The nature of the primary photochemical events in rhodopsin and isorhodopsin.

The nature of the primary photochemical events in rhodopsin and isorhodopsin is studied by using low temperature actinometry, low temperature absorption spectroscopy, and intermediate neglect of differential overlap including partial single and double configuration interaction (INDO-PSDCI) molecular orbital theory. The principal goal is a better understanding of how the protein binding site influences the energetic, photochemical, and spectroscopic properties of the bound chromophore. Absolute quantum yields for the isorhodopsin (I) to bathorhodopsin (B) phototransformation are assigned at 77 K by using the rhodopsin (R) to bathorhodopsin phototransformation as an internal standard (phi R----B = 0.67). In contrast to rhodopsin photochemistry, isorhodopsin displays a wavelength dependent quantum yield for photochemical generation of bathorhodopsin at 77 K. Measurements at seven wavelengths yielded values ranging from a low of 0.089 +/- 0.021 at 565 nm to a high of 0.168 +/- 0.012 at 440 nm. An analysis of these data based on a variety of kinetic models suggests that the I----B phototransformation encounters a small activation barrier (approximately 0.2 kcal mol-1) associated with the 9-cis----9-trans excited-state torsional-potential surface. The 9-cis retinal chromophore in solution (EPA, 77 K) has the smallest oscillator strength relative to the other isomers: 1.17 (all-trans), 0.98 (9-cis), 1.04 (11-cis), and 1.06 (13-cis). The effect of conformation is quite different for the opsin-bound chromophores. The oscillator strength of the lambda max absorption band of I is observed to be anomalously large (1.11) relative to the lambda max absorption bands of R (0.98) and B (1.07). The wavelength-dependent photoisomerization quantum yields and the anomalous oscillator strength associated with isorhodopsin provide important information on the nature of the opsin binding site. Various models of the binding site were tested by using INDO-PSDCI molecular orbital theory to predict the oscillator strengths of R, B, and I and to calculate the barriers and energy storage associated with the photochemistry of R and I for each model. Our experimental and theoretical investigation leads to the following conclusions: (a) The counterion (abbreviated as CTN) is not intimately associated with the imine proton in R, B, or I. The counterion lies underneath the plane of the chromophore in R and I, and the primary chromophore-counterion electrostatic interactions involve C15-CTN and C13-CTN. These interactions are responsible for the anomalous oscillator strength of I relative to R and B.(ABSTRACT TRUNCATED AT 400 WORDS)     

Free energy changes in ribonuclease A denaturation. Effect of urea, guanidine hydrochloride, and lithium salts

The unfolding of ribonuclease A by urea, guanidine hydrochloride, lithium perchlorate, lithium chloride, and lithium bromide has been followed by circular dichroic and difference spectral measurements. All three abnormal tyrosyl residues are normalized in urea and guanidine hydrochloride (delta epsilon 287 = -2700), only two are normalized in lithium bromide and lithium perchlorate (delta epsilon 287 = -1700), and only one is exposed in lithium chloride solutions (delta epsilon 287 = -700). The Gibbs energies are 4.7 +/- 0.1 kcal mol-1 for urea- and guanidine hydrochloride-denaturation, 3.8 +/- 0.2 kcal mol-1 for lithium perchlorate-denaturation, and 12.7 +/- 0.2 kcal mol-1 for lithium chloride- and lithium bromide-denaturation of ribonuclease A. The latter results suggest that the mechanism of the unfolding process in urea and guanidine hydrochloride is quite different from that in lithium salts.     

Photoacoustic calorimetric study of the conversion of rhodopsin and isorhodopsin to lumirhodopsin

The enthalpy and volume changes for the conversion of rhodopsin and isorhodopsin to lumirhodopsin have been investigated by time-resolved photoacoustic calorimetry. The conversion of rhodopsin to lumirhodopsin is endothermic by 3.9 +/- 5.9 kcal/mol and is accompanied by an increase in volume of 29.1 +/- 0.8 mL/mol. The lumirhodopsins produced from rhodopsin and isorhodopsin are energetically equivalent.     

