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We evaluate the applicability of automated molecular docking techniques and quantum mechanical calculations to the construction of a set of structures of enzyme-substrate complexes for use in Comparative binding energy (COMBINE) analysis to obtain 3D structure-activity relationships. The data set studied consists of the complexes of eighteen substrates docked within the active site of haloalkane dehalogenase (DhlA) from Xanthobacter autotrophicus GJ10. The results of the COMBINE analysis are compared with previously reported data obtained for the same dataset from modelled complexes that were based on an experimentally determined structure of the DhlA-dichloroethane complex. The quality of fit and the internal predictive power of the two COMBINE models are comparable, but better external predictions are obtained with the new approach. Both models show a similar composition of the principal components. Small differences in the relative contributions that are assigned to important residues for explaining binding affinity differences can be directly linked to structural differences in the modelled enzyme-substrate complexes: (i) rotation of all substrates in the active site about their longitudinal axis, (ii) repositioning of the ring of epihalohydrines and the halogen substituents of 1,2-dihalopropanes, and (iii) altered conformation of the long-chain molecules (halobutanes and halohexanes). For external validation, both a novel substrate not included in the training series and two different mutant proteins were used. The results obtained can be useful in the future to guide the rational engineering of substrate specificity in DhlA and other related enzymes.

The suitability of three implicit solvent models for flexible protein-protein docking by procedures using molecular dynamics simulation is investigated. The three models are (i) the generalized Born (GB) model implemented in the program AMBER6.0; (ii) a distance-dependent dielectric (DDD) model; and (iii) a surface area-dependent model that we have parameterized and call the NPSA model. This is a distance-dependent dielectric model modified by neutralizing the ionizable side-chains and adding a surface area-dependent solvation term. These solvent models were first tested in molecular dynamics simulations at 300 K of the native structures of barnase, barstar, segment B1 of protein G, and three WW domains. These protein structures display a range of secondary structure contents and stabilities. Then, to investigate the performance of the implicit solvent models in protein docking, molecular dynamics simulations of barnase/barstar complexation, as well as PIN1 WW domain/peptide complexation, were conducted, starting from separated unbound structures. The simulations show that the NPSA model has significant advantages over the DDD and GB models in maintaining the native structures of the proteins and providing more accurate docked complexes.

The three-dimensional structures of proteins are being solved apace, yet this information is often underused in quantitative structure-activity relationship (QSAR) studies. Here, we describe and compare methods for exploiting protein structures to derive 3D-QSARs. These methods can facilitate molecular design and lead optimization and should increasingly become a standard component of the drug designer's repertoire.

Many signaling events require the binding of cytoplasmic proteins to cell membranes by recognition of specific charged lipids, such as phosphoinositol-phosphates. As a model for a protein-membrane binding site, we consider one charged phosphoinositol phosphate (PtdIns(3)P) embedded in a phosphatidylcholine bilayer. As the protein-membrane binding is driven by electrostatic interactions, continuum solvent models require an accurate representation of the electrostatic potential of the phosphoinositol phosphate-containing membrane. We computed and analyzed the electrostatic potentials of snapshots taken at regular intervals from molecular dynamics simulations of the bilayer. We observe considerable variation in the electrostatic potential of the bilayer both along a single simulation and between simulations performed with the GAFF or CHARMM c36 force fields. However, we find that the choice of GAFF or CHARMM c36 parameters has little effect on the electrostatic potential of a given configuration of the bilayer with a PtdIns(3)P embedded in it. From our results, we propose a remedian averaging method for calculating the electrostatic potential of a membrane system that is suitable for simulations of protein-membrane binding with a continuum solvent model.

Despite high similarity in sequence and catalytic properties, the l-lactate dehydrogenases (LDHs) in lactic acid bacteria (LAB) display differences in their regulation that may arise from their adaptation to different habitats. We combined experimental and computational approaches to investigate the effects of fructose 1,6-bisphosphate (FBP), phosphate (Pi), and ionic strength (NaCl concentration) on six LDHs from four LABs studied at pH 6 and pH 7. We found that 1) the extent of activation by FBP (Kact) differs. Lactobacillus plantarum LDH is not regulated by FBP, but the other LDHs are activated with increasing sensitivity in the following order: Enterococcus faecalis LDH2

This paper presents a quantum description of L -alanine in aqueous solution predicting the Raman and Raman optical activity (ROA) spectra. We have investigated theoretically the chiral sensitive spectroscopic method of ROA as a probe for secondary structural features. We have utilized the Becke 3LYP/6-31G* description to determine the geometries and Hessians [Theoretical and Computational Genome Research, Plenum Press, New York, 1997, p. 225; J. Phys. Chem. B 102 (1998) 5899; Chem. Phys. 225 (2000) 165], and have calculated the Becke 3LYP/6-31G* level electric dipole–electric dipole polarizability derivatives. The electric dipole–magnetic dipole polarizability derivatives and electric dipole–electric quadrupole polarizability derivatives further required to obtain the ROA spectra have also been calculated. The Raman scattering and ROA spectral simulations for the various structures are compared with the experimentally measured spectra and previously reported spectral simulations. The combination of Raman and ROA spectroscopy is shown to be as sensitive to secondary structural changes as its sister combination of vibrational absorption and vibrational circular dichroism and thus offers a complementary source of information when investigating the secondary structural and chiral features of biomolecules.

