Binding free energy calculation with QM/MM hybrid methods for Abl-Kinase inhibitor

We report a Quantum mechanics/Molecular Mechanics–Poisson-Boltzmann/ Surface Area (QM/MM-PB/SA) method to calculate the binding free energy of c-Abl human tyrosine kinase by combining the QM and MM principles where the ligand is treated quantum mechanically and the rest of the receptor by classical molecular mechanics. To study the role of entropy and the flexibility of the protein ligand complex in a solvated environment, molecular dynamics calculations are performed using a hybrid QM/MM approach. This work shows that the results of the QM/MM approach are strongly correlated with the binding affinity. The QM/MM interaction energy in our reported study confirms the importance of electronic and polarization contributions, which are often neglected in classical MM-PB/SA calculations. Moreover, a comparison of semi-empirical methods like DFTB-SCC, PM3, MNDO, MNDO-PDDG, and PDDG-PM3 is also performed. The results of the study show that the implementation of a DFTB-SCC semi-empirical Hamiltonian that is derived from DFT gives better results than other methods. We have performed such studies using the AMBER molecular dynamic package for the first time. The calculated binding free energy is also in agreement with the experimentally determined binding affinity for c-Abl tyrosine kinase complex with Imatinib.     

Refined models of New Delhi metallo-beta-lactamase-1 with inhibitors: an QM/MM modeling study

New Delhi metallo-beta-lactamase 1 (NDM-1) has been identified as a potential target for the treatment of multi-drug resistance bacterial infections. We used molecular docking, normal MD, SIE, QM/MM MD simulations, QM/MM GBSA binding free energy, and QM/MM GBSA alanine-scanning mutagenesis techniques to investigate interactions of the NDM-1 with 11 inhibitors (Tigecycline, BAL30072, D-captopril, Penicillin G, Ampicillin, Carbenicillin, Cephalexin, Cefaclor, Nitrocefin, Meropenem, and Imipenem). From our normal MD and QM/MM simulations, the correlation coefficients between the predicted binding free energies and experimental values are .88 and .93, respectively. Then simulations, which combined QM/MM/GBSA and alanine-scanning mutagenesis techniques, were performed and our results show that two residues (Lys211 and His250) have the strongest impact on the binding affinities of the 11 NDM-1/inhibitors. Therefore, our approach theoretically suggests that the two residues (Lys211 and His250) are responsible for the selectivity of NDM-1 associated inhibitors.     

A QM/MM analysis of the conformations of crystalline sucrose moieties

Both ab initio quantum mechanics (QM) and molecular mechanics (MM) were used to produce a hybrid energy surface for sucrose that simultaneously provides low energies for conformations that are observed in crystal structures and high energies for most unobserved structures. HF/6-31G* QM energies were calculated for an analogue based on tetrahydropyran (THP) and tetrahydrofuran (THF). Remaining contributions to the potential energy of sucrose were calculated with MM. To do this, the MM surface for the analogue was subtracted from the MM surface for the disaccharide, and the QM surface for the analogue was added. Prediction of the distribution of observable geometries was enhanced by reducing the strength of the hydrogen bonding. Reduced hydrogen-bonding strength is probably useful because many crystalline sucrose moieties do not have intramolecular hydrogen bonds between the fructose and glucose residues. Therefore, hydrogen bonding does not play a large role in determining the molecular conformation. On the hybrid energy surface that was constructed with a dielectric constant of 3.5, the average potential energy of 23 sucrose moieties from crystal structures is 1.16 kcal/mol, and the population of observed structures drops off exponentially as the energy increases.     

Correlation between biological activity and binding energy in systems of integrin with cyclic RGD-containing binders: a QM/MM molecular dynamics study

We here report a combined quantum mechanical/molecular mechanical (QM/MM) molecular dynamics (MD) study on the binding interactions between the α(V)β(3) integrin and eight cyclic arginine-glycine-aspartate (RGD) containing peptides. The initial conformation of each peptide within the binding site of the integrin was determined by docking the ligand to the reactive site of the integrin crystal structure with the aid of docking software FRED. The subsequent QM/MM MD simulations of the complex structures show that these eight cyclic RGD-peptides have a generally similar interaction mode with the binding site of the integrin to the cyclo(RGDf-N[M]V) analog found in the crystal structure. Still, there are subtle differences in the interactions of peptide ligands with the integrin, which contribute to the different inhibition activities. The averaged QM/MM protein-ligand interaction energy (IE) is remarkably correlated to the biological activity of the ligand. The IE, as well as a three-variable model which is somewhat interpretable, thus can be used to predict the bioactivity of a new ligand quantitatively, at least within a family of analogs. The present study establishes a helpful protocol for advancing lead compounds to potent inhibitors.     