Thermodynamic study of yeast phosphoglycerate kinase

Enthalpies of binding of MgADP, MgATP, and 3-phosphoglycerate to yeast phosphoglycerate kinase have been determined by flow calorimetry at 9.95-32.00 degrees C. Combination of these data with published dissociation constants [Scopes, R.K. (1978) Eur. J. Biochem. 91, 119-129] yielded the following thermodynamic parameters for the binding of 3-phosphoglycerate at 25 degrees C: delta Go = -6.76 +/- 0.11 kcal mol-1, delta H = 3.74 +/- 0.08 kcal mol-1, delta So = 35.2 +/- 0.6 cal K-1 mol-1, and delta Cp = 0.12 +/- 0.32 kcal K-1 mol-1. The thermal unfolding of phosphoglycerate kinase in the absence and presence of the ligands listed above was studied by differential scanning calorimetry. The temperature of half-completion, t 1/2, of the denaturation and the denaturational enthalpy are increased by the binding of the ligands, the increase in t 1/2 being a manifestation of Le Chatelier's principle and that in enthalpy reflecting the enthalpy of dissociation of the ligand. Only one denaturational peak was observed under all conditions, and in contrast with the case of yeast hexokinase [Takahashi, K., Casey, J.L., & Sturtevant, J.M. (1981) Biochemistry 20, 4693-4697], no definitive evidence for the unfolding of more than one domain was obtained.     

Energy storage in the primary step of the photocycle of bacteriorhodopsin.

A pulsed-dye laser low temperature photocalorimeter is used to study the enthalpy differences between light-adapted bacteriorhodopsin (bR568) and its primary photoproduct (K) at 77 K. A key feature of our experimental method is the use of the laser-induced photostationary state as an internal reference. Analyses of the forward (bR leads to K), reverse (K leads to bR), and mixed (bR in equilibrium K) photoreactions were carried out to measure delta H12 = EK - EbR. All three experiments yielded identical values of delta H12 within experimental error (delta Have12 = 15.8 +/- 2.5 kcal mol-1). Accordingly, the primary event in the photocycle of light-adapted bacteriorhodopsin stores approximately 30% of the absorbed photon energy at the 568-nm absorption maximum. We observe that the quantum yields phi f1(bR leads to K) and phi r2(K leads to bR) add up to unity within experimental error: phi f1 + phi r2 = 1.02 +/- 0.19 for phi f1 in the range 0.28-0.33. A theoretical analysis of energy storage in K suggests that at least one-half of the enthalpy difference between K and bR is associated with charge separation accompanying chromophore isomerization.     

Thermodynamics of ribonuclease T1 denaturation.

Differential scanning calorimetry has been used to investigate the thermodynamics of denaturation of ribonuclease T1 as a function of pH over the pH range 2-10, and as a function of NaCl and MgCl2 concentration. At pH 7 in 30 mM PIPES buffer, the thermodynamic parameters are as follows: melting temperature, T1/2 = 48.9 +/- 0.1 degrees C; enthalpy change, delta H = 95.5 +/- 0.9 kcal mol-1; heat capacity change, delta Cp = 1.59 kcal mol-1 K-1; free energy change at 25 degrees C, delta G degrees (25 degrees C) = 5.6 kcal mol-1. Both T1/2 = 56.5 degrees C and delta H = 106.1 kcal mol-1 are maximal near pH 5. The conformational stability of ribonuclease T1 is increased by 3.0 kcal/mol in the presence of 0.6 M NaCl or 0.3 M MgCl2. This stabilization results mainly from the preferential binding of cations to the folded conformation of the protein. The estimates of the conformational stability of ribonuclease T1 from differential scanning calorimetry are shown to be in remarkably good agreement with estimates derived from an analysis of urea denaturation curves.     

