Mechanism and plasticity of isochorismate pyruvate lyase: a computational study.

The isochorismate pyruvate lyase (IPL) from Pseudomonas aeruginosa, designated as PchB, catalyzes the transformation of isochorismate into pyruvate and salicylate, but it also catalyzes the rearrangement of chorismate into prephenate, suggesting that both reactions may proceed by a pericyclic mechanism. In this work, molecular dynamics simulations employing hybrid quantum mechanics/molecular mechanics methods have been carried out to get a detailed knowledge of the reaction mechanism of PchB. The results provide a theoretical rate constant enhancement by comparison with the reaction in solution, in agreement with the experimental data, and confirm the pericyclic nature of the reaction mechanism. The robustness of this promiscuous enzyme has been checked by considering the impact of Ala37Ile mutation, previously proposed by us to improve the secondary chorismate mutase (CM) activity. The effect of this mutation, which was shown to increase the rate constant for the CM activity by a factor of 10(3), also increases the IPL catalytic efficiency, although only by a factor of 6.

Computational design of biological catalysts.

The purpose of this tutorial review is to illustrate the way to design new and powerful catalysts. The first possibility to get a biological catalyst for a given chemical process is to use existing enzymes that catalyze related reactions. The second possibility is the use of immune systems that recognize stable molecules resembling the transition structure of the target reaction. We finally show how computational techniques are able to provide an enormous quantity of information, providing clues to guide the development of new biological catalysts.

Theoretical study of catalytic efficiency of a Diels-Alderase catalytic antibody: an indirect effect produced during the maturation process.

The Diels-Alder reaction is one of the most important and versatile transformations available to organic chemists for the construction of complex natural products, therapeutics agents, and synthetic materials. Given the lack of efficient enzymes capable of catalyzing this kind of reaction, it is of interest to ask whether a biological catalyst could be designed from an antibody-combining site. In the present work, a theoretical study of the different behavior of a germline catalytic antibody (CA) and its matured form, 39 A-11, that catalyze a Diels-Alder reaction has been carried out. A free-energy perturbation technique based on a hybrid quantum-mechanics/molecular-mechanics scheme, together with internal energy minimizations, has allowed free-energy profiles to be obtained for both CAs. The profiles show a smaller barrier for the matured form, which is in agreement with the experimental observation. Free-energy profiles were obtained with this methodology, thereby avoiding the much more demanding two-dimensional calculations of the energy surfaces that are normally required to study this kind of reaction. Structural analysis and energy evaluations of substrate-protein interactions have been performed from averaged structures, which allows understanding of how the single mutations carried out during the maturation process can be responsible for the observed fourfold enhancement of the catalytic rate constant. The conclusion is that the mutation effect in this studied germline CA produces a complex indirect effect through coupled movements of the backbone of the protein and the substrate.

A quantum mechanic/molecular mechanic study of the wild-type and N155S mutant HIV-1 integrase complexed with diketo acid.

Integrase (IN) is one of the three human immunodeficiency virus type 1 (HIV-1) enzymes essential for effective viral replication. Recently, mutation studies have been reported that have shown that a certain degree of viral resistance to diketo acids (DKAs) appears when some amino acid residues of the IN active site are mutated. Mutations represent a fascinating experimental challenge, and we invite theoretical simulations for the disclosure of still unexplored features of enzyme reactions. The aim of this work is to understand the molecular mechanisms of HIV-1 IN drug resistance, which will be useful for designing anti-HIV inhibitors with unique resistance profiles. In this study, we use molecular dynamics simulations, within the hybrid quantum mechanics/molecular mechanics (QM/MM) approach, to determine the protein-ligand interaction energy for wild-type and N155S mutant HIV-1 IN, both complexed with a DKA. This hybrid methodology has the advantage of the inclusion of quantum effects such as ligand polarization upon binding, which can be very important when highly polarizable groups are embedded in anisotropic environments, for example in metal-containing active sites. Furthermore, an energy terms decomposition analysis was performed to determine contributions of individual residues to the enzyme-inhibitor interactions. The results reveal that there is a strong interaction between the Lys-159, Lys-156, and Asn-155 residues and Mg(2+) cation and the DKA inhibitor. Our calculations show that the binding energy is higher in wild-type than in the N155S mutant, in accordance with the experimental results. The role of the mutated residue has thus been checked as maintaining the structure of the ternary complex formed by the protein, the Mg(2+) cation, and the inhibitor. These results might be useful to design compounds with more interesting anti-HIV-1 IN activity on the basis of its three-dimensional structure.

