Ab initio QM/MM study shows there is no general acid in the reaction catalyzed by 4-oxalocrotonate tautomerase

Combining Evolutionary Conservation and Quantum Topological Analyses To Determine Quantum Mechanics Subsystems for Biomolecular Quantum Mechanics/Molecular Mechanics Simulations

Selection of residues and other molecular fragments for inclusion in the quantum mechanics (QM) region for QM/molecular mechanics (MM) simulations is an important step for these calculations. Here, we present an approach that combines protein sequence/structure evolution and electron localization function (ELF) analyses. The combination of these two analyses allows the determination of whether a residue needs to be included in the QM subsystem or can be represented by the MM environment. We have applied this approach on two systems previously investigated by QM/MM simulations, 4-oxalocrotonate tautomerase (4OT) and ten-eleven translocation-2 (TET2), that provide examples where fragments may or may not need to be included in the QM subsystem. Subsequently, we present the use of this approach to determine the appropriate QM subsystem to calculate the minimum energy path (MEP) for the reaction catalyzed by human DNA polymerase λ (Polλ) with a third cation in the active site. Our results suggest that the combination of protein evolutionary and ELF analyses provides insights into residue/molecular fragment selection for QM/MM simulations.

Using Atomic Confining Potentials for Geometry Optimization and Vibrational Frequency Calculations in Quantum-Chemical Models of Enzyme Active Sites

Quantum-chemical studies of enzymatic reaction mechanisms sometimes use truncated active-site models as simplified alternatives to mixed quantum mechanics molecular mechanics (QM/MM) procedures. Eliminating the MM degrees of freedom reduces the complexity of the sampling problem, but the trade-off is the need to introduce geometric constraints in order to prevent structural collapse of the model system during geometry optimizations that do not contain a full protein backbone. These constraints may impair the efficiency of the optimization, and care must be taken to avoid artifacts such as imaginary vibrational frequencies. We introduce a simple alternative in which terminal atoms of the model system are placed in soft harmonic confining potentials rather than being rigidly constrained. This modification is simple to implement and straightforward to use in vibrational frequency calculations, unlike iterative constraint-satisfaction algorithms, and allows the optimization to proceed without constraint even though the practical result is to fix the anchor atoms in space. The new approach is more efficient for optimizing minima and transition states, as compared to the use of fixed-atom constraints, and also more robust against unwanted imaginary frequencies. We illustrate the method by application to several enzymatic reaction pathways where entropy makes a significant contribution to the relevant reaction barriers. The use of confining potentials correctly describes reaction paths and facilitates calculation of both vibrational zero-point and finite-temperature entropic corrections to barrier heights.

Insight into wild-type and T1372E TET2-mediated 5hmC oxidation using ab initio QM/MM calculations

Ten-eleven translocation 2 (TET2) is an Fe/α-ketoglutarate (α-KG) dependent enzyme that dealkylates 5-methylcytosine (5mC). The reaction mechanism involves a series of three sequential oxidations that convert 5mC to 5-hydroxy-methylcytosine (5hmC), 5-formylcytosine (5fC) and 5-carboxylcytosine (5caC). Our previous biochemical and computational studies uncovered an active site scaffold that is required for wild-type (WT) stepwise oxidation (Nat. Chem. Bio., 13, 181). We showed that the mutation of a single residue, T1372 to some amino acids, such as Glu, can impact the iterative oxidation steps and stop the oxidation of 5hmC to 5fC/caC. However, the source of the stalling at the first oxidation step by some mutant TET proteins still remains unclear. Here, we studied the catalytic mechanism of oxidation of 5hmC to 5fC by WT and T1372E TET2 using an ab initio quantum mechanical/molecular mechanical (QM/MM) approach. Our results suggest that the rate limiting step for WT TET2 involves a hydrogen atom abstraction from the hydroxyl group of 5hmC by the ferryl moiety in the WT. By contrast, our calculations for the T1372E mutant indicate that the rate limiting step for this variant corresponds to a second proton abstraction and the calculated barrier is almost twice as large as for WT TET2. Our results suggest that the large barrier for the 5hmC to 5fC oxidation in this mutant is due (at least in part) to the unfavorable orientation of the substrate in the active site. Combined electron localization function (ELF) and non-covalent interaction (NCI) analyses provide a qualitative description of the evolution of the electronic structure of the active site along the reaction path. Energy decomposition analysis (EDA) has been performed on the WT to investigate the impact of each MM residue on catalytic activity.

Quantum mechanical force fields for condensed phase molecular simulations

Molecular simulations are powerful tools for providing atomic-level details into complex chemical and physical processes that occur in the condensed phase. For strongly interacting systems where quantum many-body effects are known to play an important role, density-functional methods are often used to provide the model with the potential energy used to drive dynamics. These methods, however, suffer from two major drawbacks. First, they are often too computationally intensive to practically apply to large systems over long time scales, limiting their scope of application. Second, there remain challenges for these models to obtain the necessary level of accuracy for weak non-bonded interactions to obtain quantitative accuracy for a wide range of condensed phase properties. Quantum mechanical force fields (QMFFs) provide a potential solution to both of these limitations. In this review, we address recent advances in the development of QMFFs for condensed phase simulations. In particular, we examine the development of QMFF models using both approximate and ab initio density-functional models, the treatment of short-ranged non-bonded and long-ranged electrostatic interactions, and stability issues in molecular dynamics calculations. Example calculations are provided for crystalline systems, liquid water, and ionic liquids. We conclude with a perspective for emerging challenges and future research directions.

