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Comparative molecular dynamics--similar folds and similar motions?

Proteins possessing the same fold may undergo similar motions, particularly if these motions involve large conformational transitions. The increasing amounts of structural data provide a useful starting point with which to test this hypothesis. We have performed a total of 0.29 micros of molecular dynamics across a series of proteins within the same fold family (periplasmic binding proteinlike) in order to address to what extent similarity of motion exists. Analysis of the local conformational space on these timescales (10-20 ns) revealed that the behavior of the proteins could be readily distinguished between an apo-state and a ligand-bound state. Moreover, analysis of the root-mean-square fluctuations reveals that the presence of the ligand exerts a stabilizing effect on the protein, with similar motions occurring, but with reduced magnitude. Furthermore, the conformational space in the presence of the ligand appears to be dictated by sequence but not by the type of ligand present. In contrast, apo-simulations showed considerable overlap of conformational space across the fold as a result of their ability to undergo larger fluctuations. Indeed, we observed several transitions from different simulations between states corresponding to the closed-cleft and open-cleft forms of the fold, with the predominant motions being conserved across the different proteins. Thus, large-scale conformational changes do indeed appear to be conserved across this fold architecture, but smaller conformational motions appear to reflect the differences in sequence and local fold.

Amino Acid Sequence↗

Lattice-independent approach to thermal phase mixing

We show how to achieve lattice-spacing-independent results in numerical simulations of finite-temperature stochastic scalar field theories. We generalize a previous approach by obtaining results which are independent of the renormalization scale. As an application of our method, we examine thermal phase mixing in the context of Ginzburg-Landau models with short-range interactions. In particular, we obtain the lattice-spacing and renormalization-scale-independent critical value of the control parameter which determines the free-energy barrier between the two low-temperature phases. We also propose a simple procedure to extract the critical value of control parameters for different choices of lattice spacing.

Journal Article↗

Computer simulation of random packing of unequal particles.

A Monte Carlo simulation model for the random packing of unequal spherical particles is presented in this paper. With this model, the particle radii obeying a given distribution are generated and randomly placed within a cubic packing domain with high packing density and many overlaps. Then a relaxation iteration is applied to reduce or eliminate the overlaps, while the packing space is gradually expanded. The simulation is completed once the mean overlap value falls below a preset value. To simulate the random close packing, a "vibration" process is applied after the relaxation iteration. For log-normal distributed particles, the effect of particle size standard deviation, and for bidisperse particles, the effects of particle size ratio and the volume fraction of large particles on packing density and on coordination number are investigated. Simulation results show good agreement with that obtained by experiments and by other simulations. The randomness, homogeneity, and isotropy, which have not been evaluated before for packing of distributed particles, are also examined using statistical measures.

Journal Article↗

Male reproductive system in conditions of bed-rest in a head-down tilt.

Study of reproductive function in simulating experiments is important as for expansion of our theoretical knowledge in the field of gravitational physiology and space biology and for the decision of applied problems in space and clinical medicine. Long-term bed rest in a head-down tilt--6 degrees (BRHDT)--antiorthostatic hypokinesia is a wide spread method for ground-based simulation of space flight's conditions (mainly of hemodynamical effects of microgravity and restriction of locomotor activity). The aim of the present research was to study a reproductive function in males during 60-120 day BRHDT.

Adult↗

Comparison of molecular dynamics and harmonic mode calculations on RNA.

Conformational fluctuations of a double-stranded RNA oligonucleotide have been calculated from a two nanosecond molecular dynamics simulation including explicit waters and ions and from a harmonic mode analysis. The harmonic mode analysis was performed in the absence of solvent using various effective dielectric screening functions. RNA flexibility was analyzed and compared at the level of atomic position fluctuations, helical base-pair descriptor fluctuations and global helix bending, stretching, and twisting flexibilities. Although quantitative differences were found, the qualitative pattern of atomic position and helical descriptor fluctuations along the sequence was similar for both methods. For the helical descriptor flexibility, the largest differences were observed for base-pair roll and rise that showed two times larger fluctuations in the molecular dynamics simulation. A significant overlap between the sub-space spanned by soft principal components calculated from the molecular dynamics simulation and harmonic modes was found. Both approaches predict a negative covariation for most helical base-pair step descriptors of neighboring base pair steps (with the exception of rise), which tend to stiffen the RNA at the global level. The RNA persistence length extracted from the molecular dynamics simulation (350-600 A) is smaller than the experimental value ( approximately 720 A) and estimates based on the harmonic mode approach (1100-1700 A).

