Quantum and molecular mechanical study of the first proton transfer in the catalytic cycle of cytochrome P450cam and its mutant D251N

In the catalytic cycle of cytochrome P450cam, the hydroperoxo intermediate (Cpd 0) is formed by proton transfer from a reduced oxyheme complex (S5). This process is drastically slowed down when Asp251 is mutated to Asn (D251N). We report quantum mechanical/molecular mechanical (QM/MM) calculations that address this proton delivery in the doublet state through a hydrogen-bond network in the Asp251 channel, both for the wild-type enzyme and the D251N mutant, using four different active-site models. For the wild-type, we find a facile concerted mechanism for proton transfer from protonated Asp251 via Wat901 and Thr252 to the FeOO moiety, with a barrier of about 1 kcal/mol and a high exothermicity of more than 20 kcal/mol. In the D251N mutant with a neutral Asn251 residue, the proton transfer is almost thermoneutral or slightly exothermic in the three models considered. It is still very facile when the Asn251 residue adopts a conformation analogous to Asp251 in the wild-type enzyme, but the barrier increases significantly when the Asn251 side chain flips (as indicated by classical molecular dynamics simulations). This flip disrupts the hydrogen-bond network and hence the proton-transfer pathway, which causes a longer lifetime of S5 in the D251N mutant (consistent with experimental observations). The entry of an additional water molecule into the active site of D251N with flipped Asn251 regenerates the hydrogen-bond network and provides a viable mechanism for proton delivery in the mutant, with a moderate barrier of about 7 kcal/mol.     

Quantum mechanical/molecular mechanical study on the mechanisms of compound I formation in the catalytic cycle of chloroperoxidase: an overview on heme enzymes

The formation of Compound I (Cpd I), the active species of the enzyme chloroperoxidase (CPO), was studied using QM/MM calculation. Starting from the substrate complex with hydrogen peroxide, FeIII-HOOH, we examined two alternative mechanisms on the three lowest spin-state surfaces. The calculations showed that the preferred pathway involves heterolytic O-O cleavage that proceeds via the iron hydroperoxide species, i.e., Compound 0 (Cpd 0), on the doublet-state surface. This process is effectively concerted, with a barrier of 12.4 kcal/mol, and is catalyzed by protonation of the distal OH group of Cpd 0. By comparison, the path that involves a direct O-O cleavage from FeIII-HOOH is less favored. A proton coupled electron transfer (PCET) feature was found to play an important role in the mechanism nascent from Cpd 0. Initially, the O-O cleavage progresses in a homolytic sense, but as soon as the proton is transferred to the distal OH, it triggers an electron transfer from the heme-oxo moiety to form water and Cpd I. This study enables us to generalize the mechanisms of O-O activation, elucidated so far by QM/MM calculations, for other heme enzymes, e.g., cytochrome P450cam, horseradish peroxidase (HRP), nitric oxide synthase (NOS), and heme oxygenase (HO). Much like for CPO, in the cases of P450 and HRP, the PCET lowers the barrier below the purely homolytic cleavage alternative (in our case, the homolytic mechanism is calculated directly from FeIII-HOOH). By contrast, the absence of PCET in HO, along with the robust water cluster, prefers a homolytic cleavage mechanism.     

Proton-shuffle mechanism of O-O activation for formation of a high-valent oxo-iron species of bleomycin

