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Jeremy C Smith

Publications and source records attributed to Jeremy C Smith.

At least 37 records · Page 2Linked to original sources

Protein/ligand binding free energies calculated with quantum mechanics/molecular mechanics.

The calculation of binding affinities for flexible ligands has hitherto required the availability of reliable molecular mechanics parameters for the ligands, a restriction that can in principle be lifted by using a mixed quantum mechanics/molecular mechanics (QM/MM) representation in which the ligand is treated quantum mechanically. The feasibility of this approach is evaluated here, combining QM/MM with the Poisson-Boltzmann/surface area model of continuum solvation and testing the method on a set of 47 benzamidine derivatives binding to trypsin. The experimental range of the absolute binding energy (DeltaG = -3.9 to -7.6 kcal/mol) is reproduced well, with a root-mean-square (RMS) error of 1.2 kcal/mol. When QM/MM is applied without reoptimization to the very different ligands of FK506 binding protein the RMS error is only 0.7 kcal/mol. The results show that QM/MM is a promising new avenue for automated docking and scoring of flexible ligands. Suggestions are made for further improvements in accuracy.

Ligands↗

Automated computation of low-energy pathways for complex rearrangements in proteins: application to the conformational switch of Ras p21.

The computation of minimum energy paths (MEPs) is an approach for gaining insight into protein conformational transitions that are too slow to be observed with unconstrained molecular dynamics simulations. MEPs have the advantage of providing the energy barrier of the rate-limiting step(s), allowing discrimination among different paths. Finding low-energy MEPs for complex transitions, such as those involving rearrangements of the backbone fold or repacking of buried side chains, has hitherto been unfeasible in a reliable, automated manner, the MEP often displaying unphysical behavior, such as the crossing of bonds. Here, this problem is addressed by combining a counterintuitive procedure for generating an initial guess of the path, in which all side chains are shrunk, with the conjugate peak refinement (CPR) method. The effectiveness of the approach is tested on the conformational switch in Ras p21. This conformational transition involves some partial unfolding and re-folding, a process for which a multitude of pathways are likely to exist and for which a single MEP does not provide a complete description. However, this transition requires some sterically demanding rearrangements, thus testing the ability of a method to find low-energy pathways free of structurally unphysical events. This is achieved by the present approach, which finds a path whose rate-limiting barrier is compatible with experiment. This demonstrates that the method can be used to compute plausible pathways for complex rearrangements in proteins in an automated manner that is unbiased by external driving constraints.

Automation↗

Enzyme activity and flexibility at very low hydration.

Recent measurements have demonstrated enzyme activity at hydrations as low as 3%. This raises the question of whether hydration-induced enzyme flexibility is important for activity. Here, to address this, picosecond dynamic neutron scattering experiments are performed on pig liver esterase powders at 0%, 3%, 12%, and 50% hydration by weight and at temperatures ranging from 120 to 300 K. At all temperatures and hydrations, significant quasielastic scattering intensity is found in the protein, indicating the presence of anharmonic, diffusive motion. As the hydration increases, a temperature-dependent dynamical transition appears and strengthens involving additional diffusive motion. The implication of these results is that, although the additional hydration-induced diffusive motion in the protein detected here may be related to increased activity, it is not required for the enzyme to function.

Animals↗

Structural mechanism of the recovery stroke in the myosin molecular motor.

The power stroke pulling myosin along actin filaments during muscle contraction is achieved by a large rotation ( approximately 60 degrees ) of the myosin lever arm after ATP hydrolysis. Upon binding the next ATP, myosin dissociates from actin, but its ATPase site is still partially open and catalytically off. Myosin must then close and activate its ATPase site while returning the lever arm for the next power stroke. A mechanism for this coupling between the ATPase site and the distant lever arm is determined here by generating a continuous series of optimized intermediates between the crystallographic end-states of the recovery stroke. This yields a detailed structural model for communication between the catalytic and the force-generating regions that is consistent with experimental observations. The coupling is achieved by an amplifying cascade of conformational changes along the relay helix lying between the ATPase and the domain carrying the lever arm.

