A 175-psec molecular dynamics simulation of camphor-bound cytochrome P-450cam.

The structure and internal motions of cytochrome P-450cam, a monooxygenase heme enzyme with 414 amino acid residues, with camphor bound at the active site have been evaluated on the basis of a 175-psec molecular dynamics simulation carried out at 300 K. All hydrogen atoms were explicitly modeled, and 204 crystallographic waters were included in the simulation. Based on an analysis of the time course of the trajectory versus potential energy, root mean square deviation, radius of gyration, and hydrogen bonding, the simulation was judged to be stable and representative of the average experimental structure. The averaged structural properties of the enzyme were evaluated from the final 135 psec of the simulation. The average atomic displacement from the X-ray structure was 1.39 A for all heavy atoms and 1.17 A for just C-alpha atoms. The average root-mean-square (rms) fluctuations of all heavy atoms and backbone atoms were 0.42 and 0.37 A, respectively. The computed rms fluctuations were in reasonable agreement with the experimentally determined temperature factors. All 13 segments of alpha-helix and 5 segments of beta-sheet were well preserved with the exception of the N-terminal half of helix F which alternated between an alpha-helix and a 310-helix. In addition there were in general only small variations in the relative orientation of adjacent alpha-helices. The rms fluctuations of the backbone dihedral angles in the secondary structure elements were almost uniformly smaller, with the fluctuation in alpha-helices and beta-sheets, 31 and 10% less, respectively, than those in nonsecondary structure regions. The reported crystal structure contains kinks in both helices C and I. In the simulation, both of these regions showed high mobility and large deviations from their starting positions. Since the kink in the I helix is at the oxygen binding site, these motions may have mechanistic implications.     

Anisotropy and anharmonicity of atomic fluctuations in proteins: analysis of a molecular dynamics simulation

Positional probability density functions (pdf) for the atomic fluctuations are determined from a molecular dynamics simulation for hen egg-white lysozyme. Most atoms are found to have motions that are highly anisotropic but only slightly anharmonic. The largest deviations from harmonic motion are in the direction of the largest rms fluctuations in the local principal axis frame. Backbone atoms tend to be more nearly harmonic than sidechain atoms. The atoms with the largest anharmonicities tend to have pdfs with multiple peaks, each of which is close to harmonic. Several model pdfs are evaluated on the basis of how well they fit probability densities from the dynamics simulations when parameterized in terms of the moments of the distribution. Gram-Charlier and Edgeworth perturbation expansions, which have been successful in describing the motions of small molecules in crystals, are shown to be inadequate for the distributions found in the dynamics of proteins. Multipeaked distribution functions are found to be more appropriate.     

Relation between hen egg white lysozyme and bacteriophage T4 lysozyme: Evolutionary implications

Hen egg white lysozyme and T4 bacteriophage lysozyme have the same catalytic function, but have non-homologous amino acid sequences. Notwithstanding the differences in their primary structures, the two lysozymes have similarities in their overall backbone conformations, in their modes of binding substrates and probably in their mechanisms of action.By different criteria, the similarity between the folding of the two enzymes can be shown to be statistically significant. Also the transformation which optimizes the agreement between the backbones of the two molecules is shown to accurately align their active site clefts, so that saccharide units bound in the A, B, C and D subsites of hen egg white lysozyme coincide within 1 to 2 Å with analogous saccharides bound to phage lysozyme. Furthermore, a number of the specific interactions between enzyme and substrate which were observed for hen egg white lysozyme, and thought to be important for catalysis, are found to occur in a structurally analogous way in the phage enzyme. Fifty-four atoms from the respective active sites which appear to be equivalent, including saccharides bound in the B and C sites, superimpose with a root-mean-square discrepancy of 1.35 Å.These structural and functional similarities suggest that the two lysozymes have arisen by divergent evolution from a common precursor. This is the first case in which two proteins of completely different amino acid sequence have been shown, with high probability, to have evolved by divergent rather than convergent evolution.     