Bleomycins (BLMs) can utilize H2O2 to cleave DNA in the presence of ferric ions. DFT calculations were used to study the mechanism of O-O bond cleavage in the low-spin FeIII-hydroperoxo complex of BLM. The following alternative hypotheses were investigated using realistic structural models: (a) heterolytic cleavage of the O-O bond, generating a Compound I (Cpd I) like intermediate, formally BLM-FeV=O; (b) homolytic O-O cleavage, leading to a BLM-FeIV=O species and an OH* radical; and (c) a direct O-O cleavage/H-abstraction mechanism by ABLM. The calculations showed that (a) is a facile and viable mechanism; it involves acid-base proton reshuffle mediated by the side-chain linkers of BLM, causing thereby heterolytic cleavage of the O-O bond and generation of Cpd I. Formation of Cpd I is found to involve a barrier of 13.3 kcal/mol, which is lower than the barriers in the alternative mechanisms (b and c) that possess respective barriers of 31 and 17 kcal/mol. The so-formed Cpd I species with a radical on the side-chain linker, methylvalerate (V), adjacent to the BLM-FeIV=O complex, resembles the formation of the active species of cytochrome c peroxidase in the Poulos-Kraut proton-shuffle mechanism in heme peroxidases (Poulos, T. L.; Kraut, J. J. Biol. Chem. 1980, 255, 8199-8205). Experimental data are discussed and shown to be in accord with this proposal. It suggests that the high-valence Cpd I species of BLM participates in the DNA cleavage. This is an alternative mechanistic hypothesis to the exclusive reactivity scenario based on ABLM (FeIII-OOH).     

The Poulos-Kraut mechanism of Compound I formation in horseradish peroxidase: a QM/MM study

QM/MM calculations are used to elucidate the Poulos-Kraut (Poulos, T. L.; Kraut, J. J. Biol. Chem. 1980, 255, 8199-8205) mechanism of O-O bond activation and Compound I (Cpd I) formation in HRP, in conditions corresponding to neutral to basic pH. Attempts to generate Compound I directly from the Fe(H2O2) complex by migrating the proton from the proximal oxygen to the distal one (1,2- proton shift) result in high barriers. The lowest energy mechanism was found to involve initial deprotonation of ferric hydrogen peroxide complex (involving spin crossover from the quartet to the doublet state) by His42 to form ferric-hydroperoxide (Cpd 0). Subsequently, the distal OH group of Cpd 0 is pulled by Arg38 and reprotonated by His42(H+) to form Cpd I and a water molecule that bridges the two residues. The structures of the intermediate and the transition state reveal the manner by which the Arg-His residues promote cooperatively the electronic reorganization that is required to attend the heterolytic O-O cleavage.     

Compound I of nitric oxide synthase: the active site protonation state

A quantum mechanical/molecular mechanical (QM/MM) study of the formation of the elusive active species Compound I (Cpd I) of nitric oxide synthase (NOS) from the oxyferrous intermediate shows that two protons have to be provided to produce a reaction that is reasonably exothermic and that leads to the appearance of a radical on the tetrahydrobiopterin cofactor. Molecular dynamics and energy considerations show that a possible source of proton is the water H-bond chain formed from the surface to the active site, but that a water molecule by itself cannot be the source of the proton; an H3O+ species that is propagated along the chain is more likely. The QM/MM calculations demonstrate that Cpd I and H2O are formed from the ferric-hydrogen peroxide complex in a unique heterolytic O-O cleavage mechanism. The properties of the so-formed Cpd I are compared with those of the known species of chloroperoxidase, and the geometry and spin densities are found to be compatible. The M?ssbauer parameters are calculated and may serve as experimental probes in attempts to characterize NOS Cpd I.     

What is the active species of cytochrome P450 during camphor hydroxylation? QM/MM studies of different electronic states of compound I and of reduced and oxidized iron-oxo intermediates