Multiscale Quantum Mechanics/Molecular Mechanics Simulations with Neural Networks

Molecular dynamics simulation with multiscale quantum mechanics/molecular mechanics (QM/MM) methods is a very powerful tool for understanding the mechanism of chemical and biological processes in solution or enzymes. However, its computational cost can be too high for many biochemical systems because of the large number of ab initio QM calculations. Semiempirical QM/MM simulations have much higher efficiency. Its accuracy can be improved with a correction to reach the ab initio QM/MM level. The computational cost on the ab initio calculation for the correction determines the efficiency. In this paper we developed a neural network method for QM/MM calculation as an extension of the neural-network representation reported by Behler and Parrinello. With this approach, the potential energy of any configuration along the reaction path for a given QM/MM system can be predicted at the ab initio QM/MM level based on the semiempirical QM/MM simulations. We further applied this method to three reactions in water to calculate the free energy changes. The free-energy profile obtained from the semiempirical QM/MM simulation is corrected to the ab initio QM/MM level with the potential energies predicted with the constructed neural network. The results are in excellent accordance with the reference data that are obtained from the ab initio QM/MM molecular dynamics simulation or corrected with direct ab initio QM/MM potential energies. Compared with the correction using direct ab initio QM/MM potential energies, our method shows a speed-up of 1 or 2 orders of magnitude. It demonstrates that the neural network method combined with the semiempirical QM/MM calculation can be an efficient and reliable strategy for chemical reaction simulations.

Ambient-Potential Composite Ewald Method for ab Initio Quantum Mechanical/Molecular Mechanical Molecular Dynamics Simulation

A new approach for performing Particle Mesh Ewald in ab initio quantum mechanical/molecular mechanical (QM/MM) simulations with extended atomic orbital basis sets is presented. The new approach, the Ambient-Potential Composite Ewald (CEw) method, does not perform the QM/MM interaction with Mulliken charges nor electrostatically fit charges. Instead the nuclei and electron density interact directly with the MM environment, but in a manner that avoids the use of dense Fourier transform grids. By performing the electrostatics with the underlying QM density, the CEw method avoids self-consistent field instabilities that have been encountered with simple charge mapping procedures. Potential of mean force (PMF) profiles of the p-nitrophenyl phosphate dissociation reaction in explicit solvent are computed from PBE0/6-31G* QM/MM molecular dynamics simulations with various electrostatic protocols. The CEw profiles are shown to be stable with respect to real-space Ewald cutoff, whereas the PMFs computed from truncated and switched electrostatics produce artifacts. PBE0/6-311G**, AM1/d-PhoT, and DFTB2 QM/MM simulations are performed to generate two-dimensional PMF profiles of the phosphoryl transesterification reactions with ethoxide and phenoxide leaving groups. The semiempirical models incorrectly produce a concerted ethoxide mechanism, whereas PBE0 correctly produces a stepwise mechanism. The ab initio reaction barriers agree more closely to experiment than the semiempirical models. The failure of Mulliken-charge QM/MM-Ewald is analyzed.

Reaction Pathway for Cocaine Hydrolase-Catalyzed Hydrolysis of (+)-Cocaine

A recently designed and discovered cocaine hydrolase (CocH), engineered from human butyrylcholinesterase (BChE), has been proven promising as a novel enzyme therapy for treatment of cocaine overdose and addiction because it is highly efficient in catalyzing hydrolysis of naturally occurring (-)-cocaine. It has been known that the CocH also has a high catalytic efficiency against (+)-cocaine, a synthetic enantiomer of cocaine. Reaction pathway and the corresponding free energy profile for the CocH-catalyzed hydrolysis of (+)-cocaine have been determined, in the present study, by performing first-principles pseudobond quantum mechanical/molecular mechanical (QM/MM)-free energy (FE) calculations. Acordingt to the QM/MM-FE results, the catalytic hydrolysis process is initiated by the nucleophilic attack on carbonyl carbon of (-)-cocaine benzoyl ester via hydroxyl oxygen of S198 side chain, and the second reaction step (i.e. dissociation of benzoyl ester) is rate-determining. This finding for CocH-catalyzed hydrolysis of (+)-cocaine is remarkably different from that for the (+)-cocaine hydrolysis catalyzed by bacterial cocaine esterase in which the first reaction step of the deacylation is associated with the highest free energy barrier (~17.9 kcal/mol). The overall free energy barrier (~16.0 kcal/mol) calculated for the acylation stage of CocH-catalyzed hydrolysis of (+)-cocaine is in good agreement with the experimental free energy barrier of ~14.5 kcal/mol derivated from the experimental kinetic data.

A General Boundary Potential for Hybrid QM/MM Simulations of Solvated Biomolecular Systems

We present a general boundary potential for the efficient and accurate evaluation of electrostatic interactions in hybrid quantum mechanical/molecular mechanical (QM/MM) approaches called solvated macromolecule boundary potential (SMBP), which is designed for QM/MM calculations with any kind of QM method. The SMBP targets QM/MM single-point energy calculations and geometry optimizations. In the SMBP scheme, the outer solvent and macromolecule region is described by a boundary potential obtained with the use of Poisson-Boltzmann calculations (treating the bulk solvent as a dielectric continuum). In the QM calculations, the SMBP is represented by virtual point charges on a surface enclosing the explicitly treated inner region. These charges and their interactions with the QM density are determined through a self-consistent reaction field procedure. The accuracy of the SMBP is evaluated on three diverse test systems: the intramolecular proton transfer of glycine in water, the hydroxylation reaction in p-hydroxybenzoate hydroxylase, and the spin state energy splittings in the pentacoordinated ferric complex of cytochrome P450cam. In the case of solvated glycine, application of the SMBP turns out to be problematic since analogous QM/MM/SMBP and full QM/MM geometry optimizations lead to different close-lying local minima. In both enzymes, the SMBP performs very well and closely reproduces the results from full QM/MM optimizations of these more rigid test systems. Starting from optimized QM/MM/SMBP structures along a reaction path, one can apply the previously implemented generalized solvent boundary potential (GSBP) to sample over MM phase space in QM/MM free energy calculations within the framework of free energy perturbation theory. This reduces the overall computational costs of sampling by 1 order of magnitude while maintaining good accuracy. The combined use of SMBP and GSBP thus allows for efficient QM/MM free energy studies of enzymes.

Computational analysis of ammonia transfer along two intramolecular tunnels in Staphylococcus aureus glutamine-dependent amidotransferase (GatCAB)

Most bacteria and all archaea misacylate the tRNAs corresponding to Asn and Gln with Asp and Glu (Asp-tRNA(Asn) and Glu-tRNA(Gln)).The GatCAB enzyme of most bacteria converts misacylated Glu-tRNA(Gln) to Gln-tRNA(Gln) in order to enable the incorporation of glutamine during protein synthesis. The conversion process involves the intramolecular transfer of ammonia between two spatially separated active sites. This study presents a computational analysis of the two putative intramolecular tunnels that have been suggested to describe the ammonia transfer between the two active sites. Molecular dynamics simulations have been performed for wild-type GatCAB of S. aureus and its mutants: T175(A)V, K88(B)R, E125(B)D, and E125(B)Q. The two tunnels have been analyzed in terms of free energy of ammonia transfer along them. The probability of occurrence of each type of tunnel and the variation of the probability for wild-type GatCAB and its mutants is also discussed.

