The perfection of substrate-channelling in interacting enzyme systems: energetics and evolution

Some implications of substrate channelling in interacting enzyme systems are considered, with regard to the energetics and evolution of enzyme action. The transient time, a key analytical parameter relating to the phenomenon of channelling, is the basis of our kinetic study. Bounds on the kinetics of multienzyme complexes are established using (apparent) rate constants emanating from the transient-time formulation of coupled reactions. From a transition state representation of the rate process, it is shown how dynamically and statically organized enzyme systems lead to the modification of current ideas on the evolutionary optimization of the energy profile of enzyme catalysis in situ.     

A kinetic description of sequential,reversible, Michaelis-Menten reactions: practical application of theory to metabolic pathways

Equations are presented which describe a linear coupled system of reactions that utilize a single substrate and convert it to product by way of several intermediate enzyme catalysed steps. The present analysis extends previous results by assuming that the enzymes obey reversible Michaelis-Menten kinetics. In order for the system to reach steady state one must assume that the initial substrate concentration and the final product concentration are buffered to a constant value. Using the present analysis it can be shown that the system will not enter a steady state if the maximal velocity of any forward reaction is less than the steady state flux through the system. This condition represents a practical test for determining if a system will enter steady state but is valid only when the rate of the primary enzyme is not affected allosterically be intermediates in the pathway. The equations are used to analyse a portion of the rat liver glycogenic pathway that catalyses the conversion of glucose to fructose 1,6-bisphosphate.     

A prokaryotic acyl-CoA reductase performing reduction of fatty acyl-CoA to fatty alcohol

The reduction of acyl-CoA or acyl-ACP to fatty alcohol occurs via a fatty aldehyde intermediate. In prokaryotes this reaction is thought to be performed by separate enzymes for each reduction step while in eukaryotes these reactions are performed by a single enzyme without the release of the intermediate fatty aldehyde. However, here we report that a purified fatty acyl reductase from Marinobacter aquaeolei VT8, evolutionarily related to the fatty acyl reductases in eukaryotes, catalysed both reduction steps. Thus, there are at least two pathways existing among prokaryotes for the reduction of activated acyl substrates to fatty alcohol. The Marinobacter fatty acyl reductase studied has a wide substrate range in comparison to what can be found among enzymes so far studied in eukaryotes.     

A Kinetic Analysis of Coupled (or Auxiliary) Enzyme Reactions

As a case study, we consider a coupled (or auxiliary) enzyme assay of two reactions obeying the Michaelis–Menten mechanism. The coupled reaction consists of a single-substrate, single-enzyme non-observable reaction followed by another single-substrate, single-enzyme observable reaction (indicator reaction). In this assay, the product of the non-observable reaction is the substrate of the indicator reaction. A mathematical analysis of the reaction kinetics is performed, and it is found that after an initial fast transient, the coupled reaction is described by a pair of interacting Michaelis–Menten equations. Moreover, we show that when the indicator reaction is fast, the quasi-steady-state dynamics are governed by three fast variables and one slow variable. Timescales that approximate the respective lengths of the indicator and non-observable reactions, as well as conditions for the validity of the Michaelis–Menten equations, are derived. The theory can be extended to deal with more complex sequences of enzyme-catalyzed reactions.     

Enzymic determination of inorganic phosphates, organic phosphates and phosphate-liberating enzymes by use of nucleoside phosphorylase-xanthine oxidase (dehydrogenase)-coupled reactions.

Coupled enzyme assays are described for measuring inorganic phosphates, organic phosphates and phosphate-liberating enzymes in biological material. The assays all determine Pi by its reaction with inosine, catalysed by nucleoside phosphorylase; this yields ribose 1-phosphate and hypoxanthine. The hypoxanthine is oxidized to uric acid by xanthine oxidase, and may be measured either by the absorbance of the uric acid, or by the formazan formed when a tetrazolium salt is used as the oxidant. The coupled enzyme assays are characterized by high sensitivity, quantitative utilization of phosphates and stoichiometric formation of the measurable products, measurement at pH 6.0-8.5, determination of phosphates within a single analytical step, and continuous measurement of phosphohydrolase activity in a corresponding rate assay. Examples include determinations of substrates such as Pi, PPi and AMP, and of enzymes such as 5'-nucleotidase, inorganic pyrophosphatase and glucose-6-phosphatase. Directions for further examples are given.     

A generalized theory of the transition time for sequential enzyme reactions.

