Multiple scattering in a trabecular bone: Influence of the marrow viscosity on the effective properties

Luppé, Francine; Conoir, Jean-Marc; Franklin, Hervé

doi:10.1121/1.1554695

Cited by 15 publications

(7 citation statements)

References 11 publications

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“…[29]. However, a competing effect occurs when BV/TV values are higher (typically around 30% to 40%) because the pores may then act as scatterers instead of the trabeculae for samples with low porosity, 50 leading to the opposite behavior of attenuation as a function of porosity. However, more work is needed to understand these phenomena.…”

Section: Discussionmentioning

confidence: 99%

Three-dimensional Simulation of Quantitative Ultrasound in Cancellous Bone Using the Echographic Response of a Metallic Pin

et al. 2017

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Degenerative discopathy is a common pathology that may require spine surgery. A metallic cylindrical pin is inserted into the vertebral body to maintain soft tissues and may be used as a reflector of ultrasonic wave to estimate bone density. The first aim of this paper is to validate a three-dimensional (3-D) model to simulate the ultrasonic propagation in a trabecular bone sample in which a metallic pin has been inserted. We also aim at determining the effect of changes of bone volume fraction (BV/TV) and of positioning errors on the quantitative ultrasound (QUS) parameters in this specific configuration. The approach consists in coupling finite-difference time-domain simulation with X-ray microcomputed tomography. The correlation coefficient between experimental and simulated speed of sound (SOS)-respectively, broadband ultrasonic attenuation (BUA)-was equal to 0.90 (respectively, 0.55). The results show a significant correlation of SOS with BV/TV ( R = 0.82), while BUA values exhibit a nonlinear behavior versus BV/TV. The orientation of the pin should be controlled with an accuracy of around 1° to obtain accurate results. The results indicate that using the ultrasonic wave reflected by a pin has a potential to estimate the bone density. SOS is more reliable than BUA due to its lower sensitivity to the tilt angle.

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Section: Discussionmentioning

confidence: 99%

Three-dimensional Simulation of Quantitative Ultrasound in Cancellous Bone Using the Echographic Response of a Metallic Pin

et al. 2017

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“…Such approaches have been followed assuming the Born approximation (in backscattering mode) (Jenson et al 2003;Padilla et al 2003) as well as multiple scattering Luppé et al 2002Luppé et al , 2003. Recently, a model taking into account the coupling of multiple scattering and of viscoelastic absorption has been applied to trabecular bone , showing a good agreement with experiments carried out (i) in phantoms mimicking trabecular bone (Wear 2005), (ii) in vitro (Strelitzki and Evans 1996;Nicholson et al 1996;Wear 2000a;Droin et al 1998) and (iii) in vivo (Wear 2007a).…”

Section: Introductionmentioning

confidence: 94%

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

Haïat

Naı̈li

2010

Biomech Model Mechanobiol

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Speed of sound measurements are used clinically to assess bone strength. Trabecular bone is an attenuating composite material in which negative values of velocity dispersion have been measured; this behavior remaining poorly explained physically. The aim of this work is to describe the ultrasonic propagation in trabecular bone modeled by infinite cylinders immersed in a saturating matrix and to derive the physical determinants of velocity dispersion. An original homogenization model accounting for the coupling of independent scattering and absorption phenomena allows the computation of phase velocity and of dispersion while varying bone properties. The first step of the model consists in the computation of the attenuation coefficient at all frequencies. The second step of the model corresponds to the application of the general Kramers-Krönig relationship to derive the frequency dependence of phase velocity. The model predicts negative values of velocity dispersion in agreement with experimental results obtained in phantoms mimicking trabecular bone. In trabecular bone, only negative values of velocity dispersion are predicted by the model, which span within the range of values measured experimentally. However, the comparison of the present results with results obtained in Haiat et al. (J Acoust Soc Am 124:4047-4058, 2008) assuming multiple scattering indicates that accounting for multiple scattering phenomena leads to a better prediction of velocity dispersion in trabecular bone.

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“…While several models for scattering from cancellous bone have been proposed [271][272][273][274][275][276][277][278], two models have received far more experimental validation than the others: the incoherent scattering cylinder model [274] and the weak scattering model [275].…”

Section: B Models For Scatteringmentioning

confidence: 99%

Mechanisms of Interaction of Ultrasound With Cancellous Bone: A Review

Wear

2020

IEEE Trans. Ultrason., Ferroelect., Freq. Contr.

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Ultrasound is now a clinically-accepted modality in the management of osteoporosis. The most common commercial clinical devices assess fracture risk from measurements of attenuation and sound speed in cancellous bone. This review discusses fundamental mechanisms underlying the interaction between ultrasound and cancellous bone. Because of its two-phase structure (mineralized trabecular network embedded in soft tissue-marrow), its anisotropy, and its inhomogeneity, cancellous bone is more difficult to characterize than most soft tissues. Experimental data for the dependences of attenuation, sound speed, dispersion, and scattering on ultrasound frequency, bone mineral density, composition, microstructure, and mechanical properties are presented. The relative roles of absorption, scattering, and phase cancellation in determining attenuation measurements in vitro and in vivo are delineated. Common speed of sound metrics, which entail measurements of transit times of pulse leading edges (to avoid multipath interference), are greatly influenced by attenuation, dispersion, and system properties including center frequency and bandwidth. However, a theoretical model has been shown to be effective for correction for these confounding factors in vitro and in vivo. Theoretical and phantom models are presented to elucidate why cancellous bone exhibits negative dispersion, unlike soft tissue, which exhibits positive dispersion. Signal processing methods are presented for separating "fast" and "slow" waves (predicted by poro-elasticity theory and supported in cancellous bone) even when the two waves overlap in time and frequency domains. Models to explain dependences of scattering on frequency and mean trabecular thickness are presented and compared with measurements. Anisotropy, the effect of the fluid filler medium (marrow in vivo or water in vitro), phantoms, computational modeling of ultrasound propagation, acoustic microscopy, and nonlinear properties in cancellous bone are also discussed.

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Multiple scattering in a trabecular bone: Influence of the marrow viscosity on the effective properties

Cited by 15 publications

References 11 publications

Three-dimensional Simulation of Quantitative Ultrasound in Cancellous Bone Using the Echographic Response of a Metallic Pin

Three-dimensional Simulation of Quantitative Ultrasound in Cancellous Bone Using the Echographic Response of a Metallic Pin

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

Mechanisms of Interaction of Ultrasound With Cancellous Bone: A Review

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