Computational study of putative residues involved in DNA synthesis fidelity checking in Thermus aquaticus DNA polymerase I

A fidelity-checking site for DNA polymerase I has been proposed based on recent single-molecule Förster resonance energy transfer studies. The checking site is believed to ensure proper base pairing of the newly inserted nucleotide. Computational studies have been utilized to predict residues involved in this putative checking site on the Klenow and Bacillus fragments. Here, we employ energy decomposition analysis, electrostatic free energy response, and noncovalent interaction plots to identify the residues involved in the hypothesized checking site in the homologous Klenow fragment from Thermus aquaticus (Klentaq). Our results indicate multiple protein residues that show altered interactions for three mispairs compared to the correctly paired DNA dimer. Many of these residues are also conserved along A family polymerases.

Reaction Path Following with Sparse Interpolation

Computing the potential energy of an N-atom molecule is an expensive optimization process of 3N - 6 molecular coordinates, so following reaction pathways as a function of all 3N - 6 coordinates is unfeasible for large molecules. In this paper, we present a method that isolates d < 3N - 6 molecular coordinates and continuously follows reaction paths on d-dimensional potential energy surfaces approximated by a Smolyak's sparse grid interpolation algorithm.1 Compared to dense grids, sparse grids efficiently improve the ratio of invested storage and computing time to approximation accuracy and thus allow one to increase the number of coordinates d in molecular reaction path following simulations. Furthermore, evaluation of the interpolant is much less expensive than the evaluation of the actual energy function, so our technique offers a computationally efficient way to simulate reaction paths on ground and excited state potential energy surfaces. To demonstrate the capabilities of our method, we present simulation results for the isomerization of 2-butene with two, three, and six degrees of freedom.

Ab initio QM/MM calculations show an intersystem crossing in the hydrogen abstraction step in dealkylation catalyzed by AlkB

AlkB is a bacterial enzyme that catalyzes the dealkylation of alkylated DNA bases. The rate-limiting step is known to be the abstraction of an H atom from the alkyl group on the damaged base by a Fe(IV)-oxo species in the active site. We have used hybrid ab initio quantum mechanical/molecular mechanical methods to study this step in AlkB. Instead of forming an Fe(III)-oxyl radical from Fe(IV)-oxo near the C-H activation transition state, the reactant is found to be an Fe(III)-oxyl with an intermediate-spin Fe (S = 3/2) ferromagnetically coupled to the oxyl radical, which we explore in detail using molecular orbital and quantum topological analyses. The minimum energy pathway remains on the quintet surface, but there is a transition between (IS)Fe(III)-oxyl and the state with a high-spin Fe (S = 5/2) antiferromagnetically coupled to the oxyl radical. These findings provide clarity for the evolution of the well-known π and σ channels on the quintet surface in the enzyme environment. Additionally, an energy decomposition analysis reveals nine catalytically important residues for the C-H activation step, some of which are conserved in two human homologues. These conserved residues are proposed as targets for experimental mutagenesis studies.

Catalytic mechanism of cytochrome P450 for N-methylhydroxylation of nicotine: reaction pathways and regioselectivity of the enzymatic nicotine oxidation

The fundamental reaction mechanism of cytochrome P450 2A6 (CYP2A6)-catalyzed N-methylhydroxylation of (S)-(-)-nicotine and the free energy profile have been studied by performing pseudobond first-principles quantum mechanical/molecular mechanical (QM/MM) reaction-coordinate calculations. In the CYP2A6-(S)-(-)-nicotine binding structures that allow for 5'-hydroxylation, the N-methyl group is also sufficiently close to the oxygen of Cpd I for the N-methylhydroxylation reaction to occur. It has been demonstrated that the CYP2A6-catalyzed N-methylhydroxylation reaction is a concerted process involving a hydrogen-transfer transition state on both the quartet and the doublet states. The N-methylhydroxylation reaction proceeds mainly in the doublet state, since the free energy barriers on the doublet state are lower than the corresponding ones on the quartet state. The calculated free energy barriers indicate that (S)-(-)-nicotine oxidation catalyzed by CYP2A6 proceeds with a high regioselective abstraction of the hydrogen at the 5'-position, rather than the hydrogen at the N-methyl group. The predicted regioselectivity of 93% is in agreement with the most recent experimentally reported regioselectivity of 95%. The binding mode of (S)-(-)-nicotine in the active site of CYP2A6 is an important determinant for the stereoselectivity of nicotine (S)-(-)-oxidation, whereas the regioselectivity of (S)-(-)-nicotine oxidation is determined mainly by the free energy barrier difference between the 5'-hydroxylation and N-methylhydroxylation reactions.

Why does the G117H mutation considerably improve the activity of human butyrylcholinesterase against sarin? Insights from quantum mechanical/molecular mechanical free energy calculations

Human butyrylcholinesterase (BChE) is recognized as the most promising bioscavenger for organophosphorus (OP) warfare nerve agents. The G117H mutant of human BChE has been identified as a potential catalytic bioscavenger with a remarkably improved activity against OP nerve agents such as sarin, but it still does not satisfy the clinical use. For further design of the higher-activity mutants against OP nerve agents, it is essential to understand how the G117H mutation improves the activity. The reaction mechanisms and the free energy profiles for spontaneous reactivation of wild-type BChE and its G117H mutant phosphorylated by sarin have been explored, in this study, by performing first-principles quantum mechanical/molecular mechanical free energy calculations, and the remarkable role of the G117H mutation on the activity has been elucidated. For both the wild-type and G117H mutant enzymes, H438 acts as a general base to initiate the spontaneous reactivation that consists of two reaction steps: the nucleophilic attack at the phosphorus by a water molecule and decomposition of the pentacoordinated phosphorus intermediate. The calculated overall free energy barriers, i.e., 30.2 and 23.9 kcal/mol for the wild type and G117H mutant, respectively, are in good agreement with available experimental kinetic data. On the basis of the calculated results, the mutated residue (H117 in the G117H mutant) cannot initiate the spontaneous reactivation as a general base. Instead, it skews the oxyanion hole and makes the phosphorus more open to the nucleophilic water molecule, resulting in a remarkable change in the rate-determining step and significantly improved catalytic activity of human BChE.

