Kinetic enzyme reaction mechanism studies

Thermodynamic concepts are useful to apply to the study of enzyme-mediated enzyme kinetics. Through a variety of reaction mechanisms, specific enzymes catalyze specific biochemical reactions to turn over faster than they would without the enzyme present. Making use of the fact that enzymes are not able to alter the overall thermodynamics (free energy, etc.) of a chemical reaction, we can develop sets of mathematical constraints that apply to the kinetic constants of enzyme reaction mechanism. 

A variety of techniques have been applied to investigate enzyme reaction mechanisms. Kinetic and X-ray crystallographic studies have made major contributions to the elucidation of enzyme mechanisms. Valuable information has been gained from chanical, spectroscopic and biochemical studies of the transition-state structures and intermediates of enzyme catalysis. Computational studies provide necessary refinement toward our understanding of enzyme mechanisms. The ability of an enzyme to accelerate the rate of a chemical reaction derives from the complementarity of the enzyme s active site structure to the activated complex. The transition state by definition has a very short lifetime ( 10 s). Stabilization of the transition state alone is necessary but not sufficient to give catalysis, which requires differential binding of substrate and transition state. Thus a detailed enzyme reaction mechanism can be proposed only when kinetic, chemical and structural components have been studied. The online enzyme catalytic mechanism database is accessible at EzCatDB (http //mbs.cbrc.jp/EzCatDB/). 

Kinetic studies of enzyme catalyses have been discussed. The special topics on X-ray crystallographic investigations of enzyme mechanisms have been reviewed (Lipcomb, 1983 Lolis and Petsko, 1990). We will now consider some of the connmon approaches employed to obtain information useful in the elnddation of enzyme reaction mechanisms. 

Kinetics is the branch of science concerned with the rates of chemical reactions. The study of enzyme kinetics addresses the biological roles of enzymatic catalysts and how they accomplish their remarkable feats. In enzyme kinetics, we seek to determine the maximum reaction velocity that the enzyme can attain and its binding affinities for substrates and inhibitors. Coupled with studies on the structure and chemistry of the enzyme, analysis of the enzymatic rate under different reaction conditions yields insights regarding the enzyme s mechanism of catalytic action. Such information is essential to an overall understanding of metabolism. 

The kinetics of enzyme reactions were first studied by the German chemists Leonor Michaelis and Maud Menten in the early part of the twentieth century. They found that, when the concentration of substrate is low, the rate of an enzyme-catalyzed reaction increases with the concentration of the substrate, as shown in the plot in Fig. 13.41. However, when the concentration of substrate is high, the reaction rate depends only on the concentration of the enzyme. In the Michaelis-Menten mechanism of enzyme reaction, the enzyme, E, and substrate, S, reach a rapid preequilibrium with the bound enzyme-substrate complex, ES ... 

The mechanism of the first half-reaction has been studied by a combination of reductive titrations with CO and sodium dithionite and pre-steady-state kinetic studies by rapid freeze quench EPR spectroscopy (FQ-EPR) and stopped-flow kinetics 159). These combined studies have led to the following mechanism. The resting enzyme is assumed to have a metal-bound hydroxide nucleophile. Evidence for this species is based on the similarities between the pH dependence of the EPR spectrum of Cluster C and the for the for CO, deter-... 

In this chapter we have seen that enzymatic catalysis is initiated by the reversible interactions of a substrate molecule with the active site of the enzyme to form a non-covalent binary complex. The chemical transformation of the substrate to the product molecule occurs within the context of the enzyme active site subsequent to initial complex formation. We saw that the enormous rate enhancements for enzyme-catalyzed reactions are the result of specific mechanisms that enzymes use to achieve large reductions in the energy of activation associated with attainment of the reaction transition state structure. Stabilization of the reaction transition state in the context of the enzymatic reaction is the key contributor to both enzymatic rate enhancement and substrate specificity. We described several chemical strategies by which enzymes achieve this transition state stabilization. We also saw in this chapter that enzyme reactions are most commonly studied by following the kinetics of these reactions under steady state conditions. We defined three kinetic constants—kai KM, and kcJKM—that can be used to define the efficiency of enzymatic catalysis, and each reports on different portions of the enzymatic reaction pathway. Perturbations... 

