Insights into protein-protein binding by binding free energy calculation and free energy decomposition for the Ras-Raf and Ras-RalGDS complexes

How inaccuracies in protein structure models affect estimates of protein-ligand interactions: computational analysis of HIV-I protease inhibitor binding

The influence of possible inaccuracies that can arise during homology modeling of protein structures used for ligand binding studies were investigated with the molecular mechanics generalized Born surface area (MM-GBSA) method. For this, a family of well-characterized HIV-I protease-inhibitor complexes was used. Validation of MM-GBSA led to a correlation coefficient ranging from 0.72 to 0.93 between calculated and experimental binding free energies DeltaG. All calculated DeltaG values were based on molecular dynamics simulations with explicit solvent. Errors introduced into the protein structure through misplacement of side-chains during rotamer modeling led to a correlation coefficient between DeltaG(calc) and DeltaG(exp) of 0.75 compared with 0.90 for the correctly placed side chains. This is in contrast to homology models for members of the retroviral protease family with template structures ranging in sequence identity between 32% and 51%. For these protein models, the correlation coefficients vary between 0.84 and 0.87, which is considerably closer to the original protein (0.90). It is concluded that HIV-I low sequence identity with the template structure still allows creating sufficiently reliable homology models to be used for ligand-binding studies, although placement of the rotamers is a critical step during the modeling.

Homology modeling and molecular dynamics study of West Nile virus NS3 protease: A molecular basis for the catalytic activity increased by the NS2B cofactor

The West Nile virus (WNV) NS3 serine protease, which plays an important role in assembly of infective virion, is an attractive target for anti-WNV drug development. Cofactors NS2B and NS4A increase the catalytic activity of NS3 in dengue virus and Hepatitis C virus, respectively. Recent studies on the WNV-NS3 characterize the catalytically active form of NS3 by tethering the 40-residue cofactor NS2B. It is suggested that NS2B is essential for the NS3 activity in WNV, while there is no information of the WNV-NS3-related crystal structure. To understand the role of NS2B/substrate in the NS3 catalytic activity, we built a series of models: WNV-NS3 and WNV-NS3-NS2B and WNV-NS3-NS2B-substrate using homology modeling and molecular modeling techniques. Molecular dynamics (MD) simulations were performed for 2.75 ns on each model, to investigate the structural stabilization and catalytic triad motion of the WNV NS3 protease with and without NS2B/substrate. The simulations show that the NS3 rearrangement occurs upon the NS2B binding, resulting in the stable D75-OD1...H51-NH hydrogen bonding. After the substrate binds to the NS3-NS2B active site, the NS3 protease becomes more stable, and the catalytic triad is formed. These results provide a structural basis for the activation and stabilization of the enzyme by its cofactor and substrate.

Structural assessment of single amino acid mutations: application to TP53 function

Single amino acid substitution is the type of protein alteration most related to human diseases. Current studies seek primarily to distinguish neutral mutations from harmful ones. Very few methods offer an explanation of the final prediction result in terms of the probable structural or functional effect on the protein. In this study, we describe the use of three novel parameters to identify experimentally-verified critical residues of the TP53 protein (p53). The first two parameters make use of a surface clustering method to calculate the protein surface area of highly conserved regions or regions with high nonlocal atomic interaction energy (ANOLEA) score. These parameters help identify important functional regions on the surface of a protein. The last parameter involves the use of a new method for pseudobinding free-energy estimation to specifically probe the importance of residue side-chains to the stability of protein fold. A decision tree was designed to optimally combine these three parameters. The result was compared to the functional data stored in the International Agency for Research on Cancer (IARC) TP53 mutation database. The final prediction achieved a prediction accuracy of 70% and a Matthews correlation coefficient of 0.45. It also showed a high specificity of 91.8%. Mutations in the 85 correctly identified important residues represented 81.7% of the total mutations recorded in the database. In addition, the method was able to correctly assign a probable functional or structural role to the residues. Such information could be critical for the interpretation and prediction of the effect of missense mutations, as it not only provided the fundamental explanation of the observed effect, but also helped design the most appropriate laboratory experiment to verify the prediction results.