We describe how similarity indices may be applied to semiquantitatively compare the molecular interaction fields, such as electrostatic and hydrophobic potentials, of proteins. We then review ways in which this approach has been used to investigate protein interaction properties in diverse applications ranging from in-depth comparison of pairs of proteins to large-scale analysis of hundreds of modeled protein structures. © 2001 John Wiley & Sons, Inc. Int J Quant Chem 83: 122–127, 2001

Cytochrome P450s form a ubiquitous protein family with functions including the synthesis and degradation of many physiologically important compounds and the degradation of xenobiotics. Cytochrome P450cam from Pseudomonas putida has provided a paradigm for the structural understanding of cytochrome P450s. However, the mechanism by which camphor, the natural substrate of cytochrome P450cam, accesses the buried active site is a long-standing puzzle. While there is recent crystallographic and simulation evidence for opening of a substrate-access channel in cytochrome P450BM-3, for cytochrome P450cam, no such conformational changes have been observed either in different crystal structures or by standard molecular dynamics simulations. Here, a novel simulation method, random expulsion molecular dynamics, is presented, in which substrate-exit channels from the buried active site are found by imposing an artificial randomly oriented force on the substrate, in addition to the standard molecular dynamics force field. The random expulsion molecular dynamics method was tested in simulations of the substrate-bound structure of cytochrome P450BM-3, and then applied to complexes of cytochrome P450cam with different substrates and with product. Three pathways were identified, one of which corresponds to a channel proposed earlier on the basis of crystallographic and site-directed mutagenesis data. Exit via the water-filled channel, which was previously suggested to be a product exit channel, was not observed. The pathways obtained by the random expulsion molecular dynamics method match well with thermal motion pathways obtained by an analysis of crystallographic B-factors. In contrast to large backbone motions (up to 4 A) observed in cytochrome P450BM-3 for the exit of palmitoleic acid, passage of camphor through cytochrome P450cam only requires small backbone motions (less than 2.4 A) in conjunction with side-chain rotations. Concomitantly, in almost all the exit trajectories, salt-links that have been proposed to act as ionic tethers between secondary structure elements of the protein, are perturbed.

Three possible channels by which substrates and products can exit from the buried active site of cytochrome P450cam have been identified by means of random expulsion molecular dynamics simulations. In the investigation described here, we computed estimates of the relative probabilities of ligand passage through the three channels using steered molecular dynamics and adiabatic mapping. For comparison, the same techniques are also applied to investigate substrate egress from cytochrome P450-BM3. The channel in cytochrome P450cam, for which there is the most supporting evidence from experiments (which we name pathway 2a), is computed to be the most probable ligand exit channel. It has the smallest computed unbinding work and force. For this channel, the ligand exits between the F/G loop and the B' helix. Two mechanistically distinct, but energetically similar routes through this channel were observed, showing that multiple pathways along one channel are possible. The probability of ligand exit via the next most probable channel (pathway 3), which is located between the I helix and the F and G helices, is estimated to be less than 1/10 of the probability of exit along pathway 2a. Low-frequency modes of the protein extracted from an essential dynamics analysis of a 1 ns duration molecular dynamics simulation of cytochrome P450cam with camphor bound, support the opening of pathway 2a on a longer timescale. On longer timescales, it is therefore expected that this pathway becomes more dominant than estimated from the present computations.

The Poisson-Boltzmann method was used to compute the pKa values of titratable residues in a set of class C β-lactamases. In these calculations, the pKa of the phenolic group of residue Tyr150 is the only one to stand out with an abnormally low value of 8.3, more than one pKa unit lower than the measured reference value for tyrosine in solution. Other important residues of the catalytic pocket, such as the conserved Lys67, Lys315, His314, and Glu272 (hydrogen-bonded to the ammonium group of Lys315), display normal protonation states at neutral pH. pKa values were also computed in catalytically impaired β-lactamase mutants. Comparisons between the relative kcat values and the Tyr150 pKa value in these mutants revealed a striking correlation. In active enzymes, this pKa value is always lower than the solution reference value while it is close to normal in inactive enzymes. These results thus support the hypothesis that the phenolate form of Tyr150 is responsible for the activation of the nucleophilic serine. The possible roles of Lys67 and Lys315 during catalysis are also discussed. Proteins 2000;40:23–28. © 2000 Wiley-Liss, Inc.

Specific binding of transcription factors to DNA is crucial for gene regulation. We derived models for the binding specificity of transcription factors of the nuclear receptor family to DNA using two QSAR methods: a Free-Wilson-like method and COMparative BINding Energy (COMBINE) analysis. The analysis is based on experimental data for the interaction of 20 mutant glucocorticoid receptor DNA-binding domains with 16 different response elements in a total of 320 complexes (Zilliacus, J.; Wright, A. P.; Carlstedt-Duke, J.; Nilsson, L.; Gustafsson, J. A. Proteins 1995, 21, 57-67). The predictive abilities of the models obtained by the two methods are similar. The COMBINE analysis indicates that the most important properties for determining binding specificity for this dataset are the changes upon binding of the solvation free energies of the bases that are mutated in the dataset and the electrostatic interactions of the mutated nucleotides with certain charged amino acids. Further important descriptors are the changes of solvation free energy and surface area of the side chain of the mutated residue. It is clear, however, that there are additional features important for the specificity of binding that are not included in the models, such as differences in interfacial hydration of the complexes.

Cisproline(i−1)-aromatic(i) interactions have been detected in several short peptides in aqueous solution by analysis of anomalous chemical shifts measured by 1H-NMR spectroscopy. This formation of local structure is of importance for protein folding and binding properties. To obtain an atomic-detail characterisation of the cisproline(i−1)-aromatic(i) interaction in terms of structure, energetics and dynamics, we studied the minimal peptide unit, blocked Ala-cisPro-Tyr, using computational and experimental techniques. Structural database analyses and a systematic search revealed two groups of conformations displaying a cisproline(i−1)-aromatic(i) interaction. These conformations were taken as seeds for molecular dynamics simulations in explicit solvent at 278 K. During a total of 33.6 ns of simulation, all the `folded' conformations and some `unfolded' states were sampled. 1H- and 13C-chemical shifts and 3J-coupling constants were measured for the Ala-Pro-Tyr peptide. Excellent agreement was found between all the measured and computed NMR properties, showing the good quality of the force field. We find that under the experimental and simulation conditions, the Ala-cisPro-Tyr peptide is folded 90% of the time and displays two types of folded conformation which we denote `a' and `b'. The type a conformations are twice as populated as the type b conformations. The former have the tyrosine ring interacting with the alanine α proton and are enthalpically stabilised. The latter have the aromatic ring interacting with the proline side chain and are entropically stabilised. The combined and complementary use of computational and experimental techniques permitted derivation of a detailed scenario of the `folding' of this peptide.

