Reactive oxygen species on bone mineral density and mechanics in Cu,Zn superoxide dismutase (Sod1) knockout mice

Reactive oxygen species (ROS) play a role in a number of degenerative conditions including osteoporosis. Mice deficient in Cu,Zn-superoxide dismutase (Sod1) (Sod1^−/− mice) have elevated oxidative stress and decreased muscle mass and strength compared to wild-type mice (WT) and appear to have an accelerated muscular aging phenotype. Thus, Sod1^−/− mice may be a good model for evaluating the effects of free radical generation on diseases associated with aging. In this experiment, we tested the hypothesis that the structural integrity of bone as measured by bending stiffness (EI; N/mm²) and strength (MPa) is diminished in Sod1^−/− compared to WT mice. Femurs were obtained from male and female WT and Sod1^−/− mice at 8 months of age and three-point bending tests were used to determine bending stiffness and strength. Bones were also analyzed for bone mineral density (BMD; mg/cc) using micro-computed tomography. Femurs were approximately equal in length across all groups, and there were no significant differences in BMD or EI with respect to gender in either genotype. Although male and female mice demonstrated similar properties within each genotype, Sod1^−/− mice exhibited lower BMD and EI of femurs from both males and females compared with gender matched WT mice. Strength of femurs was also lower in Sod1^−/− mice compared to WT as well as between genders. These data indicate that increased oxidative stress, due to the deficiency of Sod1 is associated with decreased bone stiffness and strength and Sod1^−/− mice may represent an appropriate model for studying disease processes in aging bone.     

Hepcidin deficiency undermines bone load-bearing capacity through inducing iron overload

Osteoporosis is one of the leading disorders among aged people. Bone loss results from a number of physiological alterations, such as estrogen decline and aging. Meanwhile, iron overload has been recognized as a risk factor for bone loss. Systemic iron homeostasis is fundamentally governed by the hepcidin–ferroportin regulatory axis, where hepcidin is the key regulator. Hepcidin deficiency could induce a few disorders, of which iron overload is the most representative phenotype. However, there was little investigation of the effects of hepcidin deficiency on bone metabolism. To this end, hepcidin-deficient (Hamp1^−/−) mice were employed to address this issue. Our results revealed that significant iron overload was induced in Hamp1^−/− mice. Importantly, significant decreases of maximal loading and maximal bending stress were found in Hamp1^−/− mice relative to wildtype (WT) mice. Moreover, the levels of the C-telopeptide of type I collagen (CTX-1) increased in Hamp1^−/− mice. Therefore, hepcidin deficiency resulted in a marked reduction of bone load-bearing capacity likely through enhancing bone resorption, suggesting a direct correlation between hepcidin deficiency and bone loss. Targeting hepcidin or the pathway it modulates may thus represent a therapeutic for osteopenia or osteoporosis.     

Effects of long-term supplementation with omega-3 fatty acids on longitudinal changes in bone mass and microstructure in mice

A diet rich in omega-3s has previously been suggested to prevent bone loss. However, evidence for this has been limited by short exposure to omega-3 fatty acids (FAs). We investigated whether a diet enriched in eicosapentaenoic acid (EPA) or docosahexaenoic acid (DHA) for the entire adult life of mice could improve bone microstructure and strength. Thirty female mice received a diet enriched in DHA or EPA or an isocaloric control diet from 3 to 17 months of age. Changes in bone microstructure were analyzed longitudinally and biomechanical properties were analysed by a three-point bending test. Bone remodelling was evaluated by markers of bone turnover and histomorphometry. Trabecular bone volume in caudal vertebrae was improved by EPA or DHA at 8 months (+26.6% and +17.2%, respectively, compared to +3.8% in controls, P=.01), but not thereafter. Trabecular bone loss in the tibia was not prevented by omega-3 FAs (BV/TV −94%, −93% and −97% in EPA, DHA and controls, respectively). EPA improved femur cortical bone volume (+8.1%, P<.05) and thickness (+4.4%, P<.05) compared to controls. EPA, but not DHA, reduced age-related decline of osteocalcin (−70% vs. −83% in controls, P<.05). EPA and DHA increased leptin levels (7.3±0.7 and 8.5±0.5 ng ml⁻¹, respectively, compared to 4.5±0.9 ng ml⁻¹ in controls, P=.001); however, only EPA further increased IGF-1 levels (739±108 ng ml⁻¹, compared to 417±58 ng ml⁻¹ in controls, P=.04). These data suggest that long-term intake of omega-3 FA, particularly EPA, may modestly improve the structural and mechanical properties of cortical bone by an increase in leptin and IGF-1 levels, without affecting trabecular bone loss.     