CIRSE: a solvation energy estimator compatible with flexible protein docking and design applications

We present the Coordinate Internal Representation of Solvation Energy (CIRSE) for computing the solvation energy of protein configurations in terms of pairwise interactions between their atoms with analytic derivatives. Currently, CIRSE is trained to a Poisson/surface-area benchmark, but CIRSE is not meant to fit this benchmark exclusively. CIRSE predicts the overall solvation energy of protein structures from 331 NMR ensembles with 0.951+/-0.047 correlation and predicts relative solvation energy changes between members of individual ensembles with an accuracy of 15.8+/-9.6 kcal/mol. The energy of individual atoms in any of CIRSE's 17 types is predicted with at least 0.98 correlation. We apply the model in energy minimization, rotamer optimization, protein design, and protein docking applications. The CIRSE model shows some propensity to accumulate errors in energy minimization as well as rotamer optimization, but these errors are consistent enough that CIRSE correctly identifies the relative solvation energies of designed sequences as well as putative docked complexes. We analyze the errors accumulated by the CIRSE model during each type of simulation and suggest means of improving the model to be generally useful for all-atom simulations.

Insight through molecular mechanics Poisson-Boltzmann surface area calculations into the binding affinity of triclosan and three analogues for FabI, the E. coli enoyl reductase

Keeping pace with emerging drug resistance in clinically important pathogens will be greatly aided by inexpensive yet reliable computational methods that predict the binding affinities of ligands for drug targets. We present results using the molecular mechanics Poisson-Boltzmann surface area (MM-PBSA) method to calculate the affinity of a series of triclosan analogues for the E. coli enoyl reductase FabI, spanning a 450000-fold range of binding affinities. Significantly, a high correlation is observed between the calculated binding energies and those determined experimentally. Further examination indicates that the van der Waals energies are the most correlated component of the total affinity (r2 = 0.74), indicating that the shape of the inhibitor is very important in defining the binding energies for this system. The validation of MM-PBSA for the E coli FabI system serves as a platform for inhibitor design efforts focused on the homologous enzyme in Staphylococcus aureus and Mycobacterium tuberculosis.

Predicting 3D structures of transient protein-protein complexes by homology

The paper reports a homology based approach for predicting the 3D structures of full length hetero protein complexes. We have created a database of templates that includes structures of hetero protein-protein complexes as well as domain-domain structures (), which allowed us to expand the template pool up to 418 two-chain entries (at 40% sequence identity). Two protocols were tested-a protocol based on position specific Blast search (Protocol-I) and a protocol based on structural similarity of monomers (Protocol-II). All possible combinations of two monomers (350,284 pairs) in the ProtCom database were subjected to both protocols to predict if they form complexes. The predictions were benchmarked against the ProtCom database resulting to false-true positives ratios of approximately 5:1 and approximately 7:1 and recovery of 19% and 86%, respectively for protocols I and II. From 350,284 trials Protocol-I made only approximately 500 wrong predictions resulting to 0.5% error. In addition, though it was shown that artificially created domain-domain structures can in principle be good templates for modeling full length protein complexes, more sensitive methods are needed to detect homology relations. The quality of the models was assessed using two different criteria such as interfacial residues and overall RMSD. It was found that there is no correlation between these two measures. In many cases the interface residues were predicted correctly, but the overall RMSD was over 6 A and vice versa.

Reducing CDK4/6-p16(INK4a) interface. Computational alanine scanning of a peptide bound to CDK6 protein

The tumor suppressor gene p16INK4a is commonly found altered in numerous and different types of cancer. The encoded protein arrests cell cycle in G1 phase by binding to CDK4 and CDK6, inhibiting their kinase function. In 1995, a 20-residue peptide, extracted from p16INK4a protein sequence, was discovered that retains the cell cycle inhibition properties of the endogenous tumor suppressor. However, its structure has not been determined yet. In this article, the features of a theoretical structure of the peptide bound to CDK6 are reported. The complex was modeled from CDK6-p16INK4a X-ray crystal structure and through molecular dynamics. Final structure was assessed by comparing computed binding free energy changes, when single-alanine substitutions were brought about on the peptide, to experimental data. Better concordance was obtained when including a high level of solvation effects. Solute-solvent vdW energy and electrostatic energy between solute and first shells of water, computed through a force field and considering explicit waters, were also to be included to achieve reasonably good concordance between theoretical and experimental data.

