Adjustments to McConville et al. and Young et al. body segment inertial parameters

Body segment inertial parameters (BSIPs) are important data in biomechanics. They are usually estimated from predictive equations reported in the literature. However, most of the predictive equations are ambiguously applicable in the conventional 3D segment coordinate systems (SCSs). Also, the predictive equations reported in the literature all include two assumptions: the centre of mass and the proximal and distal endpoints are assumed to be aligned, and the inertia tensor is assumed to be principal in the segment axes. These predictive equations, restraining both position of the centre of mass and orientation of the principal axes of inertia, become restrictive when computing 3D inverse dynamics, when analyzing the influence of BSIP estimations on joint forces and moments and when evaluating personalized 3D BSIPs obtained from medical imaging. In the current study, the extensive data from McConville et al. (1980. Anthropometric relationships of body and body segment moments of inertia. AFAMRL-TR-80-119, Aerospace Medical Research Laboratory, Wright-Patterson Air Force Base, Dayton, Ohio) and from Young et al. (1983. Anthropometric and mass distribution characteristics of the adults female. Technical Report AFAMRL-TR-80-119, FAA Civil Aeromedical Institute, Oklaoma City, Oklaoma) are adjusted in order to correspond to joint centres and to conventional segment axes. In this way, scaling equations are obtained for both males and females that provide BSIPs which are directly applicable in the conventional SCSs and do not restrain the position of the centre of mass and the orientation of the principal axes. These adjusted scaling equations may be useful for researchers who wish to use appropriate 3D BSIPs for posture and movement analysis.     

Dynamics in the Mn2+ binding site in single crystals of concanavalin A revealed by high-field EPR spectroscopy

EPR spectroscopy at 95 GHz was used to characterize the dynamics at the Mn(2+) binding site in single crystals of the saccharide-binding protein concanavalin A. The zero-field splitting (ZFS) tensor of the Mn(2+) was determined from rotation patterns in the a-c and a-b crystallographic planes, acquired at room temperature and 4.5 K. The analysis of the rotation patterns showed that while at room temperature there is only one type of Mn(2+) site, at low temperatures two types of Mn(2+) sites, not related by any symmetry, are distinguished. The sites differ in the ZFS parameters D and E and in the orientation of the ZFS tensor with respect to the crystallographic axes. Temperature-dependent EPR measurements on a crystal oriented with its crystallographic a axis parallel to the magnetic field showed that as the temperature increases, the two well-resolved Mn(2+) sextets gradually coalesce into a single sextet at room temperature. The line shape changes are characteristic of a two-site exchange. This was confirmed by simulations which gave rates in the range of 10(7)-10(8) s(-1) for the temperature range of 200-266 K and an activation energy of 23.8 kJ/mol. This dynamic process was attributed to a conformational equilibrium within the Mn(2+) binding site which freezes into two conformations at low temperatures.     

Preliminary crystallographic data and quaternary structural implications of the central subunit of the multi-subunit complex transcarboxylase

The hexameric central subunit (Mr = 360,000) of the multi-subunit complex transcarboxylase has been crystallized by bulk dialysis against 250 mM-sodium acetate (pH 5.5). The crystals are cubic, a = 193.1 A, space group P4(1)32 or enantiomorph. The number of molecules per unit cell is four and was deduced from the density of the crystals (1.10 g cm-3) and the mother liquor (1.01 g cm-3) and the specific volume of the protein calculated from molecular dimensions obtained from electron microscopy studies. Four molecules per cell requires the central subunits to lie on 3-fold axes, which are perpendicular to 2-fold rotation axes, so that the molecules satisfy 32 symmetry giving one subunit as the asymmetric unit. Of the four possible models that have been considered for the quaternary structure of transcarboxylase, only that with antiparallel subunits, two sets of isologous binding sites and D3 symmetry is in agreement with the symmetry requirements of the cubic crystals.     

MR diffusion tensor spectroscopy and imaging.

This paper describes a new NMR imaging modality--MR diffusion tensor imaging. It consists of estimating an effective diffusion tensor, Deff, within a voxel, and then displaying useful quantities derived from it. We show how the phenomenon of anisotropic diffusion of water (or metabolites) in anisotropic tissues, measured noninvasively by these NMR methods, is exploited to determine fiber tract orientation and mean particle displacements. Once Deff is estimated from a series of NMR pulsed-gradient, spin-echo experiments, a tissue's three orthotropic axes can be determined. They coincide with the eigenvectors of Deff, while the effective diffusivities along these orthotropic directions are the eigenvalues of Deff. Diffusion ellipsoids, constructed in each voxel from Deff, depict both these orthotropic axes and the mean diffusion distances in these directions. Moreover, the three scalar invariants of Deff, which are independent of the tissue's orientation in the laboratory frame of reference, reveal useful information about molecular mobility reflective of local microstructure and anatomy. Inherently tensors (like Deff) describing transport processes in anisotropic media contain new information within a macroscopic voxel that scalars (such as the apparent diffusivity, proton density, T1, and T2) do not.     