Accuracy and reproducibility of bending stiffness measurements by mechanical response tissue analysis in artificial human ulnas

Osteoporosis is characterized by reduced bone strength, but no FDA-approved medical device measures bone strength. Bone strength is strongly associated with bone stiffness, but no FDA-approved medical device measures bone stiffness either. Mechanical Response Tissue Analysis (MRTA) is a non-significant risk, non-invasive, radiation-free, vibration analysis technique for making immediate, direct functional measurements of the bending stiffness of long bones in humans in vivo. MRTA has been used for research purposes for more than 20 years, but little has been published about its accuracy. To begin to investigate its accuracy, we compared MRTA measurements of bending stiffness in 39 artificial human ulna bones to measurements made by Quasistatic Mechanical Testing (QMT). In the process, we also quantified the reproducibility (i.e., precision and repeatability) of both methods. MRTA precision (1.0±1.0%) and repeatability (3.1±3.1%) were not as high as those of QMT (0.2±0.2% and 1.3+1.7%, respectively; both p<10⁻⁴). The relationship between MRTA and QMT measurements of ulna bending stiffness was indistinguishable from the identity line (p=0.44) and paired measurements by the two methods agreed within a 95% confidence interval of ±5%. If such accuracy can be achieved on real human ulnas in situ, and if the ulna is representative of the appendicular skeleton, MRTA may prove clinically useful.     

Collagen fiber organization is related to mechanical properties and remodeling in equine bone. A comparsion of two methods

We studied birefringence as an indicator of collagen fiber orientation in the diaphysis of the equine third metacarpal bone. We had previously shown that tissue from the lateral cortex of this bone is stronger monotonically, but less fatigue resistant, than tissue from the medial and dorsal regions. To learn whether collagen fiber orientation might play a role in this regional specialization, we tested three hypotheses using the same specimens: (1) collagen fiber orientation is regionally dependent; (2) remodeling changes collagen fiber orientation; (3) longitudinal collagen fibers correlate positively with modulus and monotonic bending strength and negatively with flexural fatigue life. Beams (N=36) cut parallel to the long axes of six pairs of bones had been tested to determine elastic modulus (N=36), and fatigue life (N=24) or monotonic strength (N=12) in four-point bending. Subsequently, histologic cross-sections were prepared, and porosity, active remodeling and past remodeling were quantified. Birefringence was measured as an indicator of transverse collagen orientation using plane-polarized light (PPL), and again using circularly polarized light (CPL). The CPL measurement was less variable than the PPL measurement. Both birefringence measures indicated that collagen was more longitudinally oriented in the lateral cortex than in the other two cortices. Longitudinally disposed collagen correlated with greater modulus and monotonic strength, but did not correlate with fatigue life. Remodeling was associated with more transverse collagen. Neither measure of birefringence was significantly correlated with porosity. It was concluded that, in the equine cannon bone, longitudinal collagen fiber orientation is regionally variable, contributes to increased modulus and strength but not fatigue life, and is reduced by osteonal remodeling.     

