Wear K A
U.S. Food and Drug Administration, Center for Devices and Radiological Health, HFZ-142, Rockville, MD 20852, USA.
IEEE Trans Ultrason Ferroelectr Freq Control. 2001 Jul;48(4):1079-83. doi: 10.1109/58.935726.
Frequency-dependent phase velocity (dispersion) has previously been measured in trabecular bone by several groups. In contrast to most biologic tissues, phase velocity in trabecular bone tends to decrease with frequency. A stratified model, consisting of alternating layers of bone and marrow (in vivo) or water (in vitro), has been employed in an attempt to explain this phenomenon. Frequency-dependent phase velocity was measured from 300 to 700 kHz in 1) phantoms consisting of regularly spaced thin parallel layers of polystyrene sheets in water and 2) 30 calcaneus samples in vitro. For the polystyrene phantoms, the agreement between theory and experiment was good. For the calcaneus samples, the model has some limited usefulness (uncertainty of about 5%) in predicting average phase velocity. More importantly, the model seems to perform consistently well for predicting the frequency dependence of phase velocity in calcaneus.
此前已有多个研究小组测量了松质骨中频率依赖性相速度(频散)。与大多数生物组织不同,松质骨中的相速度往往随频率降低。为了解释这一现象,人们采用了一种分层模型,该模型由骨和骨髓(体内)或水(体外)的交替层组成。在以下两种情况下测量了300至700kHz的频率依赖性相速度:1)由水中规则排列的聚苯乙烯薄片平行薄层组成的体模;2)30个体外跟骨样本。对于聚苯乙烯体模,理论与实验结果吻合良好。对于跟骨样本,该模型在预测平均相速度方面有一定的局限性(不确定性约为5%)。更重要的是,该模型在预测跟骨相中速度的频率依赖性方面似乎始终表现良好。