Detailed enzyme kinetics in terms of biochemical species: study of citrate synthase

The compulsory-ordered ternary catalytic mechanism for two-substrate two-product enzymes is analyzed to account for binding of inhibitors to each of the four enzyme states and to maintain the relationship between the kinetic constants and the reaction equilibrium constant. The developed quasi-steady flux expression is applied to the analysis of data from citrate synthase to determine and parameterize a kinetic scheme in terms of biochemical species, in which the effects of pH, ionic strength, and cation binding to biochemical species are explicitly accounted for in the analysis of the data. This analysis provides a mechanistic model that is consistent with the data that have been used support competing hypotheses regarding the catalytic mechanism of this enzyme.     

The chemical mechanism of action of glucose oxidase from Aspergillus niger

Glucose oxidase from Aspergillus niger (EC 1.1.3.4) is able to catalyze the oxidation of -D-glucose with p-benzoquinone, methyl-1,4-benzoquinone, 1,2-naphthoquinone, 1,2-naphthoquinone-4-sulfonic acid, potassium ferricyanide, phenazine methosulfate, and 2,6-dichloroindophenol. In this work, the steady-state kinetic parameters, V ₁/K _B , for reactions of these substrates were collected from pH 2.5–8. Further, the molecular models of the enzyme's active site were constructed for the free enzyme in the oxidized state, the complex of -D-glucose with the oxidized enzyme, the complex of reduced enzyme with methyl-1,4-benzoquinone, the reduced enzyme plus 1,2-naphthoquinone-4-sulfonic acid, oxidized enzyme plus reduced 1,2-naphthoquinone-4-sulfonic acid (hydroquinone anion), and oxidized enzyme plus fully reduced 1,2-naphthoquinone-4-sulfonic acid.Combining the steady-state kinetic and structural data, it was concluded that Glu412 bound to His559, in the active site of enzyme, modulates powerfully its catalytic activity by affecting all the rate constants in the reductive and the oxidative half-reaction of the catalytic cycle. His516 is the catalytic base in the oxidative and the reductive part of the catalytic cycle. It was estimated that the pK _a of Glu412 (bound to His559) in the free reduced enzyme is 3.4, and the pK _a of His516 in the free reduced enzyme is 6.9.     

Reversible inhibition of penicillinase by quinacillin: evaluation of mechanisms involving two conformational states of the enzyme.

Staphylococcal penicillinase (EC 3.5.2.6) is shown to undergo partial, fully reversible inactivation of benzylpenicillinase activity on incubation with the substrate quinacillin, the hydrolysis of which follows a corresponding biphasic time-course. The kinetics fit a scheme involving slow isomerization of the enzyme between conformational states that differ in K_m and V_max for quinacillin. The possibility that inactivation is related to formation of a previously observed covalent enzyme-quinacillin conjugate is ruled out because the kinetics of its formation differ from those of inactivation. This implies that the conjugate arises from a state of the enzyme substrate complex present during the normal catalytic cycle. The multiplicity of binding sites found suggests that a reactive catalytic intermediate substitutes several amino-acid side chains during denaturation of the enzyme-quinacillin mixture, thus providing an explanation of earlier results.     

Ionizable side chains at catalytic active sites of enzymes

Catalytic active sites of enzymes of known structure can be well defined by a modern program of computational geometry. The CASTp program was used to define and measure the volume of the catalytic active sites of 573 enzymes in the Catalytic Site Atlas database. The active sites are identified as catalytic because the amino acids they contain are known to participate in the chemical reaction catalyzed by the enzyme. Acid and base side chains are reliable markers of catalytic active sites. The catalytic active sites have 4 acid and 5 base side chains, in an average volume of 1,072 Å³. The number density of acid side chains is 8.3 M (in chemical units); the number density of basic side chains is 10.6 M. The catalytic active site of these enzymes is an unusual electrostatic and steric environment in which side chains and reactants are crowded together in a mixture more like an ionic liquid than an ideal infinitely dilute solution. The electrostatics and crowding of reactants and side chains seems likely to be important for catalytic function. In three types of analogous ion channels, simulation of crowded charges accounts for the main properties of selectivity measured in a wide range of solutions and concentrations. It seems wise to use mathematics designed to study interacting complex fluids when making models of the catalytic active sites of enzymes.     

