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.     

Molecular interactions between ribosomal proteins--a study of S4-S9 interaction.

The ribosomal proteins S4 and S9 were isolated from the 30S ribosomal subunit of Escherichia coli to greater than 95% purity and characterized in the reconstitution buffer. Neither of the proteins indicated any tendency to self associate at 3 degrees C in the concentration range studied. At higher temperatures (greater than 20 degrees C), protein S9 forms a significant amount of a soluble aggregate as seen from the sedimentation velocity and sedimentation equilibrium experiments. From an analysis of the solution mixture of S4 and S9 at 1:1.08 molar concentration ratio by sedimentation velocity experiment, an s20,w value of 1.77 +/- 0.02S was obtained. A fast moving component which accounts for approximately 20% of the mass was also observed. Increasing the concentration of S9 does not alter the observed s20w value significantly for that component which could be followed. A detailed analysis of the data obtained at 3 degrees C from sedimentation equilibrium experiments on mixtures of the proteins indicated that a species of molecular weight greater than either of the two proteins was present. The proteins were found to interact with a mean equilibrium constant of association of 3.66 +/- 2.39 x 10(4) M-1 and a Gibbs free energy of interaction, delta Go = -5.8 kcal/mole at 3 degrees C in TMKD buffer. This information helps in understanding the energetics of the 30S ribosomal subunits of E. coli.     

Cooperative association of plasminogen with fibrinogen

We have examined the association of both Glu- and Lys-plasminogen to fibrinogen by ultracentrifugal sedimentation equilibrium in neutral isotonic buffer in the presence of aprotinin. The fibrinogen and plasminogens, which were homogenous, did not exhibit any self-association. In each association study, five different molar ratios of plasminogen to fibrinogen were examined. The data were analyzed by mathematical modeling using nonlinear least-squares curve fitting. Analyses of molecular species present showed that up to 4 mol of either Glu- or Lys-plasminogen was associated with each mol of fibrinogen. For the binding of Glu-plasminogen, the values of the successive changes of the standard free energy of association were found to be -5.48, -7.73, -8.88, and -11.41 kcal/mol (Ka = 2.16 X 10(4), 1.32 X 10(6), 1.06 X 10(7), and 1.08 X 10(9) M-1). For the experimental conditions used here, the association of Lys-plasminogen appears to be described by virtually the same fitting parameters. The very marked cooperativity of association found here would appear to imply that there are significant alterations of the structure of fibrinogen as a result of each successive molecule of plasminogen bound.     

Binding of Escherichia coli ribosomal protein S8 to 16S rRNA: kinetic and thermodynamic characterization

A sensitive membrane filter assay has been used to examine the kinetic and equilibrium properties of the interactions between Escherichia coli ribosomal protein S8 and 16S rRNA. In standard conditions (0 degrees C, pH 7.5, 20 mM Mg2+, 0.35 M KCl) the apparent association constant is 5 +/- 0.5 X 10(-7) M-1. The interaction is highly specific, and the kinetics of the reaction are consistent with the apparent association constant. Nevertheless, the rate of association is somewhat slower than that expected for a diffusion-controlled reaction, suggesting some steric constraint. The association is only slightly affected by temperature (delta H = -1.8 kcal/mol). The entropy change [delta S = +29 cal/(mol K)] is clearly the main driving force for the reaction. The salt dependence of Ka reveals that five ions are released upon binding at pH 7.5 and in the presence of 10 mM magnesium. The substitution of various anions for Cl- has an appreciable effect on the magnitude of Ka, following the order CH3COO- greater than Cl- greater than Br-, thus indicating the existence of anion binding site(s) on S8. An equal number of ions were released when Cl- was replaced by CH3COO-, but the absence of anion release upon binding cannot be excluded. On the other hand, the free energy of binding appears not to be exclusively electrostatic in nature. The effect of pH on both temperature and ionic strength dependence of Ka has been examined. It appears that protonation of residue(s) (with pK congruent to 9) increases the affinity via a generalized charge effect. On the other hand, deprotonation of some residue(s) with a pK congruent to 5-6 seems to be required for binding. Furthermore, the unique cysteine present in S8 was shown to be essential for binding.     

