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ABSTRACT: The combination of quantum mechanics (QM) with molecular mechanics (MM) offers a route to improved accuracy in the study of biological systems, and there is now significant research effort being spent to develop QM/MM methods that can be applied to the calculation of relative free energies. Currently, the computational expense of the QM part of the calculation means that there is no single method that achieves both efficiency and rigor; either the QM/MM free energy method is rigorous and computationally expensive, or the method introduces efficiency-led assumptions that can lead to errors in the result, or a lack of generality of application. In this paper we demonstrate a combined approach to form a single, efficient, and, in principle, exact QM/MM free energy method. We demonstrate the application of this method by using it to explore the difference in hydration of water and methane. We demonstrate that it is possible to calculate highly converged QM/MM relative free energies at the MP2/aug-cc-pVDZ/OPLS level within just two days of computation, using commodity processors, and show how the method allows consistent, high-quality sampling of complex solvent configurational change, both when perturbing hydrophilic water into hydrophobic methane, and also when moving from a MM Hamiltonian to a QM/MM Hamiltonian. The results demonstrate the validity and power of this methodology, and raise important questions regarding the compatibility of MM and QM/MM forcefields, and offer a potential route to improved compatibility.
The Journal of Chemical Physics 02/2008; 128(1):014109. · 3.33 Impact Factor
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ABSTRACT: Modelling of the mechanism of covalent adduct formation by the inhibitor O-arylcarbamate URB524 in FAAH shows that only one of the two possible inhibitor binding orientations is consistent with the experimentally observed irreversible carbamoylation of the nucleophile serine: this is a potentially crucial insight for designing new covalent inhibitors of this promising drug target.
Chemical Communications 02/2008; · 6.17 Impact Factor
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ABSTRACT: Citrate synthase is an archetypal carbon-carbon bond forming enzyme. It promotes the conversion of oxaloacetate (OAA) to citrate by catalyzing the deprotonation (enolization) of acetyl-CoA, followed by nucleophilic attack of the enolate form of this substrate on OAA to form a citryl-CoA intermediate and subsequent hydrolysis. OAA is strongly bound to the active site and its alpha-carbonyl group is polarized. This polarization has been demonstrated spectroscopically, [(Kurz et al., Biochemistry 1985;24:452-457; Kurz and Drysdale, Biochemistry 1987;26:2623-2627)] and has been suggested to be an important catalytic strategy. Substrate polarization is believed to be important in many enzymes. The first step, formation of the acetyl-CoA enolate intermediate, is thought to be rate-limiting in the mesophilic (pig/chicken) enzyme. We have examined the effects of substrate polarization on this key step using quantum mechanical/molecular mechanical (QM/MM) methods. Free energy profiles have been calculated by AM1/CHARMM27 umbrella sampling molecular dynamics (MD) simulations, together with potential energy profiles. To study the influence of OAA polarization, profiles were calculated with different polarization of the OAA alpha-carbonyl group. The results indicate that OAA polarization influences catalysis only marginally but has a larger effect on intermediate stabilization. Different levels of treatment of OAA are compared (MM or QM), and its polarization in the protein and in water analyzed at the B3LYP/6-31+G(d)/CHARMM27 level. Analysis of stabilization by individual residues shows that the enzyme mainly stabilizes the enolate intermediate (not the transition state) through electrostatic (including hydrogen bond) interactions: these contribute much more than polarization of OAA.