Enhanced atherothrombotic formation after oxidative injury by FeCl3 to the common carotid artery in severe combined hyperlipidemic mice

Enhanced susceptibility to atherosclerosis from severe hypertriglyceridemia (HTG) resulting from lipoprotein lipase (LPL) deficiency has been demonstrated in our recent findings which employed a unique mouse model. In the present study we provide further evidence that severe HTG due to LPL deficiency also promotes an atherothrombotic response to arterial injury induced by ferric chloride in a severe combined hyperlipidemic mouse model. Methods and results: A mouse model (LPL^−/−XApoE^−/− double knockout, DKO) with severe combined hyperlipidemia was established by crossing ApoE and LPL-deficient mice. The common carotid arteries of ApoE knockout (EKO) and DKO mice were subjected to injury by ferric chloride, and the formation of arterial thrombosis together with various markers were compared in these lesions. DKO mice demonstrated significantly enhanced thrombus formation overlying atherosclerotic plaque after injury, which contained smooth muscle cells, macrophages, and neutral lipid. The area of neointima, mean intima/media ratios, and the percentage of luminal stenosis were significantly greater (P < 0.01) in DKO mice. Compared with EKO mice, the expression of von Willebrand factor (vWF) and plasminogen activator inhibitor type 1 (PAI-1) were increased in DKO mice. Conclusions: Severe combined hyperlipidemia promotes thrombosis after ferric chloride injury to atherosclerotic vessels and HTG plays a major role in the process.     

Thyroid-stimulating hormone maintains bone mass and strength by suppressing osteoclast differentiation

It has been suggested that pituitary hormone might be associated with bone metabolism. To investigate the role of thyroid-stimulating hormone (TSH) in bone metabolism, we designed the present study as follows. After weaning, TSH receptor (TSHR) null mice (Tshr^−/−) were randomly divided into a thyroxine treatment group (n=10) or non-treatment group (n=10); the treatment group received a dose of desiccated thyroid extract at 100 ppm daily for 5 weeks. Age-matched wild-type (Tshr^+/+, n=10) and heterozygote mice (Tshr^+/−, n=10) served as controls. After 5 weeks, the animals were sacrificed, and the femurs were collected for histomorphometrical and biomechanical analyses. In addition, the effect of TSH on osteoclastogenesis was examined in the RAW264.7 osteoclast cell line. We found that compared with Tshr^+/+ mice, Tshr^−/− and Tshr^+/− mice had lower bone strength. The histomorphometric results showed that trabecular bone volume, osteoid surface, osteoid thickness and osteoblast surface were significantly decreased, whereas the osteoclast surface was significantly increased in both Tshr^−/− and Tshr^+/− mice compared with Tshr^+/+ mice. Bone resorption and formation in Tshr^−/− mice were further enhanced by thyroxine replacement. bTSH inhibited osteoclast differentiation in vitro, as demonstrated by reduced development of TRAP-positive cells and down-regulation of differentiation markers, including tartrate-resistant acid phosphatase, matrix metallo-proteinase-9 and cathepsin K in RAW264.7 cells. Our results confirm that TSH increased bone volume and improved bone microarchitecture and strength at least partly by inhibiting osteoclastogenesis.     

Predicting surface strains at the human distal radius during an in vivo loading task — Finite element model validation and application

Bone strains resulting from physical activity are thought to be a primary driver of bone adaptation, but cannot be directly noninvasively measured. Because bone adapts nonuniformly, physical activity may make an important independent structural contribution to bone strength that is independent of bone mass and density. Our objective was to create and validate methods for subject-specific finite element (FE) model generation that would accurately predict the surface strains experienced by the distal radius during an in vivo loading task, and to apply these methods to a group of 23 women aged 23–35 to examine variations in strain, bone mass and density, and physical activity. Four cadaveric specimens were experimentally tested and specimen-specific FE models were developed to accurately predict periosteal surface strains (root mean square error=16.3%). In the living subjects, when 300 N load was simulated, mean strains were significantly inversely correlated with BMC (r=−0.893), BMD (r=−0.892) and physical activity level (r=−0.470). Although the group of subjects was relatively homogenous, BMD varied by two-fold (range: 0.19–0.40 g/cm³) and mean energy-equivalent strain varied by almost six-fold (range: 226.79–1328.41 με) with a simulated 300 N load. In summary, we have validated methods for estimating surface strains in the distal radius that occur while leaning onto the palm of the hand. In our subjects, strain varied widely across individuals, and was inversely related to bone parameters that can be measured using clinical CT, and inversely related to physical activity history.     