A molecular dynamics study and free energy analysis of complexes between the Mlc1p protein and two IQ motif peptides

The Mlc1p protein from the budding yeast Saccharomyces cerevisiae is a Calmodulin-like protein, which interacts with IQ-motif peptides located at the yeast's myosin neck. In this study, we report a molecular dynamics study of the Mlc1p-IQ2 protein-peptide complex, starting with its crystal structure, and investigate its dynamics in an aqueous solution. The results are compared with those obtained by a previous study, where we followed the solution structure of the Mlc1p-IQ4 protein-peptide complex by molecular dynamics simulations. After the simulations, we performed an interaction free-energy analysis using the molecular mechanics Poisson-Boltzmann surface area approach. Based on the dynamics of the Mlc1p-IQ protein-peptide complexes, the structure of the light-chain-binding domain of myosin V from the yeast S. cerevisiae is discussed.

The role of residue stability in transient protein-protein interactions involved in enzymatic phosphate hydrolysis. A computational study

Finding why protein-protein interactions (PPIs) are so specific can provide a valuable tool in a variety of fields. Statistical surveys of so-called transient complexes (like those relevant for signal transduction mechanisms) have shown a tendency of polar residues to participate in the interaction region. Following this scheme, residues in the unbound partners have to compete between interacting with water or interacting with other residues of the protein. On the other hand, several works have shown that the notion of active site electrostatic preorganization can be used to interpret the high efficiency in enzyme reactions. This preorganization can be related to the instability of the residues important for catalysis. In some enzymes, in addition, conformational changes upon binding to other proteins lead to an increase in the activity of the enzymatic partner. In this article the linear response approximation version of the semimacroscopic protein dipoles Langevin dipoles (PDLD/S-LRA) model is used to evaluate the stability of several residues in two phosphate hydrolysis enzymes upon complexation with their activating partners. In particular, the residues relevant for PPI and for phosphate hydrolysis in the CDK2/Cyclin A and Ras/GAP complexes are analyzed. We find that the evaluation of the stability of residues in these systems can be used to identify not only active site regions but it can also be used as a guide to locate "hot spots" for PPIs. We also show that conformational changes play a major role in positioning interfacing residues in a proper "energetic" orientation, ready to interact with the residues in the partner protein surface. Thus, we extend the preorganization theory to PPIs, extrapolating the results we obtained from the above-mentioned complexes to a more general case. We conclude that the correlation between stability of a residue in the surface and the likelihood that it participates in the interaction can be a general fact for transient PPIs.

Study of the insulin dimerization: binding free energy calculations and per-residue free energy decomposition

A calculation of the binding free energy for the dimerization of insulin has been performed using the molecular mechanics-generalized Born surface area approach. The calculated absolute binding free energy is -11.9 kcal/mol, in approximate agreement with the experimental value of -7.2 kcal/mol. The results show that the dimerization is mainly due to nonpolar interactions. The role of the hydrogen bonds between the 2 monomers appears to give the direction of the interactions. A per-atom decomposition of the binding free energy has been performed to identify the residues contributing most to the self association free energy. Residues B24-B26 are found to make the largest favorable contributions to the dimerization. Other residues situated at the interface between the 2 monomers were found to make favorable but smaller contributions to the dimerization: Tyr B16, Val B12, and Pro B28, and to an even lesser extent, Gly B23. The energy decomposition on a per-residue basis is in agreement with experimental alanine scanning data. The results obtained from a single trajectory (i.e., the dimer trajectory is also used for the monomer analysis) and 2 trajectories (i.e., separate trajectories are used for the monomer and dimer) are similar.

Flexibility and Conformational Entropy in Protein-Protein Binding

To better understand the interplay between protein-protein binding and protein dynamics, we analyzed molecular dynamics simulations of 17 protein-protein complexes and their unbound components. Complex formation does not restrict the conformational freedom of the partner proteins as a whole, but, rather, it leads to a redistribution of dynamics. We calculate the change in conformational entropy for seven complexes with quasiharmonic analysis. We see significant loss, but also increased or unchanged conformational entropy. Where comparison is possible, the results are consistent with experimental data. However, stringent error estimates based on multiple independent simulations reveal large uncertainties that are usually overlooked. We observe substantial gains of pseudo entropy in individual partner proteins, and we observe that all complexes retain residual stabilizing intermolecular motions. Consequently, protein flexibility has an important influence on the thermodynamics of binding and may disfavor as well as favor association. These results support a recently proposed unified model for flexible protein-protein association.