Reaction Pathway and Free Energy Profile for Cocaine Hydrolase-Catalyzed Hydrolysis of (-)-Cocaine

Reaction pathway of (-)-cocaine hydrolysis catalyzed by our recently discovered most efficient cocaine hydrolase, which is the A199S/F227A/S287G/A328W/Y332G mutant of human butyrylcholinesterase (BChE), and the corresponding free energy profile have been studied by performing first-principles pseudobond quantum mechanical/molecular mechanical (QM/MM)-free energy (FE) calculations. Based on the QM/MM-FE results, the catalytic hydrolysis process consists of four major reaction steps, including the nucleophilic attack on carbonyl carbon of (-)-cocaine benzoyl ester by hydroxyl group of S198, dissociation of (-)-cocaine benzoyl ester, nucleophilic attack on carbonyl carbon of (-)-cocaine benzoyl ester by water, and finally the dissociation between (-)-cocaine benzoyl group and S198 of the enzyme. The second reaction step is rate-determining. The calculated free energy barrier associated with the transition state for the rate-determining step is ~15.0 kcal/mol, which is in excellent agreement with the experimentally-derived activation free energy of ~14.7 kcal/mol. The mechanistic insights obtained from the present study will be valuable for rational design of more active cocaine hydrolase against (-)-cocaine. In particular, future efforts aiming at further increasing the catalytic activity of the enzyme against (-)-cocaine should focus on stabilization of the transition state for the second reaction step in which the benzoyl ester of (-)-cocaine dissociates.

Catalytic mechanism of 4-oxalocrotonate tautomerase: significances of protein-protein interactions on proton transfer pathways

4-Oxalocrotonate tautomerase (4-OT), a member of tautomerase superfamily, is an essential enzyme in the degradative metabolism pathway occurring in the Krebs cycle. The proton transfer process catalyzed by 4-OT has been explored previously using both experimental and theoretical methods; however, the elaborate catalytic mechanism of 4-OT still remains unsettled. By combining classical molecular mechanics with quantum mechanics, our results demonstrate that the native hexametric 4-OT enzyme, including six protein monomers, must be employed to simulate the proton transfer process in 4-OT due to protein-protein steric and electrostatic interactions. As a consequence, only three out of the six active sites in the 4-OT hexamer are observed to be occupied by three 2-oxo-4-hexenedioates (2o4hex), i.e., half-of-the-sites occupation. This agrees with experimental observations on negative cooperative effect between two adjacent substrates. Two sequential proton transfers occur: one proton from the C3 position of 2o4hex is initially transferred to the nitrogen atom of the general base, Pro1. Subsequently, the same proton is shuttled back to the position C5 of 2o4hex to complete the proton transfer process in 4-OT. During the catalytic reaction, conformational changes (i.e., 1-carboxyl group rotation) of 2o4hex may occur in the 4-OT dimer model but cannot proceed in the hexametric structure. We further explained that the docking process of 2o4hex can influence the specific reactant conformations and an alternative substrate (2-hydroxymuconate) may serve as reactant under a different reaction mechanism than 2o4hex.

Computational prediction of residues involved in fidelity checking for DNA synthesis in DNA polymerase I

Recent single-molecule Förster resonance energy transfer studies of DNA polymerase I have led to the proposal of a postinsertion fidelity-checking site. This site is hypothesized to ensure proper base pairing of the newly inserted nucleotide. To help test this hypothesis, we have used energy decomposition, electrostatic free energy response, and noncovalent interaction analysis analyses to identify residues involved in this putative checking site. We have used structures of DNA polymerase I from two different organisms, the Klenow fragment from Escherichia coli and the Bacillus fragment from Bacillus stearothermophilus. Our results point to several residues that show altered interactions for three mispairs compared to the correctly paired DNA dimer. Furthermore, many of these residues are conserved among A family polymerases. The identified residues provide potential targets for mutagenesis studies for investigation of the fidelity-checking site hypothesis.

Conical intersections in solution: formulation, algorithm, and implementation with combined quantum mechanics/molecular mechanics method

The significance of conical intersections in photophysics, photochemistry, and photodissociation of polyatomic molecules in gas phase has been demonstrated by numerous experimental and theoretical studies. Optimization of conical intersections of small- and medium-size molecules in gas phase has currently become a routine optimization process, as it has been implemented in many electronic structure packages. However, optimization of conical intersections of small- and medium-size molecules in solution or macromolecules remains inefficient, even poorly defined, due to large number of degrees of freedom and costly evaluations of gradient difference and nonadiabatic coupling vectors. In this work, based on the sequential quantum mechanics and molecular mechanics (QM/MM) and QM/MM-minimum free energy path methods, we have designed two conical intersection optimization methods for small- and medium-size molecules in solution or macromolecules. The first one is sequential QM conical intersection optimization and MM minimization for potential energy surfaces; the second one is sequential QM conical intersection optimization and MM sampling for potential of mean force surfaces, i.e., free energy surfaces. In such methods, the region where electronic structures change remarkably is placed into the QM subsystem, while the rest of the system is placed into the MM subsystem; thus, dimensionalities of gradient difference and nonadiabatic coupling vectors are decreased due to the relatively small QM subsystem. Furthermore, in comparison with the concurrent optimization scheme, sequential QM conical intersection optimization and MM minimization or sampling reduce the number of evaluations of gradient difference and nonadiabatic coupling vectors because these vectors need to be calculated only when the QM subsystem moves, independent of the MM minimization or sampling. Taken together, costly evaluations of gradient difference and nonadiabatic coupling vectors in solution or macromolecules can be reduced significantly. Test optimizations of conical intersections of cyclopropanone and acetaldehyde in aqueous solution have been carried out successfully.