CTRP3 plays an important role in the development of collagen-induced arthritis in mice

Rheumatoid arthritis (RA) is an autoimmune inflammatory disease exhibited most commonly in joints. We found that the expression of C1qtnf3, which encodes C1q/TNF-related protein 3 (CTRP3), was highly increased in two mouse RA models with different etiology. To elucidate the pathogenic roles of CTRP3 in the development of arthritis, we generated C1qtnf3^−/− mice and examined the development of collagen-induced arthritis in these mice. We found that the incidence and severity score was higher in C1qtnf3^−/− mice compared with wild-type (WT) mice. Histopathology of the joints was also more severe in C1qtnf3^−/− mice. The levels of antibodies against type II collagen and pro-inflammatory cytokine mRNAs in C1qtnf3^−/− mice were higher than WT mice. These observations indicate that CTRP3 plays an important role in the development of autoimmune arthritis, suggesting CTRP3 as a possible medicine to treat RA.     

Local irradiation alters bone morphology and increases bone fragility in a mouse model

Insufficiency fracture following radiation therapy (RTx) is a challenging clinical problem and typical bone mass measures fail to predict these fractures. The goals of this research were to develop a mouse model that results in reduced bone strength following focal irradiation, quantify morphological and strength changes occurring over time, and determine if a positive correlation between bone morphology and strength is retained after irradiation. Right hind limbs of 13 week-old female Balb/c mice were irradiated (5 or 20 Gy) using a therapeutic X-ray unit. Left limbs served as control. Animals were euthanized at 2, 6, 12, or 26 weeks. Axial compression tests of the distal femur were used to quantify whole bone strength. Specimen-specific, non-linear finite element (FE) analyses of the mechanical tests were performed using voxel-based meshes with two different material failure models: a linear bone density–strength relationship and a non-linear ‘embrittled’ relationship. Radiation resulted in a dose dependent increase in cortical bone density and marked loss of trabecular bone, measured using micro-CT. An early (2 week) increase in bone volume was associated with an increase in bone strength following irradiation; at 12 weeks there was a loss of bone strength despite higher bone volume for irradiated limbs. There was a positive correlation between bone volume bone and strength in control (r²=0.63) but not irradiated femora (r²=0.08). FE analysis with a constant strain failure model resulted in improved prediction of bone strength for irradiated limbs (r²=0.34) and this was improved further with the embrittled material model (r²=0.46). In summary, focal irradiation leads to substantial changes in bone morphology and strength with time, where there is a decreased bone strength following irradiation in the face of increasing bone mass; FE models with a non-linear embrittled material model were most successful in simulating these experimental findings.     

Predicting the permeability of trabecular bone by micro-computed tomography and finite element modeling