Vincristine-induced self-association of calf brain tubulin

The vincristine-induced self-association of tubulin has been examined in a sedimentation velocity study as a function of free drug concentration in PG buffer (0.01 M NaPi and 10(-4) M GTP, pH 7.0) at 20 degrees C. Analysis of the weight-average sedimentation coefficient (S20,w) as a function of protein concentration showed a good fit with the model of an indefinite, isodesmic self-association mechanism. Analysis of the apparent association constants in terms of the Wyman linkage relations showed a good fit to mediation of the self-association by the binding of one ligand molecule. The intrinsic association constant for dimerization of the vincristine-liganded tubulin was found to be 3.8 X 10(5) M-1, and the intrinsic equilibrium constant for the binding of the self-association-linked vincristine molecule had a value of 3.5 X 10(4) M-1, consistent with that measured by fluorescence in our laboratory [Prakash, V., & Timasheff, S. N. (1983) J. Biol. Chem. 258, 1689-1697]. Both reactions are stronger in the presence of vincristine than of vinblastine, reflecting the oxidation of a -CH3 group to -CHO when going from the latter drug to the former one.     

Thermodynamics of carbon monoxide binding to monomeric cytochrome c'

The thermodynamic parameters for carbon binding to monomeric Rhodopseudomonas palustris cytochrome c' are determined. An enthalpy change for CO(aq) binding to the cytochrome is measured directly by titration calorimetry as -6.7 +/- 0.2 kcal/mol of heme, the CO binding equilibrium constant is measured at 35 degrees C as (1.96 +/- 0.05) X 10(5) M-1, and the binding equilibrium constant at 25 degrees C is calculated from the van't Hoff equation as (2.8 +/- 0.1) X 10(5) M-1. Comparison of the results to the known energetics of CO binding to dimeric cytochrome c', where the CO binding site is buried in the protein interior, indicates that the heme binding site on the monomer form is, in contrast, more exposed.     

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.     

A stepwise mechanism for the permeation of phloretin through a lipid bilayer

The thermodynamics of interactions between phloretin and a phosphatidylcholine (PC) vesicle membrane are characterized using equilibrium spectrophotometric titration, stopped-flow, and temperature- jump techniques. Binding of phloretin to a PC vesicle membrane is diffusion limited, with an association rate constant greater than 10(8) M-1s-1, and an interfacial activation free energy of less than 2 kcal/mol. Equilibrium binding of phloretin to a vesicle membrane is characterized by a single class of high-affinity (8 micro M), noninteracting sites. Binding is enthalpy driven (delta H = -4.9 kcal/mol) at 23 degrees C. Analysis of amplitudes of kinetic processes shows that 66 +/- 3% of total phloretin binding sites are exposed at the external vesicle surface. The rate of phloretin movement between binding sites located near the external and internal interfaces is proportional to the concentration of un-ionized phloretin, with a rate constant of 5.7 X 10(4) M-1s-1 at 23 degrees C. The rate of this process is limited by a large enthalpic (9 kcal/mol) and entropic (-31 entropy units) barrier. An analysis of the concentration dependence of the rate of transmembrane movement suggests the presence of multiple intramembrane potential barriers. Permeation of phloretin through a lipid bilayer is modeled quantitatively in terms of discrete steps: binding to a membrane surface, translocation across a series of intramembrane barriers, and dissociation from the opposite membrane surface. The permeability coefficient for phloretin is calculated as 1.9 X 10(-3) cm/s on the basis of the model presented. Structure- function relationships are examined for a number of phloretin analogues.     