Enzymatic effects on reactant and transition states. The case of chalcone isomerase.

Chalcone isomerase catalyzes the transformation of chalcone to naringerin as a part of flavonoid biosynthetic pathways. The global reaction takes place through a conformational change of the substrate followed by chemical reaction, being thus an excellent example to analyze current theories about enzyme catalysis. We here present a detailed theoretical study of the enzymatic action on the conformational pre-equilibria and on the chemical steps for two different substrates of this enzyme. Free-energy profiles are obtained in terms of potentials of mean force using hybrid quantum mechanics/molecular mechanics potentials. The role of the enzyme becomes clear when compared to the counterpart equilibria and reactions in aqueous solution. The enzyme does not only favor the chemical reaction lowering the corresponding activation free energy but also displaces the conformational equilibria of the substrates toward the reactive form. These results, which can be rationalized in terms of the electrostatic interactions established in the active site between the substrate and the environment, agree with a more general picture of enzyme catalysis. According to this, an active site designed to accommodate the transition state of the reaction would also have consequences on the reactant state, stabilizing those forms which are geometrically and/or electronically closer to the transition structure.

A quantum mechanics/molecular mechanics study of the protein-ligand interaction for inhibitors of HIV-1 integrase.

Human immunodeficiency virus type-1 integrase (HIV-1 IN) is an essential enzyme for effective viral replication. Diketo acids such as L-731,988 and S-1360 are potent and selective inhibitors of HIV-1 IN. In this study, we used molecular dynamics simulations, within the hybrid quantum mechanics/molecular mechanics (QM/MM) approach, to determine the protein-ligand interaction energy between HIV-1 IN and L-731,988 and 10 of its derivatives and analogues. This hybrid methodology has the advantage that it includes quantum effects such as ligand polarisation upon binding, which can be very important when highly polarisable groups are embedded in anisotropic environments, as for example in metal-containing active sites. Furthermore, an energy decomposition analysis was performed to determine the contributions of individual residues to the enzyme-inhibitor interactions on averaged structures obtained from rather extensive conformational sampling. Analysis of the results reveals first that there is a correlation between protein-ligand interaction energy and experimental strand transfer into human chromosomes and secondly that the Asn-155, Lys-156 and Lys-159 residues and the Mg(2+) ion are crucial to anti-HIV IN activity. These results may explain the available experimental data.

Calculation of binding energy using BLYP/MM for the HIV-1 integrase complexed with the S-1360 and two analogues.

Integrase (IN) is one of the three human immunodeficiency virus type 1 (HIV-1) enzymes essential for effective viral replication. S-1360 is a potent and selective inhibitor of HIV-1 IN. In this work, we have carried out molecular dynamics (MD) simulations using a hybrid Quantum Mechanics/Molecular Mechanics (QM/MM) approach, to determine the protein-ligand interaction energy for S-1360 and two analogues. Analysis of the MD trajectories reveals that the strongest protein-inhibitor interactions, observed in the three studied complexes, are established with Lys-159 residue and Mg(2+) cation. Calculations of binding energy using BLYP/MM level of theory reveal that there is a direct relationship between this theoretical computed property and the experimental determined anti-HIV activity.

A computational study of the protein-ligand interactions in CDK2 inhibitors: using quantum mechanics/molecular mechanics interaction energy as a predictor of the biological activity.