In a sequence of coupled enzyme reactions the steady-state production of product is preceded by a lag period or transition time during which the intermediates of the sequence are accumulating. Provided that a steady state is eventually reached, the magnitude of this lag may be calculated, even when the differentiation equations describing the process have no analytical solution. The calculation may be made for simple systems in which the enzymes obey Michaelis-Menten kinetics or for more complex pathways in which intermediates act as modifiers of the enzymes. The transition time associated with each intermediate in the sequence is given by the ratio of the appropriate steady-state intermediate concentration to the steady-state flux. The theory is also applicable to the transition between steady states produced by flux changes. Application of the theory to coupled enzyme assays allows a definition of the minimum requirements for successful operation of the assay. The theory can be extended to deal with sequences in which the enzyme concentration exceeds substrate concentration.     

RNA capping enzyme and DNA ligase: a superfamily of covalent nucleotidyl transferases

mRNA capping entails GMP transfer from GTP to a 5' diphosphate RNA end to form the structure G(5')ppp(5')N. A similar reaction involving AMP transfer to the 5' monophosphate end of DNA or RNA occurs during strand joining by polynucleotide ligases. In both cases, nucleotidyl transfer occurs through a covalent lysyl-NMP intermediate. Sequence conservation among capping enzymes and ATP-dependent ligases in the vicinity of the active site lysine (KxDG) and at five other co-linear motifs suggests a common structural basis for covalent catalysis. Mutational studies support this view. We propose that the cellular and DNA virus capping enzymes and ATP-dependent ligases constitute a protein superfamily evolved from a common ancestral enzyme. Within this superfamily, the cellular capping enzymes display more extensive similarity to the ligases than they do to the poxvirus capping enzymes. Recent studies suggest that eukaryotic RNA viruses have evolved alternative pathways of cap metabolism catalysed by structurally unrelated enzymes that nonetheless employ a phosphoramidate intermediate. Comparative analysis of these enzymes, particularly at the structural level, should illuminate the shared reaction mechanism while clarifying the basis for nucleotide specificity and end recognition. The capping enzymes merit close attention as potential targets for antiviral therapy.     

A simple approach to identify the mechanism of intermediate transfer: enzyme system related to triose phosphate metabolism

A new approach is described to identify the mechanism of transfer of intermediates of consecutive reactions catalysed by two functionally related enzymes. Interactions resulting in conformational changes of the individual enzymes and/or channelling of the intermediate can be identified by comparing the rate constants of the coupled and individual reactions. Using these kinetic parameters, the relative specific radioactivity of the end product can be calculated according to the different mechanisms. The comparison of these values with the experimentally determined relative specific radioactivity enhances the sensitivity of the determination. The interaction between aldolase (D-fructose-1,6-bisphosphate D-glyceraldehyde-3-phosphate-lyase, EC 4.1.2.13) and glyceraldehyde-3-phosphate dehydrogenase (D-glyceraldehyde-3-phosphate:NAD+ oxidoreductase (phosphorylating), EC 1.2.1.12) was analysed. The data agree with the model in which channeling of the intermediate was assumed. The results suggest that glyceraldehyde 3-phosphate is functionally compartmentalised within the reconstituted enzyme system, which may be relevant under physiological conditions.     

A kinetic study of hypoxanthine oxidation by milk xanthine oxidase.

The course of the reaction sequence hypoxanthine----xanthine----uric acid catalysed by xanthine:oxygen oxidoreductase from milk was investigated on the basis of u.v. spectra taken during the course of hypoxanthine and xanthine oxidations. It was found that xanthine accumulated in the reaction mixture when hypoxanthine was used as a substrate. The time course of the concentrations of hypoxanthine, xanthine intermediate and uric acid product was simulated numerically. The mathematical model takes into account the competition of substrate, intermediate and product and the accumulation of the intermediate at the enzyme. This type of analysis permits the kinetic parameters of the enzyme for hypoxanthine and xanthine to be obtained.     