Protein electrostatics plays a key role in ligand binding and protein–protein interactions. Therefore, similarities or dissimilarities in electrostatic potentials can be used as indicators of similarities or dissimilarities in protein function. We here describe a method to compare the electrostatic properties within protein families objectively and quantitatively. Three-dimensional structures are built from database sequences by comparative modeling. Molecular potentials are then computed for these with a continuum solvation model by finite difference solution of the Poisson-Boltzmann equation or analytically as a multipole expansion that permits rapid comparison of very large datasets. This approach is applied to 104 members of the Pleckstrin homology (PH) domain family. The deviation of the potentials of the homology models from those of the corresponding experimental structures is comparable to the variation of the potential in an ensemble of structures from nuclear magnetic resonance data or between snapshots from a molecular dynamics simulation. For this dataset, the results for analysis of the full electrostatic potential and the analysis using only monopole and dipole terms are very similar. The electrostatic properties of the PH domains are generally conserved despite the extreme sequence divergence in this family. Notable exceptions from this conservation are seen for PH domains linked to a Dbl homology (DH) domain and in proteins with internal PH domain repeats. Proteins 1999;37:379–387. ©1999 Wiley-Liss, Inc.

Electrostatic interactions play a key role in many aspects of protein engineering. Consequently, much effort has been put into the design of software for calculating electrostatic fields around macromolecules. We show that optimization of hydrogen bonding networks can improve both the results of pK(a) calculations and the results of electrostatic calculations performed by commonly used programs such as DelPhi. Further optimization can often be achieved by flipping the side chains of asparagine, histidine and glutamine around their chi2, chi2 and chi3 torsion angles, respectively, when this improves the local hydrogen bonding network. These optimizations are applied to some well characterized proteins: BPTI, hen egg white lysozyme and superoxide dismutase. A search for flipped residues in the PDB revealed that significant improvements in electrostatic calculations in or near the active site of enzymes can be expected for about one quarter of all enzymes in the PDB.

When two proteins diffuse together to form a bound complex, an intermediate is formed at the end-point of diffusional association which is called the encounter complex. Its characteristics are important in determining association rates, yet its structure cannot be directly observed experimentally. Here, we address the problem of how to construct the ensemble of three-dimensional structures which constitute the protein–protein diffusional encounter complex using available experimental data describing the dependence of protein association rates on mutation and on solvent ionic strength and viscosity. The magnitude of the association rates is fitted well using a variety of definitions of encounter complexes in which the two proteins are located at up to about 17 A root-mean-squared distance from their relative arrangement in the bound complex. Analysis of the ionic strength dependence of bimolecular association rates shows that this is determined to a greater extent by the (protein charge) – (salt ion) separation distance than by the protein–protein charge separation distance. Consequently, ionic strength dependence of association rates provides little information about the geometry of the encounter complex. On the other hand, experimental data on electrostatic rate enhancement, mutation and viscosity dependence suggest a model of the encounter complex in which the two proteins form a subset of the contacts present in the bound complex and are significantly desolvated. Copyright © 1999 John Wiley & Sons, Ltd.

Heparin−protein interactions play an important role in many steps of the immune system. Here, we evaluated the search capabilities of three widely used programsGRID, DOCK, and AutoDockfor heparin binding sites. Because of the weak surface complementarity and the high charge density of the sulfated sugar chain, the docking of heparin to its protein partners presents a challenging task for computational docking. Our protocols were tested on antithrombin and acidic and basic fibroblast growth factor, the only three proteins for which structures of their complexes with heparin are available. With all three programs, the heparin binding site for these test cases was determined correctly. We then used these protocols to predict the heparin binding site on Interleukin-8, a chemokine with a central role in the human immune response. The results indicate that His18, Lys20, Arg60, Lys64, and Arg68 in interleukin-8 bind to heparin.

The structures and relative energies for L-alanyl-L-alanine (LALA) in the presence of explicit water molecules have been determined by using the density functional theory (DFT) Becke3–Lee–Yang–Parr functional and the 6-31G* basis set (B3LYP/6-31G*). In aqueous solution the dominant state of LALA is the zwitterionic form, while its neutral form is dominant in vacuo. Attempts to locate or determine a gas-phase zwitterionic species failed. That is, on the B3LYP/6-31G* potential energy surface, there is no barrier to proton transfer from the positively charged ammonium group to the negatively charged carboxylate group, or from the ammonium group to the adjacent carbonyl oxygen and from the amide nitrogen to the carboxylate group. To stabilize the zwitterion, we modelled the system by adding explicit water molecules and by placing the zwitterion within a sphere surrounded by a medium with a dielectric constant of 78.5, that is, within the Onsager continuum model, where the recommended cavity radius is obtained from a solute volume calculation. The zwitterionic species is only stable in the presence of water at the B3LYP/6-31G* level. This makes it imperative to include water molecules to model the zwitterionic species of LALA, peptides and amino acids at the B3LYP/6-31G* level. Finally, the zwitterionic structure stabilized by explicit water molecules has also been modelled within the Onsager theory. Here the Onsager model represents the effects due to the bulk water and the explicit water molecules stand for the effect due to direct H-bonding between the zwitterion and the solvent, that is, the first solvation shell. We used molecular dynamics simulations utilizing the CHARMm force field to produce structural input for the subsequent quantum-mechanical simulations. The structures determined using various methods to model the LALA zwitterionic form in aqueous solution were compared. We were able to find additional stable structures for LALA by adding water molecules and optimizing it which could not be obtained by using the Onsager theory. This shows that one must be careful when using continuum models to study peptides and proteins or other methods which do not take into account the explicit interactions between the solute and the first solvent shell.

Hydration of protein cavities influences protein stability, dynamics, and function. Protein active sites usually contain water molecules that, upon ligand binding, are either displaced into bulk solvent or retained to mediate protein-ligand interactions. The contribution of water molecules to ligand binding must be accounted for to compute accurate values of binding affinities. This requires estimation of the extent of hydration of the binding site. However, it is often difficult to identify the water molecules involved in the binding process when ligands bind on the surface of a protein. Cytochrome P450cam is, therefore, an ideal model system because its substrate binds in a buried active site, displacing partially disordered solvent, and the protein is well characterized experimentally. We calculated the free energy differences for having five to eight water molecules in the active site cavity of the unliganded enzyme from molecular dynamics simulations by thermodynamic integration employing a three-stage perturbation scheme. The computed free energy differences between the hydration states are small (within 12 kJ mol-1) but distinct. Consistent with the crystallographic determination and studies employing hydrostatic pressure, we calculated that, although ten water molecules could in principle occupy the volume of the active site, occupation by five to six water molecules is thermodynamically most favorable.