Base Pairing↗

Generalized-ensemble algorithms: enhanced sampling techniques for Monte Carlo and molecular dynamics simulations.

In complex systems with many degrees of freedom such as spin glass and biomolecular systems, conventional simulations in canonical ensemble suffer from the quasi-ergodicity problem. A simulation in generalized ensemble performs a random walk in potential energy space and overcomes this difficulty. From only one simulation run, one can obtain canonical ensemble averages of physical quantities as functions of temperature by the single-histogram and/or multiple-histogram reweighting techniques. In this article we review the generalized ensemble algorithms. Three well-known methods, namely, multicanonical algorithm (MUCA), simulated tempering (ST), and replica-exchange method (REM), are described first. Both Monte Carlo (MC) and molecular dynamics (MD) versions of the algorithms are given. We then present five new generalized-ensemble algorithms which are extensions of the above methods.

Algorithms↗

Using computer graphics to enhance astronaut and systems safety.

Computer graphics is being employed at the NASA Johnson Space Center as a tool to perform rapid, efficient and economical analyses for man-machine integration, flight operations development and systems engineering. The Operator Station Design System (OSDS), a computer-based facility featuring a highly flexible and versatile interactive software package, PLAID, is described. This unique evaluation tool, with its expanding data base of Space Shuttle elements, various payloads, experiments, crew equipment and man models, supports a multitude of technical evaluations, including spacecraft and workstation layout, definition of astronaut visual access, flight techniques development, cargo integration and crew training. As OSDS is being applied to the Space Shuttle, Orbiter payloads (including the European Space Agency's Spacelab) and future space vehicles and stations, astronaut and systems safety are being enhanced. Typical OSDS examples are presented. By performing physical and operational evaluations during early conceptual phases. supporting systems verification for flight readiness, and applying its capabilities to real-time mission support, the OSDS provides the wherewithal to satisfy a growing need of the current and future space programs for efficient, economical analyses.

Astronauts↗

Energy absorption during running by leg muscles in a cockroach

Biologists have traditionally focused on a muscle's ability to generate power. By determining muscle length, strain and activation pattern in the cockroach Blaberus discoidalis, we discovered leg extensor muscles that operate as active dampers that only absorb energy during running. Data from running animals were compared with measurements of force and power production of isolated muscles studied over a range of stimulus conditions and muscle length changes.We studied the trochanter-femoral extensor muscles 137 and 179, homologous leg muscles of the mesothoracic and metathoracic legs, respectively. Because each of these muscles is innervated by a single excitatory motor axon, the activation pattern of the muscle could be defined precisely. Work loop studies using sinusoidal strains at 8 Hz showed these trochanter-femoral extensor muscles to be quite capable actuators, able to generate a maximum of 19-25 W kg-1 (at 25 degreesC). The optimal conditions for power output were four stimuli per cycle (interstimulus interval 11 ms), a strain of approximately 4 %, and a stimulation phase such that the onset of the stimulus burst came approximately half-way through the lengthening phase of the cycle. High-speed video analysis indicated that the actual muscle strain during running was 12 % in the mesothoracic muscles and 16 % in the metathoracic ones. Myographic recordings during running showed on average 3-4 muscle action potentials per cycle, with the timing of the action potentials such that the burst usually began shortly after the onset of shortening. Imposing upon the muscle in vitro the strain, stimulus number and stimulus phase characteristic of running generated work loops in which energy was absorbed (-25 W kg-1) rather than produced. Simulations exploring a wide parameter space revealed that the dominant parameter that determines function during running is the magnitude of strain. Strains required for the maximum power output by the trochanter-femoral extensor muscles simply do not occur during constant, average-speed running. Joint angle ranges of the coxa-trochanter-femur joint during running were 3-4 times greater than the changes necessary to produce maximum power output. None of the simulated patterns of stimulation or phase resulted in power production when strain magnitude was greater than 5 %. The trochanter-femoral extensor muscles 137/179 of a cockroach running at its preferred speed of 20 cm s-1 do not operate under conditions which maximize either power output or efficiency. In vitro measurements, however, demonstrate that these muscles absorb energy, probably to provide control of leg flexion and to aid in its reversal.

