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.     

Roles of colchicine rings B and C in the binding process to tubulin

The interactions of tubulin with colchicine analogues in which the tropolone methyl ether ring had been transformed into a p-carbomethoxybenzene have been characterized. The analogues were allocolchicine (ALLO) and 2,3,4-trimethoxy-4'-carbomethoxy-1,1'-biphenyl (TCB), the first being transformed colchicine and the second transformed colchicine with ring B eliminated. The binding of both analogues has been shown to be specific for the colchicine binding site on tubulin by competition with colchicine and podophyllotoxin. Both analogues bind reversibly to tubulin with the generation of ligand fluorescence. The binding of ALLO is slow, the fluorescence reaching a steady state in the same time span as colchicine; that of TCB is rapid. The displacement of ALLO by podophyllotoxin proceeds with a half-life of ca. 40 min. Binding isotherms generated from gel filtration and fluorescence measurements have shown that both analogues bind to tubulin with a stoichiometry of 1 mol of analogue/mol of alpha-beta tubulin. The equilibrium binding constants at 25 degrees C have been found to be (9.2 +/- 2.5) x 10(5) M-1 for ALLO and (1.0 +/- 0.2) X 10(5) M-1 for TCB. Binding of both analogues was accompanied by quenching of protein fluorescence, perturbation of the far-ultraviolet circular dichroism of tubulin, and induction of the tubulin GTPase activity, similarly to colchicine binding. Both inhibited microtubule assembly in vitro, ALLO substoichiometrically, and both induced the abnormal cooperative polymerization of tubulin, which is characteristic of the tubulin-colchicine complex. Analysis in terms of the simple bifunctional ligand binding mechanism developed for colchicine [Andreu, J.M., & Timasheff, S.N. (1982) Biochemistry 21, 534-543] and comparison with the binding of the colchicine two-ring analogue, 2-methoxy-5-(2,3,4-trimethoxyphenyl)-2,4,6-cycloheptatrien-1-one [Andreu, J. M., Gorbunoff, M. J., Lee, J. C., & Timasheff, S. N. (1984) Biochemistry 23, 1742-1752], have shown that transformation of the tropolone methyl ether part of colchicine into p-carbomethoxybenzene weakens the standard free energy of binding to tubulin by 1.4 +/- 0.1 kcal/mol, while elimination of ring B weakens it by 1.0 +/- 0.1 kcal/mol. The roles of rings C and B of colchicine in the thermodynamic and kinetic mechanisms of binding to tubulin were analyzed in terms of these findings.     

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.     

Interaction of tubulin with bifunctional colchicine analogues: an equilibrium study

The interaction of tubulin with simple analogues of colchicine that contain both its tropolone and trimethoxyphenyl rings has been characterized, and the results were analyzed in terms of the simple bifunctional ligand model developed for the binding of colchicine [ Andreu , J. M., & Timasheff , S. N. (1982) Biochemistry 21, 534-543] on the basis of interactions of tubulin with single-ring analogues. The compound 2-methoxy-5-(2,3,4-trimethoxyphenyl)-2,4,6- cycloheptatrien -1-one has been found to bind reversibly to 0.86 +/- 0.06 site of purified calf brain tubulin with an equilibrium constant of (4.9 +/- 0.3) X 10(5) M-1 (25 degrees C), delta H degrees app = -1.6 +/- 0.7 kcal mol-1, and delta S degrees app = 20.5 +/- 2.5 eu. The binding appears specific for the colchicine site. The closely related compound 2-methoxy-5-[[3-(3,4,5-trimethoxyphenyl)-propionyl]amino] -2,4,6- cycloheptatrien -1-one interacts weakly with tubulin. Binding of the first analogue is accompanied by ligand fluorescence appearance, quenching of protein fluorescence, perturbation of the far-ultraviolet circular dichroism of tubulin, and induction of the tubulin GTPase activity, similarly to colchicine binding. Substoichiometric concentrations of the analogue inhibit microtubule assembly in vitro. Excess analogue concentration under microtubule-promoting conditions induces an abnormal cooperative polymerization of tubulin, similar to that of the tubulin-colchicine complex.     

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.     

