What is the average conformation of bacteriophage T4 lysozyme in solution? A domain orientation study using dipolar couplings measured by solution NMR

Lysozyme from T4 bacteriophage is comprised of two domains that are both involved in binding substrate. Although wild-type lysozyme has been exclusively crystallized in a closed form that is similar to the peptidoglycan-bound conformation, a more open structure is thought to be required for ligand binding. To determine the relative arrangement of domains within T4 lysozyme in the solution state, dipolar couplings were measured in several different dilute liquid crystalline media by solution NMR methods. The dipolar coupling data were analyzed with a domain orientation procedure described previously that utilizes high- resolution X-ray structures. The cleft between the domains is significantly larger in the average solution structure than what is observed in the X-ray structure of the ligand-free form of the protein (approximately 17 degrees closure from solution to X-ray structures). A comparison of the solution domain orientation with X-ray-derived structures in the protein data base shows that the solution structure resembles a crystal structure obtained for the M6I mutant. Dipolar couplings were also measured on the lysozyme mutant T21C/T142C, which was oxidized to form an inter-domain disulfide bond (T4SS). In this case, the inter-domain solution structure was found to be more closed than was observed in the crystal (approximately 11 degrees). Direct refinement of lysozyme crystal structures with the measured dipolar couplings using the program CNS, establishes that this degree of closure can be accommodated whilst maintaining the inter-domain cystine bond. The differences between the average solution conformations obtained using dipolar couplings and the crystal conformations for both forms of lysozyme investigated in this study illustrate the impact that crystal packing interactions can have on the arrangement of domains within proteins and the importance of alternative methods to X-ray crystallography for evaluating inter-domain structure.     

Molecular dynamics simulations of DNA and a protein-DNA complex including solvent

The results of a recent nanosecond (ns) molecular dynamics (MD) simulation of the d(CGCGAATTCGCG) double helix in water and a 100 ps MD study of the repressor-operator complex are described. The DNA simulations are analyzed in terms of the structural dynamics, fluctuations in the groove width and bending of the helical axis. The results indicate that the ns dynamical trajectory progresses through a series of three substates of B form DNA, with lifetimes of the order of hundreds of picoseconds (ps). An incipient dynamical equilibrium is evident. A comparison of the calculated axis bending with that observed in corresponding crystal structure data is presented. Simulation of the DNA in complex with the protein and that of the free DNA in solution, starting from the crystal conformation, reveal the dynamical changes that occur on complex formation.     

A simulation investigation on interaction mechanism between Ebola nucleoprotein and VP35 peptide

Ebola viruses (EBOV) will induce acute hemorrhagic fever, which is fatal to humans and nonhuman primates. The combination of EBOV VP35 peptide with nucleoprotein N-terminal (NPNTD) is proposed based on static crystal structures in recent studies, but VP35 binding mechanism and conformational dynamics are still unclear. This investigation, using Molecular Dynamic (MD) simulation and Molecular Mechanics Generalized Born Surface Area (MM-GB/SA) energy calculation, more convincingly proves the greater roles of the protein binding mechanisms than do hints from the static crystal structure observations. Conformational analysis of the systems demonstrate that combination with VP35 may lead to the conformational transition of NPNTD from “open” to “closed” state. According to the analyses of binding free energies and their decomposition, VP35 residue R37 plays a crucial role in wild type as well as mutant systems. Mutations of I29 and L33 to aspartate as well as M34 to proline affect binding affinity mainly through influencing electrostatic interaction, which is closely related to H-bonds formation. In addition, mutations mainly affect β-hairpin and loop regions, among which, M34P may have the greatest influence to the binding. This study may provide specific binding mechanisms between VP35 peptide and NPNTD, especially some important residues concerning binding.     

Conformational sampling by NMR solution structures calculated with the program DIANA evaluated by comparison with long-time molecular dynamics calculations in explicit water

