Schultz A B, Faulkner J A, Kadhiresan V A
Department of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor 48109-2125.
J Appl Physiol (1985). 1991 Feb;70(2):803-12. doi: 10.1152/jappl.1991.70.2.803.
The purpose of this study was to develop a model to predict the mechanical response of muscles during isometric tetanic, afterloaded isotonic and isovelocity shortening contractions. Two versions of the model were developed. Both incorporated