NMR studies of the YTGP tetrapeptide in aqueous solution show a large structural shift on the glycine peptide proton, indicating that the peptide adopts structures in which the aromatic ring lies close to this proton in an aromatic−(i+2) amine interaction (Kemmink and Creighton, J. Mol. Biol. 1993, 234, 861). Here, molecular dynamics simulations are used to obtain details at the atomic level of the structural properties of this system. To maximize the volume of conformational space searched, 13 separate trajectories of 300 ps were calculated at 300 K, with starting structures chosen from a conformational search, protein crystal structures, and modeling. Analysis shows that together the trajectories sample all the important regions of conformational space. Structures from the trajectories were clustered into conformational states, defined as regions in coordinate space around maxima in the probability distribution. Nine conformational states with significant populations were identified in which the glycine...

Triose phosphate isomerase (TIM) is a diffusion-controlled enzyme whose rate is limited by the diffusional encounter of the negatively charged substrate glyceraldehyde 3-phosphate (GAP) with the homodimeric enzyme's active sites. Translational and orientational steering of GAP toward the active sites by the electrostatic field of chicken muscle TIM has been observed in previous Brownian dynamics (BD) simulations. Here we report simulations of the association of GAP with TIMs from four species with net charges at pH 7 varying from -12e to +12e. Computed second-order rate constants are in good agreement with experimental data. The BD simulations and computation of average Boltzmann factors of substrate–protein interaction energies show that the protein electrostatic potential enhances the rates for all the enzymes. There is much less variation in the computed rates than might be expected on the basis of the net charges. Comparison of the electrostatic potentials by means of similarity indices shows that this is due to conservation of the local electrostatic potentials around the active sites which are the primary determinants of electrostatic steering of the substrate. Proteins 31:406–416, 1998. © 1998 Wiley-Liss, Inc.

The ability to reliably compute accurate protein−ligand binding affinities is crucial to understanding protein−ligand recognition and to structure-based drug design. A ligand's binding affinity is specified by its absolute binding free energy, ΔGbind, the free energy difference between the bound and unbound states. To compute accurate free energy differences by free energy perturbation (FEP), “alchemical” rather than physical processes are usually simulated by molecular dynamics simulations so as to minimize the perturbation to the system. Here, we report a novel “alchemistic” application of the FEP methodology involving a large perturbation. By mutating a ligand with 11 non-hydrogen atoms into six water molecules in the binding site of a protein, we computed a ΔGbind within 3 kJ/mol of the experimental value. This is the first successful example of the computation of ΔGbind for a protein:ligand pair with full treatment of the solvent degrees of freedom.

Although auxins were the first type of plant hormone to be identified, little is known about the molecular mechanism of this important class of plant hormones. We present a classification of a set of about 50 compounds with measured auxin activities, according to their interaction properties. Four classes of compounds were defined: strongly active, weakly active with weak antiauxin behaviour, inactive and inhibitory. All compounds were modeled in two low-energy conformations, 'P' and 'T', so as to obtain the best match to the 'planar' and 'tilted' conformations, respectively, of indole 3-acetic acid. Each set of conformers was superimposed separately using several different alignment schemes. Molecular interaction energy fields were computed for each molecule with five different chemical probes and then compared by computing similarity indices. Similarity analysis showed that the classes are on average distinguishable, with better differentiation achieved for the T conformers than the P conformers. This indicates that the T conformation might be the active one. Further, a screening was developed which could distinguish compounds with auxin activity from inactive compounds and most antiauxins using the T conformers. The classifications rationalize ambiguities in activity data found in the literature and should be of value in predicting the activities of new plant growth substances and herbicides.

The threat of a catastrophic outbreak of influenza is ever present. Vaccines are only partially effective and the two compounds, amantidine and rimantidine, used clinically against influenza A cause side-effects and rapid viral resistance. Recent advances bring hope that specific and potent drugs against influenza may soon be available in the clinic. These compounds were designed to inhibit influenza neuraminidase (NA), one of the viral coat glycoproteins, using the crystal structure of NA which was first published in 1983. In this review, the application of structure-based drug design approaches to the design of anti-influenza agents targeted at NA and haemagglutinin (HA), the other viral surface glycoprotein, is discussed.

Cytochrome P450 enzymes are hemoprotein monooxygenases that catalyse the oxidation of a variety of compounds. The mechanism by which camphor, the natural substrate of Cytochrome P450cam (P450cam), accesses the active site is a long-standing puzzle, although putative access channels have been proposed. A thermal motion pathway (TMP) analysis was performed on the crystal structure of P450cam with camphor bound. Hereby, three distinct thermal motion pathway families (TMPFs) were found. Possible substrate access channels obtained by this analysis based on B-factors are compared with exit channels explored by molecular dynamics simulations (MDS) by imposing an artificial expulsion force on the substrate in addition to the standard MD force field. Two out of three TMPFs are supported by results obtained with the random expulsion MDS method. However, the pathway found by the TMP method to have the highest average B-factor could not be observed by MDS. The pathway proposed from crystallographic data, which is a small opening above the active site located near residues 185, 87 and 395 corresponds to the TMPF with the second highest average B-factor.

Seven docking predictions were made with the LIGIN program. In six cases the location of the binding pocket was identified correctly by systematically docking everywhere within the protein structure. In two cases the ligand was docked to within 1.8 A RMSD of the experimentally determined struc- ture. LIGIN has not been optimized to deal with highly flexible ligands that dock at the surface of proteins. Consequently, in three cases the exposed part of the ligand was docked poorly, although the buried parts were docked well, and made similar atomic contacts with the protein as in the experimentally deter- mined structure. Proteins, Suppl. 1:210-214