Studies of the orientation of the mitochondrial redox carriers. III. Orientation of the gx and gy axes of the hemes of cytochrome oxidase with respect to the plane of the membrane in oriented membrane multilayers.

The EPR absorption properties of the hemes of cytochrome oxidase and their liganded derivatives were examined in oriented multilayers from isolated oxidase, mitochondrial membranes and membrane fragments of a bacterium, Paracoccus denitrificans. The hemes of the oxidase in all the systems investigated were oriented normal to the plane of the multilayers. The directions of the g signals corresponding to the gx and gy axes of the g tensor were found to be different in low-spin ferric heme in fully oxidized oxidase and in half-reduced liganded oxidase. It is suggested that this different orientation of gx and gy in fully oxidized oxidase and half-reduced liganded oxidase arises because the respective EPR signals belong to two different hemes, those of cytochrome a and a3.     

Enhancement of tomogram interpretability using the locked self-rotation function

The interpretation of cryo-electron tomograms of macromolecular complexes can be difficult because of the large amount of noise and because of the missing wedge effect. Here it is shown how the presence of rotational symmetry in a sample can be utilized to enhance the quality of a tomographic analysis. The orientation of symmetry axes in a sub-tomogram can be determined using a locked self-rotation function. Given this knowledge, the sub-tomogram density can then be averaged to improve its interpretability. Sub-tomograms of the icosahedral bacteriophage phiX174 are used to demonstrate the procedure.     

The behaviour of chromosomal axes during diplotene in mouse spermatocytes

The fate of the synaptonemal complex and its elements after pachytene has been studied by serial sectioning of diplotene nuclei in mouse spermatocytes. The lateral elements of the synaptonemal complex separate from each other during diplotene, and they form single axes, 300 Å wide, surrounded by chromatin fibrils. The single axes are continuous and end on the nuclear membrane by two different ends: the basal knob and the simple end. The single axes do not cross-over each other, but they remain approached at the convergence regions. In these regions a modified piece of synaptonemal complex is found. This piece changes into a chromatin bridge during diplotene. It has been inferred that the convergence regions represent chiasmata and that the single axes do not represent axial structures of chromatids.     

Structural and functional insights into the interaction of echoviruses and decay-accelerating factor

Many enteroviruses bind to the complement control protein decay-accelerating factor (DAF) to facilitate cell entry. We present here a structure for echovirus (EV) type 12 bound to DAF using cryo-negative stain transmission electron microscopy and three-dimensional image reconstruction to 16-A resolution, which we interpreted using the atomic structures of EV11 and DAF. DAF binds to a hypervariable region of the capsid close to the 2-fold symmetry axes in an interaction that involves mostly the short consensus repeat 3 domain of DAF and the capsid protein VP2. A bulge in the density for the short consensus repeat 3 domain suggests that a loop at residues 174-180 rearranges to prevent steric collision between closely packed molecules at the 2-fold symmetry axes. Detailed analysis of receptor interactions between a variety of echoviruses and DAF using surface plasmon resonance and comparison of this structure (and our previous work; Bhella, D., Goodfellow, I. G., Roversi, P., Pettigrew, D., Chaudhry, Y., Evans, D. J., and Lea, S. M. (2004) J. Biol. Chem. 279, 8325-8332) with reconstructions published for EV7 bound to DAF support major differences in receptor recognition among these viruses. However, comparison of the electron density for the two virus.receptor complexes (rather than comparisons of the pseudo-atomic models derived from fitting the coordinates into these densities) suggests that the dramatic differences in interaction affinities/specificities may arise from relatively subtle structural differences rather than from large-scale repositioning of the receptor with respect to the virus surface.     

The shape of L-arabinose isomerase from Escherichia coli.