Molecular interactions between ribosomal proteins — An analysis of S7-S9, S7-S19, S9-S19 and S7-S9-S19 interactions

Ribosomal proteins S7, S9 and S 19 fromEscherichia coli have been studied by the sedimentation equilibrium technique for possible intermolecular interaction between pairs of proteins as well as in a mixture of 3 proteins. The proteins were isolated to a purity greater than 95% and were characterized in the reconstitution buffer. It was observed that none of the proteins has a tendency to self-associate in the concentration range studied in the temperature range 3–6°C. Protein S9 behaves differently in the presence of other proteins. Analysis of the sedimentation equilibrium data for S7-S9, S9-S19 and S7-S9-S19 complexes revealed the need for considering the presence of a component of higher molecular weight in the system along with the monomers and their complexes to provide a meaningful curve-fitting of the data. Proteins S7 and S19 were found to interact with an equilibrium constant of association of 3 ± 2 × 10⁴ M⁻¹ at 3°C with a Gibbs free energy of interaction ΔG° of −5·7 kcal/mol. These data are useful for the consideration of the stabilization of the 3 0S subunit through protein-protein interactions and also help in building a topographical model of the proteins of the small subunit from an energetics point of view. Part of this work was carried out at the Marrs McLean Department of Biochemistry, Baylor College of Medicine, Houston, Texas 77030, USA.     

Conformation of adenosine 3',5'-monophosphate in solution as studied by the NMR-desert method. II. Self-association and temperature-dependent glycosidic isomerization at pH 7.

A study has been made of the association and the temperature-dependent conformation of adenosine 3',5'-monophosphate (cyclic AMP) in a neutral aqueous (2H2O) solution by means of proton magnetic resonance chemical shift and relaxation. The concentration and temperature-dependent chemical shifts of H(1'), H(2), and H(8), have enabled us to estimate the self-association constant, Ka = 1.1 +/- 0.3 M-1 at 25 degrees C and thermodynamic parameters delta H = -5.8 +/- 1.5 kcal/mol and delta S (25 degrees C) = -19.0 +/- 3 cal/mol per degree. The NMR-DESERT (Deuterium Substitution Effect on Relaxation Times) method has been utilized for the determination of the syn-anti conformational equilibrium in the monomeric state and for the determination of the mutual orientation of the two adenine rings in the dimeric state of cyclic AMP. The molecules were found to coexist with nearly equimolarity or syn-anti conformers and thermal activation of the molecules perturbs the syn-anti conformational equilibrium to comprise the syn form in preference at higher temperature. The glycosidic isomerization (from anti to syn) was found to be characterized both by a positive enthalpy change and by a positive entropy change. The cyclic AMP molecules prefer to take a 'trans-stacking' conformation in the dimeric state where the two molecules are arranged in such a way that the H(2) of one molecule is close to the H(8) of the other.     

Binding of Escherichia coli protein synthesis initiation factor IF1 to 30S ribosomal subunits measured by fluorescence polarization

The interaction of initiation factor IF1 with 30S ribosomal subunits was measured quantitatively by fluorescence polarization. Purified IF1 was treated with 2-iminothiolane and N-[[(iodoacetyl)-amino]ethyl]-5-naphthylamine-1-sulfonic acid in order to prepare a covalent fluorescent derivative without eliminating positive charges on the protein required for biochemical activity. The fluorescent-labeled IF1 binds to 30S subunits and promotes the formation of N-formylmethionyl-tRNA complexes with 70S ribosomes. Analyses of mixtures of fluorescent-labeled IF1 and 30S ribosomal subunits with an SLM 4800 spectrofluorometer showed little change in fluorescence spectra or lifetimes upon binding, but a difference in polarization between free and bound forms is measurable. Bound to free ratios were calculated from polarization data and used in Scatchard plots to determine equilibrium binding constants and number of binding sites per ribosomal subunit. Competition between derivatized and nonderivatized forms of IF1 was quantified, and association constants for the native factor were determined: (5 +/- 1) X 10(5) M-1 with IF1 alone; (3.6 +/- 0.4) X 10(7) M-1 with IF3; (1.1 +/- 0.2) X 10(8) M-1 with IF2; (2.5 +/- 0.5) X 10(8) M-1 with both IF2 and IF3. In all cases, 0.9-1.1 binding sites per 30S subunit were detected. Divalent cations have little effect on affinities, whereas increasing monovalent cations inhibit binding. On the basis of the association constants, we predict that greater than 90% of native 30S subunits are complexed with all three initiation factors in intact bacterial cells.     