Pyruvate kinase (PYK) is a critical allosterically regulated enzyme that links glycolysis, the primary energy metabolism, to cellular metabolism. Lactic acid bacteria rely almost exclusively on glycolysis for their energy production under anaerobic conditions, which reinforces the key role of PYK in their metabolism. These organisms are closely related, but have adapted to a huge variety of native environments. They include food-fermenting organisms, important symbionts in the human gut, and antibiotic-resistant pathogens. In contrast to the rather conserved inhibition of PYK by inorganic phosphate, the activation of PYK shows high variability in the type of activating compound between different lactic acid bacteria. System-wide comparative studies of the metabolism of lactic acid bacteria are required to understand the reasons for the diversity of these closely related microorganisms. These require knowledge of the identities of the enzyme modifiers. Here, we predict potential allosteric activators of PYKs from three lactic acid bacteria which are adapted to different native environments. We used protein structure-based molecular modeling and enzyme kinetic modeling to predict and validate potential activators of PYK. Specifically, we compared the electrostatic potential and the binding of phosphate moieties at the allosteric binding sites, and predicted potential allosteric activators by docking. We then made a kinetic model of Lactococcus lactis PYK to relate the activator predictions to the intracellular sugar-phosphate conditions in lactic acid bacteria. This strategy enabled us to predict fructose 1,6-bisphosphate as the sole activator of the Enterococcus faecalis PYK, and to predict that the PYKs from Streptococcus pyogenes and Lactobacillus plantarum show weaker specificity for their allosteric activators, while still having fructose 1,6-bisphosphate play the main activator role in vivo. These differences in the specificity of allosteric activation may reflect adaptation to different environments with different concentrations of activating compounds. The combined computational approach employed can readily be applied to other enzymes., Author Summary Some lactic acid bacteria are antibiotic resistant pathogens causing severe diseases whereas others are healthy probiotics used in the food industry. What makes an LAB a friend or a foe and how do they adapt to survive in such different environments? Here, we addressed this problem by focusing on the enzyme pyruvate kinase, which plays a central role in the metabolism of lactic acid bacteria. This enzyme needs to react quickly to changes in the environment and, therefore, its activity is strictly regulated. In this study, we used computational techniques to predict the cellular substances, called allosteric activators that are responsible for the quick and effective activation of pyruvate kinase. We modeled the three dimensional structures of pyruvate kinases from different bacteria and computed interactions with possible activators. We simulated the dynamic behavior of the pyruvate kinase activity and, considering the cellular concentrations of metabolites in the different organisms, predicted the activators. We found that different lactic acid bacteria have different preferences for activators and that the level of activator specificity can be related to the environment in which the bacteria live.

We present TRAPP (TRAnsient Pockets in Proteins), a new automated software platform for tracking, analysis, and visualization of binding pocket variations along a protein motion trajectory or within an ensemble of protein structures that may encompass conformational changes ranging from local side chain fluctuations to global backbone motions. TRAPP performs accurate grid-based calculations of the shape and physicochemical characteristics of a binding pocket for each structure and detects the conserved and transient regions of the pocket in an ensemble of protein conformations. It also provides tools for tracing the opening of a particular subpocket and residues that contribute to the binding site. TRAPP thus enables an assessment of the druggability of a disease-related target protein taking its flexibility into account.

High macromolecular concentrations are a distinguishing feature of living organisms. Understanding how the high concentration of solutes affects the dynamic properties of biological macromolecules is fundamental for the comprehension of biological processes in living systems. We first describe the development of a Brownian dynamics simulation methodology to investigate the dynamic and structural properties of protein solutions using atomic-detail protein structures. We then discuss insights obtained from applying this approach to simulation of solutions of a range of types of proteins.

Molecular surfaces are widely used for characterizing molecules and displaying and quantifying their interaction properties. Here we consider molecular surfaces defined as isocontours of a function (a sum of exponential functions centered on each atom) that approximately represents electron density. The smoothness is advantageous for surface mapping of molecular properties (e.g., electrostatic potential). By varying parameters, these surfaces can be constructed to represent the van der Waals or solvent-accessible surface of a molecular with any accuracy. We describe numerical algorithms to operate on the analytically defined surfaces. Two applications are considered: (1) We define and locate extremal points of molecular properties on the surfaces. The extremal points provide a compact representation of a property on a surface, obviating the necessity to compute values of the property on an array of surface points as is usually done; (2) a molecular surface patch or interface is projected onto a flat surface (by introducing curvilinear coordinates) with approximate conservation of area for analysis purposes. Applications to studies of protein-protein interactions are described.

Interfacial activation of Rhizomucor miehei lipase is accompanied by a hinge-type motion of a single helix (residues 83–94) that acts as a lid over the active site. Activation of the enzyme involves the displacement of the lid to expose the active site, suggesting that the dynamics of the lid could be of mechanistic and kinetic importance. To investigate possible activation pathways and to elucidate the effect of a hydrophobic environment (as would be provided by a lipid membrane) on the lid opening, we have applied molecular dynamics and Brownian dynamics techniques. Our results indicate that the lipase activation is enhanced in a hydrophobic environment. In nonpolar low-dielectric surroundings, the lid opens in approximately 100 ns in the BD simulations. In polar high-dielectric (aqueous) surroundings, the lid does not always open up in simulations of up to 900 ns duration, but it does exhibit some gating motion, suggesting that the enzyme molecule may exist in a partially active form before the catalytic reaction. The activation is controlled by the charged residues ARG86 and ASP91. In the inactive conformation, ASP91 experiences repulsive forces and pushes the lid toward the open conformation. Upon activation ARG86 approaches ASP61, and in the active conformation, these residues form a salt bridge that stabilizes the open conformation.

A method is described to dock a ligand into a binding site in a protein on the basis of the complementarity of the intermolecular atomic contacts. Docking is performed by maximization of a complementarity function that is dependent on atomic contact surface area and the chemical properties of the contacting atoms. The generality and simplicity of the complementarity function ensure that a wide range of chemical structures can be handled. The ligand and the protein are treated as rigid bodies, but displacement of a small number of residues lining the ligand binding site can be taken into account. The method can assist in the design of improved ligands by indicating what changes in complementarity may occur as a result of the substitution of an atom in the ligand. The capabilities of the method are demonstrated by application to 14 protein-ligand complexes of known crystal structure.