Reaction mechanism for cocaine esterase-catalyzed hydrolyses of (+)- and (-)-cocaine: unexpected common rate-determining step

First-principles quantum mechanical/molecular mechanical free energy calculations have been performed to examine the catalytic mechanism for cocaine esterase (CocE)-catalyzed hydrolysis of (+)-cocaine in comparison with CocE-catalyzed hydrolysis of (-)-cocaine. It has been shown that the acylation of (+)-cocaine consists of nucleophilic attack of the hydroxyl group of Ser117 on the carbonyl carbon of (+)-cocaine benzoyl ester and the dissociation of (+)-cocaine benzoyl ester. The first reaction step of deacylation of (+)-cocaine, which is identical to that of (-)-cocaine, is rate-determining, indicating that CocE-catalyzed hydrolyses of (+)- and (-)-cocaine have a common rate-determining step. The computational results predict that the catalytic rate constant of CocE against (+)-cocaine should be the same as that of CocE against (-)-cocaine, in contrast with the remarkable difference between human butyrylcholinesterase-catalyzed hydrolyses of (+)- and (-)-cocaine. The prediction has been confirmed by experimental kinetic analysis on CocE-catalyzed hydrolysis of (+)-cocaine in comparison with CocE-catalyzed hydrolysis of (-)-cocaine. The determined common rate-determining step indicates that rational design of a high-activity mutant of CocE should be focused on the first reaction step of the deacylation. Furthermore, the obtained mechanistic insights into the detailed differences in the acylation between the (+)- and (-)-cocaine hydrolyses provide indirect clues for rational design of amino acid mutations that could more favorably stabilize the rate-determining transition state in the deacylation and, thus, improve the catalytic activity of CocE. This study provides a valuable mechanistic base for rational design of an improved esterase for therapeutic treatment of cocaine abuse.

Catalytic mechanism of cytochrome P450 for 5'-hydroxylation of nicotine: fundamental reaction pathways and stereoselectivity

A series of computational methods were used to study how cytochrome P450 2A6 (CYP2A6) interacts with (S)-(-)-nicotine, demonstrating that the dominant molecular species of (S)-(-)-nicotine in CYP2A6 active site exists in the free base state (with two conformations, SR(t) and SR(c)), despite the fact that the protonated state is dominant for the free ligand in solution. The computational results reveal that the dominant pathway of nicotine metabolism in CYP2A6 is through nicotine free base oxidation. Further, first-principles quantum mechanical/molecular mechanical free energy (QM/MM-FE) calculations were carried out to uncover the detailed reaction pathways for the CYP2A6-catalyzed nicotine 5'-hydroxylation reaction. In the determined CYP2A6-(S)-(-)-nicotine binding structures, the oxygen of Compound I (Cpd I) can abstract a hydrogen from either the trans-5'- or the cis-5'-position of (S)-(-)-nicotine. CYP2A6-catalyzed (S)-(-)-nicotine 5'-hydroxylation consists of two reaction steps, that is, the hydrogen transfer from the 5'-position of (S)-(-)-nicotine to the oxygen of Cpd I (the H-transfer step), followed by the recombination of the (S)-(-)-nicotine moiety with the iron-bound hydroxyl group to generate the 5'-hydroxynicotine product (the O-rebound step). The H-transfer step is rate-determining. The 5'-hydroxylation proceeds mainly with the stereoselective loss of the trans-5'-hydrogen, that is, the 5'-hydrogen trans to the pyridine ring. The calculated overall stereoselectivity of ∼97% favoring the trans-5'-hydroxylation is close to the observed stereoselectivity of 89-94%. This is the first time it has been demonstrated that a CYP substrate exists dominantly in one protonation state (cationic species) in solution, but uses its less-favorable protonation state (neutral free base) to perform the enzymatic reaction.

Reaction pathway and free-energy barrier for reactivation of dimethylphosphoryl-inhibited human acetylcholinesterase

The dephosphorylation/reactivation mechanism and the corresponding free-energy profile of the dimethylphosphoryl-inhibited conjugate of human acetylcholinesterase (AChE) has been studied by performing first-principles quantum mechanical/molecular mechanical free-energy (QM/MM-FE) calculations. On the basis of the QM/MM-FE results, for the favorable reaction pathway, the entire dephosphorylation/reactivation process consists of three reaction steps, including the nucleophilic water attack on the P atom, the spatial reorganization of the dimethylphosphoryl group, and the dissociation between the dimethylphosphoryl group and Ser203 of AChE. The overall free-energy barrier for the entire dephosphorylation/reactivation reaction is found to be the free-energy change from the initial reactant to the transition state associated with the spatial reorganization step, and the calculated overall free-energy barrier (20.1 to 23.5 kcal/mol) is reasonably close to the experimentally derived activation free energy of 22.3 kcal/mol. In addition, key amino acid residues and their specific roles in the reaction process have been identified.

Fundamental reaction mechanism and free energy profile for (-)-cocaine hydrolysis catalyzed by cocaine esterase

The fundamental reaction mechanism of cocaine esterase (CocE)-catalyzed hydrolysis of (-)-cocaine and the corresponding free energy profile have been studied by performing pseudobond first-principles quantum mechanical/molecular mechanical free energy (QM/MM-FE) calculations. On the basis of the QM/MM-FE results, the entire hydrolysis reaction consists of four reaction steps, including the nucleophilic attack on the carbonyl carbon of (-)-cocaine benzoyl ester by the hydroxyl group of Ser117, dissociation of (-)-cocaine benzoyl ester, nucleophilic attack on the carbonyl carbon of (-)-cocaine benzoyl ester by water, and finally dissociation between the (-)-cocaine benzoyl group and Ser117 of CocE. The third reaction step involving the nucleophilic attack of a water molecule was found to be rate-determining, which is remarkably different from (-)-cocaine hydrolysis catalyzed by wild-type butyrylcholinesterase (BChE; where the formation of the prereactive BChE-(-)-cocaine complex is rate-determining) or its mutants containing Tyr332Gly or Tyr332Ala mutation (where the first chemical reaction step is rate-determining). Besides, the role of Asp259 in the catalytic triad of CocE does not follow the general concept of the "charge-relay system" for all serine esterases. The free energy barrier calculated for the rate-determining step of CocE-catalyzed hydrolysis of (-)-cocaine is 17.9 kcal/mol, which is in good agreement with the experimentally derived activation free energy of 16.2 kcal/mol. In the present study, where many sodium ions are present, the effects of counterions are found to be significant in determining the free energy barrier. The finding of the significant effects of counterions on the free energy barrier may also be valuable in guiding future mechanistic studies on other charged enzymes.

