calorimetric and optical progress curves at 20 °C leads to a rough estimate of 1800 to 4000 and −800 to 1500 cal mol⁻¹ hemoglobin for the enthalpies of polymerization and alignment of fibers, respectively. The small magnitude of the observed enthalpy change is in accord with the view that no large conformational change takes place in the deoxyhemoglobin S molecule upon gelation.     

Calorimetric studies of oxyhemoglobin dissociation. I. Reaction of sodium dithionite with oxygen

Calorimetric studies of the reduction of free oxygen in solution by sodium dithionite are in agreement with a stoichiometry of 2 moles Na₂S₂O₄ per mole of oxygen. The reaction is biphasic with ΔH_t - 118±7 kcal mol^?1 (?494 ± 29 kJ mol^?1). The initial phase of the reaction proceeds with an enthalpy change of ca ?20 kcal (?84 kJ) and occurs when 0.5 moles of dithionite have been added per mole dioxygen present. This could be interpreted as the enthalpy change for the addition of a single electron to form the superoxide anion. Further reduction of the oxygen to water by one or more additional steps is accompanied by an enthalpy change of ca ?100 kcal (?418. 5 kJ). Neither of these reductive phases is consistent with the formation of hydrogen peroxide as an intermediate. The reduction of hydrogen peroxide by dithionite in 0.1 M phosphate buffer, pH 7.15, is a much slower process and with an enthalpy change of ca ? 74 kcal mol^?1 (?314 kJ mol^?1). Dissociation of oxyhemoglobin induced by the reduction of free oxygen tension with dithionite also shows a stoichiometry of 2 moles dithionite per mole oxygen present and an enthalpy change of ca. ?101 ±9 kcal mol^?1 (?423± 38 kJ mol^?1). The difference in the observed enthalpies (reduction of dioxygen vs. oxyhemoglobin) has been attributed to the dissociation of oxyhemoglobin, which is 17 kcal mol^?1 (71 kJ mol^?1).     

The effect of temperature on the self-association of S5 and on the association of S5 with S8 as determined by sedimentation equilibrium

Solutions of proteins S5 and S8 from the Escherichia coli 30 S ribosomal subunit have been examined by sedimentation equilibrium methods as a function of temperature for their behavior in solution as isolated components and in mixtures. The standard enthalpy and entropy at 4 °C for the isodesmic self-association of S5 were determined from a study over the temperature range of 3 to 33 °C to be 0.1 ± 0.9 kcal/mol and 18 ± 3 cal/(mol × deg), respectively. The protein S8 remained monomeric over the same range of temperature. The standard enthalpy and entropy at 4 °C for the association of S5 and S8 were determined on mixtures from a study over the temperature range of 3 to 27 °C to be ?0.4 ± 1.6 kcal/mol and 20 ± 6 cal/(mol × deg), respectively. Based on these values and the previously determined standard Gibbs free energies (S. H. Tindall and K. C. Aune, 1981, Biochemistry20, 4861–4866), the driving force for the self-association of S5 and the association of S5 with S8 could be interpreted as being derived from the expulsion of water upon ion pair formation at the interaction sites.     

Calorimetric and spectroscopic investigation of the helix-to-coil transition of the self-complementary deoxyribonucleotide ATGCAT

Differential scanning calorimetry and temperature-dependent uv spectroscopy are used to thermodynamically characterize the double-strand to single-strand transition of the self-complementary deoxyribo-oligonucleotide ATGCAT. The calorimetric experiments provide a value of 33.6 kcal (mol of double strand)^?1 for the transition between 10 and 90° C. In conjunction with available temperature-dependent nmr data (which reveals terminal base pair fraying), we attempt to define specifically those interactions to which the calorimetrically measured enthalpy change refers.Values of ΔH_V.H. (van 't Hoff enthalpy change) are derived from the spectroscopic and calorimetric data and compared with the ΔH obtained directly from the calorimetric experiment. This comparison reveals that the part of the thermally-induced transition that occurs between 10 and 90°C is well represented by a two-state process. It is noted that in assessing the applicability of the two-state model it is best to compare the ΔH_cal. with ΔH_V.H. obtained from the calorimetric rather than the spectroscopic data.     

Further studies on the temperature dependence of the binding of testosterone to human pregnancy plasma proteins

The binding of testosterone by pregnancy plasma proteins has been studied by a new equilibrium dialysis system. The temperature dependence on the association constant has been investigated and the enthalpy change ΔH and entropy change ΔS have been calculated.By a computer optimization program, the binding constant of the high affinity testosterone binding protein has been estimated from Scatchard plots. The binding reactions were carried out at 5°, 25° and 37° C. The corresponding values were 3.1.10 1.2.10⁹ and 7.2.10⁸ liter/mole. The resulting enthalpy and entropy changes were ?2.0 kcal/mole and 35.0 cal/(mole.degree) respectively.It can be concluded that the binding of testosterone to the specific binding protein is an exothermic reaction and is stabilized by hydrophobic binding forces.     