In order to study protein−protein and protein−DNA association, the electrostatic forces and interaction free energies for two macromolecules at different mutual orientations and separations need to be evaluated. Realistic systems typically consist of thousands of atomic charges in an environment with a nonuniform dielectric permittivity and a solvent of nonzero ionic strength. Consequently, accurate evaluations of electrostatic forces and energies for such systems are only computationally feasible for a limited number of macromolecule positions. Here, we show that, by representing each molecule by a small number of effective charges in a uniform dielectric, intermolecular electrostatic interactions can be calculated simply and with high accuracy. The effective charges are derived by fitting them to reproduce the molecular electrostatic potential calculated by numerical solution of the finite-difference linearized Poisson−Boltzmann equation. The derived charges are expected to be useful in applications suc...

The pH-dependent characteristics of a protein are determined by the pKas of its titratable residues. Continuum electrostatic approaches provide a fast means of calculating the pKas of the titratable residues in proteins immersed in aqueous ionic solution. Here, we show how optimization of the parameters used in continuum electrostatic calculations can lead to significant improvements in the accuracy of pKa predictions. Dependence on the protein dielectric constant is studied, and two classes of ionizable sites are identified: (1) a large number of mostly solvent exposed residues for which the best pKa is calculated if the protein dielectric constant is set close to that of the aqueous solvent; and (2) a small number of mostly buried residues for which the best pKa is calculated with a lower site-specific protein dielectric constant. These two classes of ionizable sites can be distinguished using a criterion based on desolvation energy. A priori determination of the optimum protein dielectric constant for...

A comparative study of the enantiomeric substrate [(1R)-camphor- and (1S)-camphor)-bound cytochrome P-450cam concerns the spin-state equilibrium, substrate dissociation, the thermal unfolding of the protein structure, and the subconformer equilibria observed in the infrared spectra of the carbon monoxide (CO) complex of cytochrome P-450cam. The behavior of the different conformational equilibria in dependence on temperature, pressure, pH-value, cosolvent, and cation binding led us to suggest that (1S)-camphor is more loosely and less optimally bound in the heme pocket, which facilitates the access of solvent molecules into the heme-iron environment. The spin reaction volume difference measured using the high pressure technique is smaller by 16 +/- 9 cm3/mol for (1S)-camphor-bound P-450cam compared to the (1R)-camphor-bound P-450cam, which might indicate a higher water content in the protein and in the heme environment in the (1S)-camphor complex. The half-transition temperature of the thermal unfolding of 53.8 degrees C for the (1S)-camphor-bound oxidized cytochrome P-450cam is one degree lower than the value for the (1R)-camphor-bound protein (54.8 degrees C). In the reduced, CO-bound form of cytochrome P-450cam at 290 K the (1S)-camphor complex reveals another CO stretch vibration population distribution with slightly higher frequencies [1940.2 cm-1 (major band) and 1946.3 cm-1 (minor band)] compared to the (1R)-camphor complex [1939.7 cm-1 (major band) and 1930 cm-1 (minor band)]. A loosening of the contact between the iron-bound CO ligand and amino acids of the I-helix, probably induced by compensating effects of the increased water content, is suggested. Assuming the carbon monoxide complex as a model for the dioxygen complex, the more loosened binding of (1S)-camphor, therefore the increased water accessibility, and the weaker contact of the iron ligand to the I-helix might explain the higher amount of uncoupling of the cytochrome P-450 reaction cycle compared to that when (1R)-camphor is used as substrate.

The mammalian cytochrome P450 (CYP) enzymes play important roles in drug metabolism, steroid biosynthesis, and xenobiotic degradation. The active site of CYPs is buried in the protein and thus the ligands have to enter and exit the active site via ligand tunnels. Conformational changes of flexible parts of the protein usually accompany the entrance and exit of ligands. Comparison of the crystal structures of mammalian CYPs in closed, open, and partially open states reveals that the greatest conformational diversity associated with ligand tunnel opening is in the regions of the B-C and F-G loops. Some CYPs have been observed to adopt different open and closed conformations when bound to different ligands, suggesting that the ligand entrance and exit routes might differ according to the ligand properties. Mammalian CYPs are mostly membrane-bound enzymes, making them difficult to characterize structurally and dynamically. A range of molecular dynamics simulation techniques has been applied to investigate the dynamics and the ligand tunnels of these proteins both in the aqueous environment, and more recently, in lipid bilayers. These simulations not only reveal multiple tunnels through which ligands can pass but also show that different tunnels are preferred by different ligands and that the lipid bilayer can influence the protein dynamics and tunnel opening. The results indicate that not only the active site but also the ligand tunnels can contribute to the different substrate specificity profiles of the mammalian CYPs.

Enzymes are targets for structure-based redesign and drug design. One potentially important design strategy is to create molecules--enzymes and ligands--with desired diffusional encounter properties. Rates of diffusive bimolecular encounter can be calculated by Brownian dynamics simulation. This methodology and its application to study the factors influencing the rates of diffusion-influenced enzymes are described here.

A new computational method for deducing quantitative structure-activity relationships (QSARs) using structural data from ligand-macromolecule complexes is presented. First, the ligand-macromolecule interaction energy is computed for a set of ligands using molecular mechanics calculations. Then, by selecting and scaling components of the ligand-macromolecule interaction energy that show good predictive ability, a regression equation is obtained in which activity is correlated with the interaction energies of parts of the ligands and key regions of the macromolecule. Application to the interaction of the human synovial fluid phospholipase A2 with 26 inhibitors indicates that the derived QSAR has good predictive ability and provides insight into the mechanism of enzyme inhibition. The method, which we term comparative binding energy (COMBINE) analysis, is expected to be applicable to ligand-receptor interactions in a range of contexts including rational drug design, host-guest systems, and protein engineering.

High macromolecular concentrations are a distinguishing feature of living organisms. Understanding how the high concentration of solutes affects the dynamic properties of biological macromolecules is fundamental for the comprehension of biological processes in living systems. In this paper, we describe the implementation of mean field models of translational and rotational hydrodynamic interactions into an atomically detailed many-protein brownian dynamics simulation method. Concentrated solutions (30-40% volume fraction) of myoglobin, hemoglobin A, and sickle cell hemoglobin S were simulated, and static structure factors, oligomer formation, and translational and rotational self-diffusion coefficients were computed. Good agreement of computed properties with available experimental data was obtained. The results show the importance of both solvent mediated interactions and weak protein-protein interactions for accurately describing the dynamics and the association properties of concentrated protein solutions. Specifically, they show a qualitative difference in the translational and rotational dynamics of the systems studied. Although the translational diffusion coefficient is controlled by macromolecular shape and hydrodynamic interactions, the rotational diffusion coefficient is affected by macromolecular shape, direct intermolecular interactions, and both translational and rotational hydrodynamic interactions.

