A molecular dynamics study of the C-terminal fragment of the L7/L12 ribosomal protein

The crystallographic dimer of the C-terminal fragment (CTF) of the L7/L12 ribosomal protein has been subjected to molecular dynamics (MD) simulations. A 90 picosecond (ps) trajectory for the protein dimer, 19 water molecules and two counter ions has been calculated at constant temperature. Effects of intermolecular interactions on the structure and dynamics have been studied. The exact crystallographic symmetry is lost and the atomic fluctuations differ from one monomer to the other. The average MD structure is more stable than the X-ray one, as judged by accessible surface area and energy calculations. Crystal (non-dimeric) interactions have been simulated in another 40 ps trajectory by using harmonic restraints to represent intermolecular hydrogen bonds. The conformational changes with respect ot the X-ray structure are then virtually suppressed.The unrestrained dimer trajectory has been scanned for cooperative motions involving secondary structure elements. The intrinsic collective motions of the monomer are transmitted via intermolecular contacts to the dimer structure.The existence of a stable dimeric form of CTF, resembling the crystallographic one, has been documented. At the cost of fairly small energy expenditure the dimer has considerable conformational flexibility. This flexibility may endow the dimer with some functional potential as an energy transducer.     

Ribonuclease A. Analysis of the hydrogen bond geometry, and spatial accessibility at the active site

The hydrogen bonding of bovine ribonuclease A derived from the high resolution X-ray structure has been studied in detail. Correlations have been examined for main-chain-main-chain hydrogen bond angles, torsion angles and distances, respectively. Differences are found consistently for correlations associated with alpha-helix and beta-sheet, respectively. Ten of the 124 side-chains have four or more hydrogen bond contacts; two, including Glu-101, have five or more. Three potential C = O---H, three N---X and three potential side-chain H-bonds fail to form. A search for highly inaccessible buried residues resulted in nine outstanding examples, all of which are conserved across 38 known mammalian ribonuclease A sequences, indicating the importance of these residues for structural stability. Of the two histidines in the active site, His-12 has five hydrogen bonds and His-119 three. The conformational space accessible to these two catalytically important residues studied by means of simple non-bonded contact energy calculations confirms the existence of two alternative, interchangeable locations for His-119, while His-12 is locked in a local energy minimum.     

Synthesis, X-ray crystallographic structures of thio substituted N-acetyl N'-methylamide alanine and evaluation of sp sulfur parameters of the CFF91 force field.

Acetyl thioalanine N-methyl (Ac-Alat-NHMe) and thioacetyl alanine N-methyl (Act-Ala-NHMe) were synthesized, crystallized and their X-ray diffraction structures determined for the first time. Both molecules adopted beta-sheet conformations and showed similar hydrogen bonding patterns with one molecular surface forming two oxo hydrogen bonds and the other forming two thio hydrogen bonds. The crystal structure data for the two thioamides provided a validation of the thioamide parameters for the newly derived CFF91 force field because the observed crystal (phi, psi) angles were situated in the global minimum regions of the theoretical (phi, psi) map predicted using the parameters. In addition, the parameters were further validated because conformational energy minimization of the crystal structure produced low deviations in unit cell dimensions, bond lengths, bond angles and torsional angles, and a 120-ps molecular dynamics simulation also gave a low deviation for the most probable N-H...S=C bond distance.     

Contribution of hydrogen bonds to the conformational stability of human lysozyme: calorimetry and X-ray analysis of six Ser --> Ala mutants.

To further examine the contribution of hydrogen bonds to the conformational stability of the human lysozyme, six Ser to Ala mutants were constructed. The thermodynamic parameters for denaturation of these six Ser mutant proteins were investigated by differential scanning calorimetry (DSC), and the crystal structures were determined by X-ray analysis. The denaturation Gibbs energy (DeltaG) of the Ser mutant proteins was changed from 2.0 to -5.7 kJ/mol, compared to that of the wild-type protein. With an analysis in which some factors that affected the stability due to mutation were considered, the contribution of hydrogen bonds to the stability (Delta DeltaGHB) was extracted on the basis of the structures of the mutant proteins. The results showed that hydrogen bonds between protein atoms and between a protein atom and a water bound with the protein molecule favorably contribute to the protein stability. The net contribution of one intramolecular hydrogen bond to protein stability (DeltaGHB) was 8.9 +/- 2.6 kJ/mol on average. However, the contribution to the protein stability of hydrogen bonds between a protein atom and a bound water molecule was smaller than that for a bond between protein atoms.     