The NMR solution structure of bovine pancreatic trypsin inhibitor (BPTI) obtained by distance geometry calculations with the program DIANA is compared with groups of conformers generated by molecular dynamics (MD) simulations in explicit water at ambient temperature and pressure. The MD simulations started from a single conformer and were free or restrained either by the experimental NOE distance restraints or by time-averaged restraints; the groups of conformers were collected either in 10 ps intervals during 200 ps periods of simulation, or in 50 ps intervals during a 1 ns period of simulation. Overall, these comparisons show that the standard protein structure determination protocol with the program DIANA provides a picture of the protein structure that is in agreement with MD simulations using “realistic” potential functions over a nanosecond timescale. For well-constrained molecular regions there is a trend in the free MD simulation of duration 1 ns that the sampling of the conformation space is slightly increased relative to the DIANA calculations. In contrast, for surface-exposed side-chains that are less extensively constrained by the NMR data, the DIANA conformers tend to sample larger regions of conformational space than conformers selected from any of the MD trajectories. Additional insights into the behavior of surface side-chains come from comparison of the MD runs of 200 ps or 1 ns duration. In this time range the sampling of conformation space by the protein surface depends strongly on the length of the simulation, which indicates that significant side-chain transitions occur on the nanosecond timescale and that much longer simulations will be needed to obtain statistically significant data on side-chain dynamics.     

Brownian and Essential Dynamics Studies of the HIV-1 Integrase Catalytic Domain

Abstract

The three-dimensional structure of the active site region of the enzyme HIV-1 integrase is not unambiguously known. This region includes a flexible peptide loop that cannot be well resolved in crystallographic determinations. Here we present two different computional approaches with different levels of resolution and on different time-scales to understand this flexibility and to analyze the dynamics of this part of the protein. We have used molecular dynamics simulations with an atomic model to simulate the region in a realistic and reliable way for 1 ns. It is found that parts of the loop wind up after 300 ps to extend an existing helix. This indicates that the helix is longer than in the earlier crystal structures that were used as basis for this study. Very recent crystal data confirms this finding, underlining the predictive value of accurate MD simulations. Essential dynamics analysis of the MD trajectory yields an anharmonic motion of this loop. We have supplemented the MD data with a much lower resolution Brownian dynamics simulation of 600 ns length. It provides ideas about the slow-motion dynamics of the loop. It is found that the loop explores a conformational space much larger than in the MD trajectory, leading to a “gating”-like motion with respect to the active site.     

Investigation by MD simulation of the key residues related to substrate-binding and heme-release in human ferrochelatase

Molecular dynamics (MD) simulations of three models based on the crystal structure of the E343K variant of human ferrochelatase were performed in this study. The “open” and “closed” conformations of the enzyme obtained by simulations are in agreement with the corresponding crystal structures. The snapshots and the structure analysis indicate that alterations of the hydrogen bonds and the positions of E347 and E351 lead to a conformational change in the π-helix. The hydrogen bonded form of residue R164 could be regarded as a signal indicating alteration of the active site conformation. When R164 forms a hydrogen bond with D95, the active site is closed, and when a hydrogen bond is formed with E171, the active site is open. Interestingly, the protoporphyrin with Fe²⁺ is observed to move noticeably out of the enzyme while the protoporphyrin lacking Fe²⁺ remains almost fixed. Alterations of the hydrogen bonds between the propionate of the heme and R115, K118 and S303 trigger movement of the heme out of the active site. Residues E347 and E351, which are located on the π-helix and form an acidic path leading to a salt bridge interaction with the propionate of the heme, accelerate the release process.     

Computational studies on mutant protein stability: The correlation between surface thermal expansion and protein stability

Thermal stability of mutant proteins has been investigated using temperature dependent molecular dynamics (MD) simulations in vacuo. The numerical modeling was aimed at mimicking protein expansion upon heating. After the conditions for an expanding protein accessible surface area were established for T4 lysozyme and barnase wild-type proteins, MD simulations were carried out under the same conditions using the crystal structures of several mutant proteins. The computed thermal expansion of the accessible surface area of mutant proteins was found to be strongly correlated with their experimentally measured stabilities. A similar, albeit weaker, correlation was observed for model mutant proteins. This opens the possibility of obtaining stability information directly from protein structure.     

On the similarity of properties in solution or in the crystalline state: A molecular dynamics study of hen lysozyme

As protein crystals generally possess a high water content, it is assumed that the behaviour of a protein in solution and in crystal environment is very similar. This assumption can be investigated by molecular dynamics (MD) simulation of proteins in the different environments. Two 2ns simulations of hen egg white lysozyme (HEWL) in crystal and solution environment are compared to one another and to experimental data derived from both X-ray and NMR experiments, such as crystallographic B-factors, NOE atom–atom distance bounds, ³J_{H N}-coupling constants, and ¹H-¹⁵N bond vector order parameters. Both MD simulations give very similar results. The crystal simulation reproduces X-ray and NMR data slightly better than the solution simulation.     