Mechanisms of Enzyme Action, Use of Product Inhibition and Other Kinetic Methods in the Study of (Walter). Mechanisms of Organic Electrode Reactions (Elving Pullman). ... 

Abstract This chapter introduces the basic principles used in applying isotope effects to studies of the kinetics and mechanisms of enzyme catalyzed reactions. Following the introduction of algebraic equations typically used for kinetic analysis of enzyme reactions and a brief discussion of aqueous solvent isotope effects (because enzyme reactions universally occur in aqueous solutions), practical examples illustrating methods and techniques for studying enzyme isotope effects are presented. Finally, computer modeling of enzyme catalysis is briefly discussed. 

Biocatalytk decarboxylation is a imique reaction, in the sense that it can be considered to be a protonation reaction to a carbanion equivalent intermediate in aqueous medimn. Thus, if optically active compoimds can be prepared via this type of reaction, it would be a very characteristic biotransformation, as compared to ordinary organic reactions. An enzyme isolated from a specific strain of Alcaligenes bronchisepticus catalyzes the asymmetric decarboxylation of a-aryl-a-methyhnalonic acid to give optically active a-arylpropionic acids. The effect of additives revealed that this enzyme requires no biotin, no co-enzyme A, and no ATP, as ordinary decarboxylases and transcarboxylases do. Studies on inhibitors of this enzyme and spectroscopic analysis made it clear that the Cys residue plays an essential role in the present reaction. The imique reaction mechanism based on these results and kinetic data in its support are presented. 

Kinetics of O-Methylaiion. The steady state kinetic analysis of these enzymes (41,42) was consistent with a sequential ordered reaction mechanism, in which 5-adenosyl-L-methionine and 5-adenosyl-L-homocysteine were leading reaction partners and included an abortive EQB complex. Furthermore, all the methyltransferases studied exhibited competitive patterns between 5-adenosyl-L-methionine and its product, whereas the other patterns were either noncompetitive or uncompetitive. Whereas the 6-methylating enzyme was severely inhibited by its respective flavonoid substrate at concentrations close to Km, the other enzymes were less affected. The low inhibition constants of 5-adenosyl-L-homocysteine (Table I) suggests that earlier enzymes of the pathway may regulate the rate of synthesis of the final products. 

We continue our study of chemical kinetics with a presentation of reaction mechanisms. As time permits, we complete this section of the course with a presentation of one or more of the topics Lindemann theory, free radical chain mechanism, enzyme kinetics, or surface chemistry. The study of chemical kinetics is unlike both thermodynamics and quantum mechanics in that the overarching goal is not to produce a formal mathematical structure. Instead, techniques are developed to help design, analyze, and interpret experiments and then to connect experimental results to the proposed mechanism. We devote the balance of the semester to a traditional treatment of classical thermodynamics. In Appendix 2 the reader will find a general outline of the course in place of further detailed descriptions. 

The kinetic parameters kcat and Km are generally useful for the study and comparison of different enzymes, whether their reaction mechanisms are simple or complex. Each enzyme has values of kcat and Km that reflect the cellular environment, the concentration of substrate normally encountered in vivo by the enzyme, and the chemistry of the reaction being catalyzed. 

Although the metaphosphate mechanism for hydrolysis is well documented, such a pathway remains to be demonstrated in a biological system. Our present knowledge of many enzymic reactions allows, at best, the formulation of a preliminary mechanism, i.e. the chemical identity of substrates and enzymic intermediates and the minimal kinetic scheme. For example, much recent attention has been focused on the remarkable stability of the covalent phos-phoryl-enzyme (an O-phosphoryl serine) derived from E. coii alkaline phosphatase28 and inorganic phosphate, and on a systematic kinetic study of the enzyme s substrate specificity (O-, N- and S-monoesters) -9. Dephosphorylation of the enzyme, however, does not appear to be via a metaphosphate mechanism30. 