A calorimetric and equilibrium investigation of the hydrolysis of lactose

The thermodynamics of the hydrolysis of lactose to glucose and galactose have been investigated using both high pressure liquid chromatography and heat-conduction microcalorimetry. The reaction was carried out over the temperature range 282-316 K and in 0.1 M sodium acetate buffer at a pH of 5.65 using the enzyme beta-galactosidase to catalyze the reaction. For the process lactose(aq) + H2O(liq) = glucose(aq) + galactose(aq), delta G0 = -8.72 +/- 0.20 kJ.mol-1, K0 = 34 +/- 3, delta H0 = 0.44 +/- 0.11 kJ.mol-1, delta S0 = 30.7 +/- 0.8 J.mol-1.K-1, and delta Cop = 9 +/- 20 J.mol-1.K-1 at 298.15 K. The standard state is the hypothetical ideal solution of unit molality. Thermochemical cycle calculations using enthalpies of combustion and solution, entropies, solubilities, activity coefficients, and apparent molar heat capacities have also been performed. These calculations indicate large discrepancies which are attributable primarily to errors in literature data on the enthalpies of combustion and/or third law entropies of the crystalline forms of the substrates.     

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.     

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 the Ca2+ binding to bovine alpha-lactalbumin

Bovine alpha-lactalbumin contains one strong Ca2+-binding site. The free energy (delta G0), enthalpy (delta H0), and entropy (delta S0) of binding of Ca2+ to this site have been calculated from microcalorimetric experiments. The enthalpy of binding was dependent on the metal-free bovine alpha-lactalbumin concentration. At 0.8 mg ml-1, metal-free bovine alpha-lactalbumin delta H0 was -110 +/- 6 kJ mol-1. At this concentration the binding constant was estimated from a mathematical analysis of the titration curves to be greater than 10(7) M-1. This means that delta G0 is smaller than -40 kJ mol-1 and delta S0 is less negative than -235 J.K-1 mol-1. The binding of Ca2+ is therefore enthalpy-driven. From binding experiments as a function of temperature, a delta Cp value of -4.1 kJ.K-1 mol-1 was calculated. This value is dependent on the protein concentration. A tentative explanation for this large value is given.     

Anion-induced increases in the affinity of colcemid binding to tubulin

Colcemid binds tubulin rapidly and reversibly in contrast to colchicine which binds tubulin relatively slowly and essentially irreversibly. At 37 degrees C the association rate constant for colcemid binding is 1.88 X 10(6) M-1 h-1, about 10 times higher than that for colchicine; this is reflected in the activation energies for binding which are 51.4 kJ/mol for colcemid and 84.8 kJ/mol for colchicine. Scatchard analysis indicates two binding sites on tubulin having different affinities for colcemid. The high-affinity site (Ka = 0.7 X 10(5) M-1 at 37 degrees C) is sensitive to temperature and binds both colchicine and colcemid and hence they are mutually competitive inhibitors. The low-affinity site (Kb = 1.2 X 10(4) M-1) is rather insensitive to temperature and binds only colcemid. Like colchicine, 0.6 mol of colcemid are bound/mol of tubulin dimer (at the high-affinity site) and the reaction is entropy driven (163 J K-1 mol-1). Similar to colchicine, colcemid binding to tubulin is stimulated by certain anions (viz. sulfate and tartrate) but by a different mechanism. Colcemid binding affinity at the lower-affinity site of tubulin is increased in the presence of ammonium sulfate. Interestingly, the lower-affinity site on tubulin for colcemid, even when converted to higher affinity in presence of ammonium sulfate, is not recognized by colchicine. We conclude that tubulin possesses two binding sites, one of which specifically recognized the groups present on the B-ring of colchicine molecule and is effected by the ammonium sulfate, whereas the higher-affinity site, which could accommodate both colchicine and colcemid, possibly recognized the A and C ring of colchicine.     

AMP interaction sites in glycogen phosphorylase b. A thermodynamic analysis

The binding of AMP to activator site N and to inhibitor site I in glycogen phosphorylase b has been characterized by calorimetry, potentiometry and ultracentrifugation in the pH range 6.5-7.5 at 25 degrees C (mu = 0.1). Calorimetric titration data of phosphorylase b with adenosine 5'-phosphoramidate are also reported at pH 6.9 (T = 25 degrees C, mu = 0.1). Calorimetric curves have been analyzed on the basis of potentiometric and sedimentation velocity results to determine thermodynamic quantities for AMP binding to the enzyme. The comparison of calorimetric titration data of AMP and adenosine 5'-phosphoramidate at pH 6.9 supports the hypothesis previously suggested that the dianionic phosphate form of the nucleotide preferentially binds to the allosteric activator site. The thermodynamic parameters for AMP binding to site N are as follows: delta G0 = -22 kJ mol-1, delta H0 = -34 kJ mol-1 and delta S0 = -40 J mol-1 K-1. The binding of the nucleotide to site I was found to be strongly dependent on the pH. This behaviour may be explained in terms of coupled protonations of three groups having pKa values of 6.0, 6.0 and 6.1 in the unbound form and 7.0, 7.5 and 7.2 in the enzyme-nucleotide complex. The thermodynamic parameters for nucleotide binding to site I for the enzymatic form in which all the modified groups are completely deprotonated or protonated have been calculated to be: delta G0 = -7.7 kJ mol-1, delta H0 = -28 kJ mol-1 and delta S0 = -68 J mol-1 K-1 and delta G0 = -28 kJ mol-1, delta H0H = -10 kJ mol-1 and delta S0H = 61 J mol-1 K-1, respectively. These results suggest that attractive dispersion forces are of primary significance for AMP binding to activator site N, although electrostatic interactions act as a stabilizing factor in the nucleotide binding. The protonation states of those residues of which the pKa values are modified by AMP binding to site I highly influence the thermodynamic parameters for the nucleotide binding to this site.     