Journal Article↗

Thermodynamic and structural properties of r(ACC) as revealed by ultraviolet electronic absorption, circular dichroism, 1H-NMR spectroscopy and Monte Carlo simulations.

UV absorption, circular dichroism (CD) and 1H NMR, associated with Monte Carlo (MC) molecular structure simulations have been applied to the study of the trinucleoside diphosphate: r(ACC). The MC study which has been conducted as a function of temperature, is based on random variations of the nucleotide conformational angles, i.e. phosphodiester chain torsional angles and sugar pucker pseudorotational angles. All of the chemical bond lengths and valence angles remained fixed during the structural simulation, except those of the sugar pucker. Six different initial structures have been selected in order to explore the molecular conformational space as completely as possible. This simulation procedure led to distinct families of equilibrium conformations at 283, 298 and 318 K. The thermodynamical parameters such as variations in entropy, enthalpy and also melting temperature (delta SX0, delta HX0 and Tm) of the stacking (X) equilibrium were obtained from UV absorption and circular dichroism (CD) spectra recorded over a 80K temperature range. Chemical shifts (delta), vicinal coupling constants (3Jk,l), and cross-relaxation rate (sigma k,l) of trimers were measured at 400.13 MHz over a range of concentrations (2-13 mM) and temperatures (283-333K). Least-squares fitting of the experimental chemical shifts to simple models of association (A) and stacking equilibria allowed separation of the variations in the delta values (delta delta X and delta delta A) due to either phenomenon. The three NMR data sets (delta delta X, 3Jk,l, and sigma k,l) were then evaluated for the minima conformers obtained with the MC stimulations. Theoretical values of delta delta X were estimated using the results of an ab initio study while the coupling constant data were simulated with Karplus-type equations. Finally, the relaxation data were simulated from the distance matrices using treatment for cases of both slow conformational exchange accompanied by rapid small-amplitude fluctuations about the minima structures. A consistent picture of the large amplitude deformations (torsional angle variation) of these trimers has emerged from the present study. Optimized conformational blends at 283,296 and 318K were obtained by least-squares fitting of the experimental data to the theoretical ones, while considering the populations as adjustable parameters. As it would be expected, the right-handed helical conformation (A-RNA type) is found to be the major stacked species, in the temperature range of 283 to 318K. Limited evidence for bulged structures has been obtained, whereas novel reverse-stacked and half-stacked conformers also presented theoretical data compatible with the NMR observables of aqueous r(ACC).

Circular Dichroism↗

Perfused phantom models of microwave irradiated tissue.

The theoretical basis, practical design considerations, and prototype testing of a perfused model suitable for simulation studies of microwave heated tissue are presented. A parallel tube heat exchanger configuration is used to simulate the internal convection effects of blood flow. The global thermal response of the phantom, on a scale of several tube spacings, is shown theoretically to be nearly identical to that predicted by Pennes' bioheat equation, which is known to give a reasonable representation of tissue under many conditions. A parametric study is provided for the relationships between the tube size, spacing and material properties and the simulated perfusion rate. A prototype with a physiologically reasonable perfusion rate was tested using a typical hyperthermia applicator. The measured thermal response of the phantom compares favorably with the numerical solution of the bioheat equation under the same irradiation conditions. This similarity sheds light on the unexpected success of the bioheat equation for modeling the thermal response of real tissue.

Blood Circulation↗

Molecular dynamics simulations of peptides and proteins with amplified collective motions.

We present a novel method that uses the collective modes obtained with a coarse-grained model/anisotropic network model to guide the atomic-level simulations. Based on this model, local collective modes can be calculated according to a single configuration in the conformational space of the protein. In the molecular dynamics simulations, the motions along the slowest few modes are coupled to a higher temperature by the weak coupling method to amplify the collective motions. This amplified-collective-motion (ACM) method is applied to two test systems. One is an S-peptide analog. We realized the refolding of the denatured peptide in eight simulations out of 10 using the method. The other system is bacteriophage T4 lysozyme. Much more extensive domain motions between the N-terminal and C-terminal domain of T4 lysozyme are observed in the ACM simulation compared to a conventional simulation. The ACM method allows for extensive sampling in conformational space while still restricting the sampled configurations within low energy areas. The method can be applied in both explicit and implicit solvent simulations, and may be further applied to important biological problems, such as long timescale functional motions, protein folding/unfolding, and structure prediction.