Intermolecular insights into allosteric inhibition of histone lysine-specific demethylase 1

BackgroundHistone lysine-specific demethylase 1 (LSD1) has become a potential anticancer target for the novel drug discovery. Recent reports have shown that SP2509 and its derivatives strongly inhibit LSD1 as allosteric inhibitors. However, the binding mechanism of these allosteric inhibitors in the allosteric site of LSD1 is not known yet.MethodsThe stability and binding mechanism of allosteric inhibitors in the binding site of LSD1 were evaluated by molecular docking, ligand-based pharmacophore, molecular dynamics (MD) simulations, molecular mechanics generalized born surface area (MM/GBSA) analysis, quantum mechanics/molecular mechanics (QM/MM) calculation and Hirshfeld surface analysis.ResultsThe conformational geometry and the intermolecular interactions of allosteric inhibitors showed high binding affinity towards allosteric site of LSD1 with the neighboring amino acids (Gly358, Cys360, Leu362, Asp375 and Glu379). Meanwhile, MD simulations and MM/GBSA analysis were performed on selected allosteric inhibitors in complex with LSD1 protein, which confirmed the high stability and binding affinity of these inhibitors in the allosteric site of LSD1.ConclusionThe simulation results revealed the crucial factors accounting for allosteric inhibitors of LSD1, including different protein–ligand interactions, the positions and conformations of key residues, and the ligands flexibilities. Meanwhile, a halogen bond interaction between chlorine atom of ligand and key residues Trp531 and His532 was recurrent in our analysis confirming its importance.General significanceOverall, our research analyzed in depth the binding modes of allosteric inhibitors with LSD1 and could provide useful information for the design of novel allosteric inhibitors.     

Recent developments in QM/MM methods towards open-boundary multi-scale simulations

Combined quantum mechanics/molecular mechanics (QM/MM) methods have been widely used in multi-scale modelling and simulations of physical, chemical and biological processes in complex environments. In this review, we provide an overview of the recently developed QM/MM algorithms, with emphasis on our works, towards the ultimate goal of establishing an open boundary between the QM and MM subsystems. The open boundary is characterised by on-the-fly exchanges of partial charges and atoms between the QM and MM subsystems, allowing us to focus on the small QM subsystem of primary interest in dynamics simulations. An open-boundary scheme has the promise to the utilisations of small QM subsystems, high-levels of QM theory and long simulation times, which can potentially lead to new insights.     

Computational analysis of aspartic protease plasmepsin II complexed with EH58 inhibitor: a QM/MM MD study

Plasmepsin (PM) II is one of four enzymes in the food vacuole of Plasmodium falciparum. It has become an attractive target for combating malaria through research regarding its importance in the P. falciparum metabolism and life cycle, making it the target of choice for structure-based drug design. This paper reports the results of hybrid quantum mechanics / molecular mechanics (QM/MM) molecular dynamics (MD) simulations employed to study the details of the interactions established between PM II and N-(3-{(2-benzo[1, 3]dioxol-5-yl-ethyl)[3-(1-methyl-3-oxo-1,3-dihydro-isoindol-2-yl) propionyl]-amino}-1-benzyl-2-(hydroxyl-propyl)-4-benzyloxy-3,5dimethoxy-benzamide (EH58), a well-known potent inhibitor for this enzyme. Electrostatic binding free energy and energy terms decomposition have been computed for PM II complexed with the EH58 inhibitor. The results reveal that there is a strong interaction between Asp34, Val78, Ser79, Tyr192 and Asp214 residues and the EH58 inhibitor. In addition, we have computed the potential of the mean force (PMF) profile in order to assign the protonation state of the two catalytic aspartates in PM II-EH58 complex. The results indicate that the protonation of Asp214 favors a stable active site structure, which is consistent with our electrostatic binding free energy calculation and with previous published works.     