Spectroscopic and kinetic features of allocolchicine binding to tubulin

Allocolchicine is a structural isomer of colchicine in which colchicine's tropone C ring is replaced with an aromatic ester. In spite of the structural differences between the two ligands, the association parameters for both molecules binding to tubulin are quite similar. The association constant for allocolchicine binding to tubulin was determined by fluorescence titration to be 6.1 x 10(5) M-1 at 37 degrees C, which is about a factor of 5 less than that of the colchicine-tubulin association. In particular, analysis of the kinetics of the association of allocolchicine with tubulin yielded nearly equivalent activation parameters for the two ligands. The activation energy of the allocolchicine binding reaction was found to be 18.4 +/- 1.5 kcal/mol, which is only slightly less than the activation energy for colchicine binding to tubulin. This finding argues against conformational flexibility of the C ring as the structural feature of colchicine responsible for the slow kinetics of colchicinoid-tubulin binding reactions. Tubulin binding promote a dramatic enhancement of allocolchicine fluorescence. Unlike colchicine, the emission energy and intensity of the tubulin-bound allocolchicine fluorescence can be mimicked by solvent, and a general hydrophobic environment for the ligand binding site is indicated. The excitation spectrum of the protein-bound species, however, is shown to possess two bands which center at higher and lower energy than the energy maximum of the spectrum of the ligand in apolar solvents, indicating that properties of the colchicine binding site in addition to a low dielectric constant contribute to the fluorescence of the bound species.(ABSTRACT TRUNCATED AT 250 WORDS)     

Thermodynamics of the binding of Streptomyces subtilisin inhibitor to alpha-chymotrypsin

The binding of Streptomyces subtilisin inhibitor (SSI) to alpha-chymotrypsin (CT) (EC 3.4.21.1) was studied by isothermal and differential scanning calorimetry at pH 7.0. Thermodynamic quantities for the binding of SSI to the enzyme were derived as functions of temperature from binding constants (S. Matsumori, B. Tonomura, and K. Hiromi, private communication) and isothermal calorimetric experiments at 5-30 degrees C. At 25 degrees C, the values are delta G degrees b = -29.9 kJ mol-1, delta Hb = +18.7 (+/- 1.3) kJ mol-1, delta S degrees b = +0.16 kJ K-1 mol-1, and delta C p,b = -1.08 (+/- 0.11) kJ mol-1. The binding of SSI to CT is weak compared with its binding to subtilisin [Uehara, Y., Tonomura, B., & Hiromi, K. (1978) J. Biochem. (Tokyo) 84, 1195-1202; Takahashi, K., & Fukada, H. (1985) Biochemistry 24, 297-300]. This difference is due primarily to a less favorable enthalpy change in the formation of the complex with CT. The hydrophobic effect is presumably the major source of the entropy and heat capacity changes which accompany the binding process. The unfolding temperature of the complex is about 7 degrees C higher than that of the free enzyme. The enthalpy and the heat capacity changes for the unfolding of CT were found to be 814 kJ mol-1 and 17.3 kJ K-1 mol-1 at 49 degrees C. The same quantities for the unfolding of the SSI-CT complex are 1183 kJ mol-1 and 39.2 kJ K-1 mol-1 at 57 degrees C.     