NMR study of the alkaline isomerization of ferricytochrome c

The pH-induced isomerization of horse heart cytochrome c has been studied by 1H NMR. We find that the transition occurring in D2O with a pKa measured as 9.5 +/- 0.1 is from the native species to a mixture of two basic forms which have very similar NMR spectra. The heme methyl peaks of these two forms have been assigned by 2D exchange NMR. The forward rate constant (native to alkaline cytochrome c) has a value of 4.0 +/- 0.6 s-1 at 27 degrees C and is independent of pH; the reverse rate constant is pH-dependent. The activation parameters are delta H not equal to = 12.8 +/- 0.8 kcal.mol1, delta S not equal to = -12.9 +/- 2.0 e.u. for the forward reaction and delta H not equal to = 6.0 +/- 0.3 kcal.mol-1, delta S not equal to = -35.1 +/- 1.3 e.u. for the reverse reaction (pH* = 9.28). delta H degree and delta S degree for the isomerization are 6.7 +/- 0.6 kcal.mol-1 and 21.9 +/- 1.0 e.u., respectively.     

Roles of ring C oxygens in the binding of colchicine to tubulin

The roles of the oxygens in ring C of colchicine in its binding to tubulin were probed by a study of the interactions of two allocolchicine biphenyl analogues, 2,3,4,4'-tetramethoxy-1,1'-biphenyl (TMB) and 2,3,4-trimethoxy-4'-acetyl-1,1'-biphenyl (TKB), the first one containing a methoxy group in position 4', the second a keto group. Both analogues were found to bind specifically to the colchicine-binding site on tubulin in a rapidly reversible equilibrium. The standard free energies of binding at 25 degrees C were delta G zero (TKB) = 7.19 +/- 0.11 kcal mol-1 and delta G zero (TMB) = -6.76 +/- 0.22 kcal mol-1. The binding of TKB induced the same perturbation in protein circular dichroism at 220 nm as colchicine and allocolchicine, as well as quenching of protein tryptophan fluorescence. Binding of TMB did not affect the protein CD spectrum within experimental error and induced only a marginal quenching of protein fluorescence. Comparison with the binding properties of allocolchicine and its des(ring B) analogue 2,3,4-trimethoxy-4'-carbomethoxy-1,1'-biphenyl (TCB) [Medrano et al. (1989) Biochemistry 28, 5589-5599] has shown that the binding properties of the 4'-keto analogue (TKB) were closer to those of allocolchicine, even though the substituent in the 4'-position of TCB is identical with that of allocolchicine. It has been proposed that binding in the ring C subsite on tubulin, which is stabilized thermodynamically by stacking interactions, can be modulated in a nonidentical fashion by the carbonyl and the ether oxygens in the para position of ring C.     

Site-specific enthalpic regulation of DNA transcription at bacteriophage lambda OR.

Binding of cI repressor to DNA fragments containing the three specific binding sites of the right operator (OR) of bacteriophage lambda was studied in vitro over the temperature range 5-37 degrees C by quantitative footprint titration. The individual-site isotherms, obtained for binding repressor dimers to each site of wild-type OR and to appropriate mutant operator templates, were analyzed for the Gibbs energies of intrinsic binding and pairwise cooperative interactions. It is found that dimer affinity for each of the three sites varies inversely with temperature, i.e., the binding reactions are enthalpy driven, unlike many protein-DNA reactions. By contrast, the magnitude of the pairwise cooperativity terms describing interaction between adjacently site-bound repressor dimers is quite small. This result in combination with the recent finding that repressor monomer-dimer assembly is highly enthalpy driven (with delta H degrees = -16 kcal mol-1) [Koblan, K. S., & Ackers, G. K. (1991) Biochemistry 30, 7817-7821] indicates that the associative contacts between site-bound repressors that mediate cooperativity are unlikely to be the same as those responsible for dimerization. The intrinsic binding enthalpies for all three sites are negative (exothermic) and nearly temperature-invariant, indicating no heat capacity changes on the scale of those inferred in other protein-DNA systems. However, the three operator sites are affected differentially by temperature: the intrinsic binding free energies for sites OR1 and OR3 change in parallel over the entire range, delta H0OR1 = -23.3 +/- 4.0 kcal mol-1 and delta H0OR3 = -22.7 +/- 1.2 kcal mol-1.(ABSTRACT TRUNCATED AT 250 WORDS)     