Native atomic burials, supplemented by physically motivated hydrogen bond constraints, contain sufficient information to determine the tertiary structure of small globular proteins

We investigate the possibility that atomic burials, as measured by their distances from the structural geometrical center, contain sufficient information to determine the tertiary structure of globular proteins. We report Monte Carlo simulated annealing results of all-atom hard-sphere models in continuous space for four small proteins: the all-beta WW-domain 1E0L, the alpha/beta protein-G 1IGD, the all-alpha engrailed homeo-domain 1ENH, and the alpha + beta engineered monomeric form of the Cro protein 1ORC. We used as energy function the sum over all atoms, labeled by i, of |R(i) - R(i) (*)|, where R(i) is the atomic distance from the center of coordinates, or central distance, and R(i) (*) is the "ideal" central distance obtained from the native structure. Hydrogen bonds were taken into consideration by the assignment of two ideal distances for backbone atoms forming hydrogen bonds in the native structure depending on the formation of a geometrically defined bond, independently of bond partner. Lowest energy final conformations turned out to be very similar to the native structure for the four proteins under investigation and a strong correlation was observed between energy and distance root mean square deviation (DRMS) from the native in the case of all-beta 1E0L and alpha/beta 1IGD. For all alpha 1ENH and alpha + beta 1ORC the overall correlation between energy and DRMS among final conformations was not as high because some trajectories resulted in high DRMS but low energy final conformations in which alpha-helices adopted a non-native mutual orientation. Comparison between central distances and actual accessible surface areas corroborated the implicit assumption of correlation between these two quantities. The Z-score obtained with this native-centric potential in the discrimination of native 1ORC from a set of random compact structures confirmed that it contains a much smaller amount of native information when compared to a traditional contact Go potential but indicated that simple sequence-dependent burial potentials still need some improvement in order to attain a similar discriminability. Taken together, our results suggest that central distances, in conjunction to physically motivated hydrogen bond constraints, contain sufficient information to determine the native conformation of these small proteins and that a solution to the folding problem for globular proteins could arise from sufficiently accurate burial predictions from sequence followed by minimization of a burial-dependent energy function.     

Quantum mechanical electronic structure calculation reveals orientation dependence of hydrogen bond energy in proteins

Hydrogen bond plays a unique role in governing macromolecular interactions with exquisite specificity. These interactions govern the fundamental biological processes like protein folding, enzymatic catalysis, molecular recognition. Despite extensive research work, till date there is no proper report available about the hydrogen bond's energy surface with respect to its geometric parameters, directly derived from proteins. Herein, we have deciphered the potential energy landscape of hydrogen bond directly from the macromolecular coordinates obtained from Protein Data Bank using quantum mechanical electronic structure calculations. The findings unravel the hydrogen bonding energies of proteins in parametric space. These data can be used to understand the energies of such directional interactions involved in biological molecules. Quantitative characterization has also been performed using Shannon entropic calculations for atoms participating in hydrogen bond. Collectively, our results constitute an improved way of understanding hydrogen bond energies in case of proteins and complement the knowledge‐based potential. Proteins 2017; 85:1046–1055. © 2017 Wiley Periodicals, Inc.     

NMR of hydrogen bonding in cold-shock protein A and an analysis of the influence of crystallographic resolution on comparisons of hydrogen bond lengths

Hydrogen bonding in cold-shock protein A of Escherichia coli has been investigated using long-range HNCO spectroscopy. Nearly half of the amide protons involved in hydrogen bonds in solution show no measurable protection from exchange in water, cautioning against a direct correspondence between hydrogen bonding and hydrogen exchange protection. The N to O atom distance across a hydrogen bond, R(NO), is related to the size of the (3h)J(NC') trans hydrogen bond coupling constant and the amide proton chemical shift. Both NMR parameters show poorer agreement with the 2.0-A resolution X-ray structure of the cold-shock protein studied by NMR than with a 1.2-A resolution X-ray structure of a homologous cold-shock protein from the thermophile B. caldolyticus. The influence of crystallographic resolution on comparisons of hydrogen bond lengths was further investigated using a database of 33 X-ray structures of ribonuclease A. For highly similar structures, both hydrogen bond R(NO) distance and Calpha coordinate root mean square deviations (RMSD) show systematic increases as the resolution of the X-ray structure used for comparison decreases. As structures diverge, the effects of coordinate errors on R(NO) distance and Calpha coordinate root mean square deviations become progressively smaller. The results of this study are discussed with regard to the influence of data precision on establishing structure similarity relationships between proteins.     