Structure and internal mobility of proteins: a molecular dynamics study of hen egg white lysozyme

The structure and internal motions of the protein hen egg white lysozyme are studied by analysis of simulation and experimental data. A molecular dynamics simulation and an energy minimization of the protein in vacuum have been made and the results compared with high-resolution structures and temperature factors of hen egg white lysozyme in two different crystal forms and of the homologous protein human lysozyme. The structures obtained from molecular dynamics and energy minimization have root-mean-square deviations for backbone atoms of 2.3 Å and 1.1–1.3 Å, respectively, relative to the crystal structures; the different crystal structures have root-mean-square deviations of 0.73–0.81 Å for the backbone atoms. In comparing the backbone dihedral angles, the difference between the dynamics and the crystal structure on which it is based is the same as that between any two crystal structures. The internal fluctuations of atomic positions calculated from the molecular dynamics trajectory agree well with the temperature factors from the three structures. Simulation and crystal results both show that there are large motions for residues involved in exposed turns of the backbone chain, relatively smaller motions for residues involved in the middle of helices or β-sheet structures, and relatively small motions of residues near disulfide bridges. Also, both the simulation and crystal data show that side-chain atoms have larger fluctuations than main-chain atoms. Moreover, the regions that have large deviations among the x-ray crystal structures, which indicates flexibility, are found to have large fluctuations in the simulation.     

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.     

Accuracy and precision of NMR relaxation experiments and MD simulations for characterizing protein dynamics

Model-free parameters obtained from nuclear magnetic resonance (NMR) relaxation experiments and molecular dynamics (MD) simulations commonly are used to describe the intramolecular dynamical properties of proteins. To assess the relative accuracy and precision of experimental and simulated model-free parameters, three independent data sets derived from backbone ¹⁵N NMR relaxation experiments and two independent data sets derived from MD simulations of Escherichia coli ribonuclease HI are compared. The widths of the distributions of the differences between the order parameters for pairs of NMR data sets are congruent with the uncertainties derived from statistical analyses of individual data sets; thus, current protocols for analyzing NMR data encapsulate random uncertainties appropriately. Large differences in order parameters for certain residues are attributed to systematic differences between samples for intralaboratory comparisons and unknown, possibly magnetic field-dependent, experimental effects for interlaboratory comparisons. The widths of distributions of the differences between the order parameters for two NMR sets are similar to widths of distributions for an NMR and an MD set or for two MD sets. The linear correlations between the order parameters for an MD set and an NMR set are within the range of correlations observed between pairs of NMR sets. These comparisons suggest that the NMR and MD generalized order parameters for the backbone amide N—H bond vectors are of comparable accuracy for residues exhibiting motions on a fast time scale (<100 ps). Large discrepancies between NMR and MD order parameters for certain residues are attributed to the occurrence of “rare” motional events over the simulation trajectories, the disruption of an element of secondary structure in one of the simulations, and lack of consensus among the experimental data sets. Consequently, (easily detectable) severe distortions of local protein structure and infrequent motional events in MD simulations appear to be the most serious artifacts affecting the accuracy and precision, respectively, of MD order parameters relative to NMR values. In addition, MD order parameters for motions on a fast (<100 ps) timescale are more precisely determined than their NMR counterparts, thereby permitting more detailed dynamic characterization of biologically important residues by MD simulation than is sometimes possible by experimental methods. Proteins 28:481–493, 1997. © 1997 Wiley-Liss, Inc.     

Solvent Interactions and Protein Dynamics in Spin-labeled T4 Lysozyme

Abstract

Aspects of T4 lysozyme dynamics and solvent interaction are investigated using atomically detailed Molecular Dynamics (MD) simulations. Two spin-labeled mutants of T4 lysozyme are analyzed (T4L-N40C and T4L-K48C), which have been found from electronic paramagnetic resonance (EPR) experiments to exhibit different mobilities at the site of spin probe attachment (N- and C-terminus of helix B, respectively). Similarities and differences in solvent distribution and diffusion around the spin label, as well as around exposed and buried residues within the protein, are discussed. The purpose is to capture possible strong interactions between the spin label (ring) and solvent molecules, which may affect EPR lineshapes. The effect of backbone motions on the water density profiles is also investigated. The focus is on the domain closure associated with the T4 lysozyme hinge-bending motion, which is analyzed by Essential Dynamics (ED). The N-terminus of helix B is found to be a “hinge” residue, which explains the high degree of flexibility and motional freedom at this site.     

