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.     

Tunneling of intermediates in enzyme-catalyzed reactions

A fascinating group of enzymes has been shown to possess multiple active sites connected by intramolecular tunnels for the passage of reactive intermediates from the site of production to the site of utilization. In most of the examples studied to date, the binding of substrates at one active site enhances the formation of a reaction intermediate at an adjacent active site. The most common intermediate is ammonia, derived from the hydrolysis of glutamine, but molecular tunnels for the passage of indole, carbon monoxide, acetaldehyde and carbamate have also been identified. The architectural features of these molecular tunnels are quite different from one another, suggesting that they evolved independently.     

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.     

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.     

Amidase encapsulated in TTAB reversed micelles for the study of transamidation reactions

Amidase, an amide hydrolase enzyme (E.C.3.5.1.4) with acyl transferase activity, was encapsulated in a reversed micellar system composed of the cationic surfactant tetradecyltrimethyl ammonium bromide (TTAB) in heptane/octanol (80/20%) and phosphate buffer at w₀ 11. The reaction used to study the effect of the reversed micellar system on the enzyme behaviour was a transamidation reaction. The effect of surfactant concentration, buffer molarity and pH on the enzyme kinetics was evaluated. Both initial velocities and product yield were measured. The results indicated that a high initial velocity of hydroxamic acid synthesis and also the highest yield (98%) were obtained using the lowest pH value. The effect of TTAB concentration was dependent on the buffer molarity used. The effect of buffer molarity on reversed micelle dimensions was analysed by light scattering. These results showed that the buffer molarity had a strong influence on the reversed micelle radius that correlated with enzyme activity.     

Amidase encapsulated in TTAB reversed micelles for the study of transamidation reactions

Amidase, an amide hydrolase enzyme (E.C.3.5.1.4) with acyl transferase activity, was encapsulated in a reversed micellar system composed of the cationic surfactant tetradecyltrimethyl ammonium bromide (TTAB) in heptane/octanol (80/20%) and phosphate buffer at w ₀ 11. The reaction used to study the effect of the reversed micellar system on the enzyme behaviour was a transamidation reaction. The effect of surfactant concentration, buffer molarity and pH on the enzyme kinetics was evaluated. Both initial velocities and product yield were measured. The results indicated that a high initial velocity of hydroxamic acid synthesis and also the highest yield (98%) were obtained using the lowest pH value. The effect of TTAB concentration was dependent on the buffer molarity used. The effect of buffer molarity on reversed micelle dimensions was analysed by light scattering. These results showed that the buffer molarity had a strong influence on the reversed micelle radius that correlated with enzyme activity.     

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.