Sensitivity analysis of ultrasonic guided waves propagating in trilayered bone models: a numerical study

Tran, Tho N.H.T.; Le, Lawrence H.; Sacchi, Mauricio D.; Nguyen, Vu‐Hieu

doi:10.1007/s10237-018-1025-8

Cited by 21 publications

(3 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“… v p was 3913 m/s determined by ray tracing while v s = 1900 m/s and ρ = 2.4 g/cm 3 were taken from literature. 14 A total of 64 ultrasound records was acquired with 38 mm closest offset, 1 mm spacing interval, 100 μ s time length, and a time interval of 0.1 μ s.…”

Section: Methodsmentioning

confidence: 99%

Single Versus Multi-channel Dispersion Analysis of Ultrasonic Guided Waves Propagating in Long Bones

Tran

Zhang

et al. 2021

Ultrason Imaging

Self Cite

View full text Add to dashboard Cite

Ultrasonic guided wave techniques have been applied to characterize cortical bone for osteoporosis assessment. Compared with the current gold-standard X-ray-based diagnostic methods, ultrasound-based techniques pose some advantages such as compactness, low cost, lack of ionizing radiation, and their ability to detect the mechanical properties of the cortex. Axial transmission technique with a source-receiver offset is employed to acquire the ultrasound data. The dispersion characteristics of the guided waves in bones are normally analyzed in the transformed domains using the dispersion curves. The transformed domain can be time-frequency map using a single channel or wavenumber-frequency (or phase velocity-frequency) map with multi-channels. In terms of acquisition effort, the first method is more cost- and time-effective than the latter. However, it remains unclear whether single-channel dispersion analysis can provide as much quantitative guided-wave information as the multi-channel analysis. The objective of this study is to compare the two methods using numerically simulated and ex vivo data of a simple bovine bone plate and explore their advantages and disadvantages. Both single- and multi-channel signal processing approaches are implemented using sparsity-constrained optimization algorithms to reinforce the focusing power. While the single-channel data acquisition and processing are much faster than those of the multi-channel, modal identification and analysis of the multi-channel data are straightforward and more convincing.

show abstract

Section: Methodsmentioning

confidence: 99%

Single Versus Multi-channel Dispersion Analysis of Ultrasonic Guided Waves Propagating in Long Bones

Tran

Zhang

et al. 2021

Ultrason Imaging

Self Cite

View full text Add to dashboard Cite

show abstract

“…The A 0 mode is less affected by soft tissue than other modes, but is sensitive to cortical thickness. 23) The A 0 was also considered a sensitive indicator of osteoporosis, 10) making A 0 a mode of choice to use for extracting bone properties. Therefore exciting the bone plate at low frequency for A 0 is desirable.…”

Section: Effect Of the Emitted Frequencymentioning

confidence: 99%

Beam-steering ultrasonic guided waves in a bone-mimicking plate by time-delaying the excitation of the elements in a multi-element array: a numerical study

Nguyen¹,

Nguyen

Bui

et al. 2021

Jpn. J. Appl. Phys.

Self Cite

View full text Add to dashboard Cite

We present a numerical simulation of the beam-steering of ultrasonic guided waves in an isotropic and viscoelastic solid plate, which mimics bovine cortex. The excitation was modeled by a group of five finite-size emitters, each exercised a normal force to the bone plate. Beam steering was achieved by delaying the emitters’ firing. The simulation technique was implemented by a semi-analytical finite element scheme to compute the wave fields. At small steering angles, the simulated time-offset signals show mainly two groups of arrivals. The first group is the fast-traveling and high-frequency bulk waves and the second one is slow-traveling and low-frequency guided waves. The fast-traveling waves gradually diminish with increasing steering angles, in agreement with the excitation function of the source influence theory. The frequency-phase velocity dispersion maps also illustrate the phenomenon. The study has demonstrated that the lowest order Lamb asymmetrical mode, A 0, which is useful for bone characterization, can best be excited when the cortical bone thickness is thin, the beam angle is large, and the excited frequency is low.

show abstract

“…The method allowed the detection of enhanced and more accurate wavenumbers in the context of the formulation of inverse problems. Recently, Tran et al (2018) (Tran et al, 2018) performed a numerical study to evaluate the effect of cortical thickness, stiffness coefficient, and thickness of the overlying soft tissues on the responses of fundamental ultrasonic guided waves in the frequency domain, using a homogeneous transversely isotropic tri-layered plate model. However, despite the improvements achieved so far concerning the modeling of cortical bone, a more detailed numerical study remains needed to explain the influence of the cross-sectional curvature and distribution of properties in the radial direction on the propagation of the guided waves at low-frequency.…”

Section: Introductionmentioning

confidence: 99%

Effect of intracortical bone properties on the phase velocity and cut-off frequency of low-frequency guided wave modes (20–85 kHz)

Pereira

Haïat²,

Fernandes

et al. 2019

The Journal of the Acoustical Society of America

View full text Add to dashboard Cite

Manuscript (TeX or Word only) Click here to access/download;Manuscript (TeX or Word only);Manuscript.tex JASA/Sample JASA Article The assessment of intracortical bone properties is of interest since early-stage osteoporosis is associated with resorption in the endosteal region. However, understanding the interaction between ultrasonic guided waves and the cortical bone structure remains challenging. The purpose of this work is to investigate the effect of intracortical bone properties on the ultrasonic response obtained at low-frequency (<100 kHz) using an axial transmission configuration. The semi-analytical finite element method was used to simulate the propagation of guided waves in a waveguide with realistic geometry and material properties. An array of 20 receivers was used to calculate the phase velocity and cutoff frequency of the excited modes using the 2D Fourier transform. The results show that the position of the emitter around the circumference of the bone is an important parameter to control since it can lead to variations of up to 10 dB in the amplitude of the transmitted modes. The cutoff frequency of the high order modes was, however, only slightly affected by the circunferential position of the emitter, and was sensitive mainly to the axial shear modulus. The phase velocity and cutoff frequency in the 20-85 kHz range are promising parameters for the assessment of intracortical properties.

show abstract

Sensitivity analysis of ultrasonic guided waves propagating in trilayered bone models: a numerical study

Cited by 21 publications

References 37 publications

Single Versus Multi-channel Dispersion Analysis of Ultrasonic Guided Waves Propagating in Long Bones

Single Versus Multi-channel Dispersion Analysis of Ultrasonic Guided Waves Propagating in Long Bones

Beam-steering ultrasonic guided waves in a bone-mimicking plate by time-delaying the excitation of the elements in a multi-element array: a numerical study

Effect of intracortical bone properties on the phase velocity and cut-off frequency of low-frequency guided wave modes (20–85 kHz)

Contact Info

Product

Resources

About