QM/MM investigation of structure and spectroscopic properties of a vanadium-containing peroxidase

We present a comprehensive analysis of the most likely ground state configuration of the resting state of vanadium dependent chloroperoxidase (VCPO) based on quantum mechanics/molecular mechanics (QM/MM) evaluations of ground state properties, UV-vis spectra and NMR chemical shifts. Within the QM/MM framework, density functional theory (DFT) calculations are used to characterize the resting state of VCPO via time-dependent density functional theory (TD-DFT) calculations of electronic excitation energies and NMR chemical shifts. Comparison with available experimental data allows us to determine the most likely protonation state of VCPO, a state which results in a doubly protonated axial oxygen, a site largely stabilized by hydrogen bonds. We found that the bulk of the protein that is beyond the immediate layer surrounding the cofactor, has an important electrostatic effect on the absorption maximum. Through examination of frontier orbitals, we analyze the nature of two bound water molecules and the extent to which relevant residues in the active site influence the spectroscopy calculations.     

Exploring the RING-Catalyzed Ubiquitin Transfer Mechanism by MD and QM/MM Calculations

Ubiquitylation is a universal mechanism for controlling cellular functions. A large family of ubiquitin E3 ligases (E3) mediates Ubiquitin (Ub) modification. To facilitate Ub transfer, RING E3 ligases bind both the substrate and ubiquitin E2 conjugating enzyme (E2) linked to Ub via a thioester bond to form a catalytic complex. The mechanism of Ub transfer catalyzed by RING E3 remains elusive. By employing a combined computational approach including molecular modeling, molecular dynamics (MD) simulations, and quantum mechanics/molecular mechanics (QM/MM) calculations, we characterized this catalytic mechanism in detail. The three-dimensional model of dimeric RING E3 ligase RNF4 RING, E2 ligase UbcH5A, Ub and the substrate SUMO2 shows close contact between the substrate and Ub transfer catalytic center. Deprotonation of the substrate lysine by D117 on UbcH5A occurs with almost no energy barrier as calculated by MD and QM/MM calculations. Then, the side chain of the activated lysine gets close to the thioester bond via a conformation change. The Ub transfer pathway begins with a nucleophilic addition that forms an oxyanion intermediate of a 4.23 kcal/mol energy barrier followed by nucleophilic elimination, resulting in a Ub modified substrate by a 5.65 kcal/mol energy barrier. These results provide insight into the mechanism of RING-catalyzed Ub transfer guiding the discovery of Ub system inhibitors.     

Hypothesis of a proton switch in QM/MM modelling of interaction of dUMP analogues with thymidylate synthase

Quantum mechanical, molecular mechanics and molecular dynamics (MD) methods were used to investigate initial steps of 2′-deoxyuridine-5′-monophosphate (dUMP) methylation catalysed by the thymidylate synthase (TS) enzyme. The amino acid residues surrounding the active site within a 10 Å radius sphere were modelled with the combined quantum mechanical (B3LYP/LANL2DZ) and molecular mechanics ONIOM double-layer method. The results indicated the initial nucleophilic attack of Cys146 on dUMP to be concerted with formation of a hydrogen bond to the oxygen O4 of dUMP. Moreover, the proton in the vicinity of the O4 atom appears to act as a ‘proton switch’: if a proton is present near O4, it stabilises the S(Cys146)–C6(dUMP) sulphur–carbon bond, but if it is absent, the sulphur–carbon bond does not form. If the O4 oxygen is replaced by sulphur atom, the ‘switch effect’ does not occur. The suggested correlation between the strength of hydrogen bond involving O4 oxygen and the ability of dUMP to form bonds at C6 corresponds well to the crystal structures of TS complexes available in the Protein Data Bank. In the vast majority of crystal structures, the presence of the S(Cys146)–C6(dUMP) bond was coupled with the presence of hydrogen bond between the dUMP O4 atom and the conserved Asn177. The ‘proton switch’ hypothesis is supported also by the results of MD studies of TS binary complexes, suggesting that average distance separating S(Cys146) and C6(dUMP) becomes distinctly shorter in the presence of hydrogen bonding between Asn177 and O4.     

Harder,better, faster,stronger: Large-scale QM and QM/MM for predictive modeling in enzymes and proteins

Computational prediction of enzyme mechanism and protein function requires accurate physics-based models and suitable sampling. We discuss recent advances in large-scale quantum mechanical (QM) modeling of biochemical systems that have reduced the cost of high-accuracy models. Tradeoffs between sampling and accuracy have motivated modeling with molecular mechanics (MM) in a multiscale QM/MM or iterative approach. Limitations to both conventional density-functional theory and classical MM force fields remain for describing noncovalent interactions in comparison to experiment or wavefunction theory. Because predictions of enzyme action (i.e. electrostatics), free energy barriers, and mechanisms are sensitive to the protocol and embedding method in QM/MM, convergence tests and systematic methods for quantifying QM-level interactions are a needed, active area of development.     

