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Relationships between young modulus of elasticity, ash density, and MRI derived effective transverse relaxation T2* in tibial specimens.

OBJECTIVE: It has been hypothesized that the MR relaxation time T2* of bone marrow present in the intertrabecular spaces may be related to the density of the trabecular network and may be a predictor of trabecular bone properties. MATERIALS AND METHODS: To derive a relationship between the marrow relaxation time T2* and biomechanical properties of trabecular bone, we studied two sets of trabecular bone specimens from human tibiae. The first set consisted of 12 specimens that were defatted and immersed in saline; the second set consisted of 18 specimens with marrow in the trabecular spaces. The MR studies were conducted on a 1.5 T imaging system. In the first set of specimens, a GE sequence (TR = 70 ms; TE = 5, 10, 15, 20, 25 ms) was used to obtain images in the axial plane. In the second set, a water suppression pulse was used prior to an asymmetric SE sequence (TR = 300 ms; TE = 4, 8, 12, 16, 20, 24 ms) to obtain images in the axial, coronal, and sagittal planes. The T2* of the intertrabecular saline of the marrow fat was calculated assuming a monoexponential decay. In both sets, the elastic moduli were measured in three orthogonal directions (superoinferior, anteroposterior, and mediolateral). The ash density was determined after the completion of the experiments. RESULTS: Our results indicate a moderate significant negative correlation between T2* and ash density or elastic modulus (E) in both sets of specimens. The correlation coefficients were slightly improved between the transverse relaxation rate 1/T2* and bone density or E. We found a good correlation between T2* and the reciprocal ash density (r = 0.88) and between T2* and the reciprocal elastic modulus 1/E (r = 0.87 to r = 0.95) in the first set, while in the second set the correlation remained moderate. With use of a multiple linear regression model (1/E = a x T2* + b x 1/T2* + n), the reciprocal elastic moduli 1/E were predicted to > 90% by T2* and 1/T2* in the first set of specimens. This finding was not replicated with the second set of specimens. In the second set of specimens, we found poor to moderate correlation coefficients between the T2* times in the three orthogonal planes (r = 0.45 to r = 0.71). CONCLUSION: Trabecular bone properties such as density and strength may potentially be assessed with quantitative MR techniques. However, especially for in vitro studies, specimen preparation, acquisition parameters, and specimen geometry may have a significant impact on the obtained results.

Bone Density↗

Ultrasonic characterisation in determining elastic modulus of trabecular bone material.

The pulse transmission ultrasonic technique is used to characterise the actual pathway and the wavelength dependence in relation to the bone specimen and microstructural dimensions. The average velocity through individual trabecular bone is 2901 m s-1 (SD 161), and the mean velocity through cylindrical cancellous bone specimens is 2717 m s-1 (SD 171). Thus, the velocity through cylindrical cancellous bone specimens is underestimated by as much as 6.4% of that through individual trabeculae. There is a statistically significant difference in the ultrasonic velocity between individual trabeculae and cylindrical cancellous bone specimens (p = 0.0012).

Bone and Bones↗

Analysis of fluid film lubrication in artificial hip joint replacements with surfaces of high elastic modulus.

Lubrication mechanisms and contact mechanics have been analysed for total hip joint replacements made from hard bearing surfaces such as metal-on-metal and ceramic-on-ceramic. A similar analysis for ultra-high molecular weight polyethylene (UHMWPE) against a hard bearing surface has also been carried out and used as a reference. The most important factor influencing the predicted lubrication film thickness has been found to be the radial clearance between the ball and the socket. Full fluid film lubrication may be achieved in these hard/hard bearings provided that the surface finish of the bearing surface and the radial clearance are chosen correctly and maintained. Furthermore, there is a close relation between the predicted contact half width and the predicted lubrication film thickness. Therefore, it is important to analyse the contact mechanics in artificial hip joint replacements. Practical considerations of manufacturing these bearing surfaces have also been discussed.