We report a combined quantum mechanics/molecular mechanics (QM/MM) study to determine the protein-ligand interaction energy between CDK2 (cyclin-dependent kinase 2) and five inhibitors with the N(2)-substituted 6-cyclohexyl-methoxy-purine scaffold. The computational results in this work show that the QM/MM interaction energy is strongly correlated to the biological activity and can be used as a predictor, at least within a family of substrates. A detailed analysis of the protein-ligand structures obtained from molecular dynamics simulations shows specific interactions within the active site that, in some cases, have not been reported before to our knowledge. The computed interaction energy gauges the strength of protein-ligand interactions. Finally, energy decomposition and multiple regression analyses were performed to check the contribution of the electrostatic and van der Waals energies to the total interaction energy and to show the capabilities of the computational model to identify new potent inhibitors.

Comparative computational analysis of different active site conformations and substrates in a chalcone isomerase catalyzed reaction.

Chalcone isomerase catalyzes the transformation of chalcones to flavanones. We present a computational study of the rate-limiting chemical step, an intramolecular Michael addition of a 2'-oxyanion to the alpha,beta-double bound. By using quantum mechanical/molecular mechanical hybrid methods we traced the free-energy profiles associated with the reaction of two different substrates (chalcone and 6'-deoxychalcone) in two different conformations of the active site that are described in the different crystallographic structures available. We have obtained significant differences (about 4 kcal/mol) in the free-energy barriers calculated for the two active sites. According to our results, the active site conformation with larger catalytic power presents a positively charged lysine residue much closer to the substrate than the other. Complementary electronic and electrostatic analysis shows that the charge is transferred from the 2'-oxyanion to the beta-carbon atom. Interactions of the environment with these two atoms are essential to understand the differences between both active sites and also the origin of catalysis in this enzyme.

Hybrid quantum mechanics/molecular mechanics simulations with two-dimensional interpolated corrections: application to enzymatic processes.

Hybrid quantum mechanics/molecular mechanics (QM/MM) techniques are widely used to study chemical reactions in large systems. Because of the computational cost associated with the high dimensionality of these systems, the quantum description is usually restricted to low-level methods, such as semiempirical Hamiltonians. In some cases, the description obtained at this computational level is quite poor and corrections must be considered. We here propose a simple but efficient way to include higher-level corrections to be used in potential energy surface explorations and in the calculation of potentials of mean force. We evaluate a correction energy term as the difference between a high-level and a low-level calculation on the QM subsystem, employing either the polarized or the gas-phase wave function, obtained as a function of two geometrical coordinates relevant in the process considered. Through the use of two-dimensional bicubic splines this correction energy is included in the simulations, ensuring the continuity and derivability of the energy function. We have tested the proposed scheme with two prototypical examples: the chorismate to prephenate rearrangement catalyzed by Bacillus subtilis chorismate mutase and the catechol methylation catalyzed by catechol O-methyltransferase. In both cases the use of interpolated corrections clearly improves the energetic and geometric descriptions of the reaction.

Activation free energy of catechol O-methyltransferase. Corrections to the potential of mean force.

We use quantum mechanics/molecular mechanics (QM/MM) calculations to estimate the activation free energy for the chemical reaction catalyzed by catechol O-methyltransferase. While in many cases the activation free energy of a chemical process is directly determined by the potential of mean force associated with a particular reaction coordinate, here we have included several corrections that have been proposed in the literature. These include the free energy change associated with release of the reaction coordinate motion in the reactant state, consideration of the curvilinear nature of the reaction coordinate, and correction due to the classical treatment of molecular vibrations. In addition, since potentials of mean force are usually obtained from low levels of QM theory to describe the quantum subsystem, we have included an interpolated correction term to improve this description at small additional cost. This last correction term has a dramatic effect, improving the agreement between the theoretical predictions and the experimental value, while the other terms considered make only small contributions to this particular reaction.

Stereoselectivity behavior of the AZ28 antibody catalyzed oxy-Cope rearrangement.