Identification of a specific inhibitor of the dishevelled PDZ domain

The Wnt signaling pathways are involved in embryo development as well as in tumorigenesis. Dishevelled (Dvl) transduces Wnt signals from the receptor Frizzled (Fz) to downstream components in canonical and noncanonical Wnt signaling pathways. The Dvl PDZ domain is thought to play an essential role in both pathways, and we recently demonstrated that the Dvl PDZ domain binds directly to Fz receptors. In this study, using structure-based virtual ligand screening, we identified an organic molecule (NSC668036) from the National Cancer Institute small-molecule library that can bind to the Dvl PDZ domain. We then used molecular dynamics simulation to analyze the binding between the PDZ domain and NSC668036 in detail. In addition, we showed that, in Xenopus, as expected, NSC668036 inhibited the signaling induced by Wnt3A. This compound provides a basis for rational design of high-affinity inhibitors of the PDZ domain, which can block Wnt signaling by interrupting the Fz-Dvl interaction.

Macromolecular crowding enhances the binding of superoxide dismutase to xanthine oxidase: Implications for protein–protein interactions in intracellular environments

Physiological medium constitutes a crowded environment that serves as the field of action for protein-protein interaction in vivo. Measuring protein-protein interaction in crowded solutions can mimic this environment. Here we report the application of fluorescence spectroscopy and resonant mirror biosensor to investigate the interactions of bovine milk xanthine oxidase and bovine erythrocyte copper, zinc-superoxide dismutase in crowded solutions. Four nonspecific high molecular mass crowding agents, poly(ethylene glycol) 2000 and 20,000, Ficoll 70, and dextran 70, and one low molecular mass compound, glycerol, are used. Superoxide dismutase shows a strong and macromolecular crowding agent concentration-dependent binding affinity to xanthine oxidase. Addition of high concentrations of such high molecular mass crowding agents increases the binding constant remarkably and thus stabilizes superoxide dismutase activity, compared to those in the absence of crowding agents. In contrast, glycerol has little effect on the binding constant and decreases superoxide dismutase activity over the same concentration range. Such a pattern suggests that the enhancing effects of polymers and polysaccharides on the binding are due to macromolecular crowding. Taken together, these results indicate that macromolecular crowding enhances the binding of superoxide dismutase to xanthine oxidase and is favorable to the function of superoxide dismutase.

Structural prediction of peptides bound to MHC class I

An ab initio structure prediction approach adapted to the peptide-major histocompatibility complex (MHC) class I system is presented. Based on structure comparisons of a large set of peptide-MHC class I complexes, a molecular dynamics protocol is proposed using simulated annealing (SA) cycles to sample the conformational space of the peptide in its fixed MHC environment. A set of 14 peptide-human leukocyte antigen (HLA) A0201 and 27 peptide-non-HLA A0201 complexes for which X-ray structures are available is used to test the accuracy of the prediction method. For each complex, 1000 peptide conformers are obtained from the SA sampling. A graph theory clustering algorithm based on heavy atom root-mean-square deviation (RMSD) values is applied to the sampled conformers. The clusters are ranked using cluster size, mean effective or conformational free energies, with solvation free energies computed using Generalized Born MV 2 (GB-MV2) and Poisson-Boltzmann (PB) continuum models. The final conformation is chosen as the center of the best-ranked cluster. With conformational free energies, the overall prediction success is 83% using a 1.00 Angstroms crystal RMSD criterion for main-chain atoms, and 76% using a 1.50 Angstroms RMSD criterion for heavy atoms. The prediction success is even higher for the set of 14 peptide-HLA A0201 complexes: 100% of the peptides have main-chain RMSD values < or =1.00 Angstroms and 93% of the peptides have heavy atom RMSD values < or =1.50 Angstroms. This structure prediction method can be applied to complexes of natural or modified antigenic peptides in their MHC environment with the aim to perform rational structure-based optimizations of tumor vaccines.

The Amber biomolecular simulation programs

We describe the development, current features, and some directions for future development of the Amber package of computer programs. This package evolved from a program that was constructed in the late 1970s to do Assisted Model Building with Energy Refinement, and now contains a group of programs embodying a number of powerful tools of modern computational chemistry, focused on molecular dynamics and free energy calculations of proteins, nucleic acids, and carbohydrates.

