Calorimetry of enzyme-catalyzed reactions

This mini-review shows the valuable contributions of Professor Julian Sturtevant to the current applications of calorimetry to the study of enzyme-catalyzed reactions. The more recent applications of calorimetric techniques such as isothermal titration calorimetry and flow calorimetry to the study of enzyme kinetics, as well as the advantages on using calorimetric techniques in the determination of kinetic parameters of enzymes, is also discussed here.     

Absolute stereochemistry of flavins in enzyme-catalyzed reactions

The 8-demethyl-8-hydroxy-5-deaza-5-carba analogues of FMN and FAD have been synthesized. Several apoproteins of flavoenzymes were successfully reconstituted with these analogues. This and further tests established that these analogues could serve as general probes for flavin stereospecificity in enzyme-catalyzed reactions. The method used by us involved stereoselective introduction of label on one enzyme combined with transfer to and analysis on a second enzyme. Using as a reference glutathione reductase from human erythrocytes for which the absolute stereochemistry of catalysis is known from X-ray studies [Pai, E. F., & Schulz, G. E. (1983) J. Biol. Chem. 258, 1752-1758], we were able to determine the absolute stereospecificities of other flavoenzymes. We found that glutathione reductase (NADPH), general acyl-CoA dehydrogenase (acyl-CoA), mercuric reductase (NADPH), thioredoxin reductase (NADPH), p-hydroxybenzoate hydroxylase (NADPH), melilotate hydroxylase (NADH), anthranilate hydroxylase (NADPH), and glucose oxidase (glucose) all use the re face of the flavin ring when interacting with the substrates given in parentheses.     

Use of a windows program for simulation of the progress curves of reactants and intermediates involved in enzyme-catalyzed reactions

A program that performs simulation of the kinetics of enzyme-catalyzed reactions with up to 32 species is described. The program is written in C++ for MS Windows 95/98/NT and uses a simple text file to define the kinetic model. The use of the program is illustrated with some examples. WES is available free of charge on request from the authors (e-mail: fgarcia@iele-ab.uclm.es).     

Changes in binding of hydrogen ions in enzyme-catalyzed reactions

Most enzyme-catalyzed reactions produce or consume hydrogen ions, and this is expressed by the change in the binding of hydrogen ions in the biochemical reaction, as written in terms of reactants (sums of species). This property of a biochemical reaction is important because it determines the change in the apparent equilibrium constant K' with pH. This property is also important because it is the number of moles of hydrogen ions that can be produced by a biochemical reaction for passage through a membrane, or can be accepted from a transfer through a membrane. There are two ways to calculate the change in binding of hydrogen ions for an enzyme-catalyzed reaction. The first, which has been used for a long time, involves calculating the partial derivative of the standard transformed Gibbs energy of reaction with respect to pH. The second involves calculating the average numbers of hydrogen ions in each reactant and adding and subtracting these average numbers. The changes in binding of hydrogen ions calculated by the second method at pHs 5, 6, 7, 8, and 9 are given for 23 enzyme-catalyzed reactions. Values are given for 206 more reactions on the web. This database can be extended to include more reactions for which pKs of reactants are known or can be estimated.     

Stochastic simulation of enzyme-catalyzed reactions with disparate timescales

Many physiological characteristics of living cells are regulated by protein interaction networks. Because the total numbers of these protein species can be small, molecular noise can have significant effects on the dynamical properties of a regulatory network. Computing these stochastic effects is made difficult by the large timescale separations typical of protein interactions (e.g., complex formation may occur in fractions of a second, whereas catalytic conversions may take minutes). Exact stochastic simulation may be very inefficient under these circumstances, and methods for speeding up the simulation without sacrificing accuracy have been widely studied. We show that the “total quasi-steady-state approximation” for enzyme-catalyzed reactions provides a useful framework for efficient and accurate stochastic simulations. The method is applied to three examples: a simple enzyme-catalyzed reaction where enzyme and substrate have comparable abundances, a Goldbeter-Koshland switch, where a kinase and phosphatase regulate the phosphorylation state of a common substrate, and coupled Goldbeter-Koshland switches that exhibit bistability. Simulations based on the total quasi-steady-state approximation accurately capture the steady-state probability distributions of all components of these reaction networks. In many respects, the approximation also faithfully reproduces time-dependent aspects of the fluctuations. The method is accurate even under conditions of poor timescale separation.     

Quantitative analysis of the time courses of enzyme-catalyzed reactions

The catalytic properties of enzymes are usually evaluated by measuring and analyzing reaction rates. However, analyzing the complete time course can be advantageous because it contains additional information about the properties of the enzyme. Moreover, for systems that are not at steady state, the analysis of time courses is the preferred method. One of the major barriers to the wide application of time courses is that it may be computationally more difficult to extract information from these experiments. Here the basic approach to analyzing time courses is described, together with some examples of the essential computer code to implement these analyses. A general method that can be applied to both steady state and non-steady-state systems is recommended.     

Nonequilibrium chemical potentials and free energies for enzyme-catalyzed reactions

Using the statistical theory of nonequilibrium thermodynamics we explore the nature of nonequilibrium corrections to chemical potentials in simple enzyme-catalyzed reactions. The statistical definition of the chemical potential, which pertains to systems that are at stable steady states, is applied to the Michaelis-Menten reaction scheme in a cellular-sized compartment that communicates with out-side reservoirs. Calculations based on the kinetic parameters for hexokinase and triose phosphate isomerase show that substantial corrections to the chemical potential of product (the order of 25 mV) are possible if the reaction is sufficiently far from equilibrium. The dependence of the corrections to the chemical potentials on the size of the cellular compartment are explored, and the relevance of the corrections for understanding the thermodynamics of metabolites is discussed.     

Linear relation between rate and thermodynamic force in enzyme-catalyzed reactions

Starting from enzyme kinetics, it is shown that generally a linear rather than a proportional relationship exists between rate and free energy changes in biochemical processes. In the derivation the boundary condition of constant substrate plus product is used, which is appropriate for many cellular systems. An example is the ADP plus ATP concentration in mitochondrial oxidative phosphorylation, as is illustrated experimentally.     

Covalent enzyme-substrate intermediates in transferase reactions

Enzymatic transfer reactions are often depicted as occurring on the surface of the enzyme by direct transfer of a chemical group from a donor substrate molecule to an acceptor, in a single-displacement reaction without covalent participation of the enzyme. This picture of enzyme action is purely speculative, because no positive evidence in support of it exists. The kinetic argument, which formerly afforded the sole support for the single-displacement mechanism, is now known to be in error. Contrasting sharply with this dearth of proof is the substantial and growing body of evidence which upholds the double-displacement mechanism of enzymatic transfer. In this mechanism, a catalytic group (or atom) within the active site of the enzyme links covalently with one of the substrates, or some fragment of it, at some stage of the reaction. Through use of the covalent enzyme-substrate intermediate it may be that the enzyme is enabled to overcome certain entropic difficulties, thus accounting in part for the well-known speed of enzymatic reactions. Covalent participation by the enzyme also brings enzymatic catalysis into closer accord with homogenous and heterogeneous catalysis, in which the key reaction is the transient formation of a covalent bond between substrate and catalyst.     

Asymmetric synthesis of 2-substituted 4-chromanones using enzyme-catalyzed reactions

2-Substituted 4-chromanones were synthesized in their optically active forms. The chiral intermediates were obtained via lipase-catalyzed enantioselective reactions. Lipase and esterase were also used for the hydrolysis of ester moieties of the precursors of the target compounds under mild conditions.