Computer graphics presentations and analysis of hydrogen bonds from molecular dynamics simulation

To obtain better insights into the dynamic nature of hydrogen bonding, computer graphics representations were introduced as an aid for the analysis of molecular dynamics trajectories. A schematic representation of hydrogen bonding patterns is generated to reflect the frequency and the type of hydrogen bonding occurring during the simulation period. Various trajectory plots for monitoring geometrical parameters and for analyzing three-center hydrogen bonding were also generated. The methods proposed are applicable to a variety of biopolymers. In this study, hydrogen bonding in the d(G) · d(C)₆ system was examined. For the nucleic acid fragments examined, three-center hydrogen bonds can be classified as in-plane and major or minor groove types. The in-plane three-center hydrogen bond represents a stable state in which both bonds simultaneously satisfy the relaxed hydrogen bonding criteria for a measurable period. On the other hand, groove three-center hydrogen bonds behave as a transient intermediate state in a flip-flop hydrogen bonding system.     

High-precision measurement of hydrogen bond lengths in proteins by nuclear magnetic resonance methods.

We have compared hydrogen bond lengths on enzymes derived with high precision (< or = +/- 0.05 A) from both the proton chemical shifts (delta) and the fractionation factors (phi) of the proton involved with those obtained from protein X-ray crystallography. Hydrogen bond distances derived from proton chemical shifts were obtained from a correlation of 59 O--H....O hydrogen bond lengths, measured by small molecule high-resolution X-ray crystallography, with chemical shifts determined by solid-state nuclear magnetic resonance (NMR) in the same crystals (McDermott A, Ridenour CF, Encyclopedia of NMR, Sussex, U.K.: Wiley, 1996:3820-3825). Hydrogen bond distances were independently obtained from fractionation factors that yield distances between the two proton wells in quartic double minimum potential functions (Kreevoy MM, Liang TM, J Am Chem Soc, 1980;102:3315-3322). The high-precision hydrogen bond distances derived from their corresponding NMR-measured proton chemical shifts and fractionation factors agree well with each other and with those reported in protein X-ray structures within the larger errors (+/-0.2-0.8 A) in distances obtained by protein X-ray crystallography. The increased precision in measurements of hydrogen bond lengths by NMR has provided insight into the contributions of short, strong hydrogen bonds to catalysis for several enzymatic reactions.     

An improved hydrogen bond potential: impact on medium resolution protein structures

A new semi-empirical force field has been developed to describe hydrogen-bonding interactions with a directional component. The hydrogen bond potential supports two alternative target angles, motivated by the observation that carbonyl hydrogen bond acceptor angles have a bimodal distribution. It has been implemented as a module for a macromolecular refinement package to be combined with other force field terms in the stereochemically restrained refinement of macromolecules. The parameters for the hydrogen bond potential were optimized to best fit crystallographic data from a number of protein structures. Refinement of medium-resolution structures with this additional restraint leads to improved structure, reducing both the free R-factor and over-fitting. However, the improvement is seen only when stringent hydrogen bond selection criteria are used. These findings highlight common misconceptions about hydrogen bonding in proteins, and provide explanations for why the explicit hydrogen bonding terms of some popular force field sets are often best switched off.     

Allosteric disulfide bonds

Disulfide bonds have been generally considered to be either structural or catalytic. Structural bonds stabilize a protein, while catalytic bonds mediate thiol-disulfide interchange reactions in substrate proteins. There is emerging evidence for a third type of disulfide bond that can control protein function by triggering a conformational change when it breaks and/or forms. These bonds can be thought of as allosteric disulfides. To better define the properties of allosteric disulfides, we have analyzed the geometry and dihedral strain of 6874 unique disulfide bonds in 2776 X-ray structures. A total of 20 types of disulfide bonds were identified in the dataset based on the sign of the five chi angles that make up the bond. The known allosteric disulfides were all contained in 1 of the 20 groups, the -RHStaple bonds. This bond group has a high mean potential energy and narrow energy distribution, which is consistent with a functional role. We suggest that the -RHStaple configuration is a hallmark of allosteric disulfides. About 1 in 15 of all structurally determined disulfides is a potential allosteric bond.     

Energetics of a hydrogen bond (charged and neutral) and of a cation-pi interaction in apoflavodoxin.