Backbone dynamics of free barnase and its complex with barstar determined by 15N NMR relaxation study

Backbone dynamics of uniformly ¹⁵N-labeled free barnase and its complex with unlabelled barstar have been studied at 40°C, pH 6.6, using ¹⁵N relaxation data obtained from proton-detected 2D {¹H}-¹⁵N NMR spectroscopy. ¹⁵N spin-lattice relaxation rate constants (R₁), spin-spin relaxation rate constants (R₂), and steady-state heteronuclear {¹H}-¹⁵N NOEs have been measured at a magnetic field strength of 14.1 Tesla for 91 residues of free barnase and for 90 residues out of a total of 106 in the complex (excluding three prolines and the N-terminal residue) backbone amide ¹⁵N sites of barnase. The primary relaxation data for both the cases have been analyzed in the framework of the model-free formalism using both isotropic and axially symmetric models of the rotational diffusion tensor. As per the latter, the overall rotational correlation times (_m) are 5.0 and 9.5 ns for the free and complexed barnase, respectively. The average order parameter is found to be 0.80 for free barnase and 0.86 for the complex. However, the changes are not uniform along the backbone and for about 5 residues near the binding interface there is actually a significant decrease in the order parameters on complex formation. These residues are not involved in the actual binding. For the residues where the order parameter increases, the magnitudes vary significantly. It is observed that the complex has much less internal mobility, compared to free barnase. From the changes in the order parameters, the entropic contribution of NH bond vector motion to the free energy of complex formation has been calculated. It is apparent that these motions cause significant unfavorable contributions and therefore must be compensated by many other favorable contributions to effect tight complex formation. The observed variations in the motion and their different locations with regard to the binding interface may have important implications for remote effects and regulation of the enzyme action.     

Synthesis and characterization of an ionizable polyhexapeptide collagen model

Poly(Lys(HBr)-Gly-Pro-Pro-Gly-Pro) has been synthesized and studied by circular dichroism (CD) spectroscopy. It is apparently the first polyhexapeptide collagen model reported with an ionizable side chain. The monomer (ε-(p-nitrobenzyloxycarbonyl)-Lys-Gly-Pro-Pro-Gly-Pro-p-nitrophenyl-ester) was prepared by a stepwise strategy employing active esters. Polymerization in N,N-dimethyl formamide, followed by removal of the Lys side chain protection with HBr/acetic acid, gave a polydisperse product. Fractionation was accomplished by gel filtration chromatography. The polydisperse material had a molecular weight (M_r = 5–17,000). High molecular weight fractions from triple helices under concentrated conditions at 2°C. The triple helical structure gives a CD pattern very similar to that of collagen and its triple helical analogs. However, unlike collagen, the polyhexapeptide undergoes spontaneous dissociation at temperatures substantially below the melting temperature from a triple helical form to single chains. This process is promoted at low concentrations, high temperature, neutral pH, and low molecular weight, and is apparently due, in large part, to unfavorable ionic side-chain interactions. In addition to this relatively slow “ionic” dissociation the triple helical polypeptide may be thermally dissociated in a manner similar to collagen. The thermal denaturation is a relatively fast process compared with ionic dissociation. A high molecular weight fraction (3 × M_r = 48,000) was found to melt at 42°C at neutral pH but increased to 54°C at pH 12 where the lysyl side chains are predominantly deprotonated. Furthermore, reconstitution of triple helices appeared to be more readily achieved at high pH. Thus it is concluded that ionic repulsion between side chains causes destabilization of the triple helix and hinders reconstitution.     

Reactions of the amino groups in ribonuclease A: I. Kinetic studies

A kinetic analysis has been made of the reaction of the amino groups of ribonuclease A with trinitrobenzene-sulfonic acid. The number of reactive groups and the number of subsets were markedly dependent on the nature and concentrations of the buffer and the pH. Apparent values of pK_a, calculated from the variation of the velocity constants with pH, could, in general, be obtained only for pH values above 7.4. Below this pH the velocity constants were greater than the values calculated from the intrinsic constants. The values of pK_a were in the range of 7.9 – 9.0, which are somewhat smaller than those derived from titration data.The change of behavior of the amino groups with pH is confirmed by a study of the effects of ionic strength on the reactions.The velocity constants generally appear to decrease with increasing concentration of protein.It is shown that there is a close correlation between the pH region in which large changes occur of the reactivities of the amino groups of RNase and the kinetics of the enzyme reaction.     