Biochemical characterization of positive cooperativity in the binding of 1 alpha, 25-dihydroxyvitamin D3 to its chick intestinal chromatin receptor

We have characterized a positive cooperativity mechanism in the binding of 1,25-dihydroxyvitamin D3 (1,25-(OH)2D3) to its chick duodenum chromatin receptor. The Hill plot which can take account of the possibility of cooperativity resulted in a much better fitting of the experimental data than the Scatchard model (r = +0.998 versus r = -0.94). Concentrating the chromatin receptor preparation from 10 to 40% resulted in an increase of the Hill coefficient (nH) from 1.09 +/- 0.08 to 1.46 +/- 0.08 (S.D.). Increasing the temperature of incubation from 1 degree C to 40 degrees C resulted in a decrease of nH from 1.46 +/- 0.08 to 1.10 +/- 0.02 (S.D.). The calculation of the thermodynamics of the interaction of 1,25-(OH)2D3 with the second binding site of the receptor (from a Van't Hoff plot) showed that this process occurred spontaneously (delta G0 = -11.6 kcal X mol-1 at 1 degree C), was entropy-driven (delta S0 = +26 cal degree-1 mol-1), and was energy-requiring (delta H0 = -4.37 kcal X mol-1). The temperature controlled reversibility of the cooperativity demonstrates that this phenomenon is not an artifact. Finally, in a study of the rate of dissociation of [3H]1,25-(OH)2D3 from the duodenal receptor preparation, we have found two slopes (k-1 = 32 X 10(-3) min-1; k-2 = 3.2 X 10(-3) min-1); this suggests the existence of two species of receptor. These receptor species could result possibly from either a monomer-dimer system or from a conformational change of a monomer via site-site interactions. In conclusion, the positive cooperativity in the binding of 1,25-(OH)2D3 to the two binding sites of its intestinal receptor is an entropy-driven process and requires energy, is reversible with temperature, and has been shown to take place in concentrated chromatin aggregates.     

Calorimetric studies on melting of tRNA Phe (yeast).

The heat effects involved in thermal unfolding of tRNAPhe from yeast have been determined in various buffer systems by direct differential scanning calorimetry. Perfect reversibility of the melting process has been demonstrated for measurements in the absence of Mg2+ ions. The overall molar transition enthalpy, delta Ht = 298 +/- 15 kcal mol-1 (1247 +/- 63 kJ mol-1), has been shown to be independent of the NaCl concentration and the nature of the buffers used in this study. Delta Ht is identical in the presence and in the absence of Mg2+ ions within the margin of experimental error. This experimental result implies a vanishing or very small heat capacity change to be associated with melting. Decomposition of the calorimetrically determined complex transition curves, on the assumption that the experimental melting profile represents the sum of independent two-state transitions, results in five transitions which have been assigned to melting of different structural domains of the tRNA.     

Thermodynamics of DNA hairpins: contribution of loop size to hairpin stability and ethidium binding.

A combination of calorimetric and spectroscopic techniques was used to evaluate the thermodynamic behavior of a set of DNA hairpins with the sequence d(GCGCTnGCGC), where n = 3, 5 and 7, and the interaction of each hairpin with ethidium. All three hairpins melt in two-state monomolecular transitions, with tm's ranging from 79.1 degrees C (T3) to 57.5 degrees C (T7), and transition enthalpies of approximately 38.5 kcal mol-1. Standard thermodynamic profiles at 20 degrees C reveal that the lower stability of the T5 and T7 hairpins corresponds to a delta G degree term of +0.5 kcal mol-1 per thymine residue, due to the entropic ordering of the thymine loops and uptake of counterions. Deconvolution of the ethidium-hairpin calorimetric titration curves indicate two sets of binding sites that correspond to one ligand in the stem with binding affinity, Kb, of approximately 1.8 x 10(6) M-1, and two ligands in the loops with Kb of approximately 4.3 x 10(4) M-1. However, the binding enthalpy, delta Hb, ranges from -8.6 (T3) to -11.6 kcal mol-1 (T7) for the stem site, and -6.6 (T3) to -12.7 kcal mol-1 (T7) for the loop site. Relative to the T3 hairpin, we obtained an overall thermodynamic contribution (per dT residue) of delta delta Hb = delta(T delta Sb) = -0.7(5) kcal mol-1 for the stem sites and delta delta Hb = delta(T delta Sb) = -1.5 kcal mol-1 for the loop sites. Therefore, the induced structural perturbations of ethidium binding results in a differential compensation of favorable stacking interactions with the unfavorable ordering of the ligands.     