Actins↗

Understanding the energetics of helical peptide orientation in membranes.

Understanding the energetic factors determining the positioning and orientation of single-helical peptides in membranes is of fundamental interest in structural biology. Here, a simple 5-slab continuum dielectric model for the membrane is examined that distinguishes between the solvent, headgroup, and core regions. An analytical solution for the electrostatic solvation of a single dipole and an all-atom model of N-methylacetamide are used to demonstrate the effect of the dielectric boundaries in the system on peptide dipole orientation. The dipole orientation energy is shown to dominate the electrostatic solvation energy of a polyalanine helix in the membrane. With an additional surface-area-dependent term to account for the cavity formation in the aqueous region, the continuum electrostatics description is used to examine several helical peptides, the atoms of which are explicitly represented with a molecular mechanics force field. The experimentally determined tilt angles of a number of peptides of alternating alanine and leucine residues, and of glycophorin and melittin, are accurately reproduced by the model. The factors determining the tilt angles and their fluctuations are analyzed. The tilt angles of the simpler peptides are found to increase approximately linearly with peptide length; this effect is also rationalized. The analysis and model presented here provide a step toward the prediction of helical membrane protein structure.

Acetamides↗

Fluctuations and correlations in crystalline protein dynamics: a simulation analysis of staphylococcal nuclease.

Understanding collective motions in protein crystals is likely to furnish insight into functional protein dynamics and will improve models for refinement against diffraction data. Here, four 10 ns molecular dynamics simulations of crystalline Staphylococcal nuclease are reported and analyzed in terms of fluctuations and correlations in atomic motion. The simulation-derived fluctuations strongly correlate with, but are slightly higher than, the values derived from the experimental B-factors. Approximately 70% of the atomic fluctuations are due to internal protein motion. For 65% of the protein atoms the internal fluctuations converge on the nanosecond timescale. Convergence is much slower for the elements of the interatomic displacement correlation matrix--of these, >80% converge within 1 ns for interatomic distances less, approximately <6 A, but only 10% for separations approximately =12 A. Those collective motions that converged on the nanosecond timescale involve mostly correlations within the beta-barrel or between alpha-helices of the protein. The R-factor with the experimental x-ray diffuse scattering for the crystal, which is determined by the displacement variance-covariance matrix, decreases to 8% after 10 ns simulation. Both the number of converged correlation matrix elements and the R-factor depend logarithmically on time, consistent with a model in which the number of energy minima sampled depends exponentially on the maximum energy barrier crossed. The logarithmic dependence is also extrapolated to predict a convergence time for the whole variance-covariance matrix of approximately 1 micros.

Biophysics↗

Nonuniform charge scaling (NUCS): a practical approximation of solvent electrostatic screening in proteins.

In molecular mechanics calculations, electrostatic interactions between chemical groups are usually represented by a Coulomb potential between the partial atomic charges of the groups. In aqueous solution these interactions are modified by the polarizable solvent. Although the electrostatic effects of the polarized solvent on the protein are well described by the Poisson--Boltzmann equation, its numerical solution is computationally expensive for large molecules such as proteins. The procedure of nonuniform charge scaling (NUCS) is a pragmatic approach to implicit solvation that approximates the solvent screening effect by individually scaling the partial charges on the explicit atoms of the macromolecule so as to reproduce electrostatic interaction energies obtained from an initial Poisson--Boltzmann analysis. Once the screening factors have been determined for a protein the scaled charges can be easily used in any molecular mechanics program that implements a Coulomb term. The approach is particularly suitable for minimization-based simulations, such as normal mode analysis, certain conformational reaction path or ligand binding techniques for which bulk solvent cannot be included explicitly, and for combined quantum mechanical/molecular mechanical calculations when the interface to more elaborate continuum solvent models is lacking. The method is illustrated using reaction path calculations of the Tyr 35 ring flip in the bovine pancreatic trypsin inhibitor.

Algorithms↗

A molecular mechanics force field for biologically important sterols.