The effects of solvent viscosity on the kinetic parameters of myosin and heavy meromyosin ATPase

The effects of different solvent viscosities on the kinetic parameters of ATP hydrolysis by myosin and heavy meromyosin (HMM) were investigated at high and low ionic strength (i.e., 0.53 and 0.08 M KCl where myosin is polymerized into thick filament). The solvent viscosity was adjusted by the addition of appropriate amounts of sucrose. The maximum rate constants (V _m ) for both myosin and HMM decreased monotonically with increasing solvent viscosity at either ionic strength. The Michaelis constants (K _m ) for soluble myosin and HMM became minima at a viscosity nearly twice that of the solvent without sucrose, then increased abruptly with increasing solvent viscosity. On the other hand,K _m of polymerized myosin at the low ionic strength decreased monotonically with increasing solvent viscosity. These experimental results are discussed with special reference to Kramers' kinetic theory of a chemically reacting system in viscous media.     

The oxidation state of active site thiols determines activity of saccharopine dehydrogenase at low pH

Saccharopine dehydrogenase catalyzes the NAD-dependent conversion of saccharopine to generate l-lysine and α-ketoglutarate. A disulfide bond between cysteine 205 and cysteine 249, in the vicinity of the dinucleotide-binding site, is observed in structures of the apoenzyme, while a dithiol is observed in a structure with AMP bound, suggesting preferential binding of the dinucleotide to reduced enzyme. Mutation of C205 to S gave increased values of V/E_t and V/KE_t at pH 7 compared to wild type. Primary deuterium and solvent deuterium kinetic isotope effects suggest the catalytic pathway, which includes the hydride transfer and hydrolysis steps, contributes more to rate limitation in C205S, but the rates of the two steps relative to one another remain the same. There is a large increase in the rate constants V₁/E_t and V₁/K_NADEt at pH values below 7 compared to WT. Data indicate the low pH increase in activity results from a decreased sensitivity of the C205S mutant enzyme to the protonation state of an enzyme group with a pK_a of about 7, likely responsible for a pH-dependent conformational change. Reduction of WT and C205S mutant enzymes with TCEP gives equal activities at pH 6, consistent with the increased activity observed for the C205S mutant enzyme.     

The crystal structure of spermidine/spermine N1-acetyltransferase in complex with spermine provides insights into substrate binding and catalysis

The enzyme spermidine/spermine N (1)-acetyltransferase (SSAT) catalyzes the transfer of acetyl groups from acetylcoenzyme A to spermidine and spermine, as part of a polyamine degradation pathway. This work describes the crystal structure of SSAT in complex with coenzyme A, with and without bound spermine. The complex with spermine provides a direct view of substrate binding by an SSAT and demonstrates structural plasticity near the active site of the enzyme. Associated water molecules bridge several of the intermolecular contacts between spermine and the enzyme and form a "proton wire" between the side chain of Glu92 and the N1 amine of spermine. A single water molecule can also be seen forming hydrogen bonds with the side chains of Glu92, Asp93, and the N4 amine of spermine. Site-directed mutation of Glu92 to glutamine had a detrimental effect on both substrate binding and catalysis and shifted the optimal pH for enzyme activity further into alkaline solution conditions, while mutation of Asp93 to asparagine affected both substrate binding and catalysis without changing the pH dependence of the enzyme. Considered together, the structural and kinetic data suggest that Glu92 functions as a catalytic base to drive an otherwise unfavorable deprotonation step at physiological pH.     