Proteins Structure Function and Bioinformatics 12/2007; 69(3):521-35. · 3.39 Impact Factor
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ABSTRACT: The first step of the reaction catalysed by the enzyme citrate synthase is studied here with high level combined quantum mechanical/molecular mechanical (QM/MM) methods (up to the MP2/6-31+G(d)//6-31G(d)/CHARMM level). In the first step of the reaction, acetyl-CoA is deprotonated by Asp375, producing an intermediate, which is the nucleophile for attack on the second substrate, oxaloacetate, prior to hydrolysis of the thioester bond of acetyl-CoA and release of the products. A central question has been whether the nucleophilic intermediate is the enolate of acetyl-CoA, the enol, or an 'enolic' intermediate stabilized by a 'low-barrier' hydrogen bond with His274 at the active site. The imidazole sidechain of His274 is neutral, and donates a hydrogen bond to the carbonyl oxygen of acetyl-CoA in substrate complexes. We have investigated the identity of the nucleophilic intermediate by QM/MM calculations on the substrate (keto), enolate, enol and enolic forms of acetyl-CoA at the active site of citrate synthase. The transition states for proton abstraction from acetyl-CoA by Asp375, and for transfer of the hydrogen bonded proton between His274 and acetyl-CoA have been modelled approximately. The effects of electron correlation are included by MP2/6-31G(d) and MP2/6-31+G(d) calculations on active site geometries produced by QM/MM energy minimization. The results do not support the hypothesis that a low-barrier hydrogen bond is involved in catalysis in citrate synthase, in agreement with earlier calculations. The acetyl-CoA enolate is identified as the only intermediate consistent with the experimental barrier for condensation, stabilized by conventional hydrogen bonds from His274 and a water molecule.
Journal of Molecular Graphics and Modelling 11/2007; 26(3):676-90. · 2.18 Impact Factor
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ABSTRACT: The hydrogen-transfer reaction catalysed by methylamine dehydrogenase (MADH) with methylamine (MA) as substrate is a good model system for studies of proton tunnelling in enzyme reactions--an area of great current interest--for which atomistic simulations will be vital. Here, we present a detailed analysis of the key deprotonation step of the MADH/MA reaction and compare the results with experimental observations. Moreover, we compare this reaction with the related aromatic amine dehydrogenase (AADH) reaction with tryptamine, recently studied by us, and identify possible causes for the differences observed in the measured kinetic isotope effects (KIEs) of the two systems. We have used combined quantum mechanics/molecular mechanics (QM/MM) techniques in molecular dynamics simulations and variational transition state theory with multidimensional tunnelling calculations averaged over an ensemble of paths. The results reveal important mechanistic complexity. We calculate activation barriers and KIEs for the two possible proton transfers identified-to either of the carboxylate oxygen atoms of the catalytic base (Asp428beta)-and analyse the contributions of quantum effects. The activation barriers and tunnelling contributions for the two possible proton transfers are similar and lead to a phenomenological activation free energy of 16.5+/-0.9 kcal mol(-1) for transfer to either oxygen (PM3-CHARMM calculations applying PM3-SRP specific reaction parameters), in good agreement with the experimental value of 14.4 kcal mol(-1). In contrast, for the AADH system, transfer to the equivalent OD1 was found to be preferred. The structures of the enzyme complexes during reaction are analysed in detail. The hydrogen bond of Thr474beta(MADH)/Thr172beta(AADH) to the catalytic carboxylate group and the nonconserved active site residue Tyr471beta(MADH)/Phe169beta(AADH) are identified as important factors in determining the preferred oxygen acceptor. The protein environment has a significant effect on the reaction energetics and hence on tunnelling contributions and KIEs. These environmental effects, and the related clearly different preferences for the two carboxylate oxygen atoms (with different KIEs) in MADH/MA and AADH/tryptamine, are possible causes of the differences observed in the KIEs between these two important enzyme reactions.
