Frequency Dependence of Ultrasonic Characteristics of Cancellous Bone

Pal, Soma; Saha, Subrata; Reddy, Geetha

doi:10.1016/b978-0-08-028826-0.50079-2

Cited by 5 publications

(4 citation statements)

References 2 publications

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“…Then in a wider frequency range covering 0.3~3MHz, positive dispersion was found, which agrees with the results in this paper. Similar positive dispersion results were also found in skull diploe [26], in cancellous bone [27] and in tissue-like polymers [28]. However, it is interesting that negative velocity dispersion was also found by some studies, such as the research in [29] and [30].…”

Section: Discussionsupporting

confidence: 79%

A μCT-based investigation of the influence of tissue modulus variation, anisotropy and inhomogeneity on ultrasound propagation in trabecular bone

Pan

Shen

Lenthe

2016

Journal of the Mechanical Behavior of Biomedical Materials

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Ultrasound propagation is widely used in the diagnosis of osteoporosis by providing information on bone mechanical quality. When it loses calcium, the tissue properties will first decrease. However, limited research about the influence of tissue properties on ultrasound propagation have been done due to the cumbersome experiment. The goal of this study was to explore the relationships between tissue modulus (Es) and speed of sound (SOS) through numerical simulations, and to study the influence of Es on the acoustical behavior in characterizing the local structural anisotropy and inhomogeneity. In this work, three-dimensional finite element (FE) simulations were performed on a cubic high-resolution (15μm) bovine trabecular bone sample (4×4×4mm(3), BV/TV=0.18) mapped from micro-computed tomography. Ultrasound excitations of 50kHz, 500kHz and 2MHz were applied in three orthogonal axes and the first arriving signal (FAS) was collected to quantify wave velocity. In this study, a strong power law relationship between Es and SOS was measured with estimated exponential index β=2.08-3.44 for proximal-distal (PD), anterior-posterior (AP) and medial-lateral (ML), respectively (all R(2)>0.95). For various Es, a positive dispersion of sound speed with respect to sound frequency was observed and the velocity dispersion magnitude (VDM) was measured. Also, with Es=15GPa in three orientations, the SOS in PD axis is 2009±120m/s, faster than that of AP (1762±106m/s) and ML (1798±132m/s) (f=2MHz) directions. Besides, the standard deviation of SOS increases with the sound frequency and the Es in all directions except for that at 50kHz. For the mechanical properties, the apparent modulus with certain Es was highest in the longitudinal direction compared with the transverse directions. It indicates that the tissue modulus combining with anisotropy and inhomogeneity has great influence on ultrasound propagation. Simulation results agree well with theoretical and experimental results.

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Section: Discussionsupporting

confidence: 79%

A μCT-based investigation of the influence of tissue modulus variation, anisotropy and inhomogeneity on ultrasound propagation in trabecular bone

Pan

Shen

Lenthe

2016

Journal of the Mechanical Behavior of Biomedical Materials

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“…그러나 Fry 및 Barger는 사람 의 두개골을 이용하여 제작된 해면질골 샘플에서 fast wave 및 slow wave가 서로 중첩된 신호에서 양 의 분산을 발견하였다 [13] . 또한 Pal 등도 이와 유 사하게 양의 분산을 보고하였으며, Droin 등은 사 람의 해면질골에서 음 또는 양의 분산을 모두 관 찰할 수 있었다 [14,15] . 현재까지도 해면질골에서 MHz의 주파수 범위에서 감쇠계수가 주파수 에 대해   의 의존성을 보이는 것을 관찰하였다 [16] .…”

Section: 대상 및 방법unclassified

Correlations between Acoustic Properties and Bone Mineral Density in Bovine Femoral Trabecular Bone In Vitro

Hwang¹,

Seo²,

Lee³

2012

The Journal of the Acoustical Society of Korea

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The purpose of the present study is to investigate the correlations between acoustic properties, such as speed of sound and normalized broadband ultrasound attenuation, and bone mineral density in femur with high fracture risk. The speed of sound and the normalized broadband ultrasound attenuation in 15 bovine femoral trabecular bone samples in vitro were measured by using a through-transmission method with two matched pairs of ultrasonic transducers with center frequencies of 0.5 and 1.0 MHz. The volumetric bone mineral density of the trabecular bone samples was measured by using micro-computed tomography. The bone mineral density exhibited strong correlations with both the speed of sound and the normalized broadband ultrasound attenuation measured by using the 0.5 and the 1.0 MHz transducers. The highest correlation was found between the bone mineral density and the normalized broadband ultrasound attenuation measured by using the 0.5 MHz ultrasonic transducers. The results suggest that the acoustic properties measured in the femur in vitro can be used as indices for the prediction of femoral bone mineral density.

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“…Strelitzki et al investigated the influence of porosity and pore size using a Leeds ultrasonic bone phantom and reported that UV in trabecular bone is dependent on porosity but independent of pore size [25]. The negative dispersion was observed in calcaneal cancellous bone with much lower bone mass [25][26][27][28][29][30][31][32][33], whereas positive velocity dispersion was reported by Pal et al and Fry and Barger in skull cancellous bone specimens with an ultrasound between 0.3 and 2.0 MHz [34,35]. The negative dispersion was explained by multiple scattering [30] or by interference of fast and slow waves predicted by Biot theory [31,32].…”

Section: Introductionmentioning

confidence: 99%

Measurement of Ultrasound Parameters of Bovine Cancellous Bone as a Function of Frequency for a Range of Porosities via Through-Transmission Ultrasonic Spectroscopy

Karki

2022

Acoustics

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The relationship between ultrasonic parameters (attenuation coefficients and velocity) and bone porosity in bovine cancellous bone is explored to understand the possibility of fracture risk diagnosis associated with osteoporosis by applying ultrasound. In vitro measurements of ultrasonic parameters on twenty-one bovine cancellous bone samples from tibia were conducted, using ultrasonic spectroscopy in the through-transmission mode. Transducers of three different center frequencies were used to cover a wide diagnostic frequency range between 1.0–7.8 MHz. The nonlinear relationship of porosity and normalized attenuation coefficient (nATTN) and normalized broadband attenuation coefficient (nBUA) were well described by a third-order polynomial fit, whereas porosity and the phase velocity (UV) were found to be negatively correlated with the linear correlation coefficients of −0.93, −0.89 and −0.83 at 2.25, 5.00 and 7.50 MHz, respectively. The results imply that the ultrasound parameters attain maximum values for the bone sample with the lowest porosity, and then decrease for samples with greater porosity for the range of porosities in our samples for all frequencies. Spatial variation in the ultrasound parameters was found to be caused by non-uniform pore size distribution, which was examined at five different locations within the same bone specimen. However, it did not affect the relationship of ultrasound parameters and porosity at these frequencies.

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Frequency Dependence of Ultrasonic Characteristics of Cancellous Bone

Cited by 5 publications

References 2 publications

A μCT-based investigation of the influence of tissue modulus variation, anisotropy and inhomogeneity on ultrasound propagation in trabecular bone

A μCT-based investigation of the influence of tissue modulus variation, anisotropy and inhomogeneity on ultrasound propagation in trabecular bone

Correlations between Acoustic Properties and Bone Mineral Density in Bovine Femoral Trabecular Bone In Vitro

Measurement of Ultrasound Parameters of Bovine Cancellous Bone as a Function of Frequency for a Range of Porosities via Through-Transmission Ultrasonic Spectroscopy

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