Investigation of Domain Motions in Bacteriophage T4 Lysozyme

Abstract

Hinge-bending in T4 lysozyme has been inferred from single amino acid mutant crystalline allomorphs by Matthews and coworkers. This raises an important question: are the different conformers in the unit cell artifacts of crystal packing forces, or do they represent different solution state structures? The objective of this theoretical study is to determine whether domain motions and hinge-bending could be simulated in T4 lysozyme using molecular dynamics. An analysis of a 400 ps molecular dynamics simulation of the 164 amino acid enzyme T4 lysozyme is presented. Molecular dynamics calculations were computed using the Discover software package (Biosym Technologies). All hydrogen atoms were modeled explicitly with the inclusion of all 152 crystallographic waters at a temperature of 300 K. The native T4 lysozyme molecular dynamics simulation demonstrated hinge-bending in the protein. Relative domain motions between the N-terminal and C-terminal domains were evident. The enzyme hinge bending sites resulted from small changes in backbone atom conformations over several residues rather than rotation about a single bound. Two hinge loci were found in the simulation. One locus comprises residues 8–14 near the C-terminal of the A helix; the other site, residues 77–83 near the C-terminal of the C helix. Comparison of several snapshot structures from the dynamics trajectory clearly illustrates domain motions between the two lysozyme lobes. Time correlated atomic motions in the protein were analyzed using a dynamical cross-correlation map. We found a high degree of correlated atomic motions in each of the domains and, to a lesser extent, anticorrelated motions between the two domains. We also found that the hairpin loop in the N-terminal lobe (residues 19–24) acted as a mobile ‘flap’ and exhibited highly correlated dynamic motions across the cleft of the active site, especially with residue 142.     

A molecular dynamics analysis of protein structural elements

The relation between protein secondary structure and internal motions was examined by using molecular dynamics to calculate positional fluctuations of individual helix, beta-sheet, and loop structural elements in free and substrate-bound hen egg-white lysozyme. The time development of the fluctuations revealed a general correspondence between structure and dynamics; the fluctuations of the helices and beta-sheets converged within the 101 psec period of the simulation and were lower than average in magnitude, while the fluctuations of the loop regions were not converged and were mostly larger than average in magnitude. Notable exceptions to this pattern occurred in the substrate-bound simulation. A loop region (residues 101-107) of the active site cleft had significantly reduced motion due to interactions with the substrate. Moreover, part of a loop and a 3(10) helix (residues of 67-88) not in contact with the substrate showed a marked increase in fluctuations. That these differences in dynamics of free and substrate-bound lysozyme did not result simply from sampling errors was established by an analysis of the variations in the fluctuations of the two halves of the 101 psec simulation of free lysozyme. Concerted transitions of four to five mainchain phi and psi angles between dihedral wells were shown to be responsible for large coordinate shifts in the loops. These transitions displaced six or fewer residues and took place either abruptly, in 1 psec or less, or with a diffusive character over 5-10 psec. Displacements of rigid secondary structures involved longer timescale motions in bound lysozyme; a 0.5 A rms change in the position of a helix occurred over the 55 psec simulation period. This helix reorientation within the protein appears to be a response to substrate binding. There was little correlation between the solvent accessible surface area and the dynamics of the different structural elements.     

Solvent effects on protein motion and protein effects on solvent motion. Dynamics of the active site region of lysozyme

The stochastic boundary molecular dynamics methodology is applied to the active site of the enzyme lysozyme. A comparison is made of in vacuo dynamics results from the stochastic boundary method and a full conventional molecular dynamics simulation of lysozyme. Excellent agreement between the two approaches is obtained. The influence of solvent on the residues in the active site region is explored and it is shown that both the structure and dynamics are affected. Of particular importance for the structure of the protein is the solvation of polar residues and the stabilization of like-charged ion pairs. The magnitude of the fluctuations is only slightly altered by the solvent; the overall increase in the root-mean-square fluctuations, relative to the vacuum run, is 11%. The solvent effect on dynamical properties is found not to be simply related to the solvent viscosity. Both the solvent exposure and dynamic aspects of protein-solvent interactions, including the relative time scales of the motions, are shown to play a role. The effects of the protein on solvent dynamics and structure are also observed to be significant. The solvent molecules around atoms in charged, polar and apolar side-chains show markedly different diffusion coefficients as well as exhibiting different solvation structures. One key example is the water around apolar groups, which is much less mobile than bulk water, or water solvating polar groups.     

