Relationship between ultrasonic parameters and apparent trabecular bone elastic modulus: A numerical approach

Determination of the heterogeneous anisotropic elastic properties of human femoral bone: From nanoscopic to organ scale

“…Typical cortical bone was defined as having a porosity lower than 15% (Dong and Guo, 2004;Baron et al, 2007;Haïat et al, 2009aHaïat et al, , 2009b and is located at a distance lower than 3.5 mm from the periosteum for the sample considered herein. Trabecular bone had porosity values higher than 75% (Haiat et al, 2007) and was located at a distance higher than 4.8 mm from the periosteum.…”

“…In our computations, pores were considered filled by water. Bone tissue is transversely isotropic (Yoon and Katz, 1976;Rho, 1996;Dong and Guo, 2004;Haïat et al, 2009aHaïat et al, , 2009b.…”

“…Moreover, in two recent papers by our group (Haïat et al, 2009a(Haïat et al, , 2009bNaili et al, submitted for publication), finite element analysis has been used to show that a physiological gradient of material properties in the bone radial direction related to porosity has an important effect on its ultrasonic response. However, the spatial dependence of the bone properties was assessed empirically and the determination of a realistic gradient of bone mechanical properties would be of interest.…”

“…The interest of such approaches lies in the difficulty of achieving reliable estimations of stress and strain fields in vivo. However, a critical issue consists in the anisotropy and heterogeneity (the assumption of isotropy and homogeneity has often been made (Bayraktar et al, 2004;Chevalier et al, 2007;Haïat et al, 2009aHaïat et al, , 2009b) of the bone material properties. When heterogeneity is accounted for, empirical regression analyses between DMB and Young's modulus (Dalstra et al, 1995;Couteau et al, 1998;Keyak et al, 1998;Keyak and Falkinstein, 2003;Yosibash et al, 2007) have been employed.…”

Independent scattering model and velocity dispersion in trabecular bone: comparison with a multiple scattering model

“…Beside being non-invasive and non-radiating techniques, the main advantage of QUS techniques lies in their ability to reflect structural as well as mechanical bone characteristics Wear 2000b), which play an important role in biomechanical bone strength. In particular, speed of sound (SOS) measurements performed in human femoral bone samples (which is an important site of fracture now accessible using a transverse transmission device (Barkmann et al 2008)) have been shown to be highly correlated with bone mineral density (Haiat et al 2005a) and interestingly with bone strength (Haiat et al 2008b(Haiat et al , 2009van der Bergh et al 2000). However, the physical determinants of ultrasonic propagation through trabecular bone still remain unclear.…”