Thermodynamics of the conversion of penicillin G to phenylacetic acid and 6-aminopenicillanic acid

The thermodynamics of the enzymatic conversion (penicillin acylase) of aqueous penicillin G to phenylacetic acid and 6-aminopenicillanic acid have been studied using both high-pressure liquid-chromatography and microcalorimetry. The reaction was carried out in aqueous phosphate buffer over the pH range 6.0-7.6, at ionic strengths from 0.10 to 0.40 mol kg-1, and at temperatures from 292 to 322 K. The data have been analyzed using a chemical equilibrium model with an extended Debye-Hückel expression for the activity coefficients. For the reference reaction, penicillin G- (aq) + H2O(l) = phenylacetic acid-(aq) + 6-aminopenicillanic acid-(aq) + H+ (aq), the following parameters have been obtained: K = (7.35 +/- 1.5) X 10(-8) mol kg-1, delta G0 = 40.7 +/- 0.5 kJ mol-1, delta H0 = 29.7 +/- 0.6 kJ mol-1, and delta C0p = -240 +/- 50 J mol-1 K-1 at 298.15 K and at the thermochemical standard state. The extent of reaction for the overall conversion is highly dependent upon the pH.     

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.     

Thermodynamic analysis of the activation of glycogen phosphorylase b over a range of temperatures

Equilibrium dialysis and isothermal microcalorimetry experiments have been carried out to characterize the thermodynamics of the binding of AMP to glycogen phosphorylase b (EC 2.4.1.1) at pH 6.9 over the temperature range of 25-35 degrees C. Thermal titrations were performed at each temperature in various buffer systems, which have afforded the calculation of the number of protons exchanged when the AMP binds to each site in the protein. Thermodynamic parameters were obtained for the binding of AMP to the two nucleotide and the two inhibitor sites of the dimeric enzyme. The former show positive cooperativity while the latter behave as independent binding sites. A positive delta Cp value was obtained for the AMP binding to the two N sites (1.3 and 1.4 kJ K-1 mol-1), while the delta Cp was negative for the binding to the I sites (-1.9 kJ K-1 mol-1). The application of Sturtevant's method to our data (Sturtevant, J. M. (1977) Proc. Natl. Acad. Sci. U. S. A. 74, 2236-2240) and their comparison with a similar analysis undertaken with phosphorylase a (Mateo, P. L., González, J. F., Barón, C., Lopez-Mayorga, O., and Cortijo, M. (1986) J. Biol. Chem. 261, 17067-17072) has opened the way to some understanding of the thermodynamics of the allosteric transition in the protein.     

The thermodynamics of calcium binding to thermolysin

Calcium binding isotherms were determined for thermolysin in the range pH 5.6-10.5, and from 5 to 45 degrees C. An extensive statistical analysis of the binding data suggests that at least two of the four binding sites bind Ca2+ with complete positive cooperativity and independently of the other two. Nonlinear regression analysis of the binding data was used to calculate cooperative (K1) and independent (K2) binding constants for the four calcium sites. Thermodynamic parameters obtained from a van't Hoff analysis indicate that calcium binding to both cooperative and independent sites is an entropy-driven process. At pH 7.0, delta H1 = 90.4 kJ/mol; delta H2 = 97.5 kJ/mol; delta S1 = 456 J K-1 mol-1; delta S2 = 262 J K-1 mol-1. These results are compared to those obtained for other calcium-binding proteins. An analysis of the pH dependence of the calcium binding constants indicates that the binding of four protons at the cooperative site and one to two protons at the independent sites, modulates the calcium affinity. This confirms an earlier structural assignment of the double-site as the locus of the two cooperatively binding Ca2+. Calcium binding to thermolysin is enhanced in the presence of an active site directed inhibitor, suggesting that there may be positive cooperativity between substrate and calcium binding.     

Mechanism of colchicine binding to tubulin. Tolerance of substituents in ring C' of biphenyl analogues

The limits of structural variation of the substituent in position 4' of ring C' of biphenyl colchicine analogues (ring C in colchicine) were probed by the synthesis of a number of analogues and the examination of their binding to tubulin and its consequences. Binding was found to require the location in three-dimensional space of the oxygen in the 4'-substituent at a locus not far distant from those of the colchicine ring C oxygens. All those analogues that bind to the colchicine site of tubulin induced the GTPase activity and inhibited microtubule assembly, those containing a carbonyl group substoichiometrically and the others stoichiometrically. A similar relation was found for the induction of the abnormal polymerization of the colchicine analogue-tubulin complex, with methoxy-containing compounds requiring a higher temperature to induce the polymerization. A concerted analysis of the binding thermodynamics of colchicine and its various analogues has shown full consistency with the previously proposed two-step binding pathway that involves two nonidentical binding moieties in the ligand [Andreu, J. M., & Timasheff, S. N. (1982) Biochemistry 21, 534-543]. Comparison of the binding parameters of colchicine, its des(ring B) analogue (MTC), and ring A and C compounds individually with the thermodynamic parameters deduced for the first steps of the bindings of colchicine and MTC [Engelborghs, Y., & Fitzgerald, T. J. (1987) J. Biol. Chem. 262, 5204-5209] have led to the conclusion that binding can occur by two pathways leading to the identical product. In the first pathway, ring A binds first; this is followed by a rate-determining thermodynamically indifferent reaction (protein conformation change), and finally a rapid binding of ring C. In the second pathway, the events are the same except that the order of binding of the rings is reversed. Colchicine, due to the steric hindrance of ring B, can follow only the second pathway. For MTC, both kinetic pathways are open and binding may be initiated by random first contact of either ring A or ring C.     

