Assessment of Anisotropic Tissue Elasticity of Cortical Bone from High-Resolution, Angular Acoustic Measurements

Lakshmanan, S.; Bodi, Andreas; Raum, Kay

doi:10.1109/tuffc.2007.426

Cited by 50 publications

(36 citation statements)

References 34 publications

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“…Quantitative scanning acoustic microscope (SAM) data of a human femur from another study were used for this investigation (Lakshmanan et al 2007). A disk was extracted from the proximal diaphysis approximately 21% below the proximal end of the femur.…”

Section: Methodsmentioning

confidence: 99%

“…It was chosen such that the homogeneity of the microstructure was maximum to the authors' eyes, that is, areas including very large pores or an obvious porosity gradient were avoided. The pixels in pores were segmented from the pixels in the bone matrix using a fixed impedance threshold determined empirically (Lakshmanan et al 2007). The porosity p was calculated as the area of pores in the plane (x, y) divided by total area.…”

Section: Methodsmentioning

confidence: 99%

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A determination of the minimum sizes of representative volume elements for the prediction of cortical bone elastic properties

Grimal

Raum

Gerisch

et al. 2011

Biomech Model Mechanobiol

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At its highest level of microstructural organization-the mesoscale or millimeter scale-cortical bone exhibits a heterogeneous distribution of pores (Haversian canals, resorption cavities). Multi-scale mechanical models rely on the definition of a representative volume element (RVE). Analytical homogenization techniques are usually based on an idealized RVE microstructure, while finite element homogenization using high-resolution images is based on a realistic RVE of finite size. The objective of this paper was to quantify the size and content of possible cortical bone mesoscale RVEs. RVE size was defined as the minimum size: (1) for which the apparent (homogenized) stiffness tensor becomes independent of the applied boundary conditions or (2) for which the variance of elastic properties for a set of microstructure realizations is sufficiently small. The field of elastic coefficients and microstructure in RVEs was derived from one acoustic microscopy image of a human femur cortical bone sample with an overall porosity of 8.5%. The homogenized properties of RVEs were computed with a finite element technique. It was found that the size of the RVE representative of the overall tissue is about 1.5 mm. Smaller RVEs (~0.5 mm) can also be considered to estimate local mesoscopic properties that strongly depend on the local pores volume fraction. This result provides a sound basis for the application of homogenization techniques to model the heterogeneity of cortical microstructures. An application of the findings to estimate elastic properties in the case of a porosity gradient is briefly presented.

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Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

A determination of the minimum sizes of representative volume elements for the prediction of cortical bone elastic properties

Grimal

Raum

Gerisch

et al. 2011

Biomech Model Mechanobiol

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show abstract

“…The relation between stiffness and acoustic impedance tensor for anisotropic materials has been derived by Lakhsmanan et al [53]. The apparent properties, i.e.…”

Section: Scanning Acoustic Microscopy (Sam)mentioning

confidence: 99%

Skeletal maturation substantially affects elastic tissue properties in the endosteal and periosteal regions of loaded mice tibiae

et al. 2015

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“…The principles of the acoustic data acquisition and the conversion of the measured reflection amplitude to acoustic impedance and elastic coefficients have been described elsewhere (Lakshmanan et al, 2007;Raum et al, 2003Raum et al, , 2004Raum, 2008) and are summarized in the appendix.…”

Section: Theoretical Background Of Parameter Extractionmentioning

confidence: 99%

“…Calibrated scans of the confocal reflection amplitude of the flat and cylindrically shaped samples were performed, as described in Lakshmanan et al (2007), Raum (2008). For the cylinder scans, a rotational stage (DT-80; Micos GmbH, Eschbach, Germany) and a custom made sample holder were attached to the microscope.…”

Section: Scanning Acoustic Microscopymentioning

confidence: 99%

Spatial distribution of tissue level properties in a human femoral cortical bone

Rohrbach

Lakshmanan

Peyrin

et al. 2012

Journal of Biomechanics

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Assessment of Anisotropic Tissue Elasticity of Cortical Bone from High-Resolution, Angular Acoustic Measurements

Cited by 50 publications

References 34 publications

A determination of the minimum sizes of representative volume elements for the prediction of cortical bone elastic properties

A determination of the minimum sizes of representative volume elements for the prediction of cortical bone elastic properties

Skeletal maturation substantially affects elastic tissue properties in the endosteal and periosteal regions of loaded mice tibiae

Spatial distribution of tissue level properties in a human femoral cortical bone

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