Thermodynamics calculation of protein–ligand interactions by QM/MM polarizable charge parameters

The calculation of protein–ligand binding free energy (ΔG) is of great importance for virtual screening and drug design. Molecular dynamics (MD) simulation has been an attractive tool to investigate this scientific problem. However, the reliability of such approach is affected by many factors including electrostatic interaction calculation. Here, we present a practical protocol using quantum mechanics/molecular mechanics (QM/MM) calculations to generate polarizable QM protein charge (QMPC). The calculated QMPC of some atoms in binding pockets was obviously different from that calculated by AMBER ff03, which might significantly affect the calculated ΔG. To evaluate the effect, the MD simulations and MM/GBSA calculation with QMPC for 10 protein–ligand complexes, and the simulation results were then compared to those with the AMBER ff03 force field and experimental results. The correlation coefficient between the calculated ΔΔG using MM/GBSA under QMPC and the experimental data is .92, while that with AMBER ff03 force field is .47 for the complexes formed by streptavidin or its mutants and biotin. Moreover, the calculated ΔΔG with QMPC for the complexes formed by ERβ and five ligands is positively related to experimental result with correlation coefficient of .61, while that with AMBER ff03 charge is negatively related to experimental data with correlation coefficient of .42. The detailed analysis shows that the electrostatic polarization introduced by QMPC affects the electrostatic contribution to the binding affinity and thus, leads to better correlation with experimental data. Therefore, this approach should be useful to virtual screening and drug design.     

A QM/MM study of the complexes formed by aluminum and iron with serum transferrin at neutral and acidic pH

Serum transferrin (sTf) transports iron in serum and internalizes in cells via receptor mediated endocytosis. Additionally, sTf has been identified as the predominant aluminum carrier in serum. Some questions remain unclear about the exact mechanism for the metal release or whether the aluminum and iron show the same binding mode during the entire process. In the present work, simulation techniques at quantum and atomic levels have been employed in order to gain access into a molecular level understanding of the metal-bound sTf complex, and to describe the binding of Al(III) and Fe(III) ions to sTf. First, hybrid quantum mechanics/molecular mechanics (QM/MM) molecular dynamics (MD) simulations were carried out in order to analyze the dynamics of the aluminum-loaded complex, taking into account the different pH conditions in blood and into the cell. Moreover, the complexes formed by transferrin with Al(III) and Fe(III) were optimized with high level density functional theory (DFT)/MM methods. All these results indicate that the interaction mode of Al(III) and Fe(III) with sTf change upon different pH conditions, and that the coordination of Al(III) and Fe(III) is not equivalent during the metal intake, transport and release processes. Our results emphasize the importance of the pH on the metal binding and release mechanism and suggest that Al(III) can follow the iron pathway to get access into cells, although once there, it may show a different binding mode, leading to a different mechanism for its release.     

Chromophore Structure of Cyanobacterial Phytochrome Cph1 in the Pr State: Reconciling Structural and Spectroscopic Data by QM/MM Calculations