Binding of simple carbohydrates and some of their chromophoric derivatives to soybean agglutinin as followed by titrimetric procedures and stopped flow kinetics

The number of carbohydrate-binding sites of the GalNAc-specific lectin is four per tetramer. The binding parameters of N-acetyl-D-galactosamine and methyl-N-acetyl-alpha-D- galactosaminide , were determined by titrating the perturbation in the absorption spectrum of the protein. For D-galactosides, it was necessary to use p-nitrophenyl-N-acetyl-beta-D- galactosaminide as an indicator in substitution titrations. The association constants K were determined at several temperatures yielding 2.4 X 10(4) M-1 at 25 degrees C with delta H degree' = -45 kJ mol-1 and delta S degree' = -67 J X K-1 mol-1 for methyl-N-acetyl-alpha-D- galactosaminide and 1.0 X 10(3) M-1 at 25 degrees C, delta H degree' = -38 kJ mol-1 and delta S degree' = -69 J X K-1 mol-1 for methyl-alpha-D-galactoside. The increase in K by a factor of 25 caused by the acetamido group is largely enthalpic . Whenever different methods were used to determine the association constant of a given compound, the agreement was excellent. The observed changes in absorption or fluorescence of all chromophoric carbohydrate derivatives used are specific for the binding of carbohydrates. For large aromatic beta- aglycons such as p-nitrophenyl or 4-methylumbelliferyl groups, the increase in K of the N-acetyl-D- galactosaminide moiety is by a factor of 2 or less, but for a large N-5-dimethylaminonaphthalene-1-sulfonyl (dansyl) group this factor is about 20 as compared with the acetyl group. The concomitant 10-fold increase in dansyl fluorescence, also observed with four other GalNAc-binding lectins together with a favorable and large delta S degree' = +60 J X K-1 mol-1 strongly point at the presence of a hydrophobic region in the vicinity of the carbohydrate-binding site. The results of stopped flow kinetics with 4-methylumbelliferyl-N-acetyl-beta-D- galactosaminide and the lectin are consistent with a simple mechanism for which k+ = 1.1 X 10(4) M-1 S-1 and k- = 0.4 S-1 at 25 degrees C. This k- is slower than for any monosaccharide-lectin complex reported so far.     

Podophyllotoxin as a probe for the colchicine binding site of tubulin.

The binding of [3H]podophyllotoxin to tubulin, measured by a DEAE-cellulose filter paper method, occurs with an affinity constant of 1.8 X 10(6) M-1 (37 degrees at pH 6.7). Like colchicine, approximately 0.8 mol of podophyllotixin are bound per mol of tubulin dimer, and the reaction is entropy-driven (43 cal deg-1 mol-1). At 37 degrees the association rate constant for podophyllotoxin binding is 3.8 X 10(6) M-1 h-1, approximtaely 10 times higher than for colchicine; this is reflected in the activation energies for binding which are 14.7 kcal/mol for podophyllotoxin and 20.3 kcal/mol for colchicine. The dissociation rate constant for the tubulin-podophyllotoxin complex is 1.9 h-1, and the affinity constant calculated from the ratio of the rates is close to that obtained by equilibrium measurements. Podophyllotxin and colchicine are mutually competitive inhibitors. This can be ascribed to the fact that both compounds have a trimethoxyphenyl ring and analogues of either compound with bulky substituents in their trimethoxyphenyl moiety are unable to inhibit the the binding of either of the two ligands. Tropolone, which inhibits colchicine binding competitively, has no effect on the podophyllotoxin/tubulin reaction. Conversely, podophyllotoxin does not influence tropolone binding. Moreover, the tropolone binding site of tubulin does not show the temperature and pH lability of the colchicine and podophyllotoxin domains, hence this lability can be ascribed to the trimethoxyphenyl binding region of tubulin. Since podophyllotoxin analogues with a modified B ring do not bind, it is concluded that both podophyllotoxin and colchicine each have at least two points of attachment to tubulin and that they share one of them, the binding region of the trimethoxyphenyl moiety.