ChemPhysChem 09/2007; 8(12):1816-35. · 3.41 Impact Factor
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ABSTRACT: Modern modelling methods can now give a uniquely detailed understanding of enzyme-catalysed reactions, including analysing
mechanisms and identifying determinants of specificity and catalytic efficiency. A new field of computational enzymology has
emerged, which has the potential to contribute significantly to structure-based design, and in developing predictive models
of drug metabolism; for example, in predicting the effects of genetic polymorphisms. This review outlines important techniques
in this area, including quantum chemical model studies, and combined quantum mechanics/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
06/2007: pages 275-304;
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ABSTRACT: Modeling methods allow the identification and analysis of determinants of reactivity and specificity in enzymes. The reaction between glutathione and 1-chloro-2,4-dinitrobenzene (CDNB) is widely used as a standard activity assay for glutathione S-transferases (GSTs). It is important to understand the causes of differences between catalytic GST isoenzymes and the effects of mutations and genetic polymorphisms. Quantum mechanical/molecular mechanical (QM/MM) molecular dynamics simulations have been performed here to investigate the addition of the glutathione anion to CDNB in the wild-type M1-1 GST isoenzyme from rat and in three single point mutant (Tyr6Phe, Tyr115Phe, and Met108Ala) M1-1 GST enzymes. We have developed a specifically parameterized QM/MM method (AM1-SRP/CHARMM22) to model this reaction by fitting to experimental heats of formation and ionization potentials. Free energy profiles were obtained from molecular dynamics simulations of the reaction using umbrella sampling and weighted histogram analysis techniques. The reaction in solution has also been simulated and is compared to the enzymatic reaction. The free energies are in excellent agreement with experimental results. Overall the results of the present study show that QM/MM reaction pathway analysis provides detailed insight into the chemistry of GST and can be used to obtain mechanistic insight into the effects of specific mutations on this catalytic process.
Biochemistry 06/2007; 46(21):6353-63. · 3.42 Impact Factor
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ABSTRACT: Proton tunneling dominates the oxidative deamination of tryptamine catalyzed by the enzyme aromatic amine dehydrogenase. For reaction with the fast substrate tryptamine, a H/D kinetic isotope effect (KIE) of 55 +/- 6 has been reported-one of the largest observed in an enzyme reaction. We present here a computational analysis of this proton-transfer reaction, applying combined quantum mechanics/molecular mechanics (QM/MM) methods (PM3-SRP//PM3/CHARMM22). In particular, we extend our previous computational study (Masgrau et al. Science 2006, 312, 237) by using improved energy corrections, high-level QM/MM methods, and an ensemble of paths to estimate the tunneling contributions. We have carried out QM/MM molecular dynamics simulations and variational transition state theory calculations with small-curvature tunneling corrections. The results provide detailed insight into the processes involved in the reaction. Transfer to the O2 oxygen of the catalytic base, Asp128beta, is found to be the favored reaction both thermodynamically and kinetically, even though O1 is closer in the reactant complex. Comparison of quantum and classical models of proton transfer allows estimation of the contribution of hydrogen tunneling in lowering the barrier to reaction in the enzyme. A reduction of the activation free energy due to tunneling of 3.1 kcal mol-1 is found, which represents a rate enhancement due to tunneling by 2 orders of magnitude. The calculated KIE of 30 is significantly elevated over the semiclassical limit, in agreement with the experimental observations; a semiclassical value of 6 is obtained when tunneling is omitted. A polarization of the C-H bond to be broken is observed due to the close proximity of the catalytic aspartate and the (formally) positively charged imine nitrogen. A comparison is also made with the related quinoprotein methylamine dehydrogenase (MADH)-the much lower KIE of 11 that we obtain for the MADH/methylamine system is found to arise from a more endothermic potential energy surface for the MADH reaction.
The Journal of Physical Chemistry B 04/2007; 111(11):3032-47. · 3.70 Impact Factor
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ABSTRACT: Quantum mechanics/molecular mechanics and molecular dynamics simulations of fatty acid amide hydrolase show that reaction (amide hydrolysis) occurs via a distinct, high energy conformation. This unusual finding has important implications for fatty acid amide hydrolase, a key enzyme in the endocannabinoid system. These results demonstrate the importance of structural fluctuations and the need to include them in the modeling of enzyme reactions. They also show that approaches based simply on studying enzyme-substrate complexes can be misleading for understanding biochemical reactivity.
