Correction of pre-steady-state KIEs for isotopic impurities and the consequences of kinetic isotope fractionation

Convergence of theory and experiment on the role of preorganization, quantum tunneling and enzyme motions into flavoenzyme-catalyzed hydride transfer

Hydride transfer is one of the most common reactions catalyzed by enzymatic systems and it has become an object of study due to possible significant quantum tunneling effects. In the present work, we provide a combination of theoretical QM/MM simulations and experimental measurements of the rate constants and kinetic isotopic effects (KIEs) for the hydride transfer reaction catalyzed by morphinone reductase, MR. Quantum mechanical tunneling coefficients, computed in the framework of variational transition-state theory, play a significant role in this reaction, reaching values of 23.8 ± 5.5 for the lightest isotopologue; one of the largest values reported for enzymatic systems. This prediction is supported by the agreement between the theoretically predicted rate constants and the corresponding experimental values. Simulations indicate that the role of protein motions can be satisfactorily described as equilibrium fluctuations along the reaction coordinate, in line with a high degree of preorganization displayed by this enzyme.

Practical aspects on the use of kinetic isotope effects as probes of flavoprotein enzyme mechanisms

The measurement of kinetic isotope effects (KIEs) has proved useful in many mechanistic studies of enzyme activity, most notably in enzyme-catalyzed hydrogen-transfer reactions. Primary KIEs (1° KIE) greater than unity indicate that transfer of the hydrogen species of interest is partially or fully rate limiting, and studies of the magnitude of the temperature and pressure dependence of these KIEs can inform on the mechanism of transfer. For example, KIE measurements have proved crucial in understanding the role of quantum mechanical tunneling in enzyme systems. The measurement of secondary KIEs (2° KIEs) is also informative and can be used to infer a significant tunneling contribution and details of transition state geometry. Here the deuterium label is introduced next to that of the transferred hydrogen. Measurements of 1° and 2° KIEs are being used increasingly in studies of H-transfer in flavoprotein enzymes and this requires the preparation of high purity and stereospecific labeled isotopologues. Strategies for the synthesis of labeled substrates are dependent on the enzyme system being studied. However, the nicotinamide coenzymes are often used in studies of flavoprotein enzyme mechanisms. Here, we provide practical details for the enzymatic synthesis of high purity deuterated isotopologues of the common biological coenzymes NADH and NADPH as well as the corresponding nonreactive mimics, tetrahydroNAD(P)H. Both forms of the coenzyme have proven useful in the study of mechanisms, particularly in relation to the involvement of quantum mechanical tunneling and dynamics in enzymatic H-transfer chemistry. The focus here is on practical considerations in the synthesis of these compounds. We also provide an abbreviated description of how measurements of KIEs can inform on flavoprotein mechanisms. The aim of this contribution is not to give a detailed description of the underlying theory (which has been reviewed extensively in the literature), but to provide a basic introduction and practical considerations for nonexpert readers who wish to incorporate such measurements in studies of enzyme mechanisms.

Probing active site geometry using high pressure and secondary isotope effects in an enzyme-catalysed 'deep' H-tunnelling reaction

We report the first study of the effects of hydrostatic pressure on α-2° KIEs for an enzyme-catalysed H-transfer reaction that occurs by 'deep' tunnelling. High pressure causes a significant decrease in the observed α-2° KIE on the pre-steady-state hydride transfer from NADH to FMN in the flavoprotein morphinone reductase. We have recently shown that high pressure causes a reduction in macroscopic reaction barrier width for this reaction. Using DFT vibrational analysis of a simple active site model, we posit that the decrease in α-2° KIE with pressure may arise due to a decrease in the vibrational coupling between the NADH primary (transferred) and secondary hydrogens in the 'tunnelling ready configuration', which more closely resembles the reactant state than the transition state.

Evidence to support the hypothesis that promoting vibrations enhance the rate of an enzyme catalyzed H-tunneling reaction

In recent years there has been a shift away from transition state theory models for H-transfer reactions. Models that incorporate tunneling as the mechanism of H-transfer are now recognized as a better description of such reactions. Central to many models of H-tunneling is the notion that specific vibrational modes of the protein and/or substrate can increase the probability of a H-tunneling reaction, modes that are termed promoting vibrations. Thus far there has been limited evidence that promoting vibrations can increase the rate of H-transfer. In the present communication we examine the single hydride transfer from both NADPH and NADH to FMN in the reductive half-reaction of pentaerythritol tetranitrate reductase (PETNR). We find that there is a significant promoting vibration with NADPH but not with NADH and that the observed rate of hydride transfer is significantly (approximately 15x) faster with NADPH. We rule out differences in rate due to variation in driving force and the donor-acceptor distance, suggesting it is the promoting vibration with NADPH that is the origin of the increased observed rate. This study therefore provides direct evidence that promoting vibrations can lead to an increase in rate.