Brown Stephen H M, McGill Stuart M
Department of Kinesiology, University of Waterloo, Waterloo, Ont., Canada N2L 3G1.
Clin Biomech (Bristol). 2005 Nov;20(9):917-22. doi: 10.1016/j.clinbiomech.2005.06.002.
The muscle force-stiffness relationship has often been modeled as linear, while in situ muscle research has clearly demonstrated non-linearity. Estimation of rotational joint stability relies on both a muscle's instantaneous pre-perturbation force and stiffness. Under conditions of static equilibrium, a muscle's stiffness will function in a stabilizing manner, while its force can function in either a stabilizing or destabilizing manner depending on the muscle's orientation about the joint.
A single muscle (rectus abdominis) was modeled and its individual direct stabilizing potential about the L4-L5 spine joint was analyzed. Three force-stiffness relationships were examined: (1) linear; (2) non-linear with moderate stiffness magnitudes; (3) non-linear with higher stiffness magnitudes.
With a linear force-stiffness relationship, stability increased proportional to muscle force; with a non-linear relationship, stability peaked and subsequently decreased at submaximal muscle forces. When considering the lower, as opposed to the higher non-linear stiffness magnitudes, the stabilizing potential of the muscle peaked at a lower muscle force level and actually became negative (destabilizing) at a critical stiffness magnitude.
It was concluded that a non-linear muscle force-stiffness relationship greatly alters the individual stabilizing potential of the muscle throughout its progression of force development. A muscle's stabilizing contribution may actually peak at and subsequently decrease above a critical submaximal force level. Incorporating this knowledge into stability models may assist in recognizing unstable events that lead to injury at higher levels of muscle activation.
肌肉力-刚度关系通常被建模为线性关系,而原位肌肉研究已明确证明其具有非线性。旋转关节稳定性的估计依赖于肌肉的瞬时扰动前力和刚度。在静态平衡条件下,肌肉的刚度起稳定作用,而其力根据肌肉在关节周围的方向可起稳定或破坏稳定的作用。
对单一肌肉(腹直肌)进行建模,并分析其在L4-L5脊柱关节处各自的直接稳定潜能。研究了三种力-刚度关系:(1)线性;(2)具有中等刚度大小的非线性;(3)具有较高刚度大小的非线性。
在线性力-刚度关系下,稳定性随肌肉力成比例增加;在非线性关系下,稳定性在次最大肌肉力时达到峰值,随后下降。当考虑较低而非较高的非线性刚度大小时,肌肉的稳定潜能在较低的肌肉力水平达到峰值,并且在临界刚度大小时实际上变为负值(破坏稳定)。
得出的结论是,非线性肌肉力-刚度关系在肌肉力发展过程中极大地改变了肌肉的个体稳定潜能。肌肉的稳定贡献实际上可能在临界次最大力水平及以上达到峰值并随后下降。将这一知识纳入稳定性模型可能有助于识别在更高肌肉激活水平下导致损伤的不稳定事件。