Theoretical analysis of peptidyl alpha-ketoheterocyclic inhibitors of human neutrophil elastase: Insight into the mechanism of inhibition and the application of QM/MM calculations in structure-based drug design

The Q41R mutation in the HCV-protease enhances the reactivity towards MAVS by suppressing non-reactive pathways

Recent experimental findings pointed out a new mutation in the HCV protease, Q41R, responsible for a significant enhancement of the enzyme's reactivity towards the mitochondrial antiviral-signaling protein (MAVS). The Q41R mutation is located rather far from the active site, and its involvement in the overall reaction mechanism is thus unclear. We used classical molecular dynamics and QM/MM to study the acylation reaction of HCV NS3/4A protease variants bound to MAVS and the NS4A/4B substrate and uncovered the indirect mechanism by which the Q41R mutation plays a critical role in the efficient cleavage of the substrate. Our simulations reveal that there are two major conformations of the MAVS H1'(p) residue for the wild type protease and only one conformation for the Q41R mutant. The conformational space of H1'(p) is restricted by the Q41R mutation due to a π-π stacking between H1'(p) and R41 as well as a strong hydrogen bond between the backbone of H57 and the side chain of R41. Further QM/MM calculations indicate that the complex with the conformation ruled out by the Q41R substitution is a non-reactive species due to its higher free energy barrier for the acylation reaction. Based on our calculations, we propose a kinetic mechanism that explains experimental data showing an increase of apparent rate constants for MAVS cleavage in Q41R mutants. Our model predicts that the non-reactive conformation of the enzyme-substrate complex modulates reaction kinetics like an uncompetitive inhibitor.

Mechanisms of Proteolytic Enzymes and Their Inhibition in QM/MM Studies

Experimental evidence for enzymatic mechanisms is often scarce, and in many cases inadvertently biased by the employed methods. Thus, apparently contradictory model mechanisms can result in decade long discussions about the correct interpretation of data and the true theory behind it. However, often such opposing views turn out to be special cases of a more comprehensive and superior concept. Molecular dynamics (MD) and the more advanced molecular mechanical and quantum mechanical approach (QM/MM) provide a relatively consistent framework to treat enzymatic mechanisms, in particular, the activity of proteolytic enzymes. In line with this, computational chemistry based on experimental structures came up with studies on all major protease classes in recent years; examples of aspartic, metallo-, cysteine, serine, and threonine protease mechanisms are well founded on corresponding standards. In addition, experimental evidence from enzyme kinetics, structural research, and various other methods supports the described calculated mechanisms. One step beyond is the application of this information to the design of new and powerful inhibitors of disease-related enzymes, such as the HIV protease. In this overview, a few examples demonstrate the high potential of the QM/MM approach for sophisticated pharmaceutical compound design and supporting functions in the analysis of biomolecular structures.

QM/MM and molecular dynamics investigation of the mechanism of covalent inhibition of TAK1 kinase

TAK1 is a serine/threonine kinase which is involved in the moderation of cell survival and death via the TNFα signalling pathway. It is also implicated in a range of cancer and anti-inflammatory diseases. Drug discovery efforts on this target have focused on both traditional reversible ATP-binding site inhibitors and increasingly popular irreversible covalent binding inhibitors. Irreversible inhibitors can offer benefits in terms of potency, selectivity and PK/PD meaning they are increasingly pursued where the strategy exists. TAK1 kinase differs from the better-known kinase EGFR in that the reactive cysteine nucleophile targeted by electrophilic inhibitors is located towards the back of the ATP binding site, not at its mouth. While a wealth of structural and computational effort has been spent exploring EGFR, only limited studies on TAK1 have been reported. In this work we report the first QM/MM study on TAK1 aiming to better understand aspects of covalent adduct formation. Our goal is to identify the general base in the catalytic reaction, whether the process proceeds via a stepwise or concerted pathway, and how the highly flexible G-loop and A-loop affect the catalytic cysteine located nearby.

QM/MM investigation of the reaction rates of substrates of 2,3-dimethylmalate lyase: A catabolic protein isolated from Aspergillus niger

Aspergillus niger is an industrially important microorganism used in the production of citric acid. It is a common cause of food spoilage and represents a health issue for patients with compromised immune systems. Recent studies on Aspergillus niger have revealed details on the isocitrate lyase (ICL) superfamily and its role in catabolism, including (2R, 3S)-dimethylmalate lyase (DMML). Members of this and related lyase super families are of considerable interest as potential treatments for bacterial and fungal infections, including Tuberculosis. In our efforts to better understand this class of protein, we investigate the catalytic mechanism of DMML, studying five different substrates and two different active site metals configurations using molecular dynamics (MD) and hybrid quantum mechanics/molecular mechanics (QM/MM) calculations. We show that the predicted barriers to reaction for the substrates show good agreement with the experimental kcat values. This results help to confirm the validity of the proposed mechanism and open up the possibility of developing novel mechanism based inhibitors specifically for this target.

