Stress relaxation behaviour of trabecular bone specimens

The present study defines several conditions under which stress relaxation tests can be performed and investigates the viscoelastic behaviour of trabecular bone in compression through a series of stress relaxation tests at three strain levels and in three loading directions of each cubic specimen. A visoelastic model is proposed to characterize the behaviour of trabecular bone and a spectrum of relaxation times is determined. Trabecular bone from the femoral head is non-linearly viscoelastic and displays anisotropic behaviour, which cannot be more symmetric elastically than orthotropic.     

Structure and function of bone collagen fibrils

The intermolecular volume of fully hydrated collagen fibrils from a number of mineralized and non-mineralized tissues of adult rats has been determined both by an exclusion technique and by a method which involves the monitoring of specific X-ray diffraction parameters. The intermolecular volume of either bone or dentinal fibrils is approximately twice that of either tail or achilles tendon, and the most frequent intermolecular distance in bone or dentine fibrils is approximately 3 Å larger than of the tendons.A number of fibrillar structures are most compatible with the intermolecular volume of rat tail tendon. These include hexagonal molecular packing and orthogonal arrays of microfibrils comprising seven parallel molecular strands. The intermolecular volume of bone or dentinal collagen fibrils, on the other hand, appears to arise from structures having a disordered or pseudo-hexagonal molecular packing, in which the most frequent intermolecular distance is about 19 Å.The space associated with collagen fibrils in adult bone is such that 70 to 80% of the mineral is located within the intermolecular space of the fibrils—approximately equal amounts of mineral being in spaces having lateral dimensions of 25 to 75 Å and 6 to 12 Å, respectively. Particles located in the latter kind of intermolecular space probably constitute, to a large extent, the non-crystalline mineral phase of adult bone.The stereo-chemical constraints on the transport of mineral ions into and within collagen fibrils of bone and tendon support the postulate that bone collagen is an in vivo catalyst for mineral deposition and further suggests that its catalytic activity may be partially regulated through its molecular packing.     

Dielectric relaxation of collagen in aqueous solutions

The complex dielectric constant of collagen in aqueous solutions (polymer concentration, C_p = 0.02–0.2%) was measured at 10°C in the frequency range from 3 Hz to 30 kHz. The loss peak for C_p = 0.02% is located at 90 Hz and the dielectric relaxation time τ_D is estimated to be 1.8 ± 0.3 msec. The τ_D agrees well with the rotational relaxation time estimated from the reduced viscosity, and the relaxation is ascribed to the end-over-end rotation of the molecule. The C_p dependence of τ_D and the dielectric increment Δε are interpreted in terms of the aggregation of molecules. The dipole moment of a molecule, obtained from Δε at C_p = 0.02% and pH 6.5, is (5.2 ± 0.2) × 10⁴D, which is explained by the asymmetrical distribution of the ionized side chains of the molecule.     

Stress and adrenal function

The natural environment is composed of various potentially hostile stressors. It is a basic requirement of life that the cells of an organism must be maintained within closely defined physiological limits. The maintenance of a constant interior mileu results from physiological and behavioural homeostatic adaptations. The physiological regulation of homeostatis is achieved by complex endocrine interactions, principally by the hormones secreted from the adrenal glands. In this brief review the responses of the avian adrenal glands to stressful stimuli, the mechanism of adrenal activation, and the function of the adrenal responses will be considered.     

Linear relaxation analysis of the mechanochemical transformation of collagen fibers

The isometric tensile stress generation observed when collagen fibers are immersed in aqueous solutions of lithium bromide ranging in molar concentration up to 7 was studied at 23°C. The reverse process, namely, isometric stress relaxation of the fiber occurring by subsequent immersion in distilled water, was also studied. We find that the data in the region of LiBr concentration up to about 2.5 moles/liter are adequately represented by a superposition integral where σ(t) is the time-dependent stress generated by the collagen fiber held at fixed length, c(t) is the history of LiBr molar concentration, and K(t) is the isometric contractility function, expressed as stress per unit salt concentration. We conclude that, within a limited range of salt concentration, a collagen fiber in a LiBr bath behaves as if it were a linear, time-invariant system defined mechanochemically by a single function K(t) which depends on the structural characteristics of the fiber while being independent of salt concentration. An analysis is presented of isometric mechanochemical data obtained under conditions of equilibrium by other workers who studied the behavior of collagen fibers in aqueous solutions either of urea, LiBr, or KCNS. The analysis shows that these independent (equilibrium) data confirm the linarity of the relation between isometric contractile stress and salt concentration on which our superposition integral representation is based. We also find that the asymptotic (infinite-time) value of the isometric stress is linearly related to the chemical potential of the salt as well, in agreement with the equilibrium thermodynamic treatment of mechanochemical processes by Katchalsky and Oplatka.     