Evaluating the Molecular Mechanics Poisson−Boltzmann Surface Area Free Energy Method Using a Congeneric Series of Ligands to p38 MAP Kinase

The recently described molecular mechanics Poisson-Boltzmann surface area (MM-PBSA) method for calculating free energies is applied to a congeneric series of 16 ligands to p38 MAP kinase whose binding constants span approximately 2 orders of magnitude. These compounds have previously been used to test and compare other free energy calculation methods, including thermodynamic integration (TI), OWFEG, ChemScore, PLPScore, and Dock Energy Score. We find that the MM-PBSA performs relatively poorly for this set of ligands, yielding results much inferior to those from TI or OWFEG, inferior to Dock Energy Score, and not appreciably better than ChemScore or PLPScore but at an appreciably larger computational cost than any of these other methods. This suggests that one should be selective in applying the MM-PBSA method and that for systems that are amenable to other free energy approaches, these other approaches may be preferred. We also examine the single simulation approximation for MM-PBSA, whereby the required ligand and protein trajectories are extracted from a single MD simulation rather than two separate MD runs. This assumption, sometimes used to speed the MM-PBSA calculation, is found to yield significantly inferior results with only a moderate net percentage reduction in total simulation time.

Binding energy analysis for wild-type and Y181C mutant HIV-1 RT/8-Cl TIBO complex structures: Quantum chemical calculations based on the ONIOM method

Two-layered and three-layered ONIOM calculations were performed to compare the binding energies of 8-Cl TIBO inhibitor when bound into the human immunodeficiency virus reverse transcriptase binding pocket and a Y181C variant. Both consisted of 20 residues within a radius of 15 A. A combination of different methods [MP2/6-31G(d), B3LYP/6-31G(d,p), and PM3] were performed to take advantage of ONIOM's layering strategy analysis. The obtained results clearly indicate that the Y181C mutation reduces the binding affinity and stability of the inhibitor by approximately 8-9 kcal/mol as obtained from different combined MO:MO methods. Analyses regarding the energetic components of the interaction and deformation energies for 8-Cl TIBO inhibitor upon binding were also examined extensively. Additional calculations involving the interaction energies between 8-Cl TIBO with individual residues surrounding the binding pocket were performed at MP2/6-31G(d,p) and B3LYP/6-31G(d,p) levels of theory to gain more insight into the energetic differences of wild-type and Y181C mutant type at the atomistic level.

Cooperative binding of DNA and CBFbeta to the Runt domain of the CBFalpha studied via MD simulations

The Runt domain (RD) is the DNA-binding region of the Runx genes. A related protein, known as core binding factor beta (CBFbeta) also binds to the RD to enhance RD-DNA interaction by 6- to 10-fold. Here, we report results from molecular dynamics (MD) simulations of RD alone, as a dimer in complexes with DNA and CBFbeta and in a ternary complex with DNA and CBFbeta. Consistent with the experimental findings, in the presence of CBFbeta the estimated free energy of binding of RD to the DNA is more favorable, which is shown to be due to more favorable intermolecular interactions and desolvation contributions. Also contributing to the enhanced binding are favorable intramolecular interactions between the 'wing' residues (RD residues 139-145) and the 'wing1' residues (RD residues 104-116). The simulation studies also indicate that the RD-CBFbeta binding is more favorable in the presence of DNA due to a more favorable RD-CBFbeta interaction energy. In addition, it is predicted that long-range interactions involving ionic residues contribute to binding cooperativity. Results from the MD calculations are used to interpret a variety of experimental mutagenesis data. A novel role for RD Glu116 to the RD-CBFbeta interaction is predicted.

Magnitude of the hydrophobic effect at central versus peripheral sites in protein-protein interfaces

Hydrophobic interactions are essential for stabilizing protein-protein complexes, whose interfaces generally consist of a central cluster of hot spot residues surrounded by less important peripheral residues. According to the O-ring hypothesis, a condition for high affinity binding is solvent exclusion from interacting residues. This hypothesis predicts that the hydrophobicity at the center is significantly greater than at the periphery, which we estimated at 21 cal mol(-1) A(-2). To measure the hydrophobicity at the center, structures of an antigen-antibody complex where a buried phenylalanine was replaced by smaller hydrophobic residues were determined. By correlating structural changes with binding free energies, we estimate the hydrophobicity at this central site to be 46 cal mol(-1) A(-2), twice that at the periphery. This context dependence of the hydrophobic effect explains the clustering of hot spots at interface centers and has implications for hot spot prediction and the design of small molecule inhibitors.