We have investigated C-H hydroxylation of camphor by Compound I (Cpd I) of cytochrome P450cam in different electronic states and by its one-electron reduced and oxidized forms, using QM/MM calculations in the native protein/solvent environment. Cpd I species with five unpaired electrons (pentaradicaloids) are ca. 12 kcal/mol higher in energy than the ground state Cpd I species with three unpaired electrons (triradicaloids). The H-abstraction transition states of pentaradicaloids lie ca. 21 (9) kcal/mol above the triradicaloid (pentaradicaloid) reactants. Hydroxylation via pentaradicaloids is thus facile provided that they can react before relaxing to the ground-state triradicaloids. Excited states of Cpd I with an Fe(V)-oxo moiety lie more than 20 kcal/mol above the triradicaloid ground state in single-point gas-phase calculations, but these electronic configurations are not stable upon including the point-charge protein environment which causes SCF convergence to the triradicaloid ground state. One-electron reduced species (Cpd II) show sluggish reactivity compared with Cpd I in agreement with experimental model studies. One-electron oxidized species are more reactive than Cpd I but seem too high in energy to be accessible. The barriers to hydrogen abstraction for the various forms of Cpd I are generally not affected much by the chosen protonation states of the Asp297 and His355 residues near the propionate side chains of the heme or by the appearance of radical character at Asp297, His355, or the propionates.     

New features in the catalytic cycle of cytochrome P450 during the formation of compound I from compound 0

Density functional theory (DFT) is applied to the dark section of the catalytic cycle of the enzyme cytochrome P450, namely, the formation of the active species, Compound I (Cpd I), from the ferric-hydroperoxide species (Cpd 0) by a protonation-assisted mechanism. The chosen 96-atom model includes the key functionalities deduced from experiment: Asp(251), Thr(252), Glu(366), and the water channels that relay the protons. The DFT model calculations show that (a) Cpd I is not formed spontaneously from Cpd 0 by direct protonation, nor is the process very exothermic. The process is virtually thermoneutral and involves a significant barrier such that formation of Cpd I is not facile on this route. (b) Along the protonation pathway, there exists an intermediate, a protonated Cpd 0, which is a potent oxidant since it is a ferric complex of water oxide. Preliminary quantum mechanical/molecular mechanical calculations confirm that Cpd 0 and Cpd I are of similar energy for the chosen model and that protonated Cpd 0 may exist as an unstable intermediate. The paper also addresses the essential role of Thr(252) as a hydrogen-bond acceptor (in accord with mutation studies of the OH group to OMe).     

Peptide hydrolysis catalyzed by matrix metalloproteinase 2: a computational study

The MMP-2 reaction mechanism is investigated by using different computational methodologies. First, quantum mechanical (QM) calculations are carried out on a cluster model of the active site bound to an Ace-Gly approximately Ile-Nme peptide. Along the QM reaction path, a Zn-bound water molecule attacks the Gly carbonyl group to give a tetrahedral intermediate. The breaking of the C-N bond is completed thanks to the Glu 404 residue that shuttles a proton from the water molecule to Ile-N atom. The gas-phase QM energy barrier is quite low ( approximately 14 kcal/mol), thus suggesting that the essential catalytic machinery is included in the cluster model. A similar reaction path occurs in the MMP-2 catalytic domain bound to an octapeptide substrate according to hybrid QM and molecular mechanical (QM/MM) geometry optimizations. However, the rupture of the Gly( P 1) approximately Ile( P 1') amide bond is destabilized in the static QM/MM calculations, owing to the positioning of the Ile( P 1') side chain inside the MMP-2 S 1' pocket and to the inability of simple energy miminization methodologies to properly relax complex systems. Molecular dynamics simulations show that these steric limitations are overcome easily through structural fluctuations. The energetic effect of structural fluctuations is taken into account by combining QM energies with average MM Poisson-Boltzmann free energies, resulting in a total free energy barrier of 14.8 kcal/mol in good agreement with experimental data. The rate-determining event in the MMP-2 mechanism corresponds to a H-bond rearrangement involving the Glu 404 residue and/or the Glu 404-COOH --> N-Ile( P 1') proton transfer. Overall, the present computational results and previous experimental data complement each other well in order to provide a detailed view of the MMPs catalytic mechanism.     