Stoichiometry determination for carbon monoxide binding to Rhodospirillum molischianum cytochrome c'

The stoichiometry of CO ligation to the dimer heme protein Rhodospirillum molischianum cytochrome c' is determined. We have recently measured the enthalpy change of CO ligation to this molecule by the van't Hoff method and found the value of -10.7 +/- 1.2 kcal/mol CO (aqueous) (Doyle, M. L., Weber, P. C., and Gill, S. J. (1985) Biochemistry 24, 1987-1991). In the present paper the enthalpy change of CO ligation, measured directly by titration calorimetry, is found to be -9.5 +/- 0.2 kcal/mol heme. Since the van't Hoff method gives the heat value in units/mole of CO and the calorimetric method gives the heat value in units/mole of heme, the stoichiometry of the reaction is given by the ratio of the two values and found to be 0.9 +/- 0.1, or within experimental error, one CO molecule bound per heme.     

Base stacking in the dinucleoside phosphate rapa.

The pH-induced unstacking of rRpA has been investigated by batch calorimetry and uv spectroscopy. Equilibrium uv melting curves confirmed that the adenine bases in rApA are stacked at pH7 but unstacked at pH 1.5. The enthalpy change accompanying this pH-induced unstacking is +2.65 kcal (mole of A-A stack)-1 as measured by batch calorimetry. This represents the first direct determination of this important parameter for a dinucleoside phosphate. It is noted that the calorimetrically determined value reported here is considerably lower than published van't Hoff enthalpies but is consistent with values that can be derived from calorimetric data on polymers.     

Significant discrepancies between van't Hoff and calorimetric enthalpies. II.

Isothermal calorimetric titration of 18-crown-6 ether with BaCl2 in pure aqueous solution over the temperature range 7-40 degrees C gives precise binding constants and enthalpy changes. Nonlinear least-squares fitting of the binding constants to the integrated van't Hoff equation, including a temperature-independent change in heat capacity, leads to van't Hoff enthalpies that differ significantly from the observed calorimetric enthalpies. This perplexing discrepancy appears at present to be very widely occurring.     

Calorimetric measurement of stepwise enthalpy changes for the binding of four oxygens to adult human hemoglobin

The successive enthalpy changes for the four steps of oxygen binding by diphosphoglycerate-free adult human hemoglobin have been measured by direct calorimetry at pH 7.4 and 6°. Average results in kcal/(mole O₂) are: ΔH₁ = ?25.1 ± 2.8; ΔH₂ = ?12.6 ± 3.0, ΔH₃ = ?12.5 ± 3.0, and ΔH₄ = ?10.1 ± 1.4. These results imply a substantial temperature dependence for the cooperativity of O₂ binding by the protein and generally resemble the van't Hoff results by Roughton $\text{et al}$. [Roy. Soc. of London Proc., $\text{B 144}$, 29 (1955)] for sheep hemoglobin at pH 9.1 and a temperature range of 2° to 19°.     

The conformation and aggregation of bovine β-casein A. II. Thermodynamics of thermal association and the effects of changes in polar and apolar interactions on micellization

A sedimentation analysis has been used to determine the proportion of protein present as monomer and aggregate in 0.5 and 1.0 g/dl solutions of β-casein A in pH 7 phosphate buffer over the temperature range 10–40°C. The amount and molecular weight of the aggregate increase with temperature; under the conditions used, the aggregation number (n) of β-casein is given approximately by n = 0.6t + 2 with t in degrees centigrade. The concentration of β-casein in monomeric and aggregated states at different temperatures is used to calculate the standard enthalpy of aggregation ΔH° (Van't Hoff) by assuming that β-casein undergoes a cooperative, two-state, micellization process; aggregation is an endothermic process and ΔH° = 66.0 ± 2.6 kJ mol^?1. Combination of this ΔH° with the amount of protein calculated to dissociate when 1 g/dl solutions are diluted isothermally to 0.5 g/dl gives the heat of dilution at various temperatures. These calculated heats of dilution are compared with the experimental values obtained by carrying out the same dilutions in a microcalorimeter. The heat of dilution decreases linearly with β-casein concentration, but the extrapolated zero-concentration values of 65.8 ± 1.6 kJ mol^?1 is the same as the Van't Hoff enthalpy. This agreement in the enthalpy values indicates that the micellization of β-casein occurs cooperatively. The effect of modifying the hydrophobic/hydrophilic balance of the system on the micellization of β-casein A has been investigated. The hydrophobic interaction between the protein molecules is decreased by removing the three C-terminal residues (Ileu Ileu Val) with carboxypeptidase-A. This modification drastically reduces the ability of the β-casein molecule to form micelles. Substitution of ²H₂O for H₂O at constant temperature perturbs the monomer–micelle equilibrium in favor of micelles because of enhanced hydrophobic interactions in the former solvent. The results are consistent with β-casein micellization involving a delicate balance of the hydrophobic forces favoring aggregation and electrostatic forces opposing it.     

Calorimetric investigation of binding of NADH to pig muscle lactate dehydrogenase

Thermal titrations have been performed to study the enthalpy of binding (Δ H_b) of the reduced coenzyme, NADH, to the pig muscle isoenzyme (M₄) of lactate dehydrogenase (EC 1.1.1.27). It has been shown that at 25°C, pH 7.0, in 0.2 M phosphate buffer Δ H_b is ?32.5 ± 1.5 kcal per mole of enzyme. The calorimetric titration data can be well represented within the limits of experimental error by a theoretical binding curve calculated on the assumption of four independent and identical binding sites.