Activities of anionic and cationic trypsins in the temperature range from 5 to 37 degrees C. Mutant anionic trypsins as a model of cold-adapted (psychrophilic) enzymes

Temperature dependences of kinetic constants (k _cat and K _m) were studied for enzymatic hydrolysis of N-succinyl-L-alanyl-L-alanyl-L-prolyl-L-arginine-p-nitroanilide and N-succinyl-L-alanyl-L-alanyl-L-prolyl-L-lysine-p-nitroanilide by bovine cationic and rat anionic (wild-type and mutant) trypsins. The findings were compared with the corresponding literature data for hydrolysis of N-benzoyl-DL-arginine-p-nitroanilide by bovine cationic trypsin and natural trypsins of coldadapted fishes. The anionic and cationic trypsins were found to differ in organization of the S₁ -substrate-binding pocket. The difference in the binding of lysine and arginine residues to this site (S₁) was also displayed by opposite temperature dependences of hydrolysis constants for the corresponding substrates by the anionic and cationic trypsins. The data suggest that the effect of any factor on the binding of substrates (the K _m value) to the anionic and cationic trypsins and on the catalytic activity k _cat should be compared only with the corresponding data for the natural enzyme of the same type. Mutants of rat anionic trypsin at residues K188 or Y228 were prepared by site-directed mutagenesis as approximate models of natural psychrophilic trypsins. Substitution of the charged lysine residue in position 188 by hydrophobic phenylalanine residue shifted the pH optimum of the resulting mutant trypsin K188F from 8.0 to 9.0-10.0, similarly to the case of some natural psychrophilic trypsins, and also 1.5-fold increased its catalytic activity at low temperatures as compared to the wild-type enzyme.     

Ferric complexes of acetoacetyl derivatives of poly(L-lysine), poly(L-ornithine), and poly(L-diaminobutyric acid). I. Preparation and absorption properties in solution

Poly(N^ε-acetoacetyl-L -lysine), poly(N^δ-acetoacetyl-L -ornithine) and poly(N^γ-acetoacetyl-L -diaminobutyric acid) form colored complexes with ferric ions in water/dioxane solutions. These complexes are soluble at pH values lower than 2.8 and show their maximum absorption at 257 nm in the uv and at 478 nm in the visible region; whereas the ferric complex of the model compound n-hexylacetoacetamide exhibits absorptions centered at 258 and 536 nm, respectively. It is shown that in the complex of the model compound one metal ion is bound per acetoacetamide group, while in the complexes of the three polymers two β-ketoamides side chains are bound per ferric ion under the same solvent, pH, concentration, and ionic strength conditions. The binding constants of ferric ions to the three polymers, and the formation constant of the ferric complex of the model compound are also evaluated.     

Active Center and Mode of Reaction of Blasticidin S Deaminase

Blasticidin S deaminase (EC 3.5.4.23) was purified by affinity chromatography using a column of Sepharose 4B coupled with pyrimidinoblasticidin S as a ligand. The Michaelis constant Km and the maximum velocity F_max varied with pH, which suggests that enzyme ionization is important either for substrate binding or for catalytic activity. The inflection point at pH 8.6 ~ 8.9 in the plot of pKm versus pH was attributed to an enzyme amino group which corresponded to the carboxyl group of substrates, and an inflection at pH 5.3 in the log V_max-pH plot was assigned to the imidazole group of histidine, which appeared to be critical for catalytic deaminohydroxylation. The binding of substrates by the enzyme was inferred to be promoted thermodynamically, and activation of the substrate-enzyme complex was presumed to proceed endothermically. From the results obtained, a hypothetical mode of reaction for blasticidin S deaminase is proposed.     

The chemical mechanism of action of glucose oxidase from Aspergillus niger

Glucose oxidase from Aspergillus niger (EC 1.1.3.4) is able to catalyze the oxidation of beta-D-glucose with p-benzoquinone, methyl-1,4-benzoquinone, 1,2-naphthoquinone, 1,2-naphthoquinone-4-sulfonic acid, potassium ferricyanide, phenazine methosulfate, and 2,6-dichloroindophenol. In this work, the steady-state kinetic parameters, V1/K(B), for reactions of these substrates were collected from pH 2.5-8. Further, the molecular models of the enzyme's active site were constructed for the free enzyme in the oxidized state, the complex of beta-D-glucose with the oxidized enzyme, the complex of reduced enzyme with methyl-1,4-benzoquinone, the reduced enzyme plus 1,2-naphthoquinone-4-sulfonic acid, oxidized enzyme plus reduced 1,2-naphthoquinone-4-sulfonic acid (hydroquinone anion), and oxidized enzyme plus fully reduced 1,2-naphthoquinone-4-sulfonic acid. Combining the steady-state kinetic and structural data, it was concluded that Glu412 bound to His559, in the active site of enzyme, modulates powerfully its catalytic activity by affecting all the rate constants in the reductive and the oxidative half-reaction of the catalytic cycle. His516 is the catalytic base in the oxidative and the reductive part of the catalytic cycle. It was estimated that the pKa of Glu412 (bound to His559) in the free reduced enzyme is 3.4, and the pKa of His516 in the free reduced enzyme is 6.9.     