Mechanism of proteolysis in matrix metalloproteinase‐2 revealed by QM/MM modeling

The mechanism of enzymatic peptide hydrolysis in matrix metalloproteinase‐2 (MMP‐2) was studied at atomic resolution through quantum mechanics/molecular mechanics (QM/MM) simulations. An all‐atom three‐dimensional molecular model was constructed on the basis of a crystal structure from the Protein Data Bank (ID: 1QIB), and the oligopeptide Ace‐Gln‐Gly～Ile‐Ala‐Gly‐Nme was considered as the substrate. Two QM/MM software packages and several computational protocols were employed to calculate QM/MM energy profiles for a four‐step mechanism involving an initial nucleophilic attack followed by hydrogen bond rearrangement, proton transfer, and C? N bond cleavage. These QM/MM calculations consistently yield rather low overall barriers for the chemical steps, in the range of 5–10 kcal/mol, for diverse QM treatments (PBE0, B3LYP, and BB1K density functionals as well as local coupled cluster treatments) and two MM force fields (CHARMM and AMBER). It, thus, seems likely that product release is the rate‐limiting step in MMP‐2 catalysis. This is supported by an exploration of various release channels through QM/MM reaction path calculations and steered molecular dynamics simulations. © 2015 Wiley Periodicals, Inc.     

Convergence in the QM‐only and QM/MM modeling of enzymatic reactions: A case study for acetylene hydratase

We report systematic quantum mechanics‐only (QM‐only) and QM/molecular mechanics (MM) calculations on an enzyme‐catalyzed reaction to assess the convergence behavior of QM‐only and QM/MM energies with respect to the size of the chosen QM region. The QM and MM parts are described by density functional theory (typically B3LYP/def2‐SVP) and the CHARMM force field, respectively. Extending our previous work on acetylene hydratase with QM regions up to 157 atoms (Liao and Thiel, J. Chem. Theory Comput. 2012, 8, 3793), we performed QM/MM geometry optimizations with a QM region M4 composed of 408 atoms, as well as further QM/MM single‐point calculations with even larger QM regions up to 657 atoms. A charge deletion analysis was conducted for the previously used QM/MM model ( M3a , with a QM region of 157 atoms) to identify all MM residues with strong electrostatic contributions to the reaction energetics (typically more than 2 kcal/mol), which were then included in M4 . QM/MM calculations with this large QM region M4 lead to the same overall mechanism as the previous QM/MM calculations with M3a , but there are some variations in the relative energies of the stationary points, with a mean absolute deviation (MAD) of 2.7 kcal/mol. The energies of the two relevant transition states are close to each other at all levels applied (typically within 2 kcal/mol), with the first (second) one being rate‐limiting in the QM/MM calculations with M3a ( M4 ). QM‐only gas‐phase calculations give a very similar energy profile for QM region M4 (MAD of 1.7 kcal/mol), contrary to the situation for M3a where we had previously found significant discrepancies between the QM‐only and QM/MM results (MAD of 7.9 kcal/mol). Extension of the QM region beyond M4 up to M7 (657 atoms) leads to only rather small variations in the relative energies from single‐point QM‐only and QM/MM calculations (MAD typically about 1–2 kcal/mol). In the case of acetylene hydratase, a model with 408 QM atoms thus seems sufficient to achieve convergence in the computed relative energies to within 1–2 kcal/mol.Copyright © 2013 Wiley Periodicals, Inc.     

Computational study of the phosphoryl transfer catalyzed by a cyclin-dependent kinase

A cyclin-dependent kinase, Cdk2, catalyzes the transfer of the gamma-phosphate from ATP to a threonine or serine residue of its polypeptide substrates. Here, we investigate aspects of the reaction mechanism of Cdk2 by gas-phase density functional calculations, classical molecular dynamics, and Car-Parrinello QM/MM simulations. We focus on the role of the conserved Asp127 and on the nature of the phosphoryl transfer reaction mechanism catalyzed by Cdk2. Our findings suggest that Asp127 is active in its deprotonated form by assisting the formation of the near-attack orientation of the substrate serine or threonine. Therefore, the residue does not act as a general base during the catalysis. The mechanism for the phosphoryl transfer is a single SN2-like concerted step, which shows a phosphorane-like transition state geometry. Although the resulting reaction mechanism is in agreement with a previous density functional study of the same catalytic reaction mechanism (Cavalli et al., Chem. Comm. 2003, 1308-1309), the reaction barrier is considerably lower when QM/MM calculations are performed, as in this study ( approximately 42 kcal mol(-1) QM vs. approximately 24 kcal mol(-1) QM/MM); this indicates that important roles for the catalysis are played by the protein environment and solvent waters. Because of the high amino acid sequence conservation among the whole family of cyclin-dependent kinases (CDKs), these results could be general for the CDK family.     