The Crystal Structure of Glutamine-binding Protein fromEscherichia coli

The crystal structure of the glutamine-binding protein (GlnBP) fromEscherichia coliin a ligand-free “open” conformational state has been determined by isomorphous replacement methods and refined to anR-value of 21.4% at 2.3 Å resolution. There are two molecules in the asymmetric unit, related by pseudo 4-fold screw symmetry. The refined model consists of 3587 non-hydrogen atoms from 440 residues (two monomers), and 159 water molecules. The structure has root-mean-square deviations of 0.013 Å from “deal” bond lengths and 1.5° from “ideal” bond angles.The GlnBP molecule has overall dimensions of approximately 60 Å × 40 Å × 35 Å and is made up of two domains (termed large and small), which exhibit a similar supersecondary structure, linked by two antiparallel β-strands. The small domain contains three α-helices and four parallel and one antiparallel β-strands. The large domain is similar to the small domain but contains two additional α-helices and three more short antiparallel β-strands. A comparison of the secondary structural motifs of GlnBP with those of other periplasmic binding proteins is discussed.A model of the “closed form” GlnBP-Gln complex has been proposed based on the crystal structures of the histidine-binding protein-His complex and “open form” GlnBP. This model has been successfully used as a search model in the crystal structure determination of the “closed form” GlnBP-Gln complex by molecular replacement methods. The model agrees remarkably well with the crystal structure of the Gln-GlnBP complex with root-mean-square deviation of 1.29 Å. Our study shows that, at least in our case, it is possible to predict one conformational state of a periplasmic binding protein from another conformational state of the protein. The glutamine-binding pockets of the model and the crystal structure are compared and the modeling technique is described.     

Theoretical studies of the response of a protein structure to cavity-creating mutations

We have investigated the response of a protein structure to cavity-creating mutations by molecular dynamics (MD) simulations for the wild-type and the five mutants of phage T4 lysozyme. Essential dynamics (ED) analysis and the methods for calculating different components of local interaction energies are used to examine the structural and energetic characteristics associated with the mutations. In agreement with the x-ray results, it is found that the structural changes due to the replacements of a bulky side chain such as Leu or Phe with Ala within the hydrophobic core can be characterized as slight adjustments rather than substantial reorganization of the protein. The relative stability of different mutant structures can be related with the extent of structural readjustments in response to the mutation. The destabilization of the mutant Leu-->Ala proteins relative to the wild-type is closely related with the loss of van der Waals contacts due to the cavity-creating mutations.     

Kinetic steps for α-helix formation

The kinetics of α-helix formation in polyalanine and polyglycine eicosamers (20-mers) were examined using torsional-coordinate molecular dynamics (MD). Of one hundred fifty-five MD experiments on extended (Ala)₂₀ carried out for 0.5 ns each, 129 (83%) formed a persistent α-helix. In contrast, the extended state of (Gly)₂₀ only formed a right-handed α-helix in two of the 20 MD experiments (10%), and these helices were not as long or as persistent as those of polyalanine. These simulations show helix formation to be a competition between the rates of (a) forming local hydrogen bonds (i.e. hydrogen bonds between any residue i and its i + 2, i + 3, i + 4, or i + 5th neighbor) and (b) forming nonlocal hydrogen bonds (HBs) between residues widely separated in sequence. Local HBs grow rapidly into an α-helix; but nonlocal HBs usually retard helix formation by “trapping” the polymer in irregular, “balled-up” structures. Most trajectories formed some nonlocal HBs, sometimes as many as eight. But, for (Ala)₂₀, most of these eventually rearranged to form local HBs that lead to α-helices. A simple kinetic model describes the rate of converting nonlocal HBs into α-helices. Torsional-coordinate MD speeds folding by eliminating bond and angle degrees of freedom and reducing dynamical friction. Thus, the observed 210 ps half-life for helix formation is likely to be a lower bound on the real rate. However, we believe the sequential steps observed here mirror those of real systems. Proteins 33:343–357, 1998. © 1998 Wiley-Liss, Inc.     

Conformational dynamics of human protein kinase CK2α and its effect on function and inhibition

Protein kinase, casein kinase II (CK2), is ubiquitously expressed and highly conserved protein kinase that shows constitutive activity. It phosphorylates a diverse set of proteins and plays crucial role in several cellular processes. The catalytic subunit of this enzyme (CK2α) shows remarkable flexibility as evidenced in numerous crystal structures determined till now. Here, using analysis of multiple crystal structures and long timescale molecular dynamics simulations, we explore the conformational flexibility of CK2α. The enzyme shows considerably higher flexibility in the solution as compared to that observed in crystal structure ensemble. Multiple conformations of hinge region, located near the active site, were observed during the dynamics. We further observed that among these multiple conformations, the most populated conformational state was inadequately represented in the crystal structure ensemble. The catalytic spine, was found to be less dismantled in this state as compared to the “open” hinge/αD state crystal structures. The comparison of dynamics in unbound (Apo) state and inhibitor (CX4945) bound state exhibits inhibitor induced suppression in the overall dynamics of the enzyme. This is especially true for functionally important glycine‐rich loop above the active site. Together, this work gives novel insights into the dynamics of CK2α in solution and relates it to the function. This work also explains the effect of inhibitor on the dynamics of CK2α and paves way for development of better inhibitors.     