Protein conformational dynamics of crambin in crystal, solution and in the trajectories of molecular dynamics simulations

Atomic displacement parameters — B factors of the eight crambin crystal structures obtained at 0.54–1.5 Å resolution and temperatures of 100–293 K have been analyzed. The comparable contributions to the B factor values are the intramolecular motions which are modeled by the harmonic vibration calculations and derived from the molecular dynamics simulation (MD) as well as rigid body changes in the position of a protein molecule as a whole. In solution for the average NMR structure of crambin the amplitudes of the backbone atomic fluctuations of the most residues of the segments with the regular backbone conformations are close to the amplitudes of the small scale harmonic vibrations. For the same residues the probability of the medium scale fluctuations fixed by the hydrogen exchange method is very low. The restricted conformational mobility of those segments is coupled with the depressed amplitudes of the fluctuation changes of the tertiary structure registered by the residue accessibility changes in an ensemble of NMR structures that forms the average NMR structure of crambin. The amplitudes of temperature fluctuations of backbone atoms and the tertiary structure raise in the segment with the irregular conformations, turn and loops. In the same segments the amplitudes of the calculated harmonic vibrations also increase, but to a lesser extent and especially in the interhelical loop with the most strong and complicated fluctuation changes of the backbone conformation. In solution for the NMR structure in this loop the conformational transitions occur between the conformational substates separated by the energy barriers, but they are not observed even in the long 100 ns trajectories from the MD simulation of crambin. These strong local fluctuation changes of the structure may play a key role in the protein functioning and modern performance improvements in the MD simulation techniques are oriented to increase the probability of protein appearance in the trajectories from the MD simulations.     

Protein conformational landscapes: Energy minimization and clustering of a long molecular dynamics trajectory

Using energy minimization and cluster analysis, we have analyzed a 1020 ps molecular dynamics trajectory of solvated bovine pancreatic trypsin inhibitor. Elucidation of conformational sub states in this way both illustrates the degree of conformational convergence in the simulation and reduces the structural data to a tractable subset. The relative movement of structures upon energy minimization was used to estimate the sizes of features on the protein potential energy surface. The structures were analyzed using their pairwise root-mean-square C_α deviations, which gave a global measure of conformational changes that would not be apparent by monitoring single degrees of freedom. At time scales of 0.1 ps, energy minimization detected sharp transitions between energy minima separated by 0.1 Å rms deviation. Larger conformational clusters containing these smaller minima and separated by 0.25 Å were seen at 1 ps time scales. Both of these small features of the conformational landscape were characterized by movements in loop regions associated with small, correlated backbone dihedral angle shifts. On a nanosecond time scale, the main features of the protein energy landscape were clusters separated by over 0.7 Å rms deviation, with only seven of these sub states visited over the 1 ns trajectory. These substates, discernible both before and after energy minimization, differ mainly in a monotonic pivot of the loop residues 11–18 over the course of the simulation. This loop contains lysine 17, which specifically binds to trypsin in the active site. The trajectory did not return to previously visited clusters, indicating that this trajectory has not been shown to have completely sampled the conformational substates available to it. Because the apparent convergence to a single region of conformation space depends on both the time scale of observation and the size of the conformational features examined, convergence must be operationally defined within the context of the simulation. © 1995 Wiley-Liss, Inc.     

A molecular dynamics simulation of bacteriophage T4 lysozyme.