Metal-mediated reduction of cytochrome c by thioglycolic acid

The reduction of cytochrome c by thioglycolic acid was found to be extremely sensitive to metal catalysis. The rate of the uncatalyzed reaction was negligible in comparison with rates obtained from reactions supplemented with catalytic amounts of copper or iron. Both the catalyzed and uncatalyzed reactions were independent of pH (near neutrality) but when o-phenanthroline was included in the reaction mixture, a pH dependence was induced. This pH dependence is the result of an interference of oxygen with the metal complexes. A comparison of the rate constants at zero ionic strenght, which were obtained from the application of the Debye-Hückel theory for the ionic strength dependence, demonstrated that copper complexes are superior catalysts as compared with iron complexes. Our results suggest that in the copper-mediated reaction, the catalyst is a cupric thioglycolate complex with a net charge of ?2. The addition of o-phenanthroline to the reaction mixture results in a tenfold decrease in the catalytic activity and in a change in the net charge of the catalyst to ?1. At pH 8 the iron-mediated reduction is catalyzed by a ferric thioglycolate complex, whereas at pH 7 a ferrothioglycolate complex provides the catalytic activity. Both complexes have a net negative charge of ?2. At both pH's the catalytic activity is completely abolished by the addition of o-phenanthroline. The results demonstrate the effectiveness by which metal-sulfur complexes can facilitate one-electron transfer reactions and could there-fore serve as a model in the study of various biological oxidations.     

Investigation of the Role of a Conserved Glycine Motif in the Saccharomyces cerevisiae Xylose Reductase

All yeast xylose reductases, with the exception of that from Schizosaccharomyces pombe, possess the catalytic and coenzyme-binding elements from both the aldo–keto reductase and short-chain dehydrogenase–reductase (SDR) enzyme families in their primary sequences. In the Saccharomyces cerevisiae xylose reductase (XR), the SDR-like coenzyme-binding GXXXGXG motif (Gly motif) is located between residues 128 and 134, with the third Gly residue being replaced by an Asp. We used site-directed mutagenesis to study the role of this SDR-like Gly motif in the S. cerevisiae xylose reductase. Site-directed mutagenesis of the individual conserved Gly residue positions (G128A, G132A, D134G, and D134A) did not significantly affect the specific activity, kinetic constants (K_m, K_cat, and K_cat/K_m), or dissociation constants (K_d) in any of the variants compared with the wild type. Deletion of the entire Gly motif produced an unstable protein that could not be purified. These results indicate that the SDR-like Gly motif likely provides support to the overall structure of the enzyme, but it does not contribute directly to coenzyme binding in this XR.     

Enhancement of the ozonation of wine distillery wastewaters by an aerobic pretreatment

The decomposition of the organic substrate present in wine distillery wastewaters (WDW) is studied in batch reactors, by an ozonation process, by an aerobic degradation and by another ozonation of the aerobically pretreated wastewaters. In the ozonation process, the effects on the substrate removal obtained of the temperature, pH and the presence of H₂O₂ and UV radiation are established, and an approximate kinetic study is conducted which leads to the evaluation of the apparent kinetic constants for the substrate reduction. In the aerobic degradation treatment, the evolution of the substrate, biomass and total phenolic compounds are followed during the process, and a kinetic study is performed by using the Contois model, which applied to the experimental data provides the specific kinetic parameters q_max and K₁. Finally, in the ozonation of the pretreated wastewaters, the?influence of the operating variables is established, and the effect of this aerobic pretreatment on the substrate removal and kinetic constants obtained in the ozonation stage is also discussed.