Catalytic antibodies are very interesting not only because of the rate enhancement of the reactions that they catalyze but also because of the selectivities they can achieve that are sometimes not present in natural enzyme processes. We have selected the study of the stereoselectivity of the matured AZ28 that catalyzes an oxy-Cope rearrangement. For this particular case, the presence of a chiral center in the substrate provokes the existence of two different enantiomers, R and S. Furthermore, it is also possible to locate two different orientations for the hydroxyl group in the central ring of the substrate in the transition state, equatorial and axial, rendering two different conformers. In this paper we present the free energy profiles obtained for different substrate isomers in the cavity created by the matured catalytic antibody. Our simulations have reproduced the stereoselectivity of the matured AZ28, differentiating between the axial or equatorial orientations and preferentially stabilizing the S forms, at a qualitative level. Finally, the inclusion of the substrate-CA interactions in a flexible molecular model has allowed us to observe the different pattern of interactions that are related to different interaction energies, which seem to be crucial in the stereoselectivity behavior of the catalytic antibody.

Dependence of enzyme reaction mechanism on protonation state of titratable residues and QM level description: lactate dehydrogenase.

We have studied the dependence of the chemical reaction mechanism of L-lactate dehydrogenase (LDH) on the protonation state of titratable residues and on the level of the quantum mechanical (QM) description by means of hybrid quantum-mechanical/molecular-mechanical (QM/MM) methods; this methodology has allowed clarification of the timing of the hydride transfer and proton transfer components that hitherto had not been possible to state definitively.

Dynamic and electrostatic effects in enzymatic processes. An analysis of the nucleophilic substitution reaction in haloalkane dehalogenase.

We present an analysis of rare event trajectories for the nucleophilic displacement of a chloride anion of 1,2-dichloroethane by a carboxylate group in haloalkane dehalogenase from Xanthobacterautotrophicus (DhlA) and in aqueous solution. Differences in the transmission coefficient are rationalized on the basis of the electrostatic coupling between the chemical system and the environment. Detailed analysis of the reactive trajectories reveals that the evolution of the hydrogen bond interactions established between the substrate and the environment present significant differences in aqueous solution and in the enzyme. The structure of the enzymatic active site provides a more adequate interaction pattern for the reaction progress.

Theoretical insights in enzyme catalysis.

In this tutorial review we show how the methods and techniques of computational chemistry have been applied to the understanding of the physical basis of the rate enhancement of chemical reactions by enzymes. This is to answer the question: Why is the activation free energy in enzyme catalysed reactions smaller than the activation free energy observed in solution? Two important points of view are presented: Transition State (TS) theories and Michaelis Complex (MC) theories. After reviewing some of the most popular computational methods employed, we analyse two particular enzymatic reactions: the conversion of chorismate to prephenate catalysed by Bacillus subtilis chorismate mutase, and a methyl transfer from S-adenosylmethionine to catecholate catalysed by catechol O-methyltransferase. The results and conclusions obtained by different authors on these two systems, supporting either TS stabilisation or substrate preorganization, are presented and compared. Finally we try to give a unified view, where a preorganized enzyme active site, prepared to stabilise the TS, also favours those reactive conformations geometrically closer to the TS.

A comparative study of claisen and cope rearrangements catalyzed by chorismate mutase. An insight into enzymatic efficiency: transition state stabilization or substrate preorganization?

In this work we present a detailed analysis of the activation free energies and averaged interactions for the Claisen and Cope rearrangements of chorismate and carbachorismate catalyzed by Bacillus subtilischorismate mutase (BsCM) using quantum mechanics/molecular mechanics (QM/MM) simulation methods. In gas phase, both reactions are described as concerted processes, with the activation free energy for carbachorismate being about 10-15 kcal mol(-)(1) larger than for chorismate, at the AM1 and B3LYP/6-31G levels. Aqueous solution and BsCM active site environments reduce the free energy barriers for both reactions, due to the fact that in these media the two carboxylate groups can be approached more easily than in the gas phase. The enzyme specifically reduces the activation free energy of the Claisen rearrangement about 3 kcal mol(-)(1) more than that for the Cope reaction. This result is due to a larger transition state stabilization associated to the formation of a hydrogen bond between Arg90 and the ether oxygen. When this oxygen atom is changed by a methylene group, the interaction is lost and Arg90 moves inside the active site establishing stronger interactions with one of the carboxylate groups. This fact yields a more intense rearrangement of the substrate structure. Comparing two reactions in the same enzyme, we have been able to obtain conclusions about the relative magnitude of the substrate preorganization and transition state stabilization effects. Transition state stabilization seems to be the dominant effect in this case.