Probing the Catalytic Mechanism Involved in the Isocitrate Lyase Superfamily: Hybrid Quantum Mechanical/Molecular Mechanical Calculations on 2,3-Dimethylmalate Lyase

The isocitrate lyase (ICL) superfamily catalyzes the cleavage of the C(2)-C(3) bond of various α-hydroxy acid substrates. Members of the family are found in bacteria, fungi, and plants and include ICL itself, oxaloacetate hydrolase (OAH), 2-methylisocitrate lyase (MICL), and (2R,3S)-dimethylmalate lyase (DMML) among others. ICL and related targets have been the focus of recent studies to treat bacterial and fungal infections, including tuberculosis. The catalytic process by which this family achieves C(2)-C(3) bond breaking is still not clear. Extensive structural studies have been performed on this family, leading to a number of plausible proposals for the catalytic mechanism. In this paper, we have applied quantum mechanical/molecular mechanical (QM/MM) methods to the most recently reported family member, DMML, to assess whether any of the mechanistic proposals offers a clear energetic advantage over the others. Our results suggest that Arg161 is the general base in the reaction and Cys124 is the general acid, giving rise to a rate-determining barrier of approximately 10 kcal/mol.

Connecting Classical QSAR and LERE Analyses Using Modern Molecular Calculations, LERE-QSAR (VI): Hydrolysis of Substituted Hippuric Acid Phenyl Esters by Trypsin

The reaction mechanism of trypsin was studied by applying DFT and ab initio molecular orbital (MO) calculations to complexes of trypsin with a congeneric series of eight para-substituted hippuric acid phenyl esters, for which a previous quantitative structureactivity relationship (QSAR) study revealed nice linearity of Hammett substitution constant σ(-) with logarithmic values of the MichaelisMenten and catalytic rate constants. Based on the LERE procedure, we performed QSAR analyses on each elementary reaction step during the acylation process. The present calculations showed that the rate-determining step during the acylation process is the transition state (TS) between the enzymesubstrate complex (ES) and tetrahedral intermediate (TET), and that the proton transfer occurs from Ser195 to His57, not between His57 and Asp102. The LERE-QSAR analysis statistically suggested that the variation of overall free-energy changes leading to formation of TS is governed mostly by that of activation energies required to form TS from ES. In spite of a very limited number of congeneric ligands in the current work, it is critically essential to clarify and verify physicochemical meanings of a typical QSAR/Chemoinformatics parameter, Hammett σ(-) based on quantum chemical calculations on the proteinligand kinetics; how Hammett σ(-) behaves in terms of proteinligand interaction energies.

A comparative QM/MM study of the reaction mechanism of the Hepatitis C virus NS3/NS4A protease with the three main natural substrates NS5A/5B, NS4B/5A and NS4A/4B

The reaction mechanism of the NS3/NS4A protease with the NS4B/5A and NS4A/4B natural substrates has been investigated using the QM/MM (quantum mechanics/molecular mechanics) approach, and some calculations have been performed on the reaction with the NS5A/5B natural substrate. This study widely extends a previous contribution of our group on the reaction mechanism with the NS5A/5B substrate, the main goal here being to understand the differences found between the reaction mechanism of each natural substrate and the role played by the enzymatic residues in the catalytic cycle. This knowledge will ultimately help in developing new NS3/NS4A protease inhibitors. The two first steps of the mechanism have been considered: Acylation and breaking of the peptide bond, with emphasis on the former one (rate limiting process). Energy and free energy profiles for both steps have been calculated at the AM1/MM level and corrected by means of MP2 ab initio calculations, being evident the importance of correlation energy. Acylation is the rate limiting step in all cases and occurs through a tetracoordinated intermediate, as previously suggested for other serine proteases. Specificities in the NS4B/5A mechanism can be attributed to the presence of a Proline residue in the substrate P2 position. The analysis of structures and energies confirm the importance of the oxyanion hole in the electrostatic stabilization of the tetracoordinated intermediate. Finally, the role of other residues, e.g., Arg-155 and Asp-79, has been explained, and the viability of Arg-155 mutants and its resistance to some protease inhibitors has been understood thanks to virtual mutation studies.

DFT study on hydroxy acid-lactone interconversion of statins: The case of fluvastatin

Fluvastatin is a member of the HMG-CoA reductase inhibitor family of drugs, commonly referred to as statins. It is generally known that, under physiological conditions, statins are susceptible to pH-dependent interconversion between their active (hydroxy acid) and inactive (lactone) forms. The mechanism of this interconversion, under both acidic and basic conditions, was investigated theoretically using the density functional theory (DFT) method. Regardless of the conditions, the lactone form was always higher in energy by 6-19 kcal mol(-1). However, under basic conditions, the activation barrier for the hydrolysis was significantly lower (9 kcal mol(-1)) than for the reverse reaction (28 kcal mol(-1)), making the lactone form unstable. The activation barriers under acidic conditions were of comparable height in both directions (22 and 28 kcal mol(-1)), making the occurrence of both forms equally probable. Due to the high activation barrier (>40 kcal mol(-1)), a one-step, direct interconversion between the two forms turned out to be unfavourable. Moreover, the potential energy surface of fluvastatin was briefly inspected, revealing relatively small energetic differences (<5 kcal mol(-1)) between the key conformers.