Thermolysis of coenzymes B12 at physiological temperatures: activation parameters for cobalt-carbon bond homolysis and a quantitative analysis of the perturbation of the homolysis equilibrium by the ribonucleoside triphosphate reductase from Lactobacillus leichmannii

The kinetics of the thermolysis of 5'-deoxyadenosylcobalamin (AdoCbl, coenzyme B12) in aqueous solution, pH 7.5, have been studied in the temperature range 30-85 degrees C using AdoCbl tritiated at the adenine C2 position and the method of initial rates. Combined with a careful analysis of the distribution of adenine-containing products, the results permit the dissection of the competing rate constants for carbon-cobalt bond homolysis and heterolysis. After correction for the temperature-dependent occurrence of the much less reactive base-off species of AdoCbl, the activation parameters for homolysis of the base-on species were found to be delta H++homo,on = 33.8 +/- 0.2 kcal mol-1 and delta S++homo,on = 13.5 +/- 0.7 cal mol-1 K-1, values not significantly different from those determined by Hay and Finke (J. Am. Chem. Soc. 108 (1986) 4820), in the temperature range 85-115 degrees C. In contrast, the heterolysis of base-on AdoCbl was characterized by a much smaller enthalpy of activation (delta H++het,on = 18.5 +/- 0.2 kcal mol-1) and a negative entropy of activation (delta S++het,on = -34.0 +/- 0.7 cal mol-1 K-1) so that heterolysis, which is minor pathway at elevated temperatures, is the dominant pathway for AdoCbl decomposition at physiological temperatures. Using literature values for the rate constant for the reverse reaction, the equilibrium constant for AdoCbl homolysis at 37 degrees C was calculated to be 7.9 x 10(-18). Comparison with the equilibrium constant for this homolysis at the active site of the ribonucleoside triphosphate reductase from Lactobacillus leichmannii shows that the enzymes shifts the equilibrium constant towards homolysis products by a factor of 2.9 x 10(12) (17.7 kcal mol-1) by binding the thermolysis products with an equilibrium constant of 7.1 x 10(16) M-2, compared to the bonding constant for AdoCbl of 2.4 x 10(4) M-1.     

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.     

Stability of yeast iso-1-ferricytochrome c as a function of pH and temperature.

Absorbance-detected thermal denaturation studies of the C102T variant of Saccharomyces cerevisiae iso-1-ferricytochrome c were performed between pH 3 and 5. Thermal denaturation in this pH range is reversible, shows no concentration dependence, and is consistent with a 2-state model. Values for free energy (delta GD), enthalpy (delta HD), and entropy (delta SD) of denaturation were determined as functions of pH and temperature. The value of delta GD at 300 K, pH 4.6, is 5.1 +/- 0.3 kcal mol-1. The change in molar heat capacity upon denaturation (delta Cp), determined by the temperature dependence of delta HD as a function of pH (1.37 +/- 0.06 kcal mol-1 K-1), agrees with the value determined by differential scanning calorimetry. pH-dependent changes in the Soret region indicate that a group or groups in the heme environment of the denatured protein, probably 1 or both heme propionates, ionize with a pK near 4. The C102T variant exhibits both enthalpy and entropy convergence with a delta HD of 1.30 kcal mol-1 residue-1 at 373.6 K and a delta SD of 4.24 cal mol-1 K-1 residue-1 at 385.2 K. These values agree with those for other single-domain, globular proteins.     