Anabaena apoflavodoxin contains a single histidine residue (H34) that interacts with two aromatic residues (F7 and Y47). The histidine and phenylalanine rings are almost coplanar and they can establish a cation-pi interaction when the histidine is protonated. The histidine and tyrosine side-chains are engaged in a hydrogen bond, which is their only contact. We analyse the energetics of these interactions using p Ka-shift analysis, double-mutant cycle analysis at two pH values, and X-ray crystallography. The H/F interaction is very weak when the histidine is neutral, but it is strengthened by 0.5 kcal mol-1on histidine protonation. Supporting this fact, the histidine p Kain a F7L mutant is 0.4 pH units lower than in wild-type. The strength of the H/Y hydrogen bond is 0.7 kcal mol-1when the histidine is charged, and it becomes stronger (1.3 kcal mol-1) when the histidine is neutral. This is consistent with our observation that the (H34)Nepsilon2-OH(Y47) distance is slightly shorter in the apoflavodoxin structure at pH 9.0 than in the previously reported structure at pH 6.0. It is also consistent with a histidine p Kavalue 0.6 pH units higher in a Y47F mutant than in the wild-type protein. We suggest that the higher stability of the neutral hydrogen bond could be due to a higher desolvation penalty of the charged hydrogen bond that would offset its more favourable enthalpy of formation. The relationship between hydrogen bond strength and the contribution of hydrogen bonds to protein stability is discussed.     

Empirical solvation models in the context of conformational energy searches: application to bovine pancreatic trypsin inhibitor.

Continuum solvation models that estimate free energies of solvation as a function of solvent accessible surface area are computationally simple enough to be useful for predicting protein conformation. The behavior of three such solvation models has been examined by applying them to the minimization of the conformational energy of bovine pancreatic trypsin inhibitor. The models differ only with regard to how the constants of proportionality between free energy and surface area were derived. Each model was derived by fitting to experimentally measured equilibrium solution properties. For two models, the solution property was free energy of hydration. For the third, the property was NMR coupling constants. The purpose of this study is to determine the effect of applying these solvation models to the nonequilibrium conformations of a protein arising in the course of global searches for conformational energy minima. Two approaches were used: (1) local energy minimization of an ensemble of conformations similar to the equilibrium conformation and (2) global search trajectories using Monte Carlo plus minimization starting from a single conformation similar to the equilibrium conformation. For the two models derived from free energy measurements, it was found that both the global searches and local minimizations yielded conformations more similar to the X-ray crystallographic structures than did searches or local minimizations carried out in the absence of a solvation component of the conformational energy. The model derived from NMR coupling constants behaved similarly to the other models in the context of a global search trajectory. For one of the models derived from measured free energies of hydration, it was found that minimization of an ensemble of near-equilibrium conformations yielded a new ensemble in which the conformation most similar to the X-ray determined structure PTI4 had the lowest total free energy. Despite the simplicity of the continuum solvation models, the final conformation generated in the trajectories for each of the models exhibited some of the characteristics that have been reported for conformations obtained from molecular dynamics simulations in the presence of a bath of explicit water molecules. They have smaller root mean square (rms) deviations from the experimentally determined conformation, fewer incorrect hydrogen bonds, and slightly larger radii of gyration than do conformations derived from search trajectories carried out in the absence of solvent.     

NMR evaluation of adipocyte fatty acid binding protein (aP2) with R- and S-ibuprofen

We have examined global chemical shift perturbations for aP2 ligand complexes and compared these with amide temperature coefficients. Hydrogen bond potential was monitored by amide chemical shift's temperature coefficient. Based on this information, we propose that the binding energy contribution can be spread out to multiple distant residues. For aP2, the ability of the receptor protein to change its hydrogen bond interactions in the beta-strands to accommodate different ligand scaffolds seems to make this receptor difficult for structure based drug design. While stabilization energy differential on hydrogen bonds is likely to be small for individual residues, the accumulative effect on multiple hydrogen bonds may have a dramatic impact on ligand affinity.     

Differential stability of the triple helix of (Pro-Pro-Gly)10 in H2O and D2O: thermodynamic and structural explanations

(Pro-Pro-Gly)10 [(PPG10)], a collagen-like polypeptide, forms a triple-helical, polyproline-II structure in aqueous solution at temperatures somewhat lower than physiological, with a melting temperature of 24.5 degrees C. In this article, we present circular dichroism spectra that demonstrate an increase of the melting temperature with the addition of increasing amounts of D2O to an H2O solution of (PPG)10, with the melting temperature reaching 40 degrees C in pure D2O. A thermodynamic analysis of the data demonstrates that this result is due to an increasing enthalpy of unfolding in D2O vs. H2O. To provide a theoretical explanation for this result, we have used a model for hydration of (PPG)10 that we developed previously, in which inter-chain water bridges are formed between sterically crowded waters and peptide bond carbonyls. Energy minimizations were performed upon this model using hydrogen bond parameters for water, and altered hydrogen bond parameters that reproduced the differences in carbonyl oxygen-water oxygen distances found in small-molecule crystal structures containing oxygen-oxygen hydrogen bonds between organic molecules and H2O or D2O. It was found that using hydrogen bond parameters that reproduced the distance typical of hydrogen bonds to D2O resulted in a significant lowering of the potential energy of hydrated (PPG)10. This lowering of the energy involved energetic terms that were only indirectly related to the altered hydrogen bond parameters, and were therefore not artifactual; the intra-(PPG10) energy, plus the water-(PPG10) van der Waals energy (not including hydrogen bond interactions), were lowered enough to qualitatively account for the lower enthalpy of the triple-helical conformation, relative to the unfolded state, in D2O vs. H2O. This result indicates that the geometry of the carbonyl-D2O hydrogen bonds allows formation of good hydrogen bonds without making as much of an energetic sacrifice from other factors as in the case of hydration by H2O.     