The intrinsic permeability of bone plays an important role in the transport of nutrients and minerals within the tissue, and affects the mechanical stimuli that are related to the fate of the stem cells. The objective of this study was to establish a method to assess trabecular bone permeability using experimental and finite element (FE) modeling approaches based on micro computed tomography (µCT) images. Human cadaveric tibia cube specimens (N=23) were scanned with µCT. The permeability was measured experimentally using a custom-developed constant-head permeameter, and computationally by a poroelastic formulation to simulate the fluid flow within the discretized bone matrix and pore phase. The average of the experimentally measured permeability was 4.84×10⁻¹⁰ m² with a standard deviation of 3.70×10⁻¹⁰ m². A regression model of the µCT determined that the maximum bone area to total area ratio (maxBA/TA) for all slices that are perpendicular to the direction of fluid flow explained 84% of the variability of the natural logarithm of the experimentally measured permeability. The 2D measure of maxBA/TA performed better than 3D measures in general, although some parameters were reasonably well associated with permeability such as bone volume ratio (BV/TV, r=−0.71), the bone surface/bone volume (BS/BV, r=0.73), and the trabecular thickness (TbTh, r=−0.71). The correlation between the permeability predicted with FE models and experimentally measured permeability was reasonable (r=0.69), but the FE approach did not accurately represent the wide variability of permeability measured experimentally. The results of this study suggest that the changes in the trabecular bone microarchitecture have an exponential relationship with permeability, and the use of µCT-based 2D measurement of maxBA/TA performs well at predicting permeability, thus providing a convenient approach to measure this important aspect affecting biomechanical functions in the tissue.     

Hematopoietic stem cell aging is associated with functional decline and delayed cell cycle progression

The molecular mechanisms underlying hematopoietic stem cell (HSC) aging remain to be elucidated. In this study, we investigated age-related changes in the functional and phenotypic properties of murine HSCs. Consistent with previous studies, we found that the number and frequency of CD34^−/lowc-Kit⁺Sca-1⁺lineage marker⁻ (CD34⁻KSL) cells, a highly enriched HSC population, significantly increased in old mice, though their repopulating ability was reduced. Continuous bromodeoxyuridine labeling revealed a significant delay in the cell cycle progression of CD34⁻KSL cells in old mice. This delay was also observed in young recipients transplanted with whole bone marrow cells from old mice. When cultured in vitro, CD34⁻KSL cells from old mice showed a greater capacity to give rise to primitive CD48⁻KSL cells with reduced HSC activity. Gene expression profiling identified age-related changes in the expression of several cell cycle regulatory genes, including p21/Cdkn1a and p18/Cdkn2c. These results support the notion that HSC aging is largely regulated by an intrinsic genetic program.     

The mineral dissolution function of osteoclasts is dispensable for hypertrophic cartilage degradation during long bone development and growth

During long bone development and post-natal growth, the cartilaginous model of the skeleton is progressively replaced by bone, a process known as endochondral ossification. In the primary spongiosa, osteoclasts degrade the mineralized cartilage produced by hypertrophic chondrocytes to generate cartilage trabeculae that osteoblasts embed in bone matrix. This leads to the formation of the trabecular bone network of the secondary spongiosa that will undergo continuous remodeling. Osteoclasts are specialized in mineralized tissue degradation, with the combined ability to solubilize hydroxyapatite and to degrade extracellular matrix proteins. We reported previously that osteoclasts lacking Dock5 could not degrade bone due to abnormal podosome organization and absence of sealing zone formation. Consequently, adult Dock5^−/− mice have increased trabecular bone mass. We used Dock5^−/− mice to further investigate the different functions of osteoclast during endochondral bone formation. We show that long bones are overall morphologically normal in developing and growing Dock5^−/− mice. We demonstrate that Dock5^−/− mice also have normal hypertrophic cartilage and cartilage trabecular network. Conversely, trabecular bone volume increased progressively in the secondary spongiosa of Dock5^−/− growing mice as compared to Dock5^+/+ animals, even though their osteoclast numbers were the same. In vitro, we show that Dock5^−/− osteoclasts do present acidic compartments at the ventral plasma membrane and produce normal amounts of active MMP9, TRAP and CtsK for matrix protein degradation but they are unable to solubilize minerals. These observations reveal that contrarily to bone resorption, the ability of osteoclasts to dissolve minerals is dispensable for the degradation of mineralized hypertrophic cartilage during endochondral bone formation.     