Biophysical Journal 02/2007; 92(2):L20-2. · 3.65 Impact Factor
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Adrian J Mulholland
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ABSTRACT: Combined quantum mechanics/molecular mechanics (QM/MM) modelling has the potential to answer fundamental questions about enzyme mechanisms and catalysis. Calculations using QM/MM methods can now predict barriers for enzyme-catalysed reactions with unprecedented, near chemical accuracy, i.e. to within 1 kcal/mol in the best cases. Quantitative predictions from first-principles calculations were only previously possible for very small molecules. At this level, quantitative, reliable predictions can be made about the mechanisms of enzyme-catalysed reactions. This development signals a new era of computational biochemistry.
Chemistry Central Journal 02/2007; 1:19. · 3.28 Impact Factor
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ABSTRACT: The fundamental nature of reactivity in cytochrome P450 enzymes is currently controversial. Modelling of bacterial P450cam has suggested an important role for the haem propionates in the catalysis, though this finding has been questioned. Understanding the mechanisms of this enzyme family is important both in terms of basic biochemistry and potentially in the prediction of drug metabolism. We have modelled the hydroxylation of camphor by P450cam, using combined quantum mechanics/molecular mechanics (QM/MM) methods. A set of reaction pathways in the enzyme was determined. We were able to pinpoint the source of the discrepancies in the previous results. We show that when a correct ionization state is assigned to Asp297, no spin density appears on the haem propionates and the protein structure in this region remains preserved. These results indicate that the haem propionates are not involved in catalysis.
Organic & Biomolecular Chemistry 12/2006; 4(21):3931-7. · 3.70 Impact Factor
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ABSTRACT: A recent paper in this journal uses molecular dynamics methods to study hydrolysis of guanosine triphosphate (GTP). The author reports that cleavage of the molecule occurs in less than 5 ps, and leads to a number of fragments including a free oxygen atom and a reduced magnesium ion. This conclusion is not in agreement with the known biochemistry and chemical reactivity of GTP or with previous computational studies of its hydrolysis reaction.
Physical Chemistry Chemical Physics 12/2006; 8(45):5366-7; discussion 5368-9. · 3.57 Impact Factor
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Angewandte Chemie International Edition 11/2006; 45(41):6856-9. · 13.45 Impact Factor
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ABSTRACT: QM/MM calculations provide a means for predicting the electronic structure of the metal center in metalloproteins. Two heme peroxidases, Cytochrome c Peroxidase (CcP) and Ascorbate Peroxidase (APX), have a structurally very similar active site, yet have active intermediates with very different electronic structures. We review our recent QM/MM calculations on these systems, and present new computational data. Our results are in good agreement with experiment, and suggest that the difference in electronic structure is due to a large number of small differences in structure from one protein to another. We also discuss recent QM/MM calculations on the active species of cytochrome P450, in which a similar sensitivity of the electronic structure to the environment is found. However, this does not appear to explain different catalytic profiles of the different drug-metabolizing isoforms of this class of enzyme.
Journal of Computational Chemistry 10/2006; 27(12):1352-62. · 4.58 Impact Factor
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ABSTRACT: It is now widely accepted that enzyme-catalysed C-H bond breakage occurs by quantum mechanical tunnelling. This paradigm shift in the conceptual framework for these reactions away from semi-classical transition state theory (TST, i.e. including zero-point energy, but with no tunnelling correction) has been driven over the recent years by experimental studies of the temperature dependence of kinetic isotope effects (KIEs) for these reactions in a range of enzymes, including the tryptophan tryptophylquinone-dependent enzymes such as methylamine dehydrogenase and aromatic amine dehydrogenase, and the flavoenzymes such as morphinone reductase and pentaerythritol tetranitrate reductase, which produced observations that are also inconsistent with the simple Bell-correction model of tunnelling. However, these data-especially, the strong temperature dependence of reaction rates and the variable temperature dependence of KIEs-are consistent with other tunnelling models (termed full tunnelling models), in which protein and/or substrate fluctuations generate a configuration compatible with tunnelling. These models accommodate substrate/protein (environment) fluctuations required to attain a configuration with degenerate nuclear quantum states and, when necessary, motion required to increase the probability of tunnelling in these states. Furthermore, tunnelling mechanisms in enzymes are supported by atomistic computational studies performed within the framework of modern TST, which incorporates quantum nuclear effects.