Towards the Accurate Thermodynamic Characterization of Enzyme Reaction Mechanisms

We employed QM/MM molecular dynamics (MD) simulations to characterize the rate-limiting step of the glycosylation reaction of pancreatic α-amylase with combined DFT/molecular dynamics methods (PBE/def2-SVP : AMBER). Upon careful choice of four starting active site conformations based on thorough reactivity criteria, Gibbs energy profiles were calculated with umbrella sampling simulations within a statistical convergence of 1–2 kcal ⋅ mol⁻¹. Nevertheless, Gibbs activation barriers and reaction energies still varied from 11.0 to 16.8 kcal ⋅ mol⁻¹ and −6.3 to +3.8 kcal ⋅ mol⁻¹ depending on the starting conformations, showing that despite significant state-of-the-art QM/MM MD sampling (0.5 ns/profile) the result still depends on the starting structure. The results supported the one step dissociative mechanism of Asp197 glycosylation preceded by an acid-base reaction by the Glu233, which are qualitatively similar to those from multi-PES QM/MM studies, and thus support the use of the latter to determine enzyme reaction mechanisms.     

Mechanisms of antibiotic resistance: QM/MM modeling of the acylation reaction of a class A beta-lactamase with benzylpenicillin

Understanding the mechanisms by which beta-lactamases destroy beta-lactam antibiotics is potentially vital in developing effective therapies to overcome bacterial antibiotic resistance. Class A beta-lactamases are the most important and common type of these enzymes. A key process in the reaction mechanism of class A beta-lactamases is the acylation of the active site serine by the antibiotic. We have modeled the complete mechanism of acylation with benzylpenicillin, using a combined quantum mechanical and molecular mechanical (QM/MM) method (B3LYP/6-31G+(d)//AM1-CHARMM22). All active site residues directly involved in the reaction, and the substrate, were treated at the QM level, with reaction energies calculated at the hybrid density functional (B3LYP/6-31+Gd) level. Structures and interactions with the protein were modeled by the AM1-CHARMM22 QM/MM approach. Alternative reaction coordinates and mechanisms have been tested by calculating a number of potential energy surfaces for each step of the acylation mechanism. The results support a mechanism in which Glu166 acts as the general base. Glu166 deprotonates an intervening conserved water molecule, which in turn activates Ser70 for nucleophilic attack on the antibiotic. This formation of the tetrahedral intermediate is calculated to have the highest barrier of the chemical steps in acylation. Subsequently, the acylenzyme is formed with Ser130 as the proton donor to the antibiotic thiazolidine ring, and Lys73 as a proton shuttle residue. The presented mechanism is both structurally and energetically consistent with experimental data. The QM/MM energy barrier (B3LYP/ 6-31G+(d)//AM1-CHARMM22) for the enzymatic reaction of 9 kcal mol(-1) is consistent with the experimental activation energy of about 12 kcal mol(-1). The effects of essential catalytic residues have been investigated by decomposition analysis. The results demonstrate the importance of the "oxyanion hole" in stabilizing the transition state and the tetrahedral intermediate. In addition, Asn132 and a number of charged residues in the active site have been identified as being central to the stabilizing effect of the enzyme. These results will be potentially useful in the development of stable beta-lactam antibiotics and for the design of new inhibitors.     