Dysfunctional tendon collagen fibrillogenesis in collagen VI null mice

Tendons are composed of fibroblasts and collagen fibrils. The fibrils are organized uniaxially and grouped together into fibers. Collagen VI is a non-fibrillar collagen expressed in developing and adult tendons. Human collagen VI mutations result in muscular dystrophy, joint hyperlaxity and contractures. The purpose of this study is to determine the functional roles of collagen VI in tendon matrix assembly. During tendon development, collagen VI was expressed throughout the extracellular matrix, but enriched around fibroblasts and their processes. To analyze the functional roles of collagen VI a mouse model with a targeted inactivation of Col6a1 gene was utilized. Ultrastructural analysis of Col6a1−/− versus wild type tendons demonstrated disorganized extracellular micro-domains and associated collagen fibers in the Col6a1−/− tendon. In Col6a1−/− tendons, fibril structure and diameter distribution were abnormal compared to wild type controls. The diameter distributions were shifted significantly toward the smaller diameters in Col6a1−/− tendons compared to controls. An analysis of fibril density (number/μm²) demonstrated a ~ 2.5 fold increase in the Col6a1−/− versus wild type tendons. In addition, the fibril arrangement and structure were aberrant in the peri-cellular regions of Col6a1−/− tendons with frequent very large fibrils and twisted fibrils observed restricted to this region. The biomechanical properties were analyzed in mature tendons. A significant decrease in cross-sectional area was observed. The percent relaxation, maximum load, maximum stress, stiffness and modulus were analyzed and Col6a1−/− tendons demonstrated a significant reduction in maximum load and stiffness compared to wild type tendons. An increase in matrix metalloproteinase activity was suggested in the absence of collagen VI. This suggests alterations in tenocyte expression due to disruption of cell-matrix interactions. The changes in expression may result in alterations in the peri-cellular environment. In addition, the absence of collagen VI may alter the sequestering of regulatory molecules such as leucine rich proteoglycans. These changes would result in dysfunctional regulation of tendon fibrillogenesis indirectly mediated by collagen VI.     

Sclerostin deficient mice rapidly heal bone defects by activating β-catenin and increasing intramembranous ossification

We investigated the influence of the osteocyte protein, sclerostin, on fracture healing by examining the dynamics and mechanisms of repair of single-cortex, stabilized femoral defects in sclerostin knockout (Sost^−/−; KO) and sclerostin wild-type (Sost^+/+; WT) mice. Fourteen days following generation of bone defects, Sost KO mice had significantly more bone in the healing defect than WT mice. The increase in regenerating bone was due to an increase in the thickness of trabecularized spicules, osteoblast numbers and surfaces within the defect. Enhanced healing of bone defects in Sost KO mice was associated with significantly more activated β-catenin expression than observed in WT mice. The findings were similar to those observed in Axin2^−/− mice, in which β-catenin signaling is known to be enhanced to facilitate bone regeneration. Taken together, these data indicate that enhanced β-catenin signaling is present in Sost^−/− mice that demonstrate accelerated healing of bone defects, suggesting that modulation of β-catenin signaling in bone could be used to promote fracture repair.     

Fibroblast growth factor receptor 1 regulates the differentiation and activation of osteoclasts through Erk1/2 pathway

To elucidate the direct role and mechanism of FGFR1 signaling in the differentiation and activation of osteoclasts, we conditionally inactivated FGFR1 in bone marrow monocytes and mature osteoclasts of mice. Mice deficient in FGFR1 (Fgfr1^−/−) exhibited misregulated bone remodeling with reduced osteoclast number and impaired osteoclast function. In vitro assay demonstrated that the number of tartrate-resistant acid phosphatase (TRAP) positive osteoclasts derived from bone marrow monocytes of Fgfr1^−/− mice was significantly diminished. The bone resorption activity of mature osteoclasts derived from Fgfr1^−/− mice was also suppressed. Further analysis showed that the osteoclasts with FGFR1 deficiency exhibited downregulated expression of genes related to osteoclastic activity including TRAP and MMP-9. The phosphorylation of Erk1/2 mitogen-activated protein (MAP) kinase was also decreased. Our results suggest that FGFR1 is indispensable for complete differentiation and activation of osteoclasts in mice.     

