Biomedical subjects

Lars Meinhold

Publications and source records attributed to Lars Meinhold.

6 recordsLinked to original sources

PubMed2007

Protein dynamics from X-ray crystallography: anisotropic, global motion in diffuse scattering patterns.

Understanding X-ray crystallographic diffuse scattering is likely to improve our comprehension of equilibrium collective protein dynamics. Here, using molecular dynamics (MD) simulation, a detailed analysis is performed of the origins of diffuse scattering in crystalline Staphylococcal nuclease, for which the complete diffuse scattering pattern has been determined experimentally. The hydrogen-atom contribution and the scattering range over which the scattering can be considered to be a sum of solvent and protein scattering are determined. Two models of correlated protein motion are investigated by calculating the model-derived diffuse scattering and comparing with the scattering calculated directly from MD trajectories. In one model, previously used in diffuse scattering interpretation, the atomic displacement correlations decay isotropically with increasing separation. Model correlation lengths are obtained by refining the model scattering against the simulation-derived scattering pattern, and are found to be significantly different from those correlation lengths derived directly from the MD trajectories. Furthermore, the convergence between the model-derived and MD-derived scattering is poor. The second model, in which the displacement correlations are calculated from the principal components of the MD trajectories, is capable of fully reproducing the MD-derived diffuse scattering if the approximately 50% lowest-frequency modes are included. However, a small number ( approximately 10) of lowest-frequency and largest-amplitude modes dominates the diffuse scattering and thus the correlated protein motions. A detailed analysis of the principal components is performed. In particular, the effective free energy profile associated with each principle mode is analyzed and the eigenfrequency and damping coefficient computed using a model of Brownian dynamics. Those collective modes with effective frequencies below approximately 0.5 THz, including those that determine the diffuse scattering, are overdamped.

Anisotropy↗

PubMed2005

Pressure-dependent transition in protein dynamics at about revealed by molecular dynamics simulation.

Molecular dynamics simulations of a crystalline protein, Staphylococcal nuclease, over the pressure range 1 bar to 15 kbar reveal a qualitative change in the internal protein motions at approximately 4 kbar. This change involves the existence of two linear regimes in the mean-square displacement for internal protein motion, (P) with a twofold decrease in the slope for P>4 kbar. The major effect of pressure on the dynamics is a loss, with increasing pressure of large amplitude, collective protein modes below 2 THz effective frequency, accompanied by restriction of large-scale solvent translational motion.

Computer Simulation↗

PubMed2005

Correlated dynamics determining x-ray diffuse scattering from a crystalline protein revealed by molecular dynamics simulation.

The dynamical origin of the x-ray diffuse scattering by crystals of a protein, Staphylococcal nuclease, is determined using molecular dynamics simulation. A smooth, nearly isotropic scattering shell at originates from equal contributions from correlations in nearest-neighbor water molecule dynamics and from internal protein motions, the latter consisting of -helix pitch and inter--strand fluctuations. Superposed on the shell are intense, three-dimensional scattering features that originate from a very small number of slowly varying (>10 ns) collective motions. The individual three-dimensional features are assigned to specific collective motions in the protein, and some of these explicitly involve potentially functional active-site deformations.

Computer Simulation↗

PubMed2005

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↗

PubMed2005

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↗

PubMed2002

Analytic description of stochastic calcium-signaling periodicity.

Calcium release is an important tool for cellular signaling processes where chemical signals are converted into spatio-temporal variations of intracellular calcium concentration. We investigated the temporal behavior of a single cluster of inositol-(1,4,5)-triphosphate receptor (IP3R)-I channels and will present an analytic approach to obtain the spectrum of the calcium signal within the cluster. We compare these results with stochastic simulations and obtain an intermediate number of channels per cluster for optimal signaling periodicity.

Biophysical Phenomena↗