Binding to tubulin of the colchicine analog 2-methoxy-5-(2', 3', 4'-trimethoxyphenyl)tropone. Thermodynamic and kinetic aspects

The thermodynamics and kinetics of the binding to tubulin of the colchicine analog 2-methoxy-5-(2', 3', 4'-trimethoxyphenyl) tropone (termed AC because it lacks the B-ring of colchicine) have been characterized by fluorescence techniques. The fluorescence of AC is weak in aqueous solution and is enhanced 250-fold upon binding to tubulin. The following thermodynamic values were obtained for the interaction at 37 degrees C: K = 3.5 X 10(5) M-1; delta G0 = -7.9 kcal/mol; delta H0 = -6.8 kcal/mol; delta S0 = 3.6 entropy units. The AC-tubulin complex is 1-2 kcal/mol less stable than the colchicine-tubulin complex. The change in fluorescence of AC was employed to measure the kinetics of the association process, and quenching of protein fluorescence was used to measure both association and dissociation. The association process, like that of colchicine, could be resolved into a major fast phase and a minor slow phase. The apparent second order rate constant for the fast phase was found to be 5.2 X 10(4) M-1 S-1 at 37 degrees C, and the activation energy was 13 kcal/mol. This activation energy is 7-11 kcal/mol less than that for the binding of colchicine to tubulin. The difference in activation energies can most easily be rationalized by a mechanism involving a tubulin-induced conformational change in the ligand ( Detrich , H. W., III, Williams, R. C., Jr., Macdonald, T. L., Wilson, L., and Puett , D. (1981) Biochemistry 20, 5999-6005). Such a change would be expected to have a small activation energy in AC because it possesses a freely rotating single bond in place of the B-ring of colchicine.     

Molecular interactions between ribosomal proteins: a study of the S6-S18 interaction.

The proteins S6 and S18 from the 30 S ribosomal subunit of Escherichia coli were isolated to a purity of greater than 95%, characterized in solution, and investigated by sedimentation equilibrium for possible intermolecular interactions in a dilute salt reconstitution buffer. It was observed that neither protein S6 nor S18 has a tendency to self-associate in the concentration range studied. An analysis of solution mixtures containing proteins S6 and S18 revealed a species of molecular weight greater than either of the proteins. Proteins S6 and S18 were found to interact with an equilibrium constant of association of 6.6 ± 4.2 × 10⁴m^?1 at 3 °C with a Gibbs free energy of interaction, ΔG ° = ?6.1 kcal/mol. These data are part of those collected to help in building a map of the energetics in the 30 S ribosomal subunit, which provides for the stabilization of the structure.     

Thermodynamical model of mixed aggregation of ligands with caffeine in aqueous solution. Part II

A statistical-thermodynamical model of mixed association in which one component's self-association is unlimited while the second component does not self-aggregate is described. The model was tested with 4',6-diamidino-2-phenyl-indole-dihydrochloride (DAPI) and ethidium bromide (EB) using light absorption spectroscopy and calorimetry. The system is controlled by two parameters, which represent self-aggregation 'neighborhood' association constant KCC and mixed 'neighborhood' association constant KAC. Calculated, using this model, KAC = 58.2 +/- 1 M-1, KAC = 64.6 +/- 2 M-1 for DAPI and EB, respectively, are in good agreement with known values of stacking interactions. The titration microcalorimetric measurement of DAPI-CAF interaction delta H = -11.1 +/- 0.4 kcal/mol is also consistent with this type of reaction. The structures of the stacking complexes were also confirmed by semi-empirical molecular modeling in the presence of water. The data indicate that CAF forms stacking complexes with DAPI and EB, thus effectively lowering the concentration of the free ligands in the solution, and therefore, CAF can be used to modulate aromatic compound activity.     

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.     

