Cole N M, Barry D T
Department of Physical Medicine and Rehabilitation, University of Michigan Medical Center, University Hospital, Ann Arbor 48109-0042.
Biophys J. 1994 Apr;66(4):1104-14. doi: 10.1016/S0006-3495(94)80891-4.
The purpose of this study was to determine the relationships among muscle sound frequencies, muscle tension, and stiffness. Time-frequency transformations of nonstationary acoustic signals provided measures of resonant frequency during isometric contractions of frog (Rana pipiens) semitendinosus and gastrocnemius muscles. A mathematical expression for muscle transverse resonant frequency, elastic modulus and tension, based on elastic beam theory, was formulated by the Rayleigh method adapted for muscles. For thin muscles, the elastic modulus was found to have negligible influence on transverse muscle resonant frequency. Changes in muscle tension were the major determinants of changes in transverse resonant frequency. Consequently, for thin muscles, the time course of muscle tension, but not elastic modulus, can be monitored acoustically during the early phase of contraction when muscles give rise to sounds. Muscles were found to be anisotropic with a modulus of elasticity, EL, measured via length perturbations near 0.1% muscle length peak-to-peak, that was much larger than the modulus of elasticity, Eb, that resists the lateral bending that causes sound production. The elastic and resonant behavior of a thin muscle is similar to a tensioned fibrous cable with distributed mass.
本研究的目的是确定肌肉声音频率、肌肉张力和刚度之间的关系。非平稳声学信号的时频变换提供了青蛙(豹蛙)半腱肌和腓肠肌等长收缩期间共振频率的测量值。基于弹性梁理论,采用适用于肌肉的瑞利方法,推导了肌肉横向共振频率、弹性模量和张力的数学表达式。对于细肌肉,发现弹性模量对横向肌肉共振频率的影响可忽略不计。肌肉张力的变化是横向共振频率变化的主要决定因素。因此,对于细肌肉,在肌肉发出声音的收缩早期阶段,可以通过声学监测肌肉张力的时间进程,而不是弹性模量。研究发现,肌肉是各向异性的,通过在接近0.1%肌肉长度峰峰值处的长度扰动测量的弹性模量EL,远大于抵抗导致声音产生的横向弯曲的弹性模量Eb。细肌肉的弹性和共振行为类似于具有分布质量的张紧纤维索。