Effect of temperature on the creatine kinase equilibrium.

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

Kinetics and thermodynamics of double-helix formation of self-complementary deoxyribooctanucleotides d(TCTATAGA) and d(TAGATCTA).

Double-helix formation of self-complementary deoxyribooctanucleotides, d(TCTATAGA) and d(TAGATCTA), with identical nearest neighbor base pairs has been studied by means of UV melting and temperature-jump techniques. The self-complementary duplexes of both octanucleotides with identical nearest neighbors had similar stabilities: The stabilization energies of the octanucleotides at 25 degrees C were 5.8 kcal mol-1 for d(TCTATAGA) and 6.7 kcal mol-1 for d(TAGATCTA). On the kinetic curve the melting reactions finished within 20 ms for d(TCTATAGA) and 40 ms for d(TAGATCTA) at 20 degrees C. For both octanucleotides the rate constants of dissociation increased and the rate constants of association decreased with increasing temperature.     

The legacies of Langmuir, Ising, and Pauling: ligand binding and the helix-coil transition

Multiple, independent sites or domains behave, on chemical change, in a manner predicted by Langmuir. Distortions of this behavior have been attributed to interactions between the domains, which vary with the progress of the changes occurring at the sites or domains. The two main models for nearest neighbor interactions perturbing the Langmuir prediction for independent domains are those of Ising and Pauling. If we designate the initial site as (-) and the changed site as (+), then the Langmuir requirement for independence of sites yields a set of nearest neighbor interactions such that the (- -), (- +), (+ -), and (+ +) interactions are all identical. This identity is usually characterized as "no interactions." Ising, in dealing with electron pairs, invoked nearest neighbor interactions such that the interactions of the (- -) paris equaled those of the (+ +) pairs, but with the (- +) and (+ -) pairs differing from the reference (- -) pair. Pauling, on the other hand, postulated that only the (- -) and (+ -) pairs interacted differently. A dichotomy has arisen in the application of these two models, with some investigators ignoring or overlooking one of the models. We explore these models, alone and combined, with exact partition functions generated in reasonable computer times for hundreds of sites employing our combinatorial algorithm.     

Calorimetry of apolipoprotein-A1 binding to phosphatidylcholine-triolein-cholesterol emulsions.