Calculating solution redox free energies with ab initio quantum mechanical/molecular mechanical minimum free energy path method

A quantum mechanical/molecular mechanical minimum free energy path (QM/MM-MFEP) method was developed to calculate the redox free energies of large systems in solution with greatly enhanced efficiency for conformation sampling. The QM/MM-MFEP method describes the thermodynamics of a system on the potential of mean force surface of the solute degrees of freedom. The molecular dynamics (MD) sampling is only carried out with the QM subsystem fixed. It thus avoids "on-the-fly" QM calculations and thus overcomes the high computational cost in the direct QM/MM MD sampling. In the applications to two metal complexes in aqueous solution, the new QM/MM-MFEP method yielded redox free energies in good agreement with those calculated from the direct QM/MM MD method. Two larger biologically important redox molecules, lumichrome and riboflavin, were further investigated to demonstrate the efficiency of the method. The enhanced efficiency and uncompromised accuracy are especially significant for biochemical systems. The QM/MM-MFEP method thus provides an efficient approach to free energy simulation of complex electron transfer reactions.

Mechanism of Cdc25B phosphatase with the small molecule substrate p-nitrophenyl phosphate from QM/MM-MFEP calculations

Cdc25B is a dual-specificity phosphatase that catalyzes the dephosphorylation of the Cdk2/CycA protein complex. This enzyme is an important regulator of the human cell cycle and has been identified as a potential anticancer target. In general, protein tyrosine phosphatases are thought to bind the dianionic form of the phosphate and employ general acid catalysis via the Asp residue in the highly conserved WPD-loop. However, the Cdc25 phosphatases form a special subfamily based on their distinct differences from other protein tyrosine phosphatases. Although Cdc25B contains the (H/V)CX(5)R catalytic motif present in all other protein tyrosine phosphatases, it lacks an analogous catalytic acid residue. No crystallographic data currently exist for the complex of Cdc25B with Cdk2/CycA, so in addition to its natural protein substrate, experimental and theoretical studies are often carried out with small molecule substrates. In an effort to gain understanding of the dephosphorylation mechanism of Cdc25B with a commonly used small molecule substrate, we have performed simulations of the rate-limiting step of the reaction catalyzed by Cdc25B with the substrate p-nitrophenyl phosphate using the recently developed QM/MM Minimum Free Energy Path method (Hu et al. J. Chem. Phys. 2008, 034105). We have simulated the first step of the reaction with both the monoanionic and the dianionic forms of the substrate, and our calculations favor a mechanism involving the monoanionic form. Thus, Cdc25 may employ a unique dephosphorylation mechanism among protein tyrosine phosphatases, at least in the case of the small molecule substrate p-nitrophenyl phosphate.

Recent developments of the quantum chemical cluster approach for modeling enzyme reactions

The quantum chemical cluster approach for modeling enzyme reactions is reviewed. Recent applications have used cluster models much larger than before which have given new modeling insights. One important and rather surprising feature is the fast convergence with cluster size of the energetics of the reactions. Even for reactions with significant charge separation it has in some cases been possible to obtain full convergence in the sense that dielectric cavity effects from outside the cluster do not contribute to any significant extent. Direct comparisons between quantum mechanics (QM)-only and QM/molecular mechanics (MM) calculations for quite large clusters in a case where the results differ significantly have shown that care has to be taken when using the QM/MM approach where there is strong charge polarization. Insights from the methods used, generally hybrid density functional methods, have also led to possibilities to give reasonable error limits for the results. Examples are finally given from the most extensive study using the cluster model, the one of oxygen formation at the oxygen-evolving complex in photosystem II.

Polymerase-tailored variations in the water-mediated and substrate-assisted mechanism for nucleotidyl transfer: insights from a study of T7 DNA polymerase

The nucleotidyl transfer reaction catalyzed by DNA polymerases is the critical step governing the accurate transfer of genetic information during DNA replication, and its malfunctioning can cause mutations leading to human diseases, including cancer. Here, utilizing ab initio quantum mechanical/molecular mechanical calculations with free-energy perturbation, we carried out an extensive investigation of the nucleotidyl transfer reaction mechanism in the well-characterized high-fidelity replicative DNA polymerase from phage T7. Our defined mechanism entails an initial concerted deprotonation of a conserved crystal water molecule with protonation of the gamma-phosphate of the deoxynucleotide triphosphate(dNTP) via a solvent water molecule, and then the proton on the primer 3'-terminus is transferred to the resulting hydroxide ion. Subsequently, the nucleophilic attack takes place, with the formation of a metastable pentacovalent phosphorane intermediate. Finally, the pyrophosphate leaves, facilitated by the relay of the proton on the gamma-phosphate to the alpha-beta bridging oxygen via solvent water. The computed activation free-energy barrier is consistent with kinetic data for the chemistry step with correct nucleotide incorporation in T7 DNA polymerase. This variant of the water-mediated and substrate-assisted mechanism has features tailored to the structure of the T7 DNA polymerase. However, a unifying theme in the water-mediated and substrate-assisted mechanism is the cycling through crystal and solvent water molecules of the proton originating from the primer 3'-terminus to the alpha-beta bridging oxygen of the deoxynucleotide triphosphate; this neutralizes the evolving negative charge as pyrophosphate leaves and restores the polymerase to its pre-chemistry state. These unifying features are likely requisite elements for nucleotidyl transfer reactions.