Structural and vibrational study of the tautomerism of histamine free-base in solution.

Infrared and Raman spectroscopy in H(2)O and D(2)O and quantum Density Functional calculations were used to determine the structure of histamine free-base in aqueous solution. A quantum mechanical study of the tautomeric equilibrium of histamine free-base in solution was performed at the 6-311G level. Electronic correlation energies were included by using the hybrid functional B3LYP. The solvent was simulated as a continuum characterized by a dielectric constant, and the quantum system (solute) was placed in an ellipsoidal cavity. Solute-solvent electrostatic interaction was calculated by means a multipolar moment expansion introduced in the Hamiltonian. Four relevant histamine conformations were optimized by allowing all the geometrical parameters to vary independently, which involved both the gauche-trans and the N3H-N1H tautomerisms. The calculated free energies predicted N3H-gauche as the most stable one of histamine free-base in solution. The order of stability is here completely altered with respect to previous results in gas phase, which presented the N1H-gauche conformer as the most stable structure. Our results also differ from previous Monte Carlo simulations, which obtained the N3H-trans conformer as the most stable in solution, although in this case, the histamine structures were kept frozen to the gas-phase geometry. Vibrational spectroscopy results support theoretical ones. Quadratic force fields for the four histamine conformers were achieved under the same calculation methodology. Previously, a general assignment of the infrared and Raman spectra of histamine free-base was proposed for solutions in both natural and heavy water. This allowed us to compare the experimental set of both wavenumbers and infrared intensities with the calculated ones. The lowest quadratic mean wavenumber deviation was obtained for the N3H-gauche conformer, in agreement with the free-energy calculations. Calculated infrared intensities were also compared to the experimental intensities, supporting this conformer as the relevant structure of histamine free-base in solution. It was then selected for a complete vibrational dynamics calculation, starting with a low-level scaling procedure to fit the set of calculated wavenumbers to the experimental values. The results were presented in terms of quadratic force constants, potential energy distribution, and normal modes.

Preorganization and reorganization as related factors in enzyme catalysis: the chorismate mutase case.

In this paper a deeper insight into the chorismate-to prephenate-rearrangement, catalyzed by Bacillus subtilis chorismate mutase, is provided by means of a combination of statistical quantum mechanics/molecular mechanics simulation methods and hybrid potential energy surface exploration techniques. The main aim of this work is to present an estimation of the preorganization and reorganization terms of the enzyme catalytic rate enhancement. To analyze the first of these, we have studied different conformational equilibria of chorismate in aqueous solution and in the enzyme active site. Our conclusion is that chorismate mutase preferentially binds the reactive conformer of the substrate--that presenting a structure similar to the transition state of the reaction to be catalyzed--with shorter distances between the carbon atoms to be bonded and more diaxial character. With respect to the reorganization effect, an energy decomposition analysis of the potential energies of the reactive reactant and of the reaction transition state in aqueous solution and in the enzyme shows that the enzyme structure is better adapted to the transition structure. This means not only a more negative electrostatic interaction energy with the transition state but also a low enzyme deformation contribution to the energy barrier. Our calculations reveal that the structure of the enzyme is responsible for stabilizing the transition state structure of the reaction, with concomitant selection of the reactive form of the reactants. This is, the same enzymatic pattern that stabilizes the transition structure also promotes those reactant structures closer to the transition structure (i.e., the reactive reactants). In fact, both reorganization and preorganization effects have to be considered as the two faces of the same coin, having a common origin in the effect of the enzyme structure on the energy surface of the substrate.