The thermotropic properties of triolein-rich, low-cholesterol dipalmitoyl phosphatidylcholine (DPPC) emulsion particles with well-defined chemical compositions (approximately 88% triolein, 1% cholesterol, 11% diacyl phosphatidylcholine) and particle size distributions (mean diameter, approximately 1000-1100 A) were studied in the absence and presence of apolipoprotein-A1 by a combination of differential scanning and titration calorimetry. The results are compared to egg yolk PC emulsions of similar composition and size. Isothermal titration calorimetry at 30 degrees C was used to saturate the emulsion surface with apo-A1 and rapidly quantitate the binding constants (affinity Ka = 11.1 +/- 3.5 x 10(6) M-1 and capacity N = 1.0 +/- 0.09 apo-A1 per 1000 DPPC) and heats of binding (enthalpy H = -940 +/- 35 kcal mol-1 apo-A1 or -0.92 +/- 0.12 kcal mol-1 DPPC). The entropy of association is -3070 cal deg-1 mol-1 protein or -3 cal deg-1 mol-1 DPPC. Without protein on the surface, the differential scanning calorimetry heating curve of the emulsion showed three endothermic transitions at 24.3 degrees C, 33.0 degrees C, and 40.0 degrees C with a combined enthalpy of 1.53 +/- 0.2 kcal mol-1 DPPC. With apo-A1 on the surface, the heating curve showed the three transitions more clearly, in particular, the second transition became more prominent by significant increases in both the calorimetric and Van't Hoff enthalpies. The combined enthalpy was 2.70 +/- 0.12 kcal mol-1 DPPC and remained constant upon repeated heating and cooling. Indicating that the newly formed DPPC emulsion-Apo-A1 complex is thermally reversible during calorimetry. Thus there is an increase in delta H of 1.17 kcal mol-1 DPPC after apo-A1 is bound, which is roughly balanced by the heat released during binding (-0.92 kcal) of apo-A1. The melting entropy increase, +3.8 cal deg-1 mol-1 DPPC of the three transitions after apo-A1 binds, also roughly balances the entropy (-3 cal deg-1 mol-1 DPPC) of association of apo-A1. These changes indicate that apo-A1 increases the amount of ordered gel-like phase on the surface of DPPC emulsions when added at 30 degrees C. From the stoichiometry of the emulsions we calculate that the mean area of DPPC at the triolein/DPPC interface is 54.5 A2 at 41 degrees C and 54.2 A2 at 30 degrees C. The binding of apo-A1 at 30 degrees C to the emulsion reduces the surface area per DPPC molecule from 54.2 A2 to 50.8 A2. At 30 degrees apo-A1 binds with high affinity and low capacity to the surface of DPPC emulsions and increases the packing density of the lipid domain to which it binds. Apo-A1 was also titrated onto DPPC emulsions at 45 degrees C. This temperature is above the gel liquid crystal transition. No heat was released or adsorbed. Furthermore, egg yolk phosphatidylcholine emulsions of nearly identical composition were also titrated at 30 degrees C with apo-A1 and were euthermic. Association constants were previously measured using a classical centrifugation assay and were used to calculate the entropy of apo-A1 binding (+28 cal deg-1 mol-1 apo-A1). This value indicates that apo-A1 binding to a fluid surface like egg yolk phosphatidylcholine or probably DPPC at 45 degrees C is hydrophobic and is consistent with hydrocarbon lipid or protein moities coming together and excluding water. Thus the binding of apo-A1 to partly crystalline surfaces is entropically negative and increases the order of the already partly ordered phases, whereas binding to liquid surfaces is mainly an entropically driven hydrophobic process.     

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.     

Activation parameters for the carbonic anhydrase II-catalyzed hydration of CO2

We have determined the activation parameters of kcat and kcat/Km for the carbonic anhydrase II-catalyzed hydration of CO2. The enthalpy and entropy of activation for kcat is 7860 +/- 120 cal mol-1 and -3.99 +/- 0.42 cal mol-1 K-1, respectively, for the human enzyme. Results for the bovine enzyme were statistically indistinguishable from those of the human enzyme. The entropy of activation of kcat for the human enzyme was further decomposed into partially compensating electrostatic(es) (delta S*es = +15.1 cal mol-1 K-1) and nonelectrostatic(nes) (delta S*nes = -19.1 cal mol-1 K-1) terms. Computer simulations of a formal kinetic mechanism for carbonic anhydrase II-catalyzed CO2 hydration show that 82% of the temperature effect on kcat can be attributed to the temperature effect on the intramolecular proton transfer step. The reported activation parameters are consistent with a substantial enzyme or active site solvent conformational change in the transition state of the intramolecular proton transfer step, and is consistent with the mechanism of proton transfer proposed by Venkatasubban and Silverman (Venkatasubban, K. S., and Silverman, D. N. (1980) Biochemistry 19, 4984-4989).     

Thermodynamics of interdigitated phases of phosphatidylcholine in glycerol.

Comparison of the electron spin resonance spectra of phosphatidylcholines spin-labeled in the sn-2 chain at a position close to the polar region and close to the methyl terminus indicate that symmetrical saturated diacyl phosphatidylcholines with odd and even chain lengths from 13 to 20 C-atoms (and probably also 12 C-atoms) have gel phases in which the chains are interdigitated when dispersed in glycerol. The chain-length dependences of the chain-melting transition enthalpies and entropies are similar for phosphatidylcholines dispersed in glycerol and in water, but the negative end contributions are smaller for phosphatidylcholines dispersed in glycerol than for those dispersed in water: d delta Ht/dCH2 = 1.48 (1.43) kcal.mol-1, d delta St/dCH2 = 3.9 (4.0) cal.mol-1K-1, and delta H o = -12.9 (-15.0) kcal.mol-1, delta S o = -29 (-40) cal.mol-1K-1, respectively, for dispersions in glycerol (water). These differences reflect the interfacial energetics in glycerol and in water, and the different structure of the interdigitated gel phase.     