Motions and structural variability within toxins: implication for their use as scaffolds for protein engineering

Animal toxins are small proteins built on the basis of a few disulfide bonded frameworks. Because of their high variability in sequence and biologic function, these proteins are now used as templates for protein engineering. Here we report the extensive characterization of the structure and dynamics of two toxin folds, the "three-finger" fold and the short alpha/beta scorpion fold found in snake and scorpion venoms, respectively. These two folds have a very different architecture; the short alpha/beta scorpion fold is highly compact, whereas the "three-finger" fold is a beta structure presenting large flexible loops. First, the crystal structure of the snake toxin alpha was solved at 1.8-A resolution. Then, long molecular dynamics simulations (10 ns) in water boxes of the snake toxin alpha and the scorpion charybdotoxin were performed, starting either from the crystal or the solution structure. For both proteins, the crystal structure is stabilized by more hydrogen bonds than the solution structure, and the trajectory starting from the X-ray structure is more stable than the trajectory started from the NMR structure. The trajectories started from the X-ray structure are in agreement with the experimental NMR and X-ray data about the protein dynamics. Both proteins exhibit fast motions with an amplitude correlated to their secondary structure. In contrast, slower motions are essentially only observed in toxin alpha. The regions submitted to rare motions during the simulations are those that exhibit millisecond time-scale motions. Lastly, the structural variations within each fold family are described. The localization and the amplitude of these variations suggest that the regions presenting large-scale motions should be those tolerant to large insertions or deletions.     

Energy of hydrogen bonds probed by the adhesion of functionalized lipid layers

It is now well admitted that hydrophobic interactions and hydrogen bonds are the main forces driving protein folding and stability. However, because of the complex structure of a protein, it is still difficult to separate the different energetic contributions and have a reliable estimate of the hydrogen bond part. This energy can be quantified on simpler systems such as surfaces bearing hydrogen-bonding groups. Using the surface force apparatus, we have directly measured the interaction energy between monolayers of lipids whose headgroups can establish hydrogen bonds in water: nitrilotriacetate, adenosine, thymidine, and methylated thymidine lipids. From the adhesion energy between the surfaces, we have deduced the energy of a single hydrogen bond in water. We found in each case an energy of 0.5 kcal/mol. This result is in good agreement with recent experimental and theoretical studies made on protein systems showing that intramolecular hydrogen bonds make a positive contribution to protein stabilization.     

Learning about protein hydrogen bonding by minimizing contrastive divergence

Defining the strength and geometry of hydrogen bonds in protein structures has been a challenging task since early days of structural biology. In this article, we apply a novel statistical machine learning technique, known as contrastive divergence, to efficiently estimate both the hydrogen bond strength and the geometric characteristics of strong interpeptide backbone hydrogen bonds, from a dataset of structures representing a variety of different protein folds. Despite the simplifying assumptions of the interatomic energy terms used, we determine the strength of these hydrogen bonds to be between 1.1 and 1.5 kcal/mol, in good agreement with earlier experimental estimates. The geometry of these strong backbone hydrogen bonds features an almost linear arrangement of all four atoms involved in hydrogen bond formation. We estimate that about a quarter of all hydrogen bond donors and acceptors participate in these strong interpeptide hydrogen bonds.     

Water as a hydrogen bonding bridge between a phenol and imidazole. A simple model for water binding in enzymes

The X-ray crystal structure of the mono-hydrate of 2,2-bis(imidazol-1-ylmethyl)-4-methylphenol has been determined. Three hydrogen bonds hold water very tightly in the crystal, as determined by deuterium solid-state NMR. The hydrogen bond between the phenolic hydroxyl and water appears to have about the same strength as the direct hydrogen bond to imidazole, suggesting that the structure can be a good model for hydrogen bonds that are mediated by a water molecule in enzymes.