Biocompatible Materials↗

Fluoride's effect on human dentin ultrasound velocity (elastic modulus) and tubule size.

Despite fluoride (F) use in caries prevention, not much is known about its effects on tooth quality. This study evaluated the effect of tooth F concentration ([F]) on selected dentin structural and mechanical properties. Third molars (n = 136) from Toronto, which has 1 part per million (p.p.m.) water [F], Montreal (0.2 p.p.m. water [F]), and Fortaleza (Brazil) (0.7 p.p.m. water [F]), were analyzed for [F], dental fluorosis (DF) severity, ultrasound velocity, and dentin tubule size and density. The enamel [F] was found to vary between 32 and 940 p.p.m., the dentin [F] was found to vary between 110 and 860 p.p.m., while the DF severity varied between TF0 and TF4. The enamel [F] showed no correlation with dentin [F], DF severity, ultrasound velocity, dentin tubule size or density. The dentin [F] correlated with DF severity, dentin tubule size, and ultrasound velocity. DF severity showed a correlation with dentin [F] and ultrasound velocity. It was concluded that dentin [F] is an indicator of dentin structural properties (dentin tubule size and ultrasound velocity), while DF severity is an indicator of dentin mechanical properties (ultrasound velocity).

Analysis of Variance↗

The effects of side-artifacts on the elastic modulus of trabecular bone.

Determining accurate density-mechanical property relationships for trabecular bone is critical for correct characterization of this important structure-function relation. When testing any excised specimen of trabecular bone, an unavoidable experimental artifact originates from the sides of the specimen where peripheral trabeculae lose their vertical load-bearing capacity due to interruption of connectivity, a phenomenon denoted here as the 'side-artifact'. We sought in this study to quantify the magnitude of such side-artifact errors in modulus measurement and to do so as a function of the trabecular architecture and specimen size. Using parametric computational analysis of high-resolution micro-CT-based finite-element models of cores of elderly human vertebral trabecular bone, a specimen-specific correction factor for the side-artifact was quantified as the ratio of the side-artifact-free apparent modulus (Etrue) to the apparent modulus that would be measured in a typical experiment (Emeasured). We found that the width over which the peripheral trabeculae were mostly unloaded was between 0.19 and 0.58 mm. The side-artifact led to an underestimation error in Etrue of over 50% in some specimens, having a mean (+/-SD) of 27+/-11%. There was a trend for the correction factor to linearly increase as volume fraction decreased (p=0.001) and as mean trabecular separation increased (p<0.001). Further analysis indicated that the error increased substantially as specimen size decreased. Two methods used for correcting for the side-artifact were both successful in bringing Emeasured into statistical agreement with Etrue. These findings have important implications for the interpretation of almost all literature data on trabecular bone mechanical properties since they indicate that such properties need to be adjusted to eliminate the substantial effects of side-artifacts in order to provide more accurate estimates of in situ behavior.

Aged↗

Anisotropy of the elastic modulus of trabecular bone specimens from different anatomical locations.

To associate the mechanical anisotropy of trabecular bone with the relationship between bone mineral density (BMD) and mechanical properties, 97 cubic specimens of human trabecular bone were imaged with computed tomography. Bone cubes from the spine, the calcaneus, the distal, and the proximal femur were tested multidirectionally to measure their compressive stiffness and to calculate their ratios of mechanical anisotropy. The ultimate strength was determined in a destructive test in cephalo-caudal (c-c) direction. Compressive stiffness was largest in the c-c direction for the specimens from the spine, as well as the distal and the proximal femur, but not the calcaneus. Anisotropy ratios in c-c direction were larger at the distal femur and the spine than in the proximal femur. The predictive power of BMD for the mechanical properties varied with anatomical location and strongly depended on the loading direction. While at the spine the c-c stiffness was highly correlated to BMD (r2 = 0.73), the perpendicular directions showed only modest correlations (r2 < 0.53). The correlations of mechanical properties with BMD were greatest at locations where the anisotropy was less pronounced (proximal femur) or rather uniform (spine). The data suggest that BMD can be most successfully applied to determine the mechanical properties in the principal loading direction, which from a clinical perspective may be most relevant.