Calorimetric study of tryptophan synthase alpha-subunit and two mutant proteins

Heat-denaturation of tryptophan synthase alpha-subunit from E. coli and two mutant proteins (Glu 49 leads to Gln or Ser; called Gln 49 or Ser 49, respectively) has been studied by the scanning microcalorimetric method at various pH, in an attempt to elucidate the role of individual amino acid residues in the conformational stability of a protein. The partial specific heat capacity in the native state at 20 degrees, Cp20, has been found to be (0.43 +/- 0.02) cal . k-1 . g-1, the unfolding heat capacity change, delta dCp, (0.10 +/- 0.01) cal . K-1 . g-1, and the unfolding enthalpy value extrapolated to 110 degrees, delta dh110, (9.3 +/- 0.5) cal . g-1 for the three proteins. The value of Cp20 was larger than those found for "fully compact protein" and that of delta dh110 was smaller. Unfolding Gibbs energy, delta dG at 25 degrees for Wild-type, Gln 49, and Ser 49 were 5.8, 8.4, and 7.1 kcal . mol-1 at pH 9.3, respectively. Unfolding enthalpy, delta dH, of the three proteins seemed to be the same and equal to (23.2 +/- 1.2) kcal . mol-1 at 25 degrees. As a consequence of the same value of delta dH and the different value in delta dG, substantial differences in unfolding entropy, delta dS, were found for the three proteins. The values of delta dG for the three proteins at 25 degrees coincided with those from equilibrium methods of denaturation by guanidine hydrochloride.     

Conformational stability of HPr: the histidine-containing phosphocarrier protein from Bacillus subtilis.

The conformational stability of the histidine-containing phosphocarrier protein (HPr) from Bacillus subtilis has been determined using a combination of thermal unfolding and solvent denaturation experiments. The urea-induced denaturation of HPr was monitored spectroscopically at fixed temperatures and thermal unfolding was performed in the presence of fixed concentrations of urea. These data were analyzed in several different ways to afford a measure of the cardinal parameters (delta Hg, Tg, delta Sg, and delta Cp) that describe the thermodynamics of folding for HPr. The method of Pace and Laurents (Pace CN, Laurents DV, 1989, Biochemistry 28:2520-2525) was used to estimate delta Cp as was a global analysis of the thermal- and urea-induced unfolding data. Each method used to analyze the data gives a similar value for delta Cp (1,170 +/- 50 cal mol-1K-1). Despite the high melting temperature for HPr (Tg = 73.5 degrees C), the maximum stability of the protein, which occurs at 26 degrees C, is quite modest (delta Gs = 4.2 kcal mol-1). In the presence of moderate concentrations of urea, HPr exhibits cold denaturation, and thus a complete stability curve for HPr, including a measure of delta Cp, can be achieved using the method of Chen and Schellman (Chen B, Schellman JA, 1989, Biochemistry 28:685-691). A comparison of the different methods for the analysis of solvent denaturation curves is provided and the effects of urea on the thermal stability of this small globular protein are discussed. The methods presented will be of general utility in the characterization of the stability curve for many small proteins.     

Thermodynamics of maltose binding protein unfolding.