Protein-nanoparticle associations have important applications in nanoscience and nanotechnology such as targeted drug delivery and theranostics. However, the mechanisms by which proteins recognize nanoparticles and the determinants of specificity are still poorly understood at the microscopic level. Gold is a promising material in nanoparticles for nanobiotechnology applications because of the ease of its functionalization and its tunable optical properties. Ubiquitin is a small, cysteine-free protein (ubiquitous in eukaryotes) whose binding to gold nanoparticles has been characterized recently by nuclear magnetic resonance (NMR). To reveal the molecular basis of these protein-nanoparticle interactions, we performed simulations at multiple levels (ab initio quantum mechanics, classical molecular dynamics and Brownian dynamics) and compared the results with experimental data (circular dichroism and NMR). The results provide a model of the ensemble of structures constituting the ubiquitin-gold surface complex, and insights into the driving forces for the binding of ubiquitin to gold nanoparticles, the role of nanoparticle surfactants (citrate) in the association process, and the origin of the perturbations in the NMR chemical shifts.

Rab GTPases constitute the largest subfamily of the Ras protein superfamily. Rab proteins regulate organelle biogenesis and transport, and display distinct binding preferences for effector and activator proteins, many of which have not been elucidated yet. The underlying molecular recognition motifs, binding partner preferences and selectivities are not well understood.Comparative analysis of the amino acid sequences and the three-dimensional electrostatic and hydrophobic molecular interaction fields of 62 human Rab proteins revealed a wide range of binding properties with large differences between some Rab proteins. This analysis assists the functional annotation of Rab proteins 12, 14, 26, 37 and 41 and provided an explanation for the shared function of Rab3 and 27. Rab7a and 7b have very different electrostatic potentials, indicating that they may bind to different effector proteins and thus, exert different functions. The subfamily V Rab GTPases which are associated with endosome differ subtly in the interaction properties of their switch regions, and this may explain exchange factor specificity and exchange kinetics.We have analysed conservation of sequence and of molecular interaction fields to cluster and annotate the human Rab proteins. The analysis of three dimensional molecular interaction fields provides detailed insight that is not available from a sequence-based approach alone. Based on our results, we predict novel functions for some Rab proteins and provide insights into their divergent functions and the determinants of their binding partner selectivity.

An important step in the simulation of a membrane protein in a phospholipid bilayer is the correct immersion of the protein in the bilayer. Crystal structures are determined without the bilayer. Particularly for proteins with monotopic domains, it can be unclear how deeply and in which orientation the protein is being inserted in the membrane. We have previously developed a procedure combining coarse-grain (CG) with all-atom (AA) molecular dynamics (MD) simulations to insert and simulate a cytochrome P450 (CYP) possessing an N-terminal transmembrane helix connected by a flexible linker region to a globular domain that dips into the membrane. The CG simulations provide a computationally efficient means to explore different orientations and conformations of the CYP in the membrane. Converged configurations obtained in the CG simulations are then refined in AA simulations. Here, we tested different variants of the MARTINI CG model, differing in the water model, the treatment of long-range non-bonded interactions, and the implementation (GROMACS 4.5.5 vs 5.0.4), for this purpose. We examined the behavior of the models for simulating a 1-palmitoyl-2-oleoyl-sn-glycero-3-phosphocholine (POPC) bilayer in water and for the immersion of CYP3A4 in a POPC bilayer, and compared the CG-MD results with the previously reported experimental and simulation results. We also tested the methodology on a set of four other CYPs. Finally, we propose an optimized protocol for modeling such protein-membrane systems that provides the most plausible configurations and is computationally efficient; this incorporates the standard non-polar water model and the GROMACS 5.0.4 implementation with a reaction field treatment of long-range interactions.

Hormones of the hematopoietin class mediate signal transduction by binding to specific transmembrane recep­ tors. Structural data show that the human growth hormone (hGH) forms a complex with a homodimeric recep­ tor and that hGH is a member of a class of hematopoietins possessing an antiparallel 4-a-helix bundle fold. Mutagenesis experiments suggest that electrostatic interactions may have an important influence on hormone­ receptor recognition. In order to examine the specificity of hormone-receptor complexation, an analysis was made of the electrostatic potentials of hGH, interleukin-2 (IL-2), interleukin-4 (IL-4), granulocyte colony-stimulating factor (G-CSF), granulocyte-macrophage colony-stimulating factor (GM-CSF), and the hGH and IL-4 receptors. The binding surfaces of hGH and its receptor, and of IL-4 and its receptor, show complementary electrostatic potentials. The potentials of the hGH and its receptor display approximately 2-fold rotational symmetry because the receptor subunits are identical. In contrast, the potentials of GM-CSF and IL-2 Iack such symmetry, consis­ tent with their known high affinity for hetero-oligomeric receptors. Analysis of the electrostatic potentials sup­ ports a recently proposed hetero-oligomeric model for a high-affinity IL-4 receptor and suggests a possible new receptor binding mode for G-CSF; it also provides valuable information for guiding structural and mutagenesis studies of signal-transducing proteins and their receptors.

We describe a brownian dynamics simulation method that allows investigation of the effects of receptor flexibility on ligand binding rates. The method is applied to the encounter of substrate, glyceraldehyde 3-phosphate, with triose phosphate isomerase, a diffusion-controlled enzyme with flexible peptide loops at its active sites. The simulations show that while the electrostatic field surrounding the enzyme steers the substrate into its active sites, the flexible loops appear to have little influence on the substrate binding rate. The dynamics of the loops may therefore have been optimized during evolution to minimize their interference with the substrate's access to the active sites. The calculated and experimental rate constants are in good agreement.