Experimental and Computational Characterization of the Dimerization of the PTS-regulation Domains of BglG from Escherichia coli

BglG and LicT are transcriptional antiterminators from Escherichia coli and Bacillus subtilis, respectively, that control the expression of genes and operons involved in transport and catabolism of carbohydrates. Both proteins contain a duplicate conserved domain, the PTS-regulation domain (PRD), and they are regulated by phosphorylation on specific, highly conserved histidine residues located in the PRDs. However, despite their similar function and the high sequence identity, experimental evidence implies different modes of regulation. Thus, BglG must be de-phosphorylated on PRD2 in order to form active dimers, whereas activation of LicT requires de-phosphorylation on PRD1 and phosphorylation on PRD2. Here we address two goals. First, we test in vivo and in silico the effect of point mutations in the PRDs of BglG on the PRD-PRD dimerization. Second, we explore computationally the effect of histidine phosphorylation on PRD dimerization in BglG and LicT. We find excellent correspondence between the experimental and computational measures of the influence of mutations on PRD dimerization in BglG. This establishes that the geometric-electrostatic complementarity scores computed with the program MolFit provide a good measure of the effects of mutations in this system. In addition, it indicates that the dimerization mode of the separately expressed PRDs of BglG is similar to the dimers formed by activated LicT. The computations also show that phosphorylation of the histidine residues in PRD1 of either BglG or LicT leads to a strong electrostatic repulsion. Conversely, the phosphorylation of one histidine residue in PRD2 of LicT leads to improved electrostatic complementarity at the PRD2-PRD2 interface, whereas the corresponding phosphorylation in BglG has negligible contribution. This different conduct may be attributed to a single replacement in the sequence of PRD2 in BglG compared to LicT, Ala262 versus Asp261, respectively.

Protein-ligand binding free energy estimation using molecular mechanics and continuum electrostatics. Application to HIV-1 protease inhibitors

A method is proposed for the estimation of absolute binding free energy of interaction between proteins and ligands. Conformational sampling of the protein-ligand complex is performed by molecular dynamics (MD) in vacuo and the solvent effect is calculated a posteriori by solving the Poisson or the Poisson-Boltzmann equation for selected frames of the trajectory. The binding free energy is written as a linear combination of the buried surface upon complexation, SASbur, the electrostatic interaction energy between the ligand and the protein, Eelec, and the difference of the solvation free energies of the complex and the isolated ligand and protein, deltaGsolv. The method uses the buried surface upon complexation to account for the non-polar contribution to the binding free energy because it is less sensitive to the details of the structure than the van der Waals interaction energy. The parameters of the method are developed for a training set of 16 HIV-1 protease-inhibitor complexes of known 3D structure. A correlation coefficient of 0.91 was obtained with an unsigned mean error of 0.8 kcal/mol. When applied to a set of 25 HIV-1 protease-inhibitor complexes of unknown 3D structures, the method provides a satisfactory correlation between the calculated binding free energy and the experimental pIC5o without reparametrization.

Empirical force fields for biological macromolecules: overview and issues

Empirical force field-based studies of biological macromolecules are becoming a common tool for investigating their structure-activity relationships at an atomic level of detail. Such studies facilitate interpretation of experimental data and allow for information not readily accessible to experimental methods to be obtained. A large part of the success of empirical force field-based methods is the quality of the force fields combined with the algorithmic advances that allow for more accurate reproduction of experimental observables. Presented is an overview of the issues associated with the development and application of empirical force fields to biomolecular systems. This is followed by a summary of the force fields commonly applied to the different classes of biomolecules; proteins, nucleic acids, lipids, and carbohydrates. In addition, issues associated with computational studies on "heterogeneous" biomolecular systems and the transferability of force fields to a wide range of organic molecules of pharmacological interest are discussed.