A quantum mechanics (QM)/molecular mechanics (MM) hybrid method was applied to the Pr state of the cyanobacterial phytochrome Cph1 to calculate the Raman spectra of the bound PCB cofactor. Two QM/MM models were derived from the atomic coordinates of the crystal structure. The models differed in the protonation site of His²⁶⁰ in the chromophore-binding pocket such that either the δ-nitrogen (M-HSD) or the ɛ-nitrogen (M-HSE) carried a hydrogen. The optimized structures of the two models display small differences specifically in the orientation of His²⁶⁰ with respect to the PCB cofactor and the hydrogen bond network at the cofactor-binding site. For both models, the calculated Raman spectra of the cofactor reveal a good overall agreement with the experimental resonance Raman (RR) spectra obtained from Cph1 in the crystalline state and in solution, including Cph1 adducts with isotopically labeled PCB. However, a distinctly better reproduction of important details in the experimental spectra is provided by the M-HSD model, which therefore may represent an improved structure of the cofactor site. Thus, QM/MM calculations of chromoproteins may allow for refining crystal structure models in the chromophore-binding pocket guided by the comparison with experimental RR spectra. Analysis of the calculated and experimental spectra also allowed us to identify and assign the modes that sensitively respond to chromophore-protein interactions. The most pronounced effect was noted for the stretching mode of the methine bridge A-B adjacent to the covalent attachment site of PCB. Due a distinct narrowing of the A-B methine bridge bond angle, this mode undergoes a large frequency upshift as compared with the spectrum obtained by QM calculations for the chromophore in vacuo. This protein-induced distortion of the PCB geometry is the main origin of a previous erroneous interpretation of the RR spectra based on QM calculations of the isolated cofactor.Abbreviations: Agp1, phytochrome from Agrobacterium tumefaciens; α-CPC, α-subunit of C-phycocyanin; BV, biliverdin IXα; B3LYP, three-parameter exchange functional according to Becke, Lee, Yang, and Parr; DFT, density functional theory; DrBphP, phytochrome from Deinococcus radiodurans; GAF, domain found in cGMP-specific phosphodiesterases; MM, molecular mechanics; MD, molecular dynamics; N-H ip, N-H in-plane bending; PCB, phycocyanobilin; PED, potential energy distribution; phyA, plant phytochrome; Pr, Pfr, red- and far-red absorbing parent states of phytochrome; PΦB, phytochromobilin; QM, quantum mechanics; RMSD, root mean-square deviation; RR, resonance Raman     

Application of a SCC-DFTB QM/MM approach to the investigation of the catalytic mechanism of fatty acid amide hydrolase

Self-consistent charge density functional tight binding (SCC-DFTB) is a promising method for hybrid quantum mechanics/molecular mechanics (QM/MM) simulations of enzyme-catalyzed reactions. The acylation reaction of fatty acid amide hydrolase (FAAH), a promising drug target, was investigated by applying a SCC-DFTB/CHARMM27 scheme. Calculated potential energy barriers resulted in reasonable agreement with experiments for oleamide (OA) and oleoylmethyl ester (OME) substrates, outperforming previous calculations performed at the PM3/CHARMM22 level. Furthermore, the experimental preference of FAAH in hydrolyzing OA faster than OME was adequately reproduced by calculations. All these findings indicate that the SCC-DFTB/CHARMM27 approach can be successfully applied to mechanistic investigations of FAAH-catalyzed reactions.     

QM/MM studies of enzymes

Combined quantum-mechanics/molecular-mechanics (QM/MM) methods are making rapid progress both methodologically and with respect to their range of application. Mechanistic studies on enzymes, including contributions towards the understanding of enzyme catalysis, continue to be a major target. They are joined by calculations of pK(a) values, redox properties, ground- and excited-state spectroscopic parameters, and excited-state dynamics. Methodological advances include improved QM/MM schemes, in particular new approaches for an effective treatment of the QM-MM electrostatic interactions, and the incorporation of new efficient and accurate QM methods in QM/MM schemes.     

The MoD-QM/MM methodology for structural refinement of photosystem II and other biological macromolecules

Photosynthesis Research - Quantum mechanics/molecular mechanics (QM/MM) hybrid methods are currently the most powerful computational tools for studies of structure/function relations and structural...     

Molecular recognition of aldehydes by aldehyde dehydrogenase and mechanism of nucleophile activation

Experimental structural data on the state of substrates bound to class 3 Aldehyde Dehydrogenases (ALDH3A1) is currently unknown. We have utilized molecular mechanics (MM) simulations, in conjunction with new force field parameters for aldehydes, to study the atomic details of benzaldehyde binding to ALDH3A1. Our results indicate that while the nucleophilic Cys243 must be in the neutral state to form what are commonly called near-attack conformers (NACs), these structures do not correlate with increased complexation energy calculated with the MM-Generalized Born Molecular Volume (GBMV) method. The negatively charged Cys243 (thiolate form) of ALDH3A1 also binds benzaldehyde in a stable conformation but in this complex the sulfur of Cys243 is oriented away from benzaldehyde yet yields the most favorable MM-GBMV complexation energy. The identity of the general base, Glu209 or Glu333, in ALDHs remains uncertain. The MM simulations reveal structural and possible functional roles for both Glu209 and Glu333. Structures from the MM simulations that would support either glutamate residue as the general base were further examined with Hybrid Quantum Mechanical (QM)/MM simulations. These simulations show that, with the PM3/OPLS potential, Glu209 must go through a step-wise mechanism to activate Cys243 through an intervening water molecule while Glu333 can go through a more favorable concerted mechanism for the same activation process.