Anisotropy↗

Estimation of parameters affecting the uptake of 99mTc-methylenediphosphonate in rat femur with model simulation.

The uptake of 99mTc-methylenediphosphonate (MDP) in different parts of rat femur was simulated using a local three-space model for tracer transfer. The model consisted of bone blood, bone ECF-space and space for tracer deposition. The measured 99mTc-MDP concentration in the systemic blood and the local bone blood flow measured by 131I-macroaggregated albumin microspheres were used as input parameters. The measured blood flow values were 6.3, 3.1 and 15.3 ml/100 g/min for proximal, middle and distal femur, respectively. The model parameters that gave the best fit to measured 99mTc-MDP uptake curves in computer simulation showed that bone blood flow, volume of ECF-space, permeability surface area product and accretion constant from ECF-space to space for tracer deposition were highest in distal and lowest in middle femur. The values corresponded to peak extraction fractions of 0.38, 0.62, and 0.31 for proximal, middle and distal femur, respectively. We conclude that the simulation gives acceptable model parameters, and indicates applicability of a similar model into clinical quantitative bone scintigraphy.

Animals↗

INDISIM, an individual-based discrete simulation model to study bacterial cultures.

An individual-based model has been developed and designed to simulate the growth and behaviour of bacterial colonies. The simulator is called INDISIM, which stands for INDividual DIScrete SIMulations. INDISIM is discrete in space and time, and controls a group of bacterial cells at each time step, using a set of random, time-dependent variables for each bacterium. These variables are used to characterize its position in space, biomass, state in the cellular reproduction cycle as well as other individual properties. The space where the bacterial colony evolves is also discrete. A physical lattice is introduced, subject to the appropriate boundary conditions. The lattice is subdivided into spatial cells, also defined by a set of random, time-dependent variables. These variables may include concentrations of different types of particles, nutrients, reaction products and residual products. Random variables are used to characterize the individual bacterium and the individual particle, as well as the updating of individual rules. Thus, the simulations are stochastic rather than deterministic. The whole set of variables, those that characterize the bacterial population and the environment where they evolve, enables the simulator to study the behaviour of each microorganism-such as its motion, uptake, metabolism, and viability-according to given rules suited for the system under study. These rules require the input of only a few parameters. Once this information is inputted, INDISIM simulates the behaviour of the system providing insights into the global properties of the system from the assumptions made on the properties of the individual bacteria. The relation between microscopic and global properties of the bacterial colony is obtained by using statistical averaging. In this work INDISIM has been used to study (a) biomass distributions, (b) the relationship between the rate of growth of a bacterial colony and the nutrient concentration and temperature, and (c) metabolic oscillations in batch bacterial colonies. The simulation results are found to be in very good qualitative agreement with available experimental data, and provide useful insights into the mechanisms involved in each case.

Bacteria↗

The effect of die spacing on crown deformation and seating time.

A machined brass crown, onto which a strain gauge had been attached, was filled with a silicone fluid and placed on various dies to simulate luting using zinc phosphate cement. Space between the crown and the die was varied, as was the seating force. As the load increased, crown deformation increased and time to seat decreased. Increasing the axial space decreased the time to seat but did not affect the strain recorded for a given load.

Analysis of Variance↗

Effects of hindlimb suspension and elevated ambient CO2 on rat growth and renal function.

BACKGROUND: Previous studies show that an ambient CO2 concentration of 2.0% may complicate interpretation of animal experiments conducted in spaceflight, while 0.7% CO2 exposure produces minimal effects. HYPOTHESIS: With additional spaceflight factors, such as microgravity, effects from the 0.7% CO2 exposure may be amplified. METHODS: To investigate the combined effects from microgravity and elevated CO2 on growth and renal function, two groups of rats were hindlimb suspended for 37 d, and a third group served as an ambulatory vivarium control (AMB). One suspension group was exposed to 0.7% CO2 for 30 d (HLS + 0.7% CO2), while the other group (HLS) served as a suspended control. Both the AMB and HLS groups breathed room air at 0.03% CO2. RESULTS: The HLS group showed responses consistent with past hindlimb suspension studies when compared with AMB, indicating similar reductions in organ and tissue weights and body weight gain. When comparing HLS + 0.7% CO2 animals to HLS controls, exposure to CO2 revealed lowered food consumption and increased urine volume, NH3 and CO2 excretion, with no differences in any of the other measured parameters, such as body weight gain, pH values, or electrolyte handling. CONCLUSION: This study shows that chronic exposure to both 0.7% ambient CO2 and hindlimb suspension together have little additional effect on rat growth and renal function.