Early stage-stress relaxation in compact bone

The early stage of stress relaxation, up to 10 s after strain application, in compact bone was investigated in order to find the limit of the applicability of the empirical equation (Sasaki et al., 1993. Journal of Biomechanics 26, 1369-1376), E(t) = E0{A1exp[-(t/tau1)beta]+A2exp(-t/tau)}, A1+A2 = 1, 0相似文献   

Stress relaxation of swine growth plate in semi-confined compression: depth dependent tissue deformational behavior versus extracellular matrix composition and collagen fiber organization

Mechanical environment is one of the regulating factors involved in the process of longitudinal bone growth. Non-physiological compressive loading can lead to infantile and juvenile musculoskeletal deformities particularly during growth spurt. We hypothesized that tissue mechanical behavior in sub-regions (reserve, proliferative and hypertrophic zones) of the growth plate is related to its collagen and proteoglycan content as well as its collagen fiber orientation. To characterize the strain distribution through growth plate thickness and to evaluate biochemical content and collagen fiber organization of the three histological zones of growth plate tissue. Distal ulnar growth plate samples (N = 29) from 4-week old pigs were analyzed histologically for collagen fiber organization (N = 7) or average zonal thickness (N = 8), or trimmed into the three average zones, based on the estimated thickness of each histological zone, for biochemical analysis of water, collagen and glycosaminoglycan content (N = 7). Other samples (N = 7) were tested in semi-confined compression under 10 % compressive strain. Digital images of the fluorescently labeled nuclei were concomitantly acquired by confocal microscopy before loading and after tissue relaxation. Strain fields were subsequently calculated using a custom-designed 2D digital image correlation algorithm. Depth-dependent compressive strain patterns and collagen content were observed. The proliferative and hypertrophic zone developed the highest axial and transverse strains, respectively, under compression compared to the reserve zone, in which the lowest axial and transverse strains arose. The collagen content per wet mass was significantly lower in the proliferative and hypertrophic zones compared to the reserve zone, and all three zones had similar glycosaminoglycan and water content.Polarized light microscopy showed that collagen fibers were mainly organized horizontally in the reserve zone and vertically aligned with the growth direction in the proliferative and hypertrophic zones. Higher strains were developed in growth plate areas (proliferative and hypertrophic) composed of lower collagen content and of vertical collagen fiber organization. The stiffer reserve zone, with its higher collagen content and collagen fibers oriented to restrain lateral expansion under compression, could play a greater role of mechanical support compared to the proliferative and hypertrophic zones, which could be more susceptible to be involved in an abnormal growth process.     

Post-yield relaxation behavior of bovine cancellous bone

Relaxation studies were conducted on specimens of bovine cancellous bone at post-yield strains. Stress and strain were measured for 1000 s and the relaxation modulus was determined. Fifteen cylindrical, cancellous bone specimens were removed from one bovine femur in the anterior–posterior direction. The relaxation modulus was found to be a function of strain. Therefore cancellous bone is non-linearly viscoelastic/viscoplastic in the plastic region. A power law regression was fit to the relaxation modulus data. The multiplicative constant was found to be statistically related through a power law relationship to both strain (p<0.0005) and apparent density (p<0.0005) while the power coefficient was found to be related through a power law relationship, E(t, ε)=A(ε)t^?n(ε), to strain (p<0.0005), but not apparent density.     

T3 affects expression of collagen I and collagen cross-linking in bone cell cultures

Thyroid hormones (T3, T4) have a broad range of effects on bone, however, its role in determining the quality of bone matrix is poorly understood. In-vitro, the immortalized mouse osteoblast-like cell line MC3T3-E1 forms a tissue like structure, consisting of several cell layers, whose formation is affected by T3 significantly. In this culture system, we investigated the effects of T3 on cell multiplication, collagen synthesis, expression of genes related to the collagen cross-linking process and on the formation of cross-links.T3 compared to controls modulated cell multiplication, up-regulated collagen synthesis time and dose dependently, and stimulated protein synthesis. T3 increased mRNA expressions of procollagen-lysine-1,2-oxoglutarate 5-dioxygenase 2 (Plod2) and of lysyloxidase (Lox), both genes involved in post-translational modification of collagen. Moreover, it stimulated mRNA expression of bone morphogenetic protein 1 (Bmp1), the processing enzyme of the lysyloxidase-precursor and of procollagen. An increase in the collagen cross-link-ratio Pyr/deDHLNL indicates, that T3 modulated cross-link maturation in the MC3T3-E1 culture system. These results demonstrate that T3 directly regulates collagen synthesis and collagen cross-linking by up-regulating gene expression of the specific cross-link related enzymes, and underlines the importance of a well-balanced concentration of thyroid hormones for maintenance of bone quality.     