The final step in riboflavin biosynthesis has been extensively investigated. Incorporation and degradation studies with synthetic (33) using cell-free systems and purified enzymes have shown that two molecules of (33) are utilized to afford one molecule of riboflavin and one molecule of (36). Significantly, the lumazine (33) labelled at the C-6 methyl with deuterium is converted to riboflavin labelled at C-5 and in the C-7 methyl. Based on this and kinetic and spectroscopic data, Plaut has proposed a detailed mechanism for the riboflavin synthetase reaction (B-71MI10402). It is noteworthy that this reaction can also be accomplished non-enzymatically under neutral conditions with the same stereospecificity observed in the enzymic reaction (69CC290). 

The kinetic mechanism of the reaction was studied,417,422 and the interaction of the enzyme with a series of analogs of UDP-JV-acetylmuramyl-pentapeptide modified in the uracil residue423 or in the amino acids of the peptide chain424,425 was investigated. Particularly, incorporation of spin label426 or of a fluorophore group427 into the polyprenyl monosaccharide-pentapeptide diphosphate was achieved through the enzymic reaction. 

Studies on the kinetic behaviour of nucleoside and nucleotide complexes are less common than those on structural aspects. This arises because of the rapid rates of the formation and dissociation reactions, requiring NMR or temperature-jump relaxation measurements. The number of species that can coexist in solution also hinders interpretation. The earlier kinetic studies have been reviewed by Frey and Stuehr.127 Two important biological reactions of the nucleotides are phosphoryl and nucleotidyl group transfers. Both reactions are catalytic nucleophilic reactions and they both require the presence of a divalent metal ion, in particular Mg2+. Consequently, one of the main interests has been in understanding the catalytic mechanism of the metal ion involvement. This has mainly involved studies on related non-enzymic reactions.128... 

Enzyme kinetics is studied for two reasons (1) it is a practical concern to determine the activity of the enzyme under different conditions (2) frequently the analysis of enzyme kinetics gives information about the mechanism of enzyme action. Chapter 7, Enzyme Kinetics, begins with an introductory section on the discovery of enzymes, basic enzyme terminology and a description of the six main classes of enzymes and the reactions they catalyze. The remainder of the chapter deals with basic aspects of chemical kinetics, enzyme-catalyzed reactions and various factors that affect the kinetics. 

Enzyme kinetics deals with the rate of enzyme reaction and how it is affected by various chemical and physical conditions. Kinetic studies of enzymatic reactions provide information about the basic mechanism of the enzyme reaction and other parameters that characterize the properties of the enzyme. The rate equations developed from the kinetic studies can be applied in calculating reaction time, yields, and optimum economic condition, which are important in the design of an effective bioreactor. 

Anti-cancer drugs that are sulfamate esters, ROSO2NH2, appear to act by inhibition of sulfatases. Now, kinetic studies of the aminolysis of p-nitrophenyl sulfamate (109) by secondary alicyclic amines in MeCN at 310 K are reported that model the enzyme reaction. The Brpnsted-type plot was biphasic, the break point at w 18.2 more or less corresponding to the pKa of the ester (109) (17.8). The proposed mechanism (Scheme 30) involves a sequential double deprotonation of (109) leading first, via (110), to the sulfenamine (112) and at higher basic strength to (111) and thence to a novel anionic sulfenamine (113), the products in each case being an V, V-dialkylsulfamide (114) and p-nitrophenol.114... 

The primary considerations in studies of inhibition mechanisms are reversibility and selectivity. The inhibition kinetics of reversible inhibition give considerable insight into the reaction mechanisms of enzymes and, for that reason, have been well studied. In general, reversible inhibition involves no covalent binding, occurs rapidly, and can be reversed by dialysis or, more rapidly, by dilution. Reversible inhibition is usually divided into competitive inhibition, uncompetitive inhibition, and noncompetitive inhibition. Because these types are not rigidly separated, many intermediate classes have been described. 

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