Anisotropic tissue elasticity in human lumbar vertebra, by means of a coupled ultrasound-micromechanics approach

Malandrino, Andrea; Fritsch, Andreas; Lahayne, Olaf; Kropik, K.; Redl, Heinz; Noailly, Jérôme; Lacroix, Damien; Hellmich, Christian

doi:10.1016/j.matlet.2012.03.052

Cited by 27 publications

(15 citation statements)

References 49 publications

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“…The extracellular mass density and the apparent mass densities of mineral (ρ HA ⁎ ), of water ρ Ã H 2 O , and of organics Table 1. We observe that the tissue mass densities nicely approach the "adult" value of ρ BM = 1.90 g/cm 3 identified in [31]. The aforementioned apparent mass density values give access to the volume fractions of hydroxyapatite, of collagen, and of water, via:…”

Section: Micromechanics-derived Bone Matrix Stiffness In Adults and Csupporting

confidence: 61%

“…on the volume fractions of its principal constituents, namely hydroxyapatite (HA), collagen (col), and water (H 2 O). In [31], the average tissue elasticity properties were successfully identified through a coupled approach comprising 10 MHz pulse transmission ultrasound with universal rules governing the composition and the hierarchical mechanical functioning of mineralized tissues, resulting in the following stiffness tensor of extracellular bone tissue: …”

Section: Micromechanics-derived Bone Matrix Stiffness In Adults and Cmentioning

confidence: 99%

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A multiscale analytical approach for bone remodeling simulations: Linking scales from collagen to trabeculae

Colloca

Blanchard

Hellmich

et al. 2014

Bone

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Section: Micromechanics-derived Bone Matrix Stiffness In Adults and Csupporting

confidence: 61%

Section: Micromechanics-derived Bone Matrix Stiffness In Adults and Cmentioning

confidence: 99%

A multiscale analytical approach for bone remodeling simulations: Linking scales from collagen to trabeculae

Colloca

Blanchard

Hellmich

et al. 2014

Bone

Self Cite

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“…This dependence might be the fingerprint of material damage induced by the testing method itself. 72 All these factors, in our opinion, do not necessarily qualify nanoindentation as a simple, robust method for direct validation of the elasticity maps of Figs. 8-10.…”

Section: Discussion Review and Perspectivesmentioning

confidence: 94%

Quantitative intravoxel analysis of microCT-scanned resorbing ceramic biomaterials – Perspectives for computer-aided biomaterial design

et al. 2014

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Driving the field of micro computed tomography toward more quantitative, rather than qualitative, approaches, we here present a new evaluation method, which uses the unique linear relationship between gray values and x-ray attenuation coefficients, together with the energy-dependence of the latter, to identify (i) the average x-ray energy used in the CT device, (ii) the x-ray attenuation coefficients, and (iii), via the x-ray attenuation average rule, the intravoxel composition, i.e., the microporosity, which, amongst others, governs the voxel-specific mechanical properties, such as stiffness and strength. The method is realized for six 3D tricalcium phosphate scaffolds, seeded with pre-osteoblastic cells and differentiated for 3, 6, and 8 weeks, respectively. The corresponding voxel-specific microporosities turn out to increase during the culturing period (resulting in reduced elastic properties, as determined from micromechanical considerations), while the overall macroporosity remains constant. The new methods are expected to further foster the development of a rationally based and computer-aided design of biomaterials and tissue engineering scaffolds.

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“…Nevertheless, the proposed analytical model allows for bringing the stimulus in better agreement with the bone remodeling theory by using a micromechanical matrix-inclusion based model to calculate the (micromechanical) strain energy density values [34]. Fourth, it is assumed that the bone is described as an isotropic material, while recent studies have indicated that it actually is anisotropic [35,36]. This also could be accounted for by using the above mentioned micromechanical model in which anisotropic mechanical properties are assigned to the bone matrix.…”

Section: Discussionmentioning

confidence: 99%

An Analytical Approach to Investigate the Evolution of Bone Volume Fraction in Bone Remodeling Simulation at the Tissue and Cell Level

Colloca

Ito

Rietbergen

2014

Journal of Biomechanical Engineering

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Simulation of bone remodeling at the bone cell level can predict changes in bone microarchitecture and density due to bone diseases and drug treatment. Their clinical application, however, is limited since bone microarchitecture can only be measured in the peripheral skeleton of patients and since the simulations are very time consuming. To overcome these issues, we have developed an analytical model to predict bone density adaptation at the organ level, in agreement with our earlier developed bone remodeling theory at the cellular level. Assuming a generalized geometrical model at the microlevel, the original theory was reformulated into an analytical equation that describes the evolution of bone density as a function of parameters that describe cell activity, mechanotransduction and mechanical loading. It was found that this analytical model can predict changes in bone density due to changes in these cell-level parameters that are in good agreement with those predicted by the earlier numerical model that implemented a detailed micro-finite element (FE) model to represent the bone architecture and loading, at only a fraction of the computational costs. The good agreement between analytical and numerical density evolutions indicates that the analytical model presented in this study can predict well bone functional adaptation and, eventually, provide an efficient tool for simulating patient-specific bone remodeling and for better prognosis of bone fracture risk.

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Anisotropic tissue elasticity in human lumbar vertebra, by means of a coupled ultrasound-micromechanics approach

Cited by 27 publications

References 49 publications

A multiscale analytical approach for bone remodeling simulations: Linking scales from collagen to trabeculae

A multiscale analytical approach for bone remodeling simulations: Linking scales from collagen to trabeculae

Quantitative intravoxel analysis of microCT-scanned resorbing ceramic biomaterials – Perspectives for computer-aided biomaterial design

An Analytical Approach to Investigate the Evolution of Bone Volume Fraction in Bone Remodeling Simulation at the Tissue and Cell Level

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