A parameterization has been performed of the biologically important sterols cholesterol, ergosterol, and lanosterol for the CHARMM27 all-atom molecular mechanics force field. An automated parameterization method was used that involves fitting the potential to vibrational frequencies and eigenvectors derived from quantum-chemical calculations. The partial charges were derived by fitting point charges to quantum-chemically calculated electrostatic potentials. To model the dynamics of the hydroxyl groups of the sterols correctly, the parameter set was refined to reproduce the energy barrier for the rotation of the hydroxyl group around the carbon connected to the hydroxyl of each sterol. The frequency-matching plots show good agreement between the CHARMM and quantum chemical normal modes. The parameters are tested in a molecular dynamics simulation of the cholesterol crystal structure. The experimental geometry and cell dimensions are well reproduced. The force field derived here is also useful for simulating other sterols such as the phytosterols sigmasterol, and campesterol, and a variety of steroids.

Algorithms↗

Mechanism of a molecular valve in the halorhodopsin chloride pump.

Halorhodopsin is a light-driven chloride anion pump in which the trans-->cis photoisomerization of a retinal chromophore triggers a photocycle resulting in the translocation of chloride across the plasma membrane. The mechanism of chloride transfer past the cis retinal is determined here by computing multiple pathways for this process. The calculations reveal two conditions of the valve mechanism. First, a lumen absent in the ground state structure is transiently opened by chloride passage. Second, this activated opening, which is achieved by flexible deformation of the surrounding protein, is shown to significantly raise the chloride translocation barrier between photocycles, thus preventing chloride backflow. Unlike macroscopic valve designs, the protein allows differential ion flows in the pumping and resting states that are tuned to match the physiological timescales of the cell, thus creating a "kinetic" valve.

Chlorides↗

The alpha helix dipole: screened out?

Aligned alpha helix peptide dipoles sum to a "macroscopic" dipole parallel to the helix axis that has been implicated in protein folding and function. However, in aqueous solution the dipole is counteracted by an electrostatic reaction field generated by the solvent, and the strength of the helix dipole may reduce drastically from its value in vacuum. Here, using atomic-detail helix models and Poisson-Boltzmann continuum electrostatics calculations, the net effective dipole moment, mu(eff), is calculated. Some initially surprising results are found. Whereas in vacuum mu(eff) increases with helix length, the opposite is found to be the case for transmembrane helices. In soluble proteins, mu(eff) is found to vary strongly with the orientation and position of the helix relative to the aqueous medium. A set of rules is established to estimate of the strength of mu(eff) from graphical inspection of protein structures.

Alanine↗

Molecular modeling of O6-methylguanine-DNA methyltransferase mutant proteins encoded by single nucleotide polymorphisms.

The DNA repair protein O6-methylguanine-DNA methyltransferase (MGMT) acts as a chemoprotectant and mediates resistance to alkylating anti-tumor agents. A number of MGMT single nucleotide polymorphisms (SNPs) have been described. We analyzed by molecular modeling the regions likely to be affected in the MGMT mutant proteins encoded by SNPs. Starting from the crystal structure of non-alkylated MGMT, molecular models of mutant proteins encoded by SNPs have been built. Most of the mutations were found to be located either within the DNA binding region (A121E, A121T, G132R, N123V) or in the vicinity of the active Cys145 (I143V, G160R). A further L84F mutant might affect Zn2+ binding. W65C was found to possibly be unstable.

Algorithms↗

Key role of electrostatic interactions in bacteriorhodopsin proton transfer.

The first proton transport step following photon absorption in bacteriorhodopsin is from the 13-cis retinal Schiff base to Asp85. Configurational and energetic determinants of this step are investigated here by performing quantum mechanical/molecular mechanical minimum-energy reaction-path calculations. The results suggest that retinal can pump protons when in the 13-cis, 15-anti conformation but not when 13-cis, 15-syn. Decomposition of the proton transfer energy profiles for various possible pathways reveals a conflict between the effect of the intrinsic proton affinities of the Schiff base and Asp85, which favors the neutral, product state (i.e., with Asp85 protonated), with the mainly electrostatic interaction between the protein environment with the reacting partners, which favors the ion pair reactant state (i.e., with retinal protonated). The rate-limiting proton-transfer barrier depends both on the relative orientations of the proton donor and acceptor groups and on the pathway followed by the proton; depending on these factors, the barrier may arise from breaking and forming of hydrogen bonds involving the Schiff base, Asp85, Asp212, and water w402, and from nonbonded interactions involving protein groups that respond to the charge rearrangements in the Schiff base region.