Enzyme isoselective inhibitors: application to drug design

Common methodologies of computer-assisted drug design focus on noncovalent enzyme-ligand interactions. We introduced enzyme isoselective inhibition trend analysis as a tool for the expert analysis of covalent reversible inhibitors. The methodology is applied to predict the binding affinities of a series of transition-state analogue inhibitors of medicinally important serine and cysteine hydrolases. These inhibitors are isoselective: they have identical noncovalent recognition fragments (RS) and different reactive chemical fragments (CS). Furthermore, it is possible to predict the binding affinities of a series of isoselective inhibitors toward a prototype enzyme and to extrapolate the data to a target medicinally important enzyme of the same family. Rational design of CS fragments followed by conventional RS optimization could be used as a novel approach to drug design.

Combined valence bond-molecular mechanics potential-energy surface and direct dynamics study of rate constants and kinetic isotope effects for the H+C2H6 reaction

This article presents a multifaceted study of the reaction H+C(2)H(6)-->H(2)+C(2)H(5) and three of its deuterium-substituted isotopologs. First we present high-level electronic structure calculations by the W1, G3SX, MCG3-MPWB, CBS-APNO, and MC-QCISD/3 methods that lead to a best estimate of the barrier height of 11.8+/-0.5 kcal/mol. Then we obtain a specific reaction parameter for the MPW density functional in order that it reproduces the best estimate of the barrier height; this yields the MPW54 functional. The MPW54 functional, as well as the MPW60 functional that was previously parametrized for the H+CH(4) reaction, is used with canonical variational theory with small-curvature tunneling to calculate the rate constants for all four ethane reactions from 200 to 2000 K. The final MPW54 calculations are based on curvilinear-coordinate generalized-normal-mode analysis along the reaction path, and they include scaled frequencies and an anharmonic C-C bond torsion. They agree with experiment within 31% for 467-826 K except for a 38% deviation at 748 K; the results for the isotopologs are predictions since these rate constants have never been measured. The kinetic isotope effects (KIEs) are analyzed to reveal the contributions from subsets of vibrational partition functions and from tunneling, which conspire to yield a nonmonotonic temperature dependence for one of the KIEs. The stationary points and reaction-path potential of the MPW54 potential-energy surface are then used to parametrize a new kind of analytical potential-energy surface that combines a semiempirical valence bond formalism for the reactive part of the molecule with a standard molecular mechanics force field for the rest; this may be considered to be either an extension of molecular mechanics to treat a reactive potential-energy surface or a new kind of combined quantum-mechanical/molecular mechanical (QM/MM) method in which the QM part is semiempirical valence bond theory; that is, the new potential-energy surface is a combined valence bond molecular mechanics (CVBMM) surface. Rate constants calculated with the CVBMM surface agree with the MPW54 rate constants within 12% for 534-2000 K and within 23% for 200-491 K. The full CVBMM potential-energy surface is now available for use in variety of dynamics calculations, and it provides a prototype for developing CVBMM potential-energy surfaces for other reactions.

Assessment of a mechanism for reactive inhibition of carboxypeptidase A with QM/MM methods

The mechanism for inhibition of carboxypeptidase A (CPA) by the two enantiomers of a reactive inhibitor, N-(2-chloroethyl)-N-methylphenylalanine, has been investigated using computational methods. Quantum mechanical and molecular mechanical (QM/MM) methods have been employed to find likely enzyme binding conformations by comparison with the observed rates of inactivation of the enzyme. The study has shown that the enzyme active site appears to be flexible enough to allow the nucleophilic deactivation reactions of both the (R) and (S) forms of a model of the inhibitor to be catalysed by the Zn(II) cofactor of CPA.

Modelling enzyme reaction mechanisms, specificity and catalysis

Modern modelling methods can now give uniquely detailed understanding of enzyme-catalyzed reactions, including the analysis of mechanisms and the identification of determinants of specificity and catalytic efficiency. A new field of computational enzymology has emerged that has the potential to contribute significantly to structure-based design and to develop predictive models of drug metabolism and, for example, of the effects of genetic polymorphisms. This review outlines important techniques in this area, including quantum-chemical model studies and combined quantum-mechanics and molecular-mechanics (QM/MM) methods. Some recent applications to enzymes of pharmacological interest are also covered, showing the types of problems that can be tackled and the insight they can give.