Investigation of the mechanism of formation of a thiolate-ligated Fe(III)-OOH

Kinetic studies aimed at determining the most probable mechanism for the proton-dependent [Fe(II)(S(Me2)N(4)(tren))](+) (1) promoted reduction of superoxide via a thiolate-ligated hydroperoxo intermediate [Fe(III)(S(Me2)N(4)(tren))(OOH)](+) (2) are described. Rate laws are derived for three proposed mechanisms, and it is shown that they should conceivably be distinguishable by kinetics. For weak proton donors with pK(a(HA)) > pK(a(HO(2))) rates are shown to correlate with proton donor pK(a), and display first-order dependence on iron, and half-order dependence on superoxide and proton donor HA. Proton donors acidic enough to convert O(2)(-) to HO(2) (in tetrahydrofuran, THF), that is, those with pK(a(HA)) < pK(a(HO(2))), are shown to display first-order dependence on both superoxide and iron, and rates which are independent of proton donor concentration. Relative pK(a) values were determined in THF by measuring equilibrium ion pair acidity constants using established methods. Rates of hydroperoxo 2 formation displays no apparent deuterium isotope effect, and bases, such as methoxide, are shown to inhibit the formation of 2. Rate constants for p-substituted phenols are shown to correlate linearly with the Hammett substituent constants σ(-). Activation parameters ((ΔH(++) = 2.8 kcal/mol, ΔS(++) = -31 eu) are shown to be consistent with a low-barrier associative mechanism that does not involve extensive bond cleavage. Together, these data are shown to be most consistent with a mechanism involving the addition of HO(2) to 1 with concomitant oxidation of the metal ion, and reduction of superoxide (an "oxidative addition" of sorts), in the rate-determining step. Activation parameters for MeOH- (ΔH(++) = 13.2 kcal/mol and ΔS(++) = -24.3 eu), and acetic acid- (ΔH(++) = 8.3 kcal/mol and ΔS(++) = -34 eu) promoted release of H(2)O(2) to afford solvent-bound [Fe(III)(S(Me2)N(4)(tren))(OMe)](+) (3) and [Fe(III)(S(Me2)N(4)(tren))(O(H)Me)](+) (4), respectively, are shown to be more consistent with a reaction involving rate-limiting protonation of an Fe(III)-OOH, than with one involving rate-limiting O-O bond cleavage. The observed deuterium isotope effect (k(H)/k(D) = 3.1) is also consistent with this mechanism.     

Is the protein surrounding the active site critical for hydrogen peroxide reduction by selenoprotein glutathione peroxidase? An ONIOM study

In this ONIOM(QM:MM) study, we evaluate the role of the protein surroundings in the mechanism of H2O2 reduction catalyzed by the glutathione peroxidase enzyme, using the whole monomer (3113 atoms in 196 amino acid residues) as a model. A new optimization scheme that allows the full optimization of transition states for large systems has been utilized. It was found that in the presence of the surrounding protein the optimized active site structure bears a closer resemblance to the one in the X-ray structure than that without the surrounding protein. H2O2 reduction occurs through a two-step mechanism. In the first step, the selenolate anion (E-Se(-)) formation occurs with a barrier of 16.4 kcal/mol and is endothermic by 12.0 kcal/mol. The Gln83 residue plays the key role of the proton abstractor, which is in line with the experimental suggestion. In the second step, the O-O bond is cleaved, and selenenic acid (R-Se-OH) and a water molecule are formed. The calculated barrier for this process is 6.0 kcal/mol, and it is exothermic by 80.9 kcal/mol. The overall barrier of 18.0 kcal/mol for H2O2 reduction is in reasonable agreement with the experimentally measured barrier of 14.9 kcal/mol. The protein surroundings has been calculated to exert a net effect of only 0.70 kcal/mol (in comparison to the "active site only" model including solvent effects) on the overall barrier, which is most likely due to the active site being located at the enzyme surface.     