Bacteriorhodopsins↗

Structure, dynamics and reactions of protein hydration water.

The apparent simplicity of the water molecule belies the wide range of fascinating protein phenomena in which it participates. We review recent computer simulation work on buried, internal water molecules, discussing the thermodynamics of water molecule binding and the participation of water in proton transfer reactions. Surface water molecules are also considered, with emphasis on the modification of average solvent structure on a protein surface, the role of water in the protein dynamical 'glass' transition and a simplified description of the protein motions thereby activated.

Computer Simulation↗

A common pharmacophoric footprint for AIDS vaccine design.

The most promising target antigen for an HIV vaccine designed using the classic antibody strategy has been the viral coat protein gp120. Unfortunately, its high variability has prevented this approach. We examine here a 15-residue peptide derived from the CD4-binding domain of gp120. By use of molecular dynamics computer simulation, it is shown that despite considerable sequence variation, the three-dimensional structure of the peptide is preserved over the full range of clade-specific sequences. Furthermore, sequences threaded onto the structure exhibit common three-dimensional electrostatic and hydrophobic properties. These common physicochemical characteristics constitute a pharmacophoric footprint that promises to be useful in the design of a synthetic antigen for vaccine development.

AIDS Vaccines↗

Direct determination of vibrational density of states change on ligand binding to a protein.

The change in the vibrational density of states of a protein (dihydrofolate reductase) on binding a ligand (methotrexate) is determined using inelastic neutron scattering. The vibrations of the complex soften significantly relative to the unbound protein. The resulting free-energy change, which is directly determined by the density of states change, is found to contribute significantly to the binding equilibrium.

Deuterium Oxide↗

Mechanism of primary proton transfer in bacteriorhodopsin.

Recent structures of putative intermediates in the bacteriorhodopsin photocycle have provided valuable snapshots of the mechanism by which protons are pumped across the membrane. However, key steps remain highly controversial, particularly the proton transfer occurring immediately after retinal trans-->cis photoisomerization. The gradual release of stored energy is inherently nonequilibrium: which photocycle intermediates are populated depends not only on their energy but also on their interconversion rates. To understand why the photocycle follows a productive (i.e., pumping), rather than some unproductive, relaxation pathway, it is necessary to know the relative energy barriers of individual steps. To discriminate between the many proposed scenarios of this process, we computed all its possible minimum-energy paths. This reveals that not one, but three very different pathways have energy barriers consistent with experiment. This result reconciles the conflicting views held on the mechanism and suggests a strategy by which the protein renders this essential step resilient.

Bacteriorhodopsins↗

Neutron frequency windows and the protein dynamical transition.

Proteins undergo an apparent dynamical transition on temperature variation that has been correlated with the onset of function. The transition in the mean-square displacement, , that is observed using a spectrometer or computer simulation, depends on the relationship between the timescales of the relaxation processes activated and the timescale accessible to the instrument or simulation. Models are described of two extreme situations---an "equilibrium" model, in which the long-time dynamics changes with temperature and all motions are resolved by the instrument used; and a "frequency window" model, in which there is no change in the long-time dynamics but as the temperature increases, the relaxation frequencies move into the instrumental range. Here we demonstrate that the latter, frequency-window model can describe the temperature and timescale dependences of both the intermediate neutron scattering function and derived from molecular dynamics simulations of a small protein in a cryosolution. The frequency-window model also describes the energy-resolution and temperature-dependences of obtained from experimental neutron scattering on glutamate dehydrogenase in the same solvent. Although equilibrium effects should also contribute to dynamical transitions in proteins, the present results suggests that frequency-window effects can play a role in the simulations and experiments examined. Finally, misquotations of previous findings are discussed in the context of solvent activation of protein dynamics and the possible relationship of this to activity.

Biophysics↗