An analysis of a 400 ps molecular dynamics simulation of the 164 amino acid enzyme T4 lysozyme is presented. The simulation was carried out with all hydrogen atoms modeled explicitly, the inclusion of all 152 crystallographic waters and at a temperature of 300 K. Temporal analysis of the trajectory versus energy, hydrogen bond stability, r.m.s. deviation from the starting crystal structure and radius of gyration, demonstrates that the simulation was both stable and representative of the average experimental structure. Average structural properties were calculated from the enzyme trajectory and compared with the crystal structure. The mean value of the C alpha displacements of the average simulated structure from the X-ray structure was 1.1 +/- 0.1 A; differences of the backbone phi and psi angles between the average simulated structure and the crystal structure were also examined. Thermal-B factors were calculated from the simulation for heavy and backbone atoms and both were in good agreement with experimental values. Relationships between protein secondary structure elements and internal motions were studied by examining the positional fluctuations of individual helix, sheet and turn structures. The structural integrity in the secondary structure units was preserved throughout the simulation; however, the A helix did show some unusually high atomic fluctuations. The largest backbone atom r.m.s. fluctuations were found in non-secondary structure regions; similar results were observed for r.m.s. fluctuations of non-secondary structure phi and psi angles. In general, the calculated values of r.m.s. fluctuations were quite small for the secondary structure elements. In contrast, surface loops and turns exhibited much larger values, being able to sample larger regions of conformational space. The C alpha difference distance matrix and super-positioning analyses comparing the X-ray structure with the average dynamics structure suggest that a 'hinge-bending' motion occurs between the N- and C-terminal domains.     

Folding of Globular Proteins by Energy Minimization and Monte Carlo Simulations with Hydrophobic Surface Area Potentials

We describe an efficient method to calculate analytically the solvent accessible surface areas and their gradients in proteins for empirical force field calculations on serial and parallel computers. In an application to the small three helix bundle protein Er-10, energy minimizations and Monte Carlo simulations were performed with the empirical ECEPP/2 force field, which was extended by a protein solvent interaction term. We show that the NMR structure is stable when refined with the force field including the protein solvent interaction term, but large structural deviations are observed in energy minimization in vacuo. When we started from random structures with preformed helices and maintained the helical segments by dihedral angle constraints, the final structures with the lowest energies resembled the native form. The root-mean-square deviations for the backbone atoms of the three helices compared to the experimentally determined structure was 3 Å to 4 Å.     

Long-term molecular dynamics simulation of copper plastocyanin in water

A long molecular dynamics simulation (1.1 ns) of fully hydrated plastocyanin has been performed and analysed to relate protein dynamics to structural elements and functional properties. The solvated structure is described in detail by the analysis of H-bond network. During all the simulation, the crystal H-bond network is maintained in the beta-sheet regions, while several H-bonds are broken or formed on the external surface of the protein. To evaluate whether such changes could be due to conformational rearrangements or to solvent competition, we have examined the average number of H-bonds between protein atoms and water molecules, and the root mean square deviations from crystal structure as a function of protein residues. Protein mobility and flexibility have been examined by positional and dihedral angle rms fluctuations. Finally, cross-correlation maps have revealed the existence of correlated motions among residues connected by hydrogen bonds.     

Direct nuclear Overhauser effect refinement of crambin from two-dimensional nmr data using a slow-cooling annealing protocol

The solution structure of crambin has been refined using a direct nuclear Overhauser effect (NOE) simulation approach (DINOSAUR) following a slow-cooling simulated annealing protocol starting from eight previously obtained nmr and the x-ray structures of crambin. Theoretical NOE intensities calculated with inclusion of local motions were directly compared to the experimental nmr data and forces were derived using a simple first-order approximation for the calculation of the NOE gradient. A dynamic assignment procedure was applied for the peaks involving unassigned diastereotopic proton pairs or equivalent aromatic protons. With this approach, R factors could be minimized in a reasonable simulation time to low values (around 0.26) while deviations from ideal bond lengths and angles are still acceptable. The improvement in R factors is accompanied by an improvement of the precision of the structures, the rms deviations (rmsd; from the average) calculated on the ensemble of nine structures decreasing from 0.65 to 0.55 Å for backbone atoms and from 1.0 to 0.85 Å for all heavy atoms. The solution structure is significantly different from the x-ray structure with rmsd for all atoms of 1.35 Å compared to 0.85 Å between solution structures. The largest differences are found for residues Thr-21 and Pro-22 in the loop region between the two α-helices and for the side chain of Tyr-29. © 1994 John Wiley & Sons, Inc.     