Thermodynamics of reversible monomer-dimer association of tubulin

The equilibrium between the rat brain tubulin alpha beta dimer and the dissociated alpha and beta monomers has been studied by analytical ultracentrifugation with use of a new method employing short solution columns, allowing rapid equilibration and hence short runs, minimizing tubulin decay. Simultaneous analysis of the equilibrium concentration distributions of three different initial concentrations of tubulin provides clear evidence of a single equilibrium characterized by an association constant, Ka, of 4.9 X 10(6) M-1 (Kd = 2 X 10(-7) M) at 5 degrees, corresponding to a standard free energy change on association delta G degrees = -8.5 kcal mol-1. Colchicine and GDP both stabilize the dimer against dissociation, increasing the Ka values (at 4.5 degrees C) to 20 X 10(6) and 16 X 10(6) M-1, respectively. Temperature dependence of association was examined with multiple three-concentration runs at temperatures from 2 to 30 degrees C. The van't Hoff plot was linear, yielding positive values for the enthalpy and entropy changes on association, delta S degrees = 38.1 +/- 2.4 cal deg-1 mol-1 and delta H degrees = 2.1 +/- 0.7 kcal mol-1, and a small or zero value for the heat capacity change on association, delta C p degrees. The entropically driven association of tubulin monomers is discussed in terms of the suggested importance of hydrophobic interactions to the stability of the monomer association and is compared to the thermodynamics of dimer polymerization.     

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.     

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.     

DSC studies of the conformational stability of barstar wild-type.

The temperature induced unfolding of barstar wild-type of bacillus amyloliquefaciens (90 residues) has been characterized by differential scanning microcalorimetry. The process has been found to be reversible in the pH range from 6.4 to 8.3 in the absence of oxygen. It has been clearly shown by a ratio of delta HvH/delta Hcal near 1 that denaturation follows a two-state mechanism. For comparison, the C82A mutant was also studied. This mutant exhibits similar reversibility, but has a slightly lower transition temperature. The transition enthalpy of barstar wt (303 kJ mol-1) exceeds that of the C82A mutant (276 kJ mol-1) by approximately 10%. The heat capacity changes show a similar difference, delta Cp being 5.3 +/- 1 kJ mol-1 K-1 for the wild-type and 3.6 +/- 1 kJ mol-1 K-1 for the C82A mutant. The extrapolated stability parameters at 25 degrees C are delta G0 = 23.5 +/- 2 kJ mol-1 for barstar wt and delta G0 = 25.5 +/- 2 kJ mol-1 for the C82A mutant.     

An investigation of the equilibria between aqueous ribose, ribulose, and arabinose

The thermodynamics of the equilibria between aqueous ribose, ribulose, and arabinose were investigated using high-pressure liquid chromatography and microcalorimetry. The reactions were carried out in aqueous phosphate buffer over the pH range 6.8-7.4 and over the temperature range 313.15-343.75 K using solubilized glucose isomerase with either Mg(NO3)2 or MgSO4 as cofactors. The equilibrium constants (K) and the standard state Gibbs energy (delta G degrees) and enthalpy (delta H degrees) changes at 298.15 K for the three equilibria investigated were found to be: ribose(aq) = ribulose(aq) K = 0.317, delta G degrees = 2.85 +/- 0.14 kJ mol-1, delta H degrees = 11.0 +/- 1.5 kJ mol-1; ribose(aq) = arabinose(aq) K = 4.00, delta G degrees = -3.44 +/- 0.30 kJ mol-1, delta H degrees = -9.8 +/- 3.0 kJ mol-1; ribulose(aq) = arabinose(aq) K = 12.6, delta G degrees = -6.29 +/- 0.34 kJ mol-1, delta H degrees = -20.75 +/- 3.4 kJ mol-1. Information on rates of the above reactions was also obtained. The temperature dependencies of the equilibrium constants are conveniently expressed as R in K = -delta G degrees 298.15/298.15 + delta H degrees 298.15[(1/298.15)-(1/T)] where R is the gas constant (8.31441 J mol-1 K-1) and T the thermodynamic temperature.