Cooperative effects on the formation of intercalation sites

Daunomycin is one of the most important agents used in anticancer chemotherapy. It interacts with DNA through intercalation of its planar chromophore between successive base pairs. The effect of intercalation on structure, dynamics and energetics is the topic of a wealth of scientific studies. In the present study, we report a computational examination of the energetics of the intercalation process. In detail, we concentrate on the energetic penalty that intercalation of daunomycin introduces into DNA by disturbing it from its unbound conformation. For these means, we are analyzing already published molecular dynamics simulations of daunomycin-DNA complexes and present novel simulations of a bisdaunomycin-DNA and a 9-dehydroxydaunomycin-DNA intercalated complex using the MM-GBSA module implemented in the AMBER suite of programs. Using this molecular dynamics based, continuum solvent method we were able to calculate the energy required to form an intercalation site. Consequently, we compare the free energy of the duplex d(CGCGCGATCGCGCG)(2) in the B-form conformation with the respective conformations when intercalated with daunomycin and a bisintercalating analog. Our results show that the introduction of one single intercalation site costs approximately 32 kcal/mol. For double intercalation, or intercalation of the bisintercalator, the respective value for one intercalation site decreases to 27 and 24 kcal/mol, respectively, at a theoretical salt concentration of 0.15 M. This proposes that at least in these cases, a synergistic effect takes place. Although it is well known that intercalation leads to substantial disturbance of the DNA conformation, already performed investigations suggest a lower energetic penalty. Nevertheless to the best of our knowledge the calculations presented here are the most complete ones and consider hydration effects for the first time. The interaction energy between the ligand and the DNA certainly over-compensates this penalty for introducing the intercalation site and thus favors complexation. Such analyses are helpful for the description of allosteric effects in protein ligand binding.

Getting it right: modeling of pH, solvent and “nearly” everything else in virtual screening of biological targets

"Getting it right" refers to the careful modeling of all elements in the living system, i.e. biological macromolecules, ligands and water molecules. In addition, careful attention should be paid to the protonation state of ionizable functional groups on the ligands and residues at the active site. Computational technology based on the empirical HINT program is described to: (1) calculate free energy scores for ligand binding; (2) include the implicit and explicit effects of water in and around the ligand binding site; and (3) incorporate the effects of global and local pH in molecular models. This last point argues for the simultaneous consideration of a number of molecular models, each with different protonation profiles. Data from recent studies of protein-ligand systems (trypsin, thrombin, neuraminidase, HIV-1 protease and others) are used to illustrate the concepts in the paper. Also discussed are experimental factors related to accurate free energy predictions with this and other computational technologies.

Efficiency of a second-generation HIV-1 protease inhibitor studied by molecular dynamics and absolute binding free energy calculations

A subnanomolar inhibitor of human immunodeficiency virus type 1 (HIV-1) protease, designated QF34, potently inhibits the wild-type and drug-resistant enzyme. To explain its broad activity, the binding of QF34 to the wild-type HIV-1 protease is investigated by molecular dynamics simulations and compared to the binding of two inhibitors that are used clinically, saquinavir (SQV) and indinavir (IDV). Analysis of the flexibility of protease residues and inhibitor segments in the complex reveals that segments of QF34 were more mobile during the dynamics studies than the segments of SQV and IDV. The dynamics of hydrogen bonding show that QF34 forms a larger number of stable hydrogen bonds than the two inhibitors that are used clinically. Absolute binding free energies were calculated with molecular mechanics-generalized Born surface area (MM-GBSA) methodology using three protocols. The most consistent results were obtained using the single-trajectory approach, due to cancellation of errors and inadequate sampling in the separate-trajectory protocols. For all three inhibitors, energy components in favor of binding include van der Waals and electrostatic terms, whereas polar solvation and entropy terms oppose binding. Decomposition of binding energies reveals that more protease residues contribute significantly to the binding of QF34 than to the binding of SQV and IDV. Moreover, contributions from protease main chains and side chains are balanced in the case of QF34 (52:48 ratio, respectively), whereas side chain contributions prevail in both SQV and IDV (main-chain:side-chain ratios of 41:59 and 45:55, respectively). The presented results help explain the ability of QF34 to inhibit multiple resistant mutants and should be considered in the design of broad-specificity second-generation HIV-1 protease inhibitors.

Change in protein flexibility upon complex formation: Analysis of Ras-Raf using molecular dynamics and a molecular framework approach