The maltose binding protein (MBP or MalE) of Escherichia coli is the periplasmic component of the transport system for malto-oligosaccharides. It is used widely as a carrier protein for the production of recombinant fusion proteins. The melting of recombinant MBP was studied by differential scanning and titration calorimetry and fluorescence spectroscopy under different solvent conditions. MBP exhibits a single peak of heat absorption with a delta(Hcal)/delta(HvH) ratio in the range of 1.3-1.5, suggesting that the protein comprises two strongly interacting thermodynamic domains. Binding of maltose resulted in elevation of the Tm by 8-15 degrees C, depending of pH. The presence of ligand at neutral pH, in addition to shifting the melting process to higher temperature, caused it to become more cooperative. The delta(Hcal)/delta(HvH) ratio decreased to unity, indicating that the two domains melt together in a single two-state transition. This ligand-induced merging of the two domains appears to occur only at neutral pH, because at low pH maltose simply stabilized MBP and did not cause a decrease of the delta(Hcal)/delta(HvH) ratio. Binding of maltose to MBP is characterized by very low enthalpy changes, approximately -1 kcal/mol. The melting of MBP is accompanied by an exceptionally large change in heat capacity. 0.16 cal/K-g, which is consistent with the high amount of nonpolar surface--0.72 A2/g--that becomes accessible to solvent in the unfolded state. The high value of delta Cp determines a very steep delta G versus T profile for this protein and predicts that cold denaturation should occur above freezing temperatures. Evidence for this was provided by changes in fluorescence intensity upon cooling the protein. A sigmoidal cooperative transition with a midpoint near 5 degrees C was observed when MBP was cooled at low pH. Analysis of the melting of several fusion proteins containing MBP illustrated the feasibility of assessing the folding integrity of recombinant products prior to separating them from the MBP carrier protein.     

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 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.     

Thermodynamics of unfolding for turkey ovomucoid third domain: thermal and chemical denaturation.

We have used thermal and chemical denaturation to characterize the thermodynamics of unfolding for turkey ovomucoid third domain (OMTKY3). Thermal denaturation was monitored spectroscopically at a number of wave-lengths and data were subjected to van't Hoff analysis; at pH 2.0, the midpoint of denaturation (Tm) occurs at 58.6 +/- 0.4 degrees C and the enthalpy of unfolding at this temperature (delta Hm) is 40.8 +/- 0.3 kcal/mol. When Tm was perturbed by varying pH and denaturant concentration, the resulting plots of delta Hm versus Tm yield a mean value of 590 +/- 120 cal/(mol.K) for the change in heat capacity upon unfolding (delta Cp). A global fit of the same data to an equation that includes the temperature dependence for the enthalpy of unfolding yielded a value of 640 +/- 110 cal/(mol.K). We also performed a variation of the linear extrapolation method described by Pace and Laurents, which is an independent method for determining delta Cp (Pace, C.N. & Laurents, D., 1989, Biochemistry 28, 2520-2525). First, OMTKY3 was thermally denatured in the presence of a variety of denaturant concentrations. Linear extrapolations were then made from isothermal slices through the transition region of the denaturation curves. When extrapolated free energies of unfolding (delta Gu) were plotted versus temperature, the resulting curve appeared linear; therefore, delta Cp could not be determined. However, the data for delta Gu versus denaturant concentration are linear over an extraordinarily wide range of concentrations. Moreover, extrapolated values of delta Gu in urea are identical to values measured directly.     

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 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.     

Thermodynamics of the various forms of the dodecamer d(ATTACCGGTAAT) and of its constituent hexamers from proton nmr chemical shifts and UV melting curves: three-state and four-state thermodynamic models

Chemical shifts of base and H1' protons of the single-stranded hexamers d(ATTACC) and d(GGTAAT), of the 1:1 mixtures of these complementary hexamers, and of the self-complementary dodecamer d(ATTACCGGTAAT) were measured at various temperatures in aqueous solution. Four different sample concentrations were used in the case of the dodecamer and of the mixture of the complementary hexamers; the individual hexamers were measured at two different DNA concentrations. Absorbance temperature profiles at five different NaCl concentrations were measured for the dodecamer in order to quantify the effect of the ionic strength on the duplex formation. Under suitable conditions of nucleotide concentration, temperature, and ionic strength, the dodecamer adopts either a B-DNA duplex or a hairpin-loop structure. Chemical shift vs temperature profiles, constructed for all samples, were used to obtain thermodynamic parameters either for the various stacking interactions in the single strands or for the duplex or the hairpin-loop formation. In the analysis of the duplex formation of the hexamers, a two-state approach appeared too simple, because systematic deviations were revealed. Therefore, a new three-state model (DUPSTAK) was developed. In order to investigate the magnitude of error arising from the use of the two-state approach in cases where the DUPSTAK model appears more appropriate, a series of test calculations was made. The magnitude of error in the enthalpy and in the entropy of duplex melting is found to depend linearly upon the actual melting temperature and not upon the individual delta Hd degrees and delta Sd degrees values. Thermodynamic analysis of the chemical shift vs temperature profiles in D2O solution (no added salt) yields an average Tmd value of 341 K (1M DNA) and delta Hd degrees of - 121 kJ.mol-1 for the dimer/random-coil transition of the hexamer duplex d(ATTACC).d(GGTAAT). For the duplex in equilibrium random-coil transition of the 12-mer d(ATTACCGGTAAT) an average Tmd value of 336 K (1M DNA) and delta Hd degrees of -372 kJ.mol-1 are found. The hairpin/random-coil transition of d(ATTACCGGTAAT) is characterized by a rather large delta Hh degrees value, -130 kJ.mol-1, and an average Tmh value of 304 K.     