Reaction mechanism of the epsilon subunit of E. coli DNA polymerase III: insights into active site metal coordination and catalytically significant residues

The 28 kDa epsilon subunit of Escherichia coli DNA polymerase III is the exonucleotidic proofreader responsible for editing polymerase insertion errors. Here, we study the mechanism by which epsilon carries out the exonuclease activity. We performed quantum mechanics/molecular mechanics calculations on the N-terminal domain containing the exonuclease activity. Both the free-epsilon and a complex epsilon bound to a theta homologue (HOT) were studied. For the epsilon-HOT complex Mg(2+) or Mn(2+) were investigated as the essential divalent metal cofactors, while only Mg(2+) was used for free-epsilon. In all calculations a water molecule bound to the catalytic metal acts as the nucleophile for hydrolysis of the phosphate bond. Initially, a direct proton transfer to H162 is observed. Subsequently, the nucleophilic attack takes place followed by a second proton transfer to E14. Our results show that the reaction catalyzed with Mn(2+) is faster than that with Mg(2+), in agreement with experiment. In addition, the epsilon-HOT complex shows a slightly lower energy barrier compared to free-epsilon. In all cases the catalytic metal is observed to be pentacoordinated. Charge and frontier orbital analyses suggest that charge transfer may stabilize the pentacoordination. Energy decomposition analysis to study the contribution of each residue to catalysis suggests that there are several important residues. Among these, H98, D103, D129, and D146 have been implicated in catalysis by mutagenesis studies. Some of these residues were found to be structurally conserved on human TREX1, the exonuclease domains from E. coli DNA-Pol I, and the DNA polymerase of bacteriophage RB69.

Development and application of ab initio QM/MM methods for mechanistic simulation of reactions in solution and in enzymes

Determining the free energies and mechanisms of chemical reactions in solution and enzymes is a major challenge. For such complex reaction processes, combined quantum mechanics/molecular mechanics (QM/MM) method is the most effective simulation method to provide an accurate and efficient theoretical description of the molecular system. The computational costs of ab initio QM methods, however, have limited the application of ab initio QM/MM methods. Recent advances in ab initio QM/MM methods allowed the accurate simulation of the free energies for reactions in solution and in enzymes and thus paved the way for broader application of the ab initio QM/MM methods. We review here the theoretical developments and applications of the ab initio QM/MM methods, focusing on the determination of reaction path and the free energies of the reaction processes in solution and enzymes.

Critical role of substrate conformational change in the proton transfer process catalyzed by 4-oxalocrotonate tautomerase

4-Oxalocrotonate tautomerase enzyme (4-OT) catalyzes the isomerization of 2-oxo-4-hexenedioate to 2-oxo-3-hexenedioate. The chemical process involves two proton transfers, one from a carbon of the substrate to the nitrogen of Pro1 and another from this nitrogen atom to a different carbon of the substrate. In this paper the isomerization has been studied using the combined quantum mechanical and molecular mechanical method with a dual-level treatment of the quantum subsystem employing the MPW1BK density functional as the higher level. Exploration of the potential energy surface shows that the process is stepwise, with a stable intermediate state corresponding to the deprotonated substrate and a protonated proline. The rate constant of the overall process has been evaluated using ensemble-averaged variational transition state theory, including the quantized vibrational motion of a primary zone of active-site atoms and a transmission coefficient based on an ensemble of optimized reaction coordinates to account for recrossing trajectories and optimized multidimensional tunneling. The two proton-transfer steps have similar free energy barriers, but the transition state associated with the first proton transfer is found to be higher in energy. The calculations show that reaction progress is coupled to a conformational change of the substrate, so it is important that the simulation allows this flexibility. The coupled conformational change is promoted by changes in the electron distribution of the substrate that take place as the proton transfers occur.

A pseudobond parametrization for improved electrostatics in quantum mechanical/molecular mechanical simulations of enzymes

The pseudobond method is used in quantum mechanical/molecular mechanical (QM/MM) simulations in which a covalent bond connects the quantum mechanical and classical subsystems. In this method, the molecular mechanical boundary atom is replaced by a special quantum mechanical atom with one free valence that forms a bond with the rest of the quantum mechanical subsystem. This boundary atom is modified through the use of a parametrized effective core potential and basis set. The pseudobond is designed to reproduce the properties of the covalent bond that it has replaced, while invoking as small a perturbation as possible on the system. Following the work of Zhang [J. Chem. Phys. 122, 024114 (2005)], we have developed new pseudobond parameters for use in the simulation of enzymatic systems. Our parameters yield improved electrostatics and deprotonation energies, while at the same time maintaining accurate geometries. We provide parameters for C(ps)(sp(3))-C(sp(3)), C(ps)(sp(3))-C(sp(2),carbonyl), and C(ps)(sp(3))-N(sp(3)) pseudobonds, which allow the interface between the quantum mechanical and molecular mechanical subsystems to be constructed at either the C(alpha)-C(beta) bond of a given amino acid residue or along the peptide backbone. In addition, we demonstrate the efficiency of our parametrization method by generating residue-specific pseudobond parameters for a single amino acid. Such an approach may enable higher accuracy than general purpose parameters for specific QM/MM applications.

Highly dissociative and concerted mechanism for the nicotinamide cleavage reaction in Sir2Tm enzyme suggested by ab initio QM/MM molecular dynamics simulations

Sir2 enzymes catalyze the NAD+-dependent protein deacetylation and play critical roles in epigenetics, cell death, and lifespan regulation. In spite of a current flurry of experimental studies, the catalytic mechanism for this unique and important class of enzymes remains elusive. Employing on-the-fly Born-Oppenheimer molecular dynamics simulations with the B3LYP/6-31G(d) QM/MM potential and the umbrella sampling method, we have characterized the initial step of the Sir2Tm-catalyzed reaction, which is also the most controversial portion of its mechanism. Our results indicate that the nicotinamide cleavage reaction employs a highly dissociative and concerted displacement mechanism: the cleavage of the glycosidic bond is facilitated by the nucleophilic participation of the acetyl-lysine, and the dissociative transition state has a significant oxocarbenium ion character. During this step of the reaction, the Sir2Tm enzyme strongly stabilizes the covalent O-alkylamidate intermediate whereas its effect on the transition state is quite minimal. In addition, functional roles of key residues and motifs have been elucidated. This work further demonstrates the feasibility and applicability of the state-of-the-art ab initio QM/MM molecular dynamics approach in simulating enzyme reactions.

