Dodd S P, Cunningham J L, Miles A W, Gheduzzi S, Humphrey V F
Centre for Orthopaedic Biomechanics, Department of Mechanical Engineering, University of Bath, Bath, Avon, BA2 7AY, UK.
Phys Med Biol. 2006 Sep 21;51(18):4635-47. doi: 10.1088/0031-9155/51/18/012. Epub 2006 Aug 30.
Understanding the velocity and attenuation characteristics of ultrasonic waves in cortical bone and bone mimics is important for studies of osteoporosis and fractures. Three complementary approaches have been used to help understand the ultrasound propagation in cortical bone and bone mimics immersed in water, which is used to simulate the surrounding tissue in vivo. The approaches used were Lamb wave propagation analysis, experimental measurement and two-dimensional (2D) finite difference modelling. First, the water loading effects on the free plate Lamb modes in acrylic and human cortical bone plates were examined. This theoretical study revealed that both the S0 and S1 mode velocity curves are significantly changed in acrylic: mode jumping occurs between the S0 and S1 dispersion curves. However, in human cortical bone plates, only the S1 mode curve is significantly altered by water loading, with the S0 mode exhibiting a small deviation from the unloaded curve. The Lamb wave theory predictions for velocity and attenuation were then tested experimentally on acrylic plates using an axial transmission technique. Finally, 2D finite difference numerical simulations of the experimental measurements were performed. The predictions from Lamb wave theory do not correspond to the measured and simulated first arrival signal (FAS) velocity and attenuation results for acrylic and human cortical bone plates obtained using the axial transmission technique, except in very thin plates.
了解超声波在皮质骨和骨模拟物中的速度和衰减特性对于骨质疏松症和骨折的研究很重要。已采用三种互补方法来帮助理解超声波在浸于水中的皮质骨和骨模拟物中的传播,水用于模拟体内的周围组织。所采用的方法是兰姆波传播分析、实验测量和二维(2D)有限差分建模。首先,研究了水负载对丙烯酸板和人类皮质骨板中自由板兰姆模式的影响。这项理论研究表明,丙烯酸板中S0和S1模式的速度曲线都有显著变化:S0和S1色散曲线之间出现模式跳跃。然而,在人类皮质骨板中,只有S1模式曲线因水负载而显著改变,S0模式与未加载曲线相比有小偏差。然后使用轴向传输技术在丙烯酸板上对兰姆波理论对速度和衰减的预测进行了实验测试。最后,对实验测量进行了二维有限差分数值模拟。除了非常薄的板之外,兰姆波理论的预测与使用轴向传输技术获得的丙烯酸板和人类皮质骨板的测量和模拟首波信号(FAS)速度及衰减结果不相符。