Insights into the mechanism and regulation of pyruvate carboxylase by characterisation of a biotin-deficient mutant of the Bacillus thermodenitrificans enzyme

Pyruvate carboxylase is a biotin-dependent enzyme in which the biotin is carboxylated by a putative carboxyphosphate intermediate that is formed in a reaction between ATP and bicarbonate. The resultant carboxybiotin then transfers its carboxyl group to pyruvate to form oxaloacetate. In the Bacillus thermodenitrificans enzyme the biotin is covalently attached to K1112. A mutant form of the enzyme (K1112A) has been prepared which is not biotinylated. This mutant did not catalyse the complete reaction, but did catalyse ATP-cleavage and the carboxylation of free biotin. Oxaloacetate decarboxylation was not catalysed, even in the presence of free biotin, suggesting that only the biotin carboxylation domain of the enzyme is accessible to free biotin. This mutant allowed the study of ATP-cleavage both coupled and not coupled to biotin carboxylation. Kinetic analyses of these reactions indicate that the major effect of the enzyme activator, acetyl CoA, is to promote the carboxylation of biotin. Acetyl CoA reduces the K(m)s for both MgATP and biotin. In addition, pH profiles of the ATP-cleavage reaction in the presence and absence of free biotin revealed the involvement of several ionisable residues in both ATP-cleavage and biotin carboxylation. K1112A also catalyses the phosphorylation of ADP from carbamoyl phosphate. Stopped-flow studies using the fluorescent ATP analogue, formycin A-5'-triphosphate, in which nucleotide binding to the holoenzyme was compared to K1112A indicated that the presence of biotin enhanced binding. Attempts to trap the putative carboxyphosphate intermediate in K1112A using diazomethane were unsuccessful.     

Steady state kinetics of consecutive enzyme catalysed reactions involving single substrates: procedures for the interpretation of coupled assays

Sets of differential rate equations are written describing a linear sequence of reactions occurring in solution each catalysed by a control enzyme or one of the Michaelis-Menten type. It is shown that the solutions of these equations may be formulated as a set of Maclaurin polynomials, expressing the concentration of each reactant and of final product as a function of time. From arrays of such polynomials, general expressions are induced for the first non-zero term of the series. These are used to formulate a procedure (illustrated with an example simulated by numerical integration) by which results of coupled enzymic assays may be analysed in terms of maximal velocities and apparent Michaelis constants: correlation is made with other established methods for conducting coupled assays. The present procedure assumes a steady state of enzyme-substrate complexes but not of intermediate reactants.     

Energy coupling in type II topoisomerases: why do they hydrolyze ATP?

Type II topoisomerases are essential enzymes in all cells. They help to solve the topological problems of DNA by passing one double helix through a transient break in another, in a reaction coupled to the hydrolysis of ATP. Members of one class of the enzymes, DNA gyrases, are configured to carry out an intramolecular reaction, removing positive supercoiling and introducing negative supercoiling into circular DNA using free energy derived from ATP hydrolysis. The nonsupercoiling class, including bacterial topoisomerase IV and eukaryotic topoisomerase II enzymes, can carry out both intra- and intermolecular reactions, and their primary role is the unlinking (decatenation) of daughter replicons before partition. In these enzymes, ATP hydrolysis is coupled to a reduction in DNA complexity (catenation, supercoiling, and knotting) below the level expected at equilibrium. This review discusses our current understanding of the mechanisms behind the coupling of the energy of ATP hydrolysis to topological changes catalyzed by both of these classes of enzyme.     

Transient model of thermal deactivation of enzymes

The kinetics of enzyme deactivation provide useful insights on processes that determine the level of biological function of any enzyme. Photinus pyralis (firefly) luciferase is a convenient enzyme system for studying mechanisms and kinetics of enzyme deactivation, refolding, and denaturation caused by various external factors, physical or chemical by nature. In this report we present a study of luciferase deactivation caused by increased temperature (i.e., thermal deactivation). We found that deactivation occurs through a reversible intermediate state and can be described by a Transient model that includes active and reversibly inactive states. The model can be used as a general framework for analysis of complex, multiexponential transient kinetics that can be observed for some enzymes by reaction progression assays. In this study the Transient model has been used to develop an analytical model for studying a time course of luciferase deactivation. The model might be applicable toward enzymes in general and can be used to determine if the enzyme exposed to external factors, physical or chemical by nature, undergoes structural transformation consistent with thermal mechanisms of deactivation.     

Anaerobic stopped-flow studies of indole-3-acetic acid oxidation by dioxygen catalysed by horseradish C and anionic tobacco peroxidase at neutral pH: catalase effect

The effect of order of reagent mixing in the absence and in the presence of catalase on the transient kinetics of indole-3-acetic acid (IAA) oxidation by dioxygen catalysed by horseradish peroxidase C and anionic tobacco peroxidase at neutral pH has been studied. The data suggest that haem-containing plant peroxidases are able to catalyse the reaction in the absence of exogenous hydroperoxide. The initiation proceeds via the formation of the ternary complex enzyme-->IAA-->oxygen responsible for IAA primary radical generation. The horseradish peroxidase-catalysed reaction is independent of catalase indicating a significant contribution of free radical processes into the overall mechanism. This is in contrast to the tobacco peroxidase-catalysed reaction where the peroxidase cycle plays an important role. The transient kinetics of IAA oxidation catalysed by tobacco peroxidase exhibits a biphasic character with the first phase affected by catalase. The first phase is therefore associated with the common peroxidase cycle while the second is ascribed to native enzyme interaction with skatole peroxy radicals yielding directly Compound II.     