Thermodynamics of glycophorin A transmembrane helix dimerization in C14 betaine micelles

We have used sedimentation equilibrium analytical ultracentrifugation to measure the free energy change for the glycophorin A transmembrane helix-helix dimerization in C14 betaine micelles. By varying the amount of micellar C14 betaine, we show that the protein association reaction in the micellar C14 phase behaves as an ideal-dilute solution. In this hydrophobic environment, the mole-fraction standard state free energy change for self-association of the SNGpA99 glycophorin A construct is -5.7 (+/-0.3, N=5) kcal mol(-1) at 25 degrees C. Compared with previous results carried out in C(8)E(5) micellar solutions, the free energy of dimerization is 1.3 kcal mol(-1) less favorable in C14 betaine micelles. In contrast, when considered on a per-interface basis, the formation of the glycophorin A transmembrane dimer in C14 betaine micelles may be more favorable than the association of several designed transmembrane peptides.     

Synthesis and high stability of complementary complexes of N-(2-hydroxyethyl)phenazinium derivatives of oligonucleotides.

Two simple methods for the synthesis of oligonucleotides bearing a N-(2-hydroxyethyl)phenazinium (Phn) residue at the 5'- and/or 3'-terminal phosphate groups are proposed. By forming complexes between a dodecanucleotide d(pApApCpCpTpGpTpTpTpGpGpC), a heptanucleotide d(pCpCpApApApCpA), and Phn derivatives of the latter, it is shown that the introduction of a dye at the end of an oligonucleotide chain strongly stabilizes its complementary complexes. The Tmax and the thermodynamic parameters (delta H, delta S, delta G) of complex formation were determined. According to these data, coupling of a dye with the 5'-terminal phosphate group is the most advantageous: delta G(37 degrees C) is increased by 3.59 +/- 0.04 kcal/mol compared to 2.06 +/- 0.04 kcal/mol for 3'-Phn derivatives. The elongation of the linker, which connects the dye to the oligonucleotide, from a dimethylene up to a heptamethylene usually leads to destabilization of the oligonucleotide complex. The complementary complex formed by the 3',5'-di-Phn derivative of the heptanucleotide was found to be the most stable among all duplexes investigated. Relative to the unmodified complex the increase in free energy was 4.96 +/- 0.04 kcal/mol. The association constant of this modified complex at 37 degrees C is 9.5 x 10(6) M-1, whereas the analogous value for the unmodified complex is only 3 x 10(3) M-1.     

Self-association of bovine immunoglobulin G1.

The self-association properties of bovine serum immunoglobulin G1 and colostral immunoglobulin G1 (IgG1) in 0.32 M-NaCl/0.01 M-Tris/HCl, pH 8.0, were investigated by analysing sedimentation data according to a monomer-dimer association model. The self-association was characterized by an equilibrium constant of 5.3 X 10(4) +/- 3.5 X 10(4) M-1 for serum IgG1 and 1.6 X 10(3) +/- 0.69 X 10(3) M-1 for colostral IgG1. The removal of the Fc portion of IgG1 by pepsin digestion abolished its property of self-aggregation. At high total protein concentrations of serum IgG1, low concentrations of the ostensible trimer species were observed. However, no self-aggregation was evident when 0.14 M-NaCl/0.01 M-sodium phosphate. pH 6.0, was used as a solvent, thus confirming results published previously [Tewari & Mukkur (1975) Immunochemistry 12, 925--930].     

Thyroxine-protein interactions. Interaction of thyroxine and triiodothyronine with human thyroxine-binding globulin.