Neutron studies of collagen in lathyritic bone

Lathyrism is induced because BAPN inhibits lysyl oxidase mediated crosslinking in collagen. Various degrees of lathyrism were induced in weanling NZ white rabbits by controlling the daily dose level in six groups: 0, 0.05, 0.1, 0.2, 0.4 and 1.0 g/kg/day for 12 weeks. Three properties, equatorial diffraction spacing in bone collagen, the fraction of bone matrix soluble in 0.5 m acetic acid and bone density were related to BAPN dosage. Equatorial diffraction spacing increased from 1.235 to 1.275 nm, the soluble bone matrix fraction increased from 0.087 to 0.275 and the minimum bone density decreased from 1.98 to 1.74 g/cm³. There seems to be no minimum critical dose for BAPN. The fastest change in bone properties occurs at the lowest dosages. There is a dose dependent relationship between BAPN and lysyl oxidase mediated crosslinking density as measured by the acid soluble bone matrix fraction. It is not clear that other bone properties are directly or indirectly controlled by the bone collagen lysyl oxidase mediated crosslinking.     

Micromechanical response of mineral and collagen phases in bone

We report the first simultaneous quantification of Young's modulus in the separate material phases of bone: collagen and carbonated hydroxyapatite. High-energy X-ray scattering and in situ loading revealed macroscopic, mineral, and collagen Young's moduli (90% confidence limit) for a canine fibula equaled 24.7(0.2) GPa, 38.2(0.5) GPa {for 00.4 and 43.6(1.4) GPa for 22.2}, and 18(1.2) GPa, respectively. The mineral contained compressive residual stresses on the order of -60 to -80 MPa before loading and had a stress enhancement (ratio of internal to applied stress) between 2.0 and 2.3. The diffraction peak width increased with increasing applied stress, mainly along the bone's longitudinal direction, and peak widths returned to pre-deformation values when load was removed. In a second fibula section from the same animal, the mineral's internal stress changed from -50 MPa (22.2 reflection) to -75 MPa (00.4) just after removal from formalin to -10 MPa after eight hours immersion in phosphate-buffered saline; the corresponding change in collagen D-spacing DeltaD/D equaled 4.2x10(-3).     

Thermal stabilization of collagen in skin and decalcified bone

The state of collagen molecules in the fibres of tail tendon, skin and demineralized bone has been investigated in situ using differential scanning calorimetry (DSC). Hydroxyproline analysis and tissue digestion with bacterial collagenase and trypsin were used to confirm that the common cause of all the DSC endotherms was collagen denaturation. This occurred within a narrow temperature range in tendons, but over a wide temperature range in demineralized bone and old skin and demonstrated that in tendon and demineralized bone at least the same type I collagen molecule exists in different thermal states. Hypothesizing that this might be caused by different degrees of confinement within the fibre lattice, experiments were performed to measure the effect of changing the lattice dimensions by extracting the collagen into dilute solution with pepsin, swelling the lattice in acetic acid, and contracting the lattice by dehydration. A theoretical analysis was undertaken to predict the effect of dehydration. Results were consistent with the hypothesis, demonstrating that collagen molecules within the natural fibres of bone and old skin are located at different intermolecular spacings, revealing differences between molecules in the magnitude of either the attractive or repulsive forces controlling their separation. One potential cause of such variation is known differences in covalent cross-linking.     

Stress relaxation of contracted collagen gels: disruption of actin filament bundles, release of cell surface fibronectin, and down-regulation of DNA and protein synthesis

Relaxation of stressed collagen gels provides a model system uniquely suited to studying the regulation of cell morphology and biosynthetic function by tissue organization. Stress relaxation results in rapid, synchronous changes in cell morphology without enzymatic or other drug treatments, and makes possible an analysis of the initial cellular events associated with changes in tissue organization. During the first hour after stress relaxation, we observed transient hypercontraction of collagen gels and loss of collagen fibril organization as stress in the system dissipated. Morphological changes in the fibroblasts included retraction of pseudopodia, collapse of cytoplasmic actin filament bundles, and loss of cell surface fibronectin. Accompanying these morphological changes, we observed marked decreases in DNA and protein synthesis, especially of fibronectin and type I procollagens. These results show that changes in tissue organization can exert rapid and profound effects on the morphology and biosynthetic function of cells within the tissue.