A quantum mechanical/molecular mechanical study on the catalysis of the pyridoxal 5'-phosphate-dependent enzyme L-serine dehydratase

The catalytic mechanism of a pyridoxal 5'-phosphate-dependent enzyme, l-serine dehydratase, has been investigated using ab initio quantum mechanical/molecular mechanical (QM/MM) methods. New insights into the chemical steps have been obtained, including the chemical role of the substrate carboxyl group in the Schiff base formation step and a proton-relaying mechanism involving the phosphate of the cofactor in the beta-hydroxyl-leaving step. The latter step is of no barrier and follows sequentially after the elimination of the alpha-proton, leading to a single but sequential alpha, beta-elimination step. The rate-limiting transition state is specifically stabilized by the enzyme environment. At this transition state, charges are localized on the substrate carboxyl group, as well as on the amino group of Lys41. Specific interactions of the enzyme environment with these groups are able to lower the activation barrier significantly. One major difficulty associated with studies of complicated enzymatic reactions using ab initio QM/MM models is the appropriate choices of reaction coordinates. In this study, we have made use of efficient semiempirical models and pathway optimization techniques to overcome this difficulty.

Catalytic mechanism of human DNA polymerase lambda with Mg2+ and Mn2+ from ab initio quantum mechanical/molecular mechanical studies

DNA polymerases play a crucial role in the cell cycle due to their involvement in genome replication and repair. Understanding the reaction mechanism by which these polymerases carry out their function can provide insights into these processes. Recently, the crystal structures of human DNA polymerase lambda (Pollambda) have been reported both for pre- and post-catalytic complexes [García-Díaz et al., DNA Repair 3 (2007), 1333]. Here we employ the pre-catalytic complex as a starting structure for the determination of the catalytic mechanism of Pollambda using ab initio quantum mechanical/molecular mechanical methods. The reaction path has been calculated using Mg(2+) and Mn(2+) as the catalytic metals. In both cases the reaction proceeds through a two-step mechanism where the 3'-OH of the primer sugar ring is deprotonated by one of the conserved Asp residues (D490) in the active site before the incorporation of the nucleotide to the nascent DNA chain. A significant charge transfer is observed between both metals and some residues in the active site as the reaction proceeds. The optimized reactant and product structures agree with the reported crystal structures. In addition, the calculated reaction barriers for both metals are close to experimentally estimated barriers. Energy decomposition analysis to explain individual residue contributions suggests that several amino acids surrounding the active site are important for catalysis. Some of these residues, including R420, R488 and E529, have been implicated in catalysis by previous mutagenesis experiments on the homologous residues on Polbeta. Furthermore, Pollambda residues R420 and E529 found to be important from the energy decomposition analysis, are homologous to residues R183 and E295 in Polbeta, both of which are linked to cancer. In addition, residues R386, E391, K422 and K472 appear to have an important role in catalysis and could be a potential target for mutagenesis experiments. There is partial conservation of these residues across the Pol X family of DNA polymerases.

Incorrect nucleotide insertion at the active site of a G:A mismatch catalyzed by DNA polymerase beta

Based on a recent ternary complex crystal structure of human DNA polymerase beta with a G:A mismatch in the active site, we carried out a theoretical investigation of the catalytic mechanism of incorrect nucleotide incorporation using molecular dynamics simulation, quantum mechanics, combined quantum mechanics, and molecular mechanics methods. A two-stage mechanism is proposed with a nonreactive active-site structural rearrangement prechemistry step occurring before the nucleotidyl transfer reaction. The free energy required for formation of the prechemistry state is found to be the major factor contributing to the decrease in the rate of incorrect nucleotide incorporation compared with correct insertion and therefore to fidelity enhancement. Hence, the transition state and reaction barrier for phosphodiester bond formation after the prechemistry state are similar to that for correct insertion reaction. Key residues that provide electrostatic stabilization of the transition state are identified.

Free energies of chemical reactions in solution and in enzymes with ab initio quantum mechanics/molecular mechanics methods

Combined quantum mechanics/molecular mechanics (QM/MM) methods provide an accurate and efficient energetic description of complex chemical and biological systems, leading to significant advances in the understanding of chemical reactions in solution and in enzymes. Here we review progress in QM/MM methodology and applications, focusing on ab initio QM-based approaches. Ab initio QM/MM methods capitalize on the accuracy and reliability of the associated quantum-mechanical approaches, however, at a much higher computational cost compared with semiempirical quantum-mechanical approaches. Thus reaction-path and activation free-energy calculations based on ab initio QM/MM methods encounter unique challenges in simulation timescales and phase-space sampling. This review features recent developments overcoming these challenges and enabling accurate free-energy determination for reaction processes in solution and in enzymes, along with applications.

Anisotropic, Polarizable Molecular Mechanics Studies of Inter- and Intramolecular Interactions and Ligand-Macromolecule Complexes. A Bottom-Up Strategy

We present an overview of the SIBFA polarizable molecular mechanics procedure, which is formulated and calibrated on the basis of quantum chemistry (QC). It embodies nonclassical effects such as electrostatic penetration, exchange-polarization, and charge transfer. We address the issues of anisotropy, nonadditivity, and transferability by performing parallel QC computations on multimolecular complexes. These encompass multiply H-bonded complexes and polycoordinated complexes of divalent cations. Recent applications to the docking of inhibitors to Zn-metalloproteins are presented next, namely metallo-beta-lactamase, phosphomannoisomerase, and the nucleocapsid of the HIV-1 retrovirus. Finally, toward third-generation intermolecular potentials based on density fitting, we present the development of a novel methodology, the Gaussian electrostatic model (GEM), which relies on ab initio-derived fragment electron densities to compute the components of the total interaction energy. As GEM offers the possibility of a continuous electrostatic model going from distributed multipoles to densities, it allows an inclusion of short-range quantum effects in the molecular mechanics energies. The perspectives of an integrated SIBFA/GEM/QM procedure are discussed.

Unexpected deacetylation mechanism suggested by a density functional theory QM/MM study of histone-deacetylase-like protein

To characterize the catalytic mechanism for zinc-dependent histone deacetylases (HDAC), we have carried out density functional theory QM/MM studies on the deacetylation reaction catalyzed by a histone-deacetylase-like protein (HDLP). The calculation results do not support the previous mechanistic hypothesis, but suggest a lower protonation state for the active site as well as a 4-fold zinc coordination during the reaction process. To characterize such mechanistic difference is not only significant for our fundamental understanding of its inner workings but also crucial for the design of HDAC inhibitors.