Philosophical Transactions of The Royal Society B Biological Sciences 09/2006; 361(1472):1375-86. · 6.40 Impact Factor
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ABSTRACT: We present an atomic-level description of the reaction chemistry of an enzyme-catalyzed reaction dominated by proton tunneling. By solving structures of reaction intermediates at near-atomic resolution, we have identified the reaction pathway for tryptamine oxidation by aromatic amine dehydrogenase. Combining experiment and computer simulation, we show proton transfer occurs predominantly to oxygen O2 of Asp(128)beta in a reaction dominated by tunneling over approximately 0.6 angstroms. The role of long-range coupled motions in promoting tunneling is controversial. We show that, in this enzyme system, tunneling is promoted by a short-range motion modulating proton-acceptor distance and no long-range coupled motion is required.
Science 05/2006; 312(5771):237-41. · 31.20 Impact Factor
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Journal of Physical Organic Chemistry 04/2006; 19(8‐9):608 - 615. · 1.96 Impact Factor
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ABSTRACT: The Fe-CO bond dissociation energy (BDE) in myoglobin (Mb) has been calculated with B3LYP quantum mechanics/molecular mechanics methods for 22 different Mb conformations, generated from molecular dynamics simulations. Our average BDE of 8.1 kcal/mol agrees well with experiment and shows that Mb weakens the Fe-CO bond by 5.8 kcal/mol; the calculations provide detailed atomistic insight into the origin of this effect. BDEs for Mb conformations with the R carbonmonoxy tertiary structure are on average 2.6 kcal/mol larger than those with the T deoxy tertiary structure, suggesting two functionally distinct allosteric states. This allostery is partly explained by the reduction in distal cavity steric crowding as Mb moves from its T to R tertiary structure.
Biophysical Journal 03/2006; 90(4):L27-9. · 3.65 Impact Factor
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ABSTRACT: Modelling of the first step of the deacylation reaction of benzylpenicillin in the E. coli TEM1 beta-lactamase (with B3LYP/6-31G + (d)//AM1-CHARMM22 quantum mechanics/molecular mechanics methods) shows that a mechanism in which Glu166 acts as the base to deprotonate a conserved water molecule is both energetically and structurally consistent with experimental data; the results may assist the design of new antibiotics and beta-lactamase inhibitors.
Organic & Biomolecular Chemistry 02/2006; 4(2):206-10. · 3.70 Impact Factor
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ABSTRACT: Cytochrome c peroxidase (CcP) and ascorbate peroxidase (APX) both involve reactive haem oxoferryl intermediates known as 'compound I' species. These two enzymes also have a very similar structure, especially in the vicinity of the haem group. Despite this similarity, the electronic structure of compound I in the two enzymes is known to be very different. Compound I intermediates have three unpaired electrons, two of which are always situated on the Fe-O core, whilst the third is located in a porphyrin orbital in APX and many other compound I species. In CcP, however, this third unpaired electron is positioned on a tryptophan residue lying close to the haem ring. The same residue is present in the same position in APX, yet it is not oxidized in that case. We report QM/MM calculations, using accurate B3LYP density functional theory for the QM region, on the active intermediate for both enzymes. We reproduce the observed difference in electronic structure, and show that it arises as a result of subtle electrostatic effects which affect the ionization potential of both the tryptophan and porphyrin groups. The computed structures of both enzymes do not involve deprotonation of the tryptophan group, or protonation of the oxoferryl oxygen.
Dalton Transactions 12/2005; · 3.84 Impact Factor