Systematic QM/MM investigation of factors that affect the cytochrome P450-catalyzed hydrogen abstraction of camphor

The hydrogen abstraction reaction of camphor in cytochrome P450(cam) has been investigated in the native enzyme environment by combined quantum mechanical/molecular mechanical (QM/MM) calculations and in the gas phase by density functional calculations. This work has been motivated by contradictory published QM/MM results. In an attempt to pinpoint the origin of these discrepancies, we have systematically studied the factors that may affect the computed barriers, including the QM/MM setup, the optimization procedures, and the choice of QM region, basis set, and protonation states. It is found that the ChemShell and QSite programs used in the published QM/MM calculations yield similar results at given geometries, and that the discrepancies mainly arise from two technical issues (optimization protocols and initial system preparation) that need to be well controlled in QM/MM work. In the course of these systematic investigations, new mechanistic insights have been gained. The crystallographic water 903 placed near the oxo atom of Compound I lowers the hydrogen abstraction barrier by ca. 4 kcal/mol, and thus acts as a catalyst for this reaction. Spin density may appear at the A-propionate side chain of the heme if the carboxylate group is not properly screened, which might be expected to happen during protein dynamics, but not in static equilibrium situations. There is no clear correlation between the computed A-propionate spin density and the hydrogen abstraction barrier, and hence, no support for a previously proposed side-chain mediated transition state stabilization mechanism. Standard QM/MM optimizations yield an A-propionate environment close to the X-ray structure only for protonated Asp297, and not for deprotonated Asp297, but the computed barriers are similar in both cases. An X-ray like A-propionate environment can also be obtained when deprotonated Asp297 is included in the QM region and His355 is singly protonated, but this Compound II-type species with a closed-shell porphyrin ring has a higher hydrogen abstraction barrier and should thus not be mechanistically relevant.     

Metal-bridging mechanism for O-O bond cleavage in cytochrome C oxidase

Density functional theory (B3LYP) has been applied to large models of the Fe(II)-Cu(I) binuclear center in cytochrome oxidase, investigating the mechanism of O-O bond cleavage in the mixed valence form of the enzyme. To comply with experimental information, the O(2) molecule is assumed to be bridging between iron and copper during the O-O bond cleavage, leading to the formation of a ferryl-oxo group and a cupric hydroxide. In accord with previous suggestions, the calculations show that it is energetically feasible to take the fourth electron needed in this reaction from the tyrosine residue that is cross-linked to one of the copper ligands, resulting in the formation of a neutral tyrosyl radical. However, the calculations indicate that simultaneous transfer of an electron and a proton from the tyrosine to dioxygen during bond cleavage leads to a barrier more than 10 kcal/mol higher than that experimentally determined. This may be overcome in two ways. If an extra proton in the binuclear center assists in the mechanism, the calculated reaction barrier agrees with experiment. Alternatively, the fourth electron might initially be supplied by a residue in the vicinity other than the tyrosine.     

Molecular dynamics and free energy perturbation study of hydride-ion transfer step in dihydrofolate reductase using combined quantum and molecular mechanical model