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.     

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.     

Thermodynamics of hydrolysis of disaccharides. Cellobiose, gentiobiose, isomaltose, and maltose

The thermodynamics of the enzymatic hydrolysis of cellobiose, gentiobiose, isomaltose, and maltose have been studied using both high pressure liquid chromatography and microcalorimetry. The hydrolysis reactions were carried out in aqueous sodium acetate buffer at a pH of 5.65 and over the temperature range of 286 to 316 K using the enzymes beta-glucosidase, isomaltase, and maltase. The thermodynamic parameters obtained for the hydrolysis reactions, disaccharide(aq) + H2O(liq) = 2 glucose(aq), at 298.15 K are: K greater than or equal to 155, delta G0 less than or equal to -12.5 kJ mol-1, and delta H0 = -2.43 +/- 0.31 kJ mol-1 for cellobiose; K = 17.9 +/- 0.7, delta G0 = -7.15 +/- 0.10 kJ mol-1 and delta H0 = 2.26 +/- 0.48 kJ mol-1 for gentiobiose; K = 17.25 +/- 0.7, delta G0 = -7.06 +/- 0.10 kJ mol-1, and delta H0 = 5.86 +/- 0.54 kJ mol-1 for isomaltose; and K greater than or equal to 513, delta G0 less than or equal to -15.5 kJ mol-1, and delta H0 = -4.02 +/- 0.15 kJ mol-1 for maltose. The standard state is the hypothetical ideal solution of unit molality. Due to enzymatic inhibition by glucose, it was not possible to obtain reliable values for the equilibrium constants for the hydrolysis of either cellobiose or maltose. The entropy changes for the hydrolysis reactions are in the range 32 to 43 J mol-1 K-1; the heat capacity changes are approximately equal to zero J mol-1 K-1. Additional pathways for calculating thermodynamic parameters for these hydrolysis reactions are discussed.     

Estimation of the pulmonary microvascular reflection coefficient to protein in dogs

We used a new technique to estimate the pulmonary microvascular membrane reflection coefficient to plasma protein (sigma d) in anesthetized dogs. In five animals we continuously weighed the lower left lung lobe and used a left atrial balloon to increase the pulmonary microvascular pressure (Pc). We determined the relationship between the rate of edema formation (S) and Pc and estimated the fluid filtration coefficient (Kf) as delta S/delta Pc. From the S vs. Pc relationship and Kf, we estimated the Pc at which S/Kf = 10 mmHg for each dog. This pressure (P10) was 38.0 +/- 5.8 (SD) mmHg, and the plasma protein osmotic pressure (pi c) was 14.9 +/- 3.7 mmHg. In five additional dogs in which we decreased pi c to 2.9 +/- 1.7 mmHg, P10 = 27.2 +/- 2.6 mmHg. The P10 vs. pi c regression line fit to the data from all 10 dogs was P10 = 0.92 pi c +/- 24.4 mmHg (r = 0.88). We estimated sigma d from the slope of the regression line as sigma d = square root of delta P10/delta pi c. With this technique, we estimated that, with 95% probability, sigma d lies between 0.72 and unity. This is higher than most previous sigma d estimates.