Dramatic differences in the motions of the mouth of open and closed cytochrome P450BM-3 by molecular dynamics simulations

Molecular dynamics trajectories were calculated separately for each of the two molecules in the asymmetric unit of the crystal structure of the hemoprotein domain of cytochrome P450BM-3. Each simulation was 200 ps in length and included a 10 Å layer of explicit solvent. The simulated time-average structure of each P450BM-3 molecule is closer to its crystal structure than the two molecular dynamics time-averaged structures are to each other. In the crystal structure, molecule 2 has a more accessible substrate binding pocket than molecule 1, and this difference is maintained throughout the simulations presented here. In particular, the substrate docking regions of molecule 1 and molecule 2 diverge in the solution state simulations. The mouth of the substrate binding pocket is significantly more mobile in the simulation of molecule 2 than in the simulation of molecule 1. For molecule 1, the width of the mouth is only slightly larger than its X-ray value of 8.7 Å and undergoes fluctuations of about 1 Å. However, in molecule 2, the mouth of the substrate binding pocket is dramatically more open in the time-average molecular dynamics structure (14.7 Å) than in the X-ray structure (10.9 Å). Furthermore, this region of the protein undergoes large amplitude motions during the trajectory that are not seen in the trajectory of molecule 1, repeatedly opening and closing up to 7 Å. Presumably, the binding of different substrates will induce the mouth region to adopt different conformations from within the wide range of structures that are accessible. © 1995 Wiley-Liss, Inc.     

Molecular dynamics simulations to determine the effect of supercritical carbon dioxide on the structural integrity of hen egg white lysozyme

In this study, various molecular dynamics simulations were conducted to investigate the effect of supercritical carbon dioxide on the structural integrity of hen egg white lysozyme. The analyses of backbone root-mean-square deviation, radius of gyration, and secondary structure stability all show that supercritical CO(2) exhibits the ability to increase the stability of this protein, probably as a result of the solvent with less polarity, where hydrophobic interactions stabilizing the native structure are weakened and simultaneously the local hydrogen bonds are strengthened, resulting in stabilization of the secondary structures. The hydrophobic cores in the alpha- and beta-domains also play an important role in preventing this protein from thermal unfolding. As supercritical CO(2) has been attractive for biomedical applications because of the advantages of mild critical condition, nonflammability, nontoxity, and the purity of the resulting products, the structural stabilizing effect found in this study strongly suggests that it is possible to increase the thermostability of hen egg white lysozyme by pretreatment with supercritical CO(2), leading to better industrial applications of this protein.     

Importance of the CMAP correction to the CHARMM22 protein force field: dynamics of hen lysozyme

The recently developed CMAP correction to the CHARMM22 force field (C22) is evaluated from 25 ns molecular dynamics simulations on hen lysozyme. Substantial deviations from experimental backbone root mean-square fluctuations and N-H NMR order parameters obtained in the C22 trajectories (especially in the loops) are eliminated by the CMAP correction. Thus, the C22/CMAP force field yields improved dynamical and structural properties of proteins in molecular dynamics simulations.     