Adult↗

Surface elastic modulus of barnacle adhesive and release characteristics from silicone surfaces.

The properties of barnacle adhesive on silicone surfaces were studied by AFM indentation, imaging, and other tests and compared to the barnacle shear adhesion strength. A multilayered structure of barnacle adhesive plaque is proposed based on layered modulus regions measured by AFM indentation. The fracture of barnacles from PDMS surfaces was found to include both interfacial and cohesive failure of barnacle adhesive plaque, as determined by protein staining of the substratum after forced barnacle release from the substrate. Data for freshly released barnacles showed that there was a strong correlation between the mean Young's modulus of the outermost (softest) adhesive layer (E<0.3 MPa) and the shear strength of adhesion, but no correlation for other higher modulus regions. Linear, quadratic, and Griffith's failure criterion (based on rough estimate of crack length) regressions were used in the fit, and showed significance.

Adhesives↗

Role of a finite exposure time on measuring an elastic modulus using microrheology.

The role of a finite exposure time sigma on measuring rheological properties using microrheology techniques is theoretically investigated. We concentrate on studying fluid models displaying a plateau in the mean-squared displacement (MSD) of the embedded probe particle. A model is developed to compare the resulting experimentally measured MSD of the particle to its expected value in the fluid model. A plateau MSD is greatly modified in a measurement when sigma is greater than the plateau onset time. Moreover, apparent dynamics drastically differ from the true dynamics at frequencies omega less than or approximately equal sigma(-1) . These results quantify when and how a finite exposure time effects the measured MSD of a probe particle which can then alter the extracted rheological properties and physical interpretations.

Journal Article↗

Behavior of the layer compression elastic modulus near, above, and below a smectic C-hexatic I critical point in binary mixtures.

We present the first study of the layer compression modulus B carried out near, above and below the Smectic C-Hexatic I critical point in racemic mixtures of methylbutyl phenyl octylbiphenyl-carboxylate (8SI) and the octyloxy biphenyl analog (8OSI), at frequencies ranging from 0.2 Hz to 2 x 10(3) Hz. The behavior of B as a function of temperature shows a progressive evolution from a first order transition in 8SI to a continuous supercritical behavior in 8OSI. The latter is characterized by an increase in B, which appears above the transition, and which is followed by a leveling off when the temperature is decreased towards the transition. It is proposed that this behavior stems from the relaxation of the hexatic domains which are frozen in the frequency range studied. For the supercritical and near-critical compounds, B exhibits a small dip near the transition temperature, which is visible in the low frequency range only, indicating that the dynamics associated with the critical point is very slow. We also report measurements in the Crystal-J phase of the pure compounds, and show that 8SI behaves mechanically as a hexatic phase and 8OSI as a soft crystal phase.

Journal Article↗

High resolution angiometers for the assessment of the elastic modulus.

Distensibility and compliance are vessel wall properties of large arteries that determine their dynamic behaviour and play a role in cardiovascular disease. At present, arterial distensibility and compliance can be accurately investigated using noninvasive ultrasound techniques. Echo-tracking devices in particular are suited to study local distensibility and compliance of several superficial large arteries. The best-known echo-tracking devices (Nius02 and Wall Track System) are briefly outlined with respect to their advantages and disadvantages. These techniques have shown a good reproducibility and accuracy. The two devices are complementary and can be applied to different parts of the arterial tree. The results of the studies done with echo-tracking devices give insight in the pathophysiologic mechanisms underlying cardiovascular diseases in different arterial territories. In to the future it may be possible to use local arterial wall properties together with cardiac wall hypertrophy as important markers of future cardiovascular risk and as relevant parameters for the evaluation of pharmacological interventions.

Aging↗