L-Arabinose isomerase, EC 5.3.1.4, catalyzes the conversion of L-arabinose to L-ribulose, the first step in the catabolism of L-arabinose by Escherichia coli B/r. Patrick and Lee (1969) J. Biol. Chem. 244, 4277--4283) demonstrated that native L-arabinose isomerase is composed of six identical subunits of approximately Mr = 60,000. In this paper we describe an electron microscopy study of the arrangement of the six identical subunits. The isomerase is seen in two distinctly different orientations. The first has three subunits visible, with a 3-fold axis of symmetry, corresponding to a face-on view of two stacked, eclipsed trimers. The second orientation is rectangular in shape with 2-fold symmetry; suggesting a side-on view of the stacked trimers. The six identical subunits are thus arranged with D3 symmetry as in a trigonal prism. Measurements were made on the maximum profile of the three 2-fold axes of symmetry of the face-on orientations, and of both the long and short dimensions of the side-on orientation. The best estimate for the maximum profile of the 2-fold axes of symmetry of the face-on view is 106 +/- 8 A, using glutamine synthetase as an internal size standard. Measurements from micrographs of the isomerase alone, using an external magnification calibration, give the following results: for the maximum profile of the three 2-fold axes of symmetry of the face-on view, 132 +/- 7 A; for the long axis of the side-on view, 136 +/- 10 A; and for the short axis, 105 +/- 6 A. These measurements are consisting with the interpretation of the profiles as representing two different orientations of the L-arabinose isomerase.     

Simple multidimensional NMR experiments to obtain different types of one-bond dipolar couplings simultaneously

In order to measure residual dipolar couplings, the molecule under study has to be partially oriented in the presence of the magnetic field. It has been observed that some protein samples are not stable under the conditions imposed by the orienting media. If different types of dipolar couplings are measured sequentially, their values will not agree with a unique alignment tensor that is changing slowly over time. This could bias the structure calculation. It would be more appropriate to obtain different types of dipolar couplings simultaneously, such that all the data correspond to one effective alignment tensor. We describe here a general NMR strategy designed to do so, that can be adapted to various existing pulse sequences.     

Quantitative analysis of three-dimensional-resolved fiber architecture in heterogeneous skeletal muscle tissue using nmr and optical imaging methods

The determination of principal fiber directions in structurally heterogeneous biological tissue substantially contributes to an understanding of its mechanical function in vivo. In this study we have depicted structural heterogeneity through the model of the mammalian tongue, a tissue comprised of a network of highly interwoven fibers responsible for producing numerous variations of shape and position. In order to characterize the three-dimensional-resolved microscopic myoarchitecture of the intrinsic musculature of the tongue, we viewed its fiber orientation at microscopic and macroscopic length scales using NMR (diffusion tensor MRI) and optical (two-photon microscopy) imaging methods. Diffusion tensor imaging (DTI) of the excised core region of the porcine tongue resulted in an array of 3D diffusion tensors, in which the leading eigenvector corresponded to the principal fiber orientation at each location in the tissue. Excised axially oriented lingual core tissues (fresh or paraffin-embedded) were also imaged with a mode-locked Ti-Sapphire laser, (76 MHz repetition rate, 150 femtosecond pulse width), allowing for the visualization of individual myofibers at in situ orientation. Fiber orientation was assessed by computing the 3D autocorrelation of discrete image volumes, and deriving the minimal eigenvector of the center voxel Hessian matrix. DTI of the fibers, comprising the intrinsic core of the tongue, demonstrated directional heterogeneity, with two distinct populations of fibers oriented orthogonal to each other and in-plane to the axial perspective. Microscopic analysis defined this structural heterogeneity as discrete regions of in-plane parallel fibers, with an angular separation of ~80 degrees, thereby recapitulating the macroscopic angular relationship. This analysis, conceived at two different length scales, demonstrates that the lingual core is a spatially complex tissue, composed of repeating orthogonally oriented and in-plane fiber patches, which are capable of jointly producing hydrostatic elongation and displacement.     

Supramolecular organization of enzymes of the tricarboxylic acid cycle

In virtue of analysis of data on the interaction of tricarboxylic acid cycle enzymes with the mitochondrial inner membrane and data on the enzyme-enzyme interactions, the spatial structure for the tricarboxylic acid cycle enzyme complex (tricarboxylic acid cycle metabolon) is proposed. The alpha-ketoglutarate dehydrogenase complex, adsorbed on the mitochondrial inner membrane along one of its 3-fold symmetry axes, plays the key role in the formation of metabolon. Two association sites of the alpha-ketoglutarate dehydrogenase complex located on opposite sides of the complex participate in the interaction with the membrane. The tricarboxylic acid cycle enzyme complex contains one molecule of the alpha-ketoglutarate dehydrogenase complex and six molecules of each of the other enzymes of the tricarboxylic acid cycle, as well as aspartate aminotransferase and nucleosidediphosphate kinase. Succinate dehydrogenase, the integral protein of the mitochondrial inner membrane, is a component of the anchor site responsible for the assembly of metabolon on the membrane. The molecular mass of the complex (ignoring succinate dehydrogenase) is of 8.10(6) daltons. The metabolon symmetry corresponds to the D3 point symmetry group. It is supposed, that the tricarboxylic acid cycle enzyme complex interacts with other multienzyme complexes of the matrix and the electron transfer chain.     