Molecular Modeling of Proteins: A Strategy for Energy Minimization by Molecular Mechanics in the AMBER Force Field

Abstract

Energy minimization is an important step in molecular modeling of proteins. In this study, we sought to develop a minimization strategy which would give the best final structures with the shortest computer time in the AMBER force field. In the all-atom model, we performed energy minimization of the melittin (mostly α-helical) and cardiotoxin (mostly β-sheet and β-turns) crystal structures by both constrained and unconstrained pathways. In the constrained path, which has been recommended in the energy minimization of proteins, hydrogens were relaxed first, followed by the side chains of amino acid residues, and finally the whole molecule. Despite the logic of this approach, however, the structures minimized by the unconstrained path fit the experimental structures better than those minimized by constrained paths. Moreover, the unconstrained path saved considerable computer time. We also compared the effects of the steepest descents and conjugate gradients algorithms in energy minimization. Previously, steepest descents has been used in the initial stages of minimization and conjugate gradients in the final stages of minimization. We therefore studied the effect on the final structure of performing an initial minimization by steepest descents. The structures minimized by conjugate gradients alone resembled the structures minimized initially by the steepest descents and subsequently by the conjugate gradients algorithms. Thus an initial minimization using steepest descents is wasteful and unnecessary, especially when starting from the crystal structure. Based on these results, we propose the use of an unconstrained path and conjugate gradients for energy minimization of proteins. This procedure results in low energy structures closer to the experimental structures, and saves about 70–80% of computer time. This procedure was applied in building models of lysozyme mutants. The crystal structure of native T₄ lysozyme was mutated to three different mutants and the structures were minimized. The minimized structures closely fit the crystal structures of the respective mutants (< 0.3 Å root-mean-square, RMS, deviation in the position of all heavy atoms). These results confirm the efficiency of the proposed minimization strategy in modeling closely related homologs. To determine the reliability of the united atom approximation, we also performed all of the above minimizations with united atom models. This approximation gave structures with similar but slightly higher RMS deviations than the all-atom model, but gave further savings of60-70% in computer time. However, we feel further investigation is essential to determine the reliability of this approximation. Finally, to determine the limitation of the procedure, we built the melittin molecule interactively in an α-helical conformation and this model showed an RMS deviation greater than 2.8 Å when compared to the melittin crystal structure. This model was minimized by various strategies. None of the minimized structures converged towards the crystal structure. Thus, although the proposed method seems to give valid structures starting from closely related crystal structures, it cannot predict the native structure when the starting structure is far from the native structure. From these results, we recommend the use of the proposed strategy of minimizing by an unconstrained path using the conjugate gradients algorithm, but only for modeling of closely related structural homologs of proteins.     

Three-dimensional solution structure of an insulin dimer. A study of the B9(Asp) mutant of human insulin using nuclear magnetic resonance, distance geometry and restrained molecular dynamics.

The solution structure of the B9(Asp) mutant of human insulin has been determined by two-dimensional 1H nuclear magnetic resonance spectroscopy. Thirty structures were calculated by distance geometry from 451 interproton distance restraints based on intra-residue, sequential and long-range nuclear Overhauser enhancement data, 17 restraints on phi torsional angles obtained from 3JH alpha HN coupling constants, and the restraints from 17 hydrogen bonds, and the three disulphide bridges. The distance geometry structures were optimized using restrained molecular dynamics (RMD) and energy minimization. The average root-mean-square deviation for the best 20 RMD refined structures is 2.26 A for the backbone and 3.14 A for all atoms if the less well-defined N and C-terminal residues are excluded. The helical regions are better defined, with root-mean-square deviation values of 1.11 A for the backbone and 2.03 A for all atoms. The data analysis and the calculations show that B9(Asp) insulin, in water solution at the applied pH (1.8 to 1.9), is a well-defined dimer with no detectable difference between the two monomers. The association of the two monomers in the solution dimer is relatively loose as compared with the crystal dimer. The overall secondary and tertiary structures of the monomers in the 2Zn crystal hexamer is found to be preserved. The conformation-averaged NMR structures obtained for the monomer is close to the structure of molecule 1 in the hexamer of the 2Zn insulin crystal. However, minor, but significant deviations from this structure, as well as from the structure of monomeric insulin in solution, exist and are ascribed to the absence of the hexamer and crystal packing forces, and to the presence of monomer-monomer interactions, respectively. Thus, the monomer in the solution dimer shows a conformation similar to that of the crystal monomer in molecular regions close to the monomer-monomer interface, whereas it assumes a conformation similar to that of the solution structure of monomeric insulin in other regions, suggesting that B9(Asp) insulin adopts a monomer-like conformation when this is not inconsistent with the monomer-monomer arrangement in the dimer.     