Air Pollution, Indoor↗

Molecular dynamics of native protein. II. Analysis and nature of motion.

The 132 picosecond simulation of atomic motion in bovine pancreatic trypsin inhibitor protein generated in the accompanying paper is analysed here using a variety of different methods. Together, these techniques, many of which have been used before in analyses of protein co-ordinate refinement, give a complete and comprehensible description of the trajectory. Some highlights of the simulation are as follows. (1) The atoms vibrate about a time-averaged conformation that is close to the X-ray structure (within 1.1 A root-mean-square deviation for the main-chain of all residues except the first and last two). The vibration amplitude is least for main-chain atoms in alpha-helix or beta-sheet secondary structure and most for side-chain atoms in the charged polar side-chains (Asp, Glu, Lys and Arg). The overall extent and distribution of atomic motion is in agreement with the temperature factors derived from the X-ray refinement: the reorientation of bond vectors is much less than observed by nuclear magnetic resonance. (2) The protein explores four distinct regions of conformational space in the 132 picoseconds simulated. The conformational change from region III to IV and back again lasts 40 picoseconds and is of particular interest as it is reversible and involves an increase in the hydrogen bond energy. (3) The changes in main-chain torsion angles show the expected cooperativity of phi i + 1 and psi i; side-chains that are close in space also change their conformational angles in unison. (4) Hydrogen bonds are variable and many break and reform again in the 132 picoseconds. Certain hydrogen bonds are much less stable than others; with particular variability seen in the alpha-helices and at the ends of the beta-hairpin. Most noticeable are the co-operative changes of hydrogen bonds at both ends of the beta-hairpin that occur in going from region III to IV of the conformational space. (5) The overall solvent-accessible area remains close to that of the X-ray structure but polar charged residues become less exposed while non-polar hydrophobic residues become more exposed. Together these results give a conceptual model for protein dynamics in which the molecule vibrates about a particular conformation but then suddenly changes conformation, jumping over an energy barrier into a new region of conformational space.

Animals↗

[Water-salt homeostasis in rats during space flight].

The paper generalized the results of s series of experiments aimed at studying liquid and electrolytes contents in various organs and tissues of rats following 3-week space flights (SF). The results ascertain high reliability of the water-salt homeostasis maintaining system which ensures stable water and electrolytes amounts in the majority of animal tissues in SF. The following alterations appear to be of greatest significance: deduced potassium levels in the heart ventricle tissues in male rats after short-duration (7-9 d) exposure in SF, zero-g-induced degradation of the body ability to bind potassium at injection of isotonic solution KCl into the stomach; redistribution of potassium ions between mother and developing fetuses in space experiments with pregnant animals. Simulated experiments showed that similar shifting of potassium ions in the mother-fetus system may be due not to weightlessness exclusively but other impacts, i.e. they are not specific.

Animals↗

Theoretical foundations for noninvasive measurement of variations in the width of the subarachnoid space.

Numerical modeling was used for the theoretical analysis of the propagation of optical radiation in the tissues of the human head, generated by a single source placed on the surface of the scalp. Of special interest and importance is the propagation of radiation within the layer of cerebrospinal fluid contained in the subarachnoid space (SAS), which is the only low absorption/high transmittance medium whose width can vary rapidly. Qualitative and quantitative assessment of changes in propagation of radiation within the SAS could become a source of information on changes in the geometry of this anatomical compartment playing a crucial role in cranio-spinal physiology and pathology. Essential for the idea of the possible noninvasive assessment of changes in width of the SAS by an optical method is the dependence of intensity of radiation reaching a photodetector located at a certain distance from the source on changes in the width of this fluid layer, which acts like a biological optical waveguide. Monte Carlo modeling and numerical analysis confirmed the feasibility of assessing changes in the width of the subarachnoid space optically. Presented here are details of the Monte Carlo simulation of light propagation in the tissues of human head and the results of such simulation as a function of the width of the subarachnoid space, calculated for different distances between the source and detector and for a few selected values of bone thickness. Results of numerical modeling were then compared with those of experiments on a mechanical-optical model.

Adolescent↗