The microsomal, membrane-bound, human cytochrome P450 (CYP) 2C9 is a liver-specific monooxygenase essential for drug metabolism. CYPs require electron transfer from the membrane-bound CYP reductase (CPR) for catalysis. The structural details and functional relevance of the CYP-membrane interaction are not understood. From multiple coarse grained molecular simulations started with arbitrary configurations of protein-membrane complexes, we found two predominant orientations of CYP2C9 in the membrane, both consistent with experiments and conserved in atomic-resolution simulations. The dynamics of membrane-bound and soluble CYP2C9 revealed correlations between opening and closing of different tunnels from the enzyme's buried active site. The membrane facilitated the opening of a tunnel leading into it by stabilizing the open state of an internal aromatic gate. Other tunnels opened selectively in the simulations of product-bound CYP2C9. We propose that the membrane promotes binding of liposoluble substrates by stabilizing protein conformations with an open access tunnel and provide evidence for selective substrate access and product release routes in mammalian CYPs. The models derived here are suitable for extension to incorporate other CYPs for oligomerization studies or the CYP reductase for studies of the electron transfer mechanism, whereas the modeling procedure is generally applicable to study proteins anchored in the bilayer by a single transmembrane helix., Author Summary We describe the first atomic-detail models and simulations of a full-length, membrane-bound mammalian cytochrome P450. To date, all the structural studies of microsomal, drug-metabolizing cytochrome P450s have been performed using engineered, solubilized forms of the enzymes and it is not yet understood how the membrane influences their structure, dynamics, and ability to bind substrates. We focused on CYP2C9, the second most abundant cytochrome P450 in the human liver which oxidizes 20% of all marketed drugs. Here, we have derived models of CYP2C9-membrane complexes with a modeling procedure based on molecular dynamics simulations started with arbitrary configurations of the protein in the membrane and performed using both coarse grained and atomic-detail molecular representations. This procedure is expected to be generally applicable to proteins that are anchored in the membrane with a single transmembrane helix. The models and simulations provide evidence for selective substrate access and product release routes in membrane-bound CYPs. This observation may contribute to new strategies to manipulate the activity of CYPs and other enzymes with buried active sites. We anticipate that this study will bring about a paradigm shift towards studying microsomal CYPs as dynamic structures in their natural, lipid environment rather than in artificially solubilized forms.

The active site of liver-specific, drug-metabolizing cytochrome P450 (CYP) monooxygenases is deeply buried in the protein and is connected to the protein surface through multiple tunnels, many of which were found open in different CYP crystal structures. It has been shown that different tunnels could serve as ligand passage routes in different CYPs. However, it is not understood whether one CYP uses multiple routes for substrate access and product release and whether these routes depend on ligand properties. From 300 ns of molecular dynamics simulations of CYP2C9, the second most abundant CYP in the human liver we found four main ligand exit routes, the occurrence of each depending on the ligand type and the conformation of the F-G loop, which is likely to be affected by the CYP-membrane interaction. A non-helical F-G loop favored exit towards the putative membrane-embedded region. Important protein features that direct ligand exit include aromatic residues that divide the active site and whose motions control access to two pathways. The ligands interacted with positively charged residues on the protein surface through hydrogen bonds that appear to select for acidic substrates. The observation of multiple, ligand-dependent routes in a CYP aids understanding of how CYP mutations affect drug metabolism and provides new possibilities for CYP inhibition.

Human thymidylate synthase is a homodimeric enzyme that plays a key role in DNA synthesis and is a target for several clinically important anticancer drugs that bind to its active site. We have designed peptides to specifically target its dimer interface. Here we show through X-ray diffraction, spectroscopic, kinetic, and calorimetric evidence that the peptides do indeed bind at the interface of the dimeric protein and stabilize its di-inactive form. The “LR” peptide binds at a previously unknown binding site and shows a previously undescribed mechanism for the allosteric inhibition of a homodimeric enzyme. It inhibits the intracellular enzyme in ovarian cancer cells and reduces cellular growth at low micromolar concentrations in both cisplatin-sensitive and -resistant cells without causing protein overexpression. This peptide demonstrates the potential of allosteric inhibition of hTS for overcoming platinum drug resistance in ovarian cancer.

The specificity of interactions between biological macromolecules and their ligands may be partially attributed to the directional properties of hydrogen bonds. We have now extended the GRID method (Goodford, P. J. J. Med. Chem. 1985, 28, 849. Boobbyer, D. N. A.; Goodford, P. J.; McWhinnie, P. M.; Wade, R. C. J. Med. Chem. 1989, 32, 1083), of determining energetically favorable ligand binding sites on molecules of known structure, in order to improve the treatment of groups which can make multiple hydrogen bonds. In this method, the interaction energy between a probe (a small chemical group that may be part of a larger ligand) and a target molecule is calculated using an energy function which includes a hydrogen bond term which is dependent on the length of the hydrogen bond, its orientation at the hydrogen-bonding atoms, and their chemical character. The methods described in the preceding paper (Wade, R. C.; Clark, K. J.; Goodford, P. J. J. Med. Chem., preceding paper in this issue) for probes capable of making two hydrogen bonds are here extended to the following probes which have the ability to make more than two hydrogen bonds: ammonium-NH3+, amine-NH2, sp3-hybridized hydroxyl, and water. Use of the improved GRID procedure is demonstrated by the determination of the conformation of an amino acid side chain at the subunit interface in hemoglobin and of the location of water binding sites in human lysozyme.

Brownian dynamics simulations of the diffusional encounter between the glycolytic enzyme triose phosphate isomerase (TIM) and its substrate, D-glyceraldehyde phosphate (GAP), were performed. GAP was modeled hydrodynamically as two touching spheres (a “dumbbell”) using charges which reproduced the molecular dipole moment of the glyceraldehyde phosphate molecule as estimated by an ab initio molecular orbital calculation. The crystal structure of TIM was used to construct a detailed topographical and electrostatic grid on which the diffusion of the dumbbell was numerically simulated. By determining the number of diffusional encounters which resulted in GAP descending into the active sites of TIM with the appropriate orientation, the diffusioncontrolled rate constant for the reaction was estimated to be 1.7 X lo8 M-* s-l. This is in reasonable agreement with the experimentally determined diffusion-controlled rate constant of 4.8 X lo8 M-l si. By reversing the direction of the dipole moment on the GAP model, it was shown that the orientational steering of the substrate by electrostatic torques can significantly increase the reaction rate constant. This effect is in addition to the previously established translational steering of the charged substrate by electrostatic forces.