Mast T D, Pierce A D
Diagnostic Ultrasound Research Laboratory, University of Rochester Medical Center, NY 14642, USA.
J Biomech. 1995 Sep;28(9):1045-53. doi: 10.1016/0021-9290(94)00161-v.
Narrow-band sounds are known to be associated with some intracranial aneurysms. Previously proposed theories for the mechanism of aneurysm sounds do not satisfactorily explain the small spectral widths of the sounds. A simple theory is proposed here which gives quantitatively correct predictions of the spectral widths and which also explains other salient features of aneurysm sounds. The physical features of the aneurysm are described in terms of lumped mechanical elements, and the interaction between the aneurysm vibration and the blood flow is recognized as having the characteristic features of a nonlinear feedback system. The resulting model, with the application of the method of describing function analysis commonly used in nonlinear control theory, yields predictions of steady oscillation frequencies and predictions of the ranges of arterial flow velocities for which substantial oscillations can be excited. An analysis of radiation losses associated with peristaltic waves indicates that aneurysms, in the absence of any nonlinearity, behave as low-quality factor resonators with resonator quality factors on the order of 1-10, much lower than those that would be inferred from the observed spectral widths of aneurysm sounds. Aneurysm sounds are predicted by the present nonlinear theory to have center frequencies on the order of 400 Hz and bandwidths corresponding to quality factors on the order of 40, in good agreement with in vivo observations. It is concluded that linear resonance theories are incapable of fully describing aneurysm sounds.(ABSTRACT TRUNCATED AT 250 WORDS)
已知窄带声音与一些颅内动脉瘤有关。先前提出的关于动脉瘤声音机制的理论并不能令人满意地解释这些声音的小频谱宽度。这里提出了一个简单的理论,它能对频谱宽度给出定量正确的预测,并且还能解释动脉瘤声音的其他显著特征。动脉瘤的物理特征用集总机械元件来描述,并且动脉瘤振动与血流之间的相互作用被认为具有非线性反馈系统的特征。通过应用非线性控制理论中常用的描述函数分析方法,得到的模型可以预测稳态振荡频率以及能够激发显著振荡的动脉血流速度范围。对与蠕动波相关的辐射损耗的分析表明,在没有任何非线性的情况下,动脉瘤表现为品质因数约为1 - 10的低品质因数谐振器,远低于从观察到的动脉瘤声音频谱宽度推断出的品质因数。当前的非线性理论预测动脉瘤声音的中心频率约为400 Hz,带宽对应品质因数约为40,这与体内观察结果非常吻合。得出的结论是,线性共振理论无法完全描述动脉瘤声音。(摘要截断于250字)