Cryoelectron-microscopy image reconstruction of symmetry mismatches in bacteriophage phi29

A method has been developed for three-dimensional image reconstruction of symmetry-mismatched components in tailed phages. Although the method described here addresses the specific case where differing symmetry axes are coincident, the method is more generally applicable, for instance, to the reconstruction of images of viral particles that deviate from icosahedral symmetry. Particles are initially oriented according to their dominant symmetry, thus reducing the search space for determining the orientation of the less dominant, symmetry-mismatched component. This procedure produced an improved reconstruction of the sixfold-symmetric tail assembly that is attached to the fivefold-symmetric prolate head of phi29, demonstrating that this method is capable of detecting and reconstructing an object that included a symmetry mismatch. A reconstruction of phi29 prohead particles using the methods described here establishes that the pRNA molecule has fivefold symmetry when attached to the prohead, consistent with its proposed role as a component of the stator in the phi29 DNA packaging motor.     

A method for planar biaxial mechanical testing that includes in-plane shear.

A limitation in virtually all planar biaxial studies of soft tissues has been the inability to include the effects of in-plane shear. This is due to the inability of current mechanical testing devices to induce a state of in-plane shear, due to the added cost and complexity. In the current study, a straightforward method is presented for planar biaxial testing that induces a combined state of in-plane shear and normal strains. The method relies on rotation of the test specimen's material axes with respect to the device axes and on rotating carriages to allow the specimen to undergo in-plane shear freely. To demonstrate the method, five glutaraldehyde treated bovine pericardium specimens were prepared with their preferred fiber directions (defining the material axes) oriented at 45 deg to the device axes to induce a maximum shear state. The test protocol included a wide range of biaxial strain states, and the resulting biaxial data re-expressed in material axes coordinate system. The resulting biaxial data was then fit to the following strain energy function W: [equation: see text] where E'ij is the Green's strain tensor in the material axes coordinate system and c and Ai are constants. While W was able to fit the data very well, the constants A5 and A6 were found not to contribute significantly to the fit and were considered unnecessary to model the shear strain response. In conclusion, while not able to control the amount of shear strain independently or induce a state of pure shear, the method presented readily produces a state of simultaneous in-plane shear and normal strains. Further, the method is very general and can be applied to any anisotropic planar tissue that has identifiable material axes.     

Low-frequency Raman scattering by anharmonic DNA modes with A in equilibrium with B character modeled with a classical double-well oscillator

The optical modes of DNA that displace one strand against the other are modeled by the motion of an oscillator in an asymmetric quartic double-well potential whose minima represent the A- and B-conformations. Assuming that the variation of the polarizability during vibration derives mainly from the tilting of the base rings relative to the helix axis, the total polarizability tensor is shown to possess approximately ellipsoidal symmetry and to depend nonlinearly on the instantaneous displacement of the two strands. The Raman spectrum of a collection of randomly oriented molecules is calculated. It consists of one or more peaks with characteristic shape. The depolarization ratio is 3/4, independent of molecular conformation and frequency. The results are discussed in the light of existing experimental and theoretical information.     

Small integrating meter for assessing long-term exposure to magnetic fields.

A small, lightweight meter has been developed for magnetic-field measurements, particularly those needed for exposure-assessment purposes. This meter, known as the AMEX-3D, continuously measures all three axes of magnetic-flux density and electronically combines the data into a single estimate of cumulative exposure to the root-mean-square (rms) resultant flux density. The AMEX-3D weighs about 120 g, measures 2.7 cm x 5.1 cm x 10.2 cm, and is battery powered. Two panel-mounted jacks are provided for measuring battery voltage and for reading cumulative exposure data from the unit. The instrument has, within 3 dB, a flat response to magnetic flux densities at all frequencies in its 30-1,000 Hz bandwidth. A detailed analysis of error sources in the AMEX-3D leads to an estimate of +/- 20% as the accuracy of the instrument over its dynamic range, which extends from 0.02 to 15 microT. The AMEX-3D was tested in the field by asking electric-utility distribution linemen to wear AMEX-3D and EMDEX meters simultaneously while working. Agreement between the two measures of exposure was excellent.     