Changes in flexibility upon protein-protein complex formation of H-Ras and the Ras-binding domain of C-Raf1 have been investigated using the molecular framework approach FIRST (Floppy Inclusion and Rigid Substructure Topology) and molecular dynamics simulations (MD) of in total approximately 35 ns length. In a computational time of about one second, FIRST identifies flexible and rigid regions in a single, static three-dimensional molecular framework, whose vertices represent protein atoms and whose edges represent covalent and non-covalent (hydrogen bond and hydrophobic) constraints and fixed bond angles within the protein. The two methods show a very good agreement with respect to the identification of changes in flexibility in both binding partners on a local scale. This implies that flexibility can be successfully predicted by identifying which bonds limit motion within a molecule and how they are coupled. In particular, as identified by MD, the beta-sheet in Raf shows considerably more pronounced orientational correlations in the bound state compared to the unbound state. Similarly, FIRST assigns the beta-sheet to the largest rigid cluster of the complex. Interestingly, FIRST allows us to identify that interactions across the interface (but not conformational changes upon complex formation) result in the observed rigidification. Since regions of the beta-sheet of Raf that do not interact directly with Ras become rigidified, this also demonstrates the long-range aspect to rigidity percolation. Possible implications of the change of flexibility of the Ras-binding domain of Raf on the activation of Raf upon complex formation are discussed. Finally, the sensitivity of FIRST results with respect to the representation of non-covalent interactions used as constraints is probed.

Calculating proton uptake/release and binding free energy taking into account ionization and conformation changes induced by protein-inhibitor association: Application to plasmepsin, cathepsin D and endothiapepsin-pepstatin complexes

The protein-inhibitor binding energies of enzymes are often pH dependent, and binding induces either proton uptake or proton release. The proton uptake/release and the binding energy for three complexes with available experimental data were numerically studied: pepstatin-cathepsin D, pepstatin-plasmepsin II and pepstatin-endothiapepsin. Very good agreement with the experimental data was achieved when conformational changes were taken into account. The role of the desolvation energy and the conformational changes was revealed by modeling the complex, the separated molecules in the complex conformation and the free molecules. It was shown that the conformational changes induced by the complex formation are as important for the proton transfer as the loss of solvation energy caused by the burial of interface residues. The residues responsible for the proton transfer were identified and their contribution to the proton uptake/release calculated. These residues were found to be scattered along the whole protein rather than being localized only at the active site. In the case of cathepsin D, these residues were found to be highly conserved among the cathepsin D sequences of other species. It was shown that conformation and ionization changes induced by the complex formation are critical for the correct calculation of the binding energy. Taking into account the electrostatics and the van der Waals (vdW) energies within the Boltzmann distribution of energies and allowing ionization and conformation changes to occur makes the calculated binding energy more realistic and closer to the experimental value. The interplay between electrostatic and vdW forces makes the pH dependence of the binding energy smoother, because the vdW force acts in reaction to the changes of the electrostatic energy. It was found that a small fraction of the ionizable groups remain uncharged in both the free and complexed molecules. The sequence and structural position of these groups aligns well within the three proteases, suggesting that these may have specific role.

Converging free energy estimates: MM-PB(GB)SA studies on the protein-protein complex Ras-Raf

Estimating protein-protein interaction energies is a very challenging task for current simulation protocols. Here, absolute binding free energies are reported for the complex H-Ras/C-Raf1 using the MM-PB(GB)SA approach, testing the internal consistency and model dependence of the results. Averaging gas-phase energies (MM), solvation free energies as determined by Generalized Born models (GB/SA), and entropic contributions calculated by normal mode analysis for snapshots obtained from 10 ns explicit-solvent molecular dynamics in general results in an overestimation of the binding affinity when a solvent-accessible surface area-dependent model is used to estimate the nonpolar solvation contribution. Applying the sum of a cavity solvation free energy and explicitly modeled solute-solvent van der Waals interaction energies instead provides less negative estimates for the nonpolar solvation contribution. When the polar contribution to the solvation free energy is determined by solving the Poisson-Boltzmann equation (PB) instead, the calculated binding affinity strongly depends on the atomic radii set chosen. For three GB models investigated, different absolute deviations from PB energies were found for the unbound proteins and the complex. As an alternative to normal-mode calculations, quasiharmonic analyses have been performed to estimate entropic contributions due to changes of solute flexibility upon binding. However, such entropy estimates do not converge after 10 ns of simulation time, indicating that sampling issues may limit the applicability of this approach. Finally, binding free energies estimated from snapshots of the unbound proteins extracted from the complex trajectory result in an underestimate of binding affinity. This points to the need to exercise caution in applying the computationally cheaper "one-trajectory-alternative" to systems where there may be significant changes in flexibility and structure due to binding. The best estimate for the binding free energy of Ras-Raf obtained in this study of -8.3 kcal mol(-1) is in good agreement with the experimental result of -9.6 kcal mol(-1), however, further probing the transferability of the applied protocol that led to this result is necessary.