We used molecular dynamics simulation and free energy perturbation (FEP) methods to investigate the hydride-ion transfer step in the mechanism for the nicotinamide adenine dinucleotide phosphate (NADPH)-dependent reduction of a novel substrate by the enzyme dihydrofolate reductase (DHFR). The system is represented by a coupled quantum mechanical and molecular mechanical (QM/MM) model based on the AM1 semiempirical molecular orbital method for the reacting substrate and NADPH cofactor fragments, the AMBER force field for DHFR, and the TIP3P model for solvent water. The FEP calculations were performed for a number of choices for the QM system. The substrate, 8-methylpterin, was treated quantum mechanically in all the calculations, while the larger cofactor molecule was partitioned into various QM and MM regions with the addition of “link” atoms (F, CH₃, and H). Calculations were also carried out with the entire NADPH molecule treated by QM. The free energies of reaction and the net charges on the NADPH fragments were used to determine the most appropriate QM/MM model. The hydride-ion transfer was also carried out over several FEP pathways, and the QM and QM/MM component free energies thus calculated were found to be state functions (i.e., independent of pathway). A ca. 10 kcal/mol increase in free energy for the hydride-ion transfer with an activation barrier of ca. 30 kcal/mol was calculated. The increase in free energy on the hydride-ion transfer arose largely from the QM/MM component. Analysis of the QM/MM energy components suggests that, although a number of charged residues may contribute to the free energy change through long-range electrostatic interactions, the only interaction that can account for the 10 kcal/mol increase in free energy is the hydrogen bond between the carboxylate side chain of Glu30 (avian DHFR) and the activated (protonated) substrate. © 1998 John Wiley & Sons, Inc. J Comput Chem 19: 977–988, 1998     

Antibiotic deactivation by a dizinc beta-lactamase: mechanistic insights from QM/MM and DFT studies

Hybrid quantum mechanical/molecular mechanical (QM/MM) methods and density functional theory (DFT) were used to investigate the initial ring-opening step in the hydrolysis of moxalactam catalyzed by the dizinc L1 beta-lactamase from Stenotrophomonas maltophilia. Anchored at the enzyme active site via direct metal binding as suggested by a recent X-ray structure of an enzyme-product complex (Spencer, J.; et al. J. Am. Chem. Soc. 2005, 127, 14439), the substrate is well aligned with the nucleophilic hydroxide that bridges the two zinc ions. Both QM/MM and DFT results indicate that the addition of the hydroxide nucleophile to the carbonyl carbon in the substrate lactam ring leads to a metastable intermediate via a dominant nucleophilic addition barrier. The potential of mean force obtained by SCC-DFTB/MM simulations and corrected by DFT/MM calculations yields a reaction free energy barrier of 23.5 kcal/mol, in reasonable agreement with the experimental value of 18.5 kcal/mol derived from kcat of 0.15 s(-1). It is further shown that zinc-bound Asp120 plays an important role in aligning the nucleophile, but accepts the hydroxide proton only after the nucleophilic addition. The two zinc ions are found to participate intimately in the catalysis, consistent with the proposed mechanism. In particular, the Zn(1) ion is likely to serve as an "oxyanion hole" in stabilizing the carbonyl oxygen, while the Zn(2) ion acts as an electrophilic catalyst to stabilize the anionic nitrogen leaving group.     

Catalytic roles of active-site amino acid residues of coenzyme B12-dependent diol dehydratase: protonation state of histidine and pull effect of glutamate

The hydrogen abstraction and the OH migration processes catalyzed by diol dehydratase are discussed by means of a quantum mechanical/molecular mechanical method. To evaluate the push effect of His143 and the pull effect of Glu170, we considered three kinds of whole-enzyme model, the protonated and two unprotonated His143 models. A calculated activation energy for the hydrogen abstraction by the adenosyl radical is 15.6 (13.6) kcal/mol in the protonated (unprotonated) His143 model. QM/MM calculational results show that the mechanism of the OH migration is significantly changed by the protonation of His143. In the protonated His143 model, the OH group migration triggered by the full proton donation from the imidazolium to the migrating OH group occurs by a stepwise OH abstraction/re-addition process in which the water production reduces the barrier for the C-O bond cleavage. On the other hand, the OH migration in the unprotonated His143 model proceeds in a concerted manner, as we previously proposed using a simple model including only K+ ion and substrate. The latter mechanism seems to be kinetically more favorable from the calculated energy profiles and is consistent with experimental results. The activation barrier of the OH group migration step is only 1.6 kcal/mol reduced by the hydrogen-bonding interaction between the O2 of the substrate and unprotonated His143. Thus, it is predicted that His143 is not protonated, and therefore the main active-site amino acid residue that lowers the energy of the transition state for the OH group migration is determined to be Glu170.