The effect of temperature on the binding of thyroxine and triiodothyronine to thyroxine-binding globulin has been studied by equilibrium dialysis. Inclusion of ovalbumin in the dialysis mixture stabilized thyroxine-binding globulin against losses in binding activity which had been found to occur during equilibrium dialysis. Ovalbumin by itself bound the thyroid hormones very weakly and its binding could be neglected when analyzing the experimental results. At pH 7.4 and 37 degrees in 0.06 M potassium phosphate/0.7 mM EDTA buffer, thyroxine was bound to thyroxine-binding globulin at a single binding site with apparent association constants: at 5 degrees, K = 4.73 +/- 0.38 X 10(10) M-1; at 25 degrees, K = 1.55 +/- 0.17 X 10(10) M-1; and at 37 degrees, K = 9.08 +/- 0.62 X 10(9) M-1. Scatchard plots of the binding data for triiodothyronine indicated that the binding of this compound to thyroxine-binding globulin was more complex than that found for thyroxine. The data for triiodothyronine binding could be fitted by asuming the existence of two different classes of binding sites. At 5 degrees and pH 7.4 nonlinear regression analysis of the data yielded the values n1 = 1.04 +/- 0.10, K1 = 3.35 +/- 0.63 X 10(9) M-1 and n2 = 1.40 +/- 0.08, K2 = 0.69 +/- 0.20 X 10(8) M-1. At 25 degrees, the values for the binding constants were n1 = 1.04 +/- 0.38, K1 = 6.5 +/- 2.8 X 10(8) M-1 and n2 = 0.77 +/- 0.22, K2 = 0.43 +/- 0.62 X 10(8) M-1. At 37 degrees where less curvature was observed, the estimated binding constants were n1 = 1.02 +/- 0.06, K1 = 4.32 +/- 0.59 X 10(8) M-1 and n2K2 = 0.056 +/- 0.012 X 10(8) M-1. When n1 was fixed at 1, the resulting values obtained for the other three binding constants were at 25 degrees, K1 = 6.12 +/- 0.35 X 10(8) M-1, n2 = 0.72 +/- 0.18, K2 = 0.73 +/- 0.36 X 10(8) M-1; and at 37 degrees K1 = 3.80 +/- 0.22 X 10(8) M-1, n2 = 0.44 +/- 0.22, and K2 = 0.43 +/- 0.38 X 10(8) M-1. The thermodynamic values for thyroxine binding to thyroxine-binding globulin at 37 degrees and pH 7.4 were deltaG0 = -14.1 kcal/mole, deltaH0 = -8.96 kcal/mole, and deltaS0 = +16.7 cal degree-1 mole-1. For triiodothyronine at 37 degrees, the thermodynamic values for binding at the primary binding site were deltaG0 = -12.3 kcal/mole, deltaH0 = -11.9 kcal/mole, and deltaS0 = +1.4 cal degree-1 mole-1. Measurement of the pH dependence of binding indicated that both thyroxine and triiodothyronine were bound maximally in the region of physiological pH, pH 6.8 to 7.7.     

Kinetics of carboxymethylation of histidine hydantoin.

The reaction of the imidazole group of histidine hydantoin with bromoacetate was studied as a model for carboxymethylation of histidine residues in proteins. pK values of 6.4 and 9.1 (25 degrees C) and apparent heats of ionization of 7.8 and 8.7 kcal/mol were determined for the imidazole and hydantoin rings, respectively. At pH values corresponding to the isoelectric points for histidine hydantoin, the rates of carboxymethylation at 12, 25, 37, and 50 degrees C were determined; the modified hydantoins were hydrolyzed to the corresponding histidine derivatives for quantitative amino acid analysis. At pH 7.72 and 25 degrees C, the imidazole tele-N was alkylated (k = 3.9 X 10(-5) M-1 s-1) twice as fast as the pros-N. The monocarboxymethyl derivatives were carboxymethylated at the same rate at the pros-N (k = 2.1 X 10(-5) M-1 s-1) but 3 times faster at the tele-N (k = 11 X 10(-5) M-1 s-1). The enthalpies of activation determined for carboxymethylation of the imidazole ring and its monocarboxymethyl derivatives were similar (15.9 +/- 0.7 kcal/mol). delta S for the four carboxymethylations was -25 +/- 2 eu. The electrostatic component of delta S (delta S es) was calculated from the influence of the dielectric constant on the reaction rate at 25 degrees C. delta S es was slightly negative (-4 +/- 1 eu) for mono- or dicarboxymethylations, indicating some charge separation in the transition state. The nonelectrostatic entropy of activation was -21 +/- 2 eu for all four carboxymethylations.