The role of enzyme dynamics and tunnelling in catalysing hydride transfer: studies of distal mutants of dihydrofolate reductase

Residues M42 and G121 of Escherichia coli dihydrofolate reductase (ecDHFR) are on opposite sides of the catalytic centre (15 and 19 A away from it, respectively). Theoretical studies have suggested that these distal residues might be part of a dynamics network coupled to the reaction catalysed at the active site. The ecDHFR mutant G121V has been extensively studied and appeared to have a significant effect on rate, but only a mild effect on the nature of H-transfer. The present work examines the effect of M42W on the physical nature of the catalysed hydride transfer step. Intrinsic kinetic isotope effects (KIEs), their temperature dependence and activation parameters were studied. The findings presented here are in accordance with the environmentally coupled hydrogen tunnelling. In contrast to the wild-type (WT), fluctuations of the donor-acceptor distance were required, leading to a significant temperature dependence of KIEs and deflated intercepts. A comparison of M42W and G121V to the WT enzyme revealed that the reduced rates, the inflated primary KIEs and their temperature dependences resulted from an imperfect potential surface pre-arrangement relative to the WT enzyme. Apparently, the coupling of the enzyme's dynamics to the reaction coordinate was altered by the mutation, supporting the models in which dynamics of the whole protein is coupled to its catalysed chemistry.     

Reaction mechanism of GTP cyclohydrolase I: single turnover experiments using a kinetically competent reaction intermediate

GTP cyclohydrolase I catalyses the transformation of GTP into dihydroneopterin 3'-triphosphate, which is the first committed precursor of tetrahydrofolate and tetrahydrobiopterin. The kinetically competent reaction intermediate, 2-amino-5-formylamino-6-ribosylamino-4(3H)-pyrimidinone, was used as substrate for single turnover experiments monitored by multiwavelength photometry. The early reaction phase is characterized by the rapid appearance of an optical transient with an absorption maximum centred at 320. This species is likely to represent a Schiff base intermediate at the initial stage of the Amadori rearrangement of the carbohydrate side-chain. Deconvolution of the optical spectra suggested four linearly independent processes. A fifth reaction step was attributed to photodecomposition of the enzyme product. Pre-steady state experiments were also performed with the H179A mutant which can catalyse a reversible conversion of GTP to 2-amino-5-formylamino-6-ribosylamino-4(3H)-pyrimidinone but is unable to form the final product, dihydroneopterin triphosphate. Optical spectroscopy failed to detect any intermediate in the reversible reaction sequence catalysed by the mutant protein. The data obtained with the wild-type and mutant protein in conjunction with earlier quenched flow studies show that the enzyme-catalysed opening of the imidazole ring of GTP and the hydrolytic release of formate from the resulting formamide type intermediate are both rapid reactions by comparison with the subsequent rearrangement of the carbohydrate side-chain which precedes the formation of the dihydropyrazine ring of dihydroneopterin triphosphate.     

Palmitoyl-coenzyme A synthetase. Mechanism of reaction

The mechanism of long-chain fatty acid activation catalysed by highly purified microsomal palmitoyl-CoA synthetase was investigated. The kinetics of the overall reaction were found to conform to the Bi Uni Uni Bi Ping Pong mechanism. (18)O was transferred from [(18)O]palmitate to AMP and palmitoyl-CoA exclusively. The enzyme intermediate formed appeared to consist of enzyme-bound palmitate; this formation occurred only in the presence of ATP. However, the involvement of palmitoyl-AMP in the reaction catalysed by the purified enzyme has proved difficult to establish.     

The enantioselectivity of enzymes monitored using a chiral detector

Summary A chiral detector coupled to an HPLC system has been used to follow the enantioselectivity of the reduction of bicyclic ketones catalysed by dehydrogenase enzymes. This has proved to be a rapid and sensitive technique for screening enzymes for enantioselectivity and for monitoring this throughout the course of the reaction.