Structural analysis of the S-Layer of Lampropedia hyalina

The two-dimensional (2D) structure of the regularly structured surface layer (S-layer) of the gram-negative eubacterium Lampropedia hyalina has been determined at the molecular level to a nominal resolution of 2.1 nm by transmission electron microscopy and digital image processing. The inner, or “perforate,” layer consists of dimeric block-shaped units located at two-fold symmetry axes. These morphological dimers associate around three-fold symmetry axes to form a continuous layer with p6 symmetry and a lattice constant of 14.6 ± 0.4 nm. Scanning transmission electron microscopy (STEM) yields a mass-per-area (MPA) value for the perforate layer of 3.5 kDa/nm². The outer, or “punctate,” layer is composed of long, roughly cylindrical units centered on six-fold symmetry axes, which are connected by six fine linking arms joining at the three-fold symmetry axes to create a hexagonal layer with a lattice constant of 25.6 ± 0.5 nm. The MPA of the “composite”-i.e., perforate plus punctate—layer is 10.2 kDa/nm².     

A solid-state 31P-NMR investigation of the allosteric transition in glycogen phosphorylase b.

The catalytic role of the cofactor phosphate moiety at the active site of glycogen phosphorylase has been the subject of many investigations including solution-state high-resolution 31P-NMR studies. In this study the pyridoxal phosphate moiety in both the inactive and active forms of microcrystalline phosphorylase b has been investigated by high-resolution 31P magic-angle spinning NMR. The symmetry of the shielding tensor in model compounds at varying degrees of ionization is investigated and the results indicate a marked difference between the dianionic and monoanionic model compounds. Consequently the observed similarity in the principal tensor components describing the shielding tensor of the phosphorus nuclei present at the active site of both the R- and T-state conformations suggests that there is no change in ionization site upon activation in contrast to suggestions based upon isotropic shifts. Since previous relaxation measurements have pointed to the need to consider motional influences in such systems, several plausible models are considered. Subject to the assumption of congruency between the principal axis system describing the shielding interaction and molecular frame determined by the molecular symmetry axes, we conclude that the phosphate cofactor is dianionic in both forms.     

NeuroTerrain – a client-server system for browsing 3D biomedical image data sets

Background  

Three dimensional biomedical image sets are becoming ubiquitous, along with the canonical atlases providing the necessary spatial context for analysis. To make full use of these 3D image sets, one must be able to present views for 2D display, either surface renderings or 2D cross-sections through the data. Typical display software is limited to presentations along one of the three orthogonal anatomical axes (coronal, horizontal, or sagittal). However, data sets precisely oriented along the major axes are rare. To make fullest use of these datasets, one must reasonably match the atlas' orientation; this involves resampling the atlas in planes matched to the data set. Traditionally, this requires the atlas and browser reside on the user's desktop; unfortunately, in addition to being monolithic programs, these tools often require substantial local resources. In this article, we describe a network-capable, client-server framework to slice and visualize 3D atlases at off-axis angles, along with an open client architecture and development kit to support integration into complex data analysis environments.     

Backbone dynamics of the N-terminal domain of the HIV-1 capsid protein and comparison with the G94D mutant conferring cyclosporin resistance/dependence.

Nuclear magnetic resonance (NMR) (15)N relaxation methods have been used to characterize the backbone dynamics of the N-terminal core domain of the HIV-1 capsid protein (CA(151)). The domain, which has an unusually flat, triangular shape, tumbles in solution at 28 degrees C with an effective rotational correlation time of 11.5 ns. Relaxation data for backbone amides in the domain's seven alpha-helices are indicative of fully anisotropic rotational diffusion. The principal axes of the rotational diffusion tensor calculated from the NMR data are aligned to within 12-23 degrees of the principal axes of the inertial tensor, with the axis of fastest rotational diffusion coincident with that of minimal inertia, and vice versa. Large variations in the (15)N-(1)H nuclear Overhauser effects for individual amino acids correlate with the degree of convergence in the previously calculated NMR structure. In particular, the partially disordered residues Val86-Arg97 that contain the human cyclophilin A (CypA) packaging signal have (15)N heteronuclear NOEs and transversal relaxation rates consistent with a high degree of dynamic conformational averaging. The N-terminal domain of a CA mutant (G94D) that confers both resistance to and dependence on cyclosporin A analogues was also analyzed. Our results indicate that this mutation does not influence the conformation or dynamics of CA(151), and therefore probably affects the function of the protein by modifying essential intermolecular CA-CA interactions.