Analysis of the internal motion of free and ligand-bound human lysozyme by use of 15N NMR relaxation measurement: a comparison with those of hen lysozyme

Human lysozyme has a structure similar to that of hen lysozyme and differs in amino acid sequence by 51 out of 129 residues with one insertion at the position between 47 and 48 in hen lysozyme. The backbone dynamics of free or (NAG)3-bound human lysozyme has been determined by measurements of 15N nuclear relaxation. The relaxation data were analyzed using the Lipari-Szabo formalism and were compared with those of hen lysozyme, which was already reported (Mine S et al.. 1999, J Mol Biol 286:1547-1565). In this paper, it was found that the backbone dynamics of free human and hen lysozymes showed very similar behavior except for some residues, indicating that the difference in amino acid sequence did not affect the behavior of entire backbone dynamics, but the folded pattern was the major determinant of the internal motion of lysozymes. On the other hand, it was also found that the number of residues in (NAG)3-bound human and hen lysozymes showed an increase or decrease in the order parameters at or near active sites on the binding of (NAG)3, indicating the increase in picosecond to nanosecond. These results suggested that the immobilization of residues upon binding (NAG)3 resulted in an entropy penalty and that this penalty was compensated by mobilizing other residues. However, compared with the internal motions between both ligand-bound human and hen lysozymes, differences in dynamic behavior between them were found at substrate binding sites, reflecting a subtle difference in the substrate-binding mode or efficiency of activity between them.     

Crystallographic study of turkey egg-white lysozyme and its complex with a disaccharide

The crystal structure of turkey egg-white lysozyme, determined by the molecular replacement method at 5 Å resolution (Bott & Sarma, 1976) has now been refined to 2.8 Å resolution and a model has been built to fit the electron density. A comparison of the co-ordinates with those of hen lysozyme indicate a rootmean-square deviation of 1.6 Å for all the main-chain and side-chain atoms. A significant difference is observed in the region of residues 98 to 115 of the structure. The molecules are packed in this crystal form with the entire length of the active cleft positioned in the vicinity of the crystallographic 6-fold axis and is not blocked by neighboring molecules. A difference electron density map calculated between crystals of turkey lysozyme soaked in a disaccharide of N-acetyl glucosamine—N-acetyl muramic acid and the native crystals showed a strong positive peak at subsite C, a weak positive peak at subsite D and two strong peaks that correspond to the subsite E and a new subsite F′. This new site F′ is different from the subsite F predicted for the sixth saccharide from model building in hen lysozyme. The interactions between the saccharides bound at subsites E and F′ and the enzyme molecules are discussed.     

“Ensemble” iterative relaxation matrix approach: A new NMR refinement protocol applied to the solution structure of crambin

The structure in solution of crambin, a small protein of 46 residues, has been determined from 2D NMR data using an iterative relaxation matrix approach (IRMA) together with distance geometry, distance bound driven dynamics, molecular dynamics, and energy minimization. A new protocol based on an “ensemble” approach is proposed and compared to the more standard initial rate analysis approach and a “single structure” relaxation matrix approach. The effects of fast local motions are included and R-factor calculations are performed on NOE build-ups to describe the quality of agreement between theory and experiment. A new method for stereospecific assignment of prochiral groups, based on a comparison of theoretical and experimental NOE intensities, has been applied. The solution structure of crambin could be determined with a precision (rmsd from the average structure) of 0.7 Å on backbone atoms and 1.1 Å on all heavy atoms and is largely similar to the crystal structure with a small difference observed in the position of the side chain of Tyr-29 which is determined in solution by both J-coupling and NOE data. Regions of higher structural variability (suggesting higher mobility) are found hi the solution structure, in particular for the loop between the two helices (Gly-20 to Pro-22). © 1993 Wiley-Liss, Inc.