Influence of pressure on the low‐frequency vibrational modes of lysozyme and water: A complementary inelastic neutron scattering and molecular dynamics simulation study

We performed complementary inelastic neutron scattering (INS) experiments and molecular dynamics (MD) simulations to study the influence of pressure on the low‐frequency vibrational modes of lysozyme in aqueous solution in the 1 atm–6 kbar range. Increasing pressure induces a high‐frequency shift of the low‐frequency part (<10 meV = 80 cm^?1) of the vibrational density of states (VDOS), g(ω), of both lysozyme and water that reveals a stiffening of the interactions ascribed to the reduction of the protein and water volumes. Accordingly, high pressures increase the curvature of the free energy profiles of the protein quasiharmonic vibrational modes. Furthermore, the nonlinear influence of pressure on the g(ω) of lysozyme indicates a change of protein dynamics that reflects the nonlinear pressure dependence of the protein compressibility. An analogous dynamical change is observed for water and stems from the distortion of its tetrahedral structure under pressure. Moreover, our study reveals that the structural, dynamical, and vibrational properties of the hydration water of lysozyme are less sensitive to pressure than those of bulk water, thereby evidencing the strong influence of the protein surface on hydration water. Proteins 2013. © 2012 Wiley Periodicals, Inc.     

In silico predictions of LH2 ring sizes from the crystal structure of a single subunit using molecular dynamics simulations

Most of the currently known light‐harvesting complexes 2 (LH2) rings are formed by 8 or 9 subunits. As of now, questions like “what factors govern the LH2 ring size?” and “are there other ring sizes possible?” remain largely unanswered. Here, we investigate by means of molecular dynamics (MD) simulations and stochastic modeling the possibility of predicting the size of an LH2 ring from the sole knowledge of the high resolution crystal structure of a single subunit. Starting with single subunits of two LH2 rings with known size, that is, an 8‐ring from Rs. moliscianum (MOLI) and a 9‐ring from Rps. acidophila (ACI), and one with unknown size (referred to as X), we build atomic models of subunit dimers corresponding to assumed 8‐, 9‐, and 10‐ring geometries. After inserting each of the dimers into a lipid‐water environment, we determine the preferred angle between the corresponding subunits by three methods: (1) energy minimization, (2) free MD simulations, and (3) potential of mean force calculations. We find that the results from all three methods are consistent with each other, and when taken together, it allows one to predict with reasonable level of confidence the sizes of the corresponding ring structures. One finds that X and ACI very likely form a 9‐ring, while MOLI is more likely to form an 8‐ring than a 9‐ring. Finally, we discuss both the merits and limitations of all three prediction methods. Proteins 2011; © 2011 Wiley‐Liss, Inc.     

Kinked structures of isolated nicotinic receptor M2 helices: A molecular dynamics study

The pore-lining M2 helix of the nicotinic acetylcholine receptor exhibits a pronounced kink when the corresponding ion channel is in a closed conformation [N. Unwin (1993) Journal of Molecular Biology, Vol. 229, pp. 1101–1124]. We have performed molecular dynamics simulations of isolated 22-residue M2 helices in order to identify a possible molecular origin of this kink. In order to sample a wide range of conformational space, a simulated annealing protocol was used to generate five initial M2 helix structures, each of which was subsequently used as the basis of 300 ps MD simulations. Two helix sequences (M2α and M2δ) were studied in this manner, resulting in a total often 300 ps trajectories. Kinked helices present in the trajectories were identified and energy minimized to yield a total of five different stable kinked structures. For comparison, a similar molecular dynamics simulation of a Leu₂₃ helix yielded no stable kinked structures. In four of the five kinked helices, the kink was stabilized by H bonds between the helix backbone and polar side-chain atoms. Comparison with data from the literature on site-directed mutagenesis of M2 residues suggests that such polar side-chain to main-chain H bonds may also contribute to kinking of M2 helices in the intact channel protein. © 1994 John Wiley & Sons, Inc.