Ductile sliding between mineral crystals followed by rupture of collagen crosslinks: Experimentally supported micromechanical explanation of bone strength

There is an ongoing discussion on how bone strength could be explained from its internal structure and composition. Reviewing recent experimental and molecular dynamics studies, we here propose a new vision on bone material failure: mutual ductile sliding of hydroxyapatite mineral crystals along layered water films is followed by rupture of collagen crosslinks. In order to cast this vision into a mathematical form, a multiscale continuum micromechanics theory for upscaling of elastoplastic properties is developed, based on the concept of concentration and influence tensors for eigenstressed microheterogeneous materials. The model reflects bone's hierarchical organization, in terms of representative volume elements for cortical bone, for extravascular and extracellular bone material, for mineralized fibrils and the extrafibrillar space, and for wet collagen. In order to get access to the stress states at the interfaces between crystals, the extrafibrillar mineral is resolved into an infinite amount of cylindrical material phases oriented in all directions in space. The multiscale micromechanics model is shown to be able to satisfactorily predict the strength characteristics of different bones from different species, on the basis of their mineral/collagen content, their intercrystalline, intermolecular, lacunar, and vascular porosities, and the elastic and strength properties of hydroxyapatite and (molecular) collagen.     

A regression-based 3-D shoulder rhythm

In biomechanical modeling of the shoulder, it is important to know the orientation of each bone in the shoulder girdle when estimating the loads on each musculoskeletal element. However, because of the soft tissue overlying the bones, it is difficult to accurately derive the orientation of the clavicle and scapula using surface markers during dynamic movement. The purpose of this study is to develop two regression models which predict the orientation of the clavicle and the scapula. The first regression model uses humerus orientation and individual factors such as age, gender, and anthropometry data as the predictors. The second regression model includes only the humerus orientation as the predictor. Thirty-eight participants performed 118 static postures covering the volume of the right hand reach. The orientation of the thorax, clavicle, scapula and humerus were measured with a motion tracking system. Regression analysis was performed on the Euler angles decomposed from the orientation of each bone from 26 randomly selected participants. The regression models were then validated with the remaining 12 participants. The results indicate that for the first model, the r² of the predicted orientation of the clavicle and the scapula ranged between 0.31 and 0.65, and the RMSE obtained from the validation dataset ranged from 6.92° to 10.39°. For the second model, the r² ranged between 0.19 and 0.57, and the RMSE obtained from the validation dataset ranged from 6.62° and 11.13°. The derived regression-based shoulder rhythm could be useful in future biomechanical modeling of the shoulder.     

In Vitro Fracture Testing of Submicron Diameter Collagen Fibril Specimens

Mechanical testing of collagenous tissues at different length scales will provide improved understanding of the mechanical behavior of structures such as skin, tendon, and bone, and also guide the development of multiscale mechanical models. Using a microelectromechanical-systems (MEMS) platform, stress-strain response curves up to failure of type I collagen fibril specimens isolated from the dermis of sea cucumbers were obtained in vitro. A majority of the fibril specimens showed brittle fracture. Some displayed linear behavior up to failure, while others displayed some nonlinearity. The fibril specimens showed an elastic modulus of 470 ± 410 MPa, a fracture strength of 230 ± 160 MPa, and a fracture strain of 80% ± 44%. The fibril specimens displayed significantly lower elastic modulus in vitro than previously measured in air. Fracture strength/strain obtained in vitro and in air are both significantly larger than those obtained in vacuo, indicating that the difference arises from the lack of intrafibrillar water molecules produced by vacuum drying. Furthermore, fracture strength/strain of fibril specimens were different from those reported for collagenous tissues of higher hierarchical levels, indicating the importance of obtaining these properties at the fibrillar level for multiscale modeling.