Study of Correlation Between Two Modes Backscattered Waves with Bone Porosity Using 2D Simulation

Muhamad Amin Abd Wahab, R. Sudirman, M. A. Abdul Razak, P. I. Khalid
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Abstract

The bone quality can be estimated by analyzing the attenuation and velocity of the ultrasound wave. However, the bone quality assessment of quantitative ultrasound still not match with X-ray based densitometry measurement. Take into consideration of fast and slow wave parameter is believed to improve bone quality assessment using ultrasound. Still, the existing technique effectively measured fast and slow wave is through transmission, which is confined to the certain part of the skeletal site. Based on recent simulation studies, pulse echo measurement technique is proposed to solve the problem by investigating the correlation between fast and slow wave observed from backscattered waves with bone porosity. The 2D simulation is conducted toward 18 bone models with 9 models with parallel orientation and 9 models with perpendicular orientation. By determine the difference between the simulated waveforms obtained using the two bone models, the backscattered waves from various depths can be isolated from overall reflected waves. Fast and slow wave will be identified in time domain from 4 difference depth of backscattered waves obtained. At the depth of 2.5 mm to 3.5 mm of backscattered wave, two waves which are might be fast and slow waves can be observed in the time domain of the parallel orientation model at the time between 13 µs to 16 µs compared to the perpendicular orientation model. The correlation between fast wave amplitude (R2 = 0.77) and attenuation (R2 = 0.72) with various porosities shows a clear negative correlation compared to slow wave amplitude and attenuation. The results also have a good agreement with previous research. Using 2D simulation, the backscattered wave can be isolated and a fast and slow wave was successfully observed in time domain. Hence, focusing on fast wave parameter for pulse echoes measurement might provide an improvement in bone quality assessments.
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两种模式背散射波与骨孔隙度相关性的二维模拟研究
通过分析超声波的衰减和速度可以估计骨质量。然而,定量超声对骨质量的评价与基于x线的密度测量仍然不匹配。考虑快慢波参数可以提高超声对骨质量的评价。然而,现有的有效测量快慢波的技术都是通过透射法,这种方法仅限于骨骼的特定部位。基于近年来的模拟研究,提出了脉冲回波测量技术,通过研究背散射波观测到的快慢波与骨孔隙率的相关性来解决这一问题。对18个骨模型进行了二维仿真,其中9个模型为平行方向,9个模型为垂直方向。通过确定两种骨模型模拟波形之间的差异,可以将不同深度的后向散射波从整体反射波中分离出来。利用得到的4个不同深度的后散射波在时域上识别快慢波。在2.5 ~ 3.5 mm的后向散射波深度,与垂直定向模型相比,平行定向模型在13µs ~ 16µs的时间范围内可以观测到两个可能是快波和慢波的波。不同孔隙度下的快波振幅(R2 = 0.77)和衰减(R2 = 0.72)与慢波振幅和衰减呈明显的负相关。研究结果与前人的研究结果也有较好的一致性。通过二维模拟,可以有效地隔离后向散射波,并在时域上成功地观测到快慢波。因此,关注脉冲回波测量的快波参数可能会改善骨质量评估。
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