A patient-specific finite element methodology to predict damage accumulation in vertebral bodies under axial compression, sagittal flexion and combined loads. Comput Meth Biomech Biomed Engin
Due to the inherent limitations of DXA, assessment of the biomechanical properties of vertebral bodies relies increasingly on CT-based finite element (FE) models, but these often use simplistic material behaviour and/or single loading cases. In this study, we applied a novel constitutive law for bone elasticity, plasticity and damage to FE models created from coarsened pQCT images of human vertebrae, and compared vertebral stiffness, strength and damage accumulation for axial compression, anterior flexion and a combination of these two cases. FE axial stiffness and strength correlated with experiments and were linearly related to flexion properties. In all loading modes, damage localised preferentially in the trabecular compartment. Damage for the combined loading was higher than cumulated damage produced by individual compression and flexion. In conclusion, this FE method predicts stiffness and strength of vertebral bodies from CT images with clinical resolution and provides insight into damage accumulation in various loading modes.
Available from: Heidi-Lynn Ploeg
- "Inability to include effects of structural anisotropy, as is routinely accounted for in micro-FE models of trabecular bone by considering the fabric tensor, thus compromises the predictive strength of continuum-based FE models developed from clinical resolution QCT data . Conversely, it can be logically expected that, incorporating direction-specific mechanical properties will improve the predictive ability of continuum-based FE models. "
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ABSTRACT: Most studies investigating human lumbar vertebral trabecular bone (HVTB) mechanical property- density relationships have presented results for the superior-inferior (SI), or "on-axis" direction. Equivalent, directly measured data from mechanical testing in the transverse (TR) direction are sparse and quantitative computed tomography (QCT) density-dependent variations in the anisotropy ratio of HVTB have not been adequately studied. The current study aimed to investigate the dependence of HVTB mechanical anisotropy ratio on QCT density by quantifying the empirical relationships between QCT-based apparent density of HVTB and its apparent compressive mechanical properties - elastic modulus (Eapp), yield strength (?y), and yield strain (?y) - in the SI and TR directions for future clinical QCT-based continuum finite element modeling of HVTB. A total of 51 cylindrical cores (33 axial and 18 transverse) were extracted from four L1 human lumbar cadaveric vertebrae. Intact vertebrae were scanned in a clinical resolution computed tomography (CT) scanner prior to specimen extraction to obtain QCT density, ?CT. Additionally, physically measured apparent density, computed as ash weight over wet, bulk volume, ?app, showed significant correlation with ?CT [?CT=1.0568x?app, r = 0.86]. Specimens were compression tested at room temperature using the Zetos Bone Loading and Bioreactor system. Apparent elastic modulus modulus (Eapp) and yield strength (?y) were linearly related to the ?CT in the axial direction [ESI = 1493.8x(?CT), r = 0.77, p < 0.01; ?YSI = 6.9x(?CT) - 0.13, r =0.76, p < 0.01], while a power law relation provided the best fit in the transverse direction [ETR = 3349.1x(?CT)1.94, r = 0.89, p < 0.01; ?YTR = 18.81x(?CT)1.83, r = 0.83, p < 0.01]. No significant correlation was found between ?y and ?CT in either direction. Eapp and ?y in the axial direction were larger compared to the transverse direction by a factor of 3.2 and 2.3 respectively, on average. Furthermore, the degree of anisotropy decreased with increasing density. Comparatively, ?y exhibited only a mild, but statistically significant anisotropy: transverse strains were larger than those in the axial direction by 30%, on average. Ability to map apparent mechanical properties in the transverse and axial directions from CT-based densitometric measures allows incorporation of transverse properties in FE models based on clinical CT data, partially offsetting the inability of continuum models to accurately represent trabecular architectural variations.
- "This improvement also enables the use of coarser continuum elements and stays as accurate by accounting for bone density variation within the element compared to the case that the BV/TV is only acquired for the center of gravity of the element. The BV/TV values were calculated based on the bone mineral density (BMD) values taken from the image data using an empirical equation relating the two values(see Fig. 3). The fabric anisotropy was calculated using the mean intercept length method separately for each element . "
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ABSTRACT: Osteoporosis-related vertebral fractures represent a major health problem in elderly populations. Such fractures can often only be diagnosed after a substantial deformation history of the vertebral body. Therefore, it remains a challenge for clinicians to distinguish between stable and progressive potentially harmful fractures. Accordingly, novel criteria for selection of the appropriate conservative or surgical treatment are urgently needed. Computer tomography-based finite element analysis is an increasingly accepted method to predict the quasi-static vertebral strength and to follow up this small strain property longitudinally in time. A recent development in constitutive modeling allows us to simulate strain localization and densification in trabecular bone under large compressive strains without mesh dependence. The aim of this work was to validate this recently developed constitutive model of trabecular bone for the prediction of strain localization and densification in the human vertebral body subjected to large compressive deformation. A custom-made stepwise loading device mounted in a high resolution peripheral computer tomography system was used to describe the progressive collapse of 13 human vertebrae under axial compression. Continuum finite element analyses of the 13 compression tests were realized and the zones of high volumetric strain were compared with the experiments. A fair qualitative correspondence of the strain localization zone between the experiment and finite element analysis was achieved in 9 out of 13 tests and significant correlations of the volumetric strains were obtained throughout the range of applied axial compression. Interestingly, the stepwise propagating localization zones in trabecular bone converged to the buckling locations in the cortical shell. While the adopted continuum finite element approach still suffers from several limitations, these encouraging preliminary results towardsthe prediction of extended vertebral collapse may help in assessing fracture stability in future work.
Available from: Fernando Marin
- "The bone tissue material behaviour was elastoplastic with damage; that is, irreversible strains develop and elastic modulus degrades with post-yield loading history. The model generation procedure and bone material properties have been described in detail by Chevalier et al. . To account for a broad spectrum of physiological loading, the FEAs of each vertebral body included axial compression, anterior bending and axial torsion. "
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ABSTRACT: Changes of the bone formation marker PINP correlated positively with improvements in vertebral strength in men with glucocorticoid-induced osteoporosis (GIO) who received 18-month treatment with teriparatide, but not with risedronate. These results support the use of PINP as a surrogate marker of bone strength in GIO patients treated with teriparatide.
To investigate the correlations between biochemical markers of bone turnover and vertebral strength estimated by finite element analysis (FEA) in men with GIO.
A total of 92 men with GIO were included in an 18-month, randomized, open-label trial of teriparatide (20 μg/day, n = 45) and risedronate (35 mg/week, n = 47). High-resolution quantitative computed tomography images of the 12th thoracic vertebra obtained at baseline, 6 and 18 months were converted into digital nonlinear FE models and subjected to anterior bending, axial compression and torsion. Stiffness and strength were computed for each model and loading mode. Serum biochemical markers of bone formation (amino-terminal-propeptide of type I collagen [PINP]) and bone resorption (type I collagen cross-linked C-telopeptide degradation fragments [CTx]) were measured at baseline, 3 months, 6 months and 18 months. A mixed-model of repeated measures analysed changes from baseline and between-group differences. Spearman correlations assessed the relationship between changes from baseline of bone markers with FEA variables.
PINP and CTx levels increased in the teriparatide group and decreased in the risedronate group. FEA-derived parameters increased in both groups, but were significantly higher at 18 months in the teriparatide group. Significant positive correlations were found between changes from baseline of PINP at 3, 6 and 18 months with changes in FE strength in the teriparatide-treated group, but not in the risedronate group.
Positive correlations between changes in a biochemical marker of bone formation and improvement of biomechanical properties support the use of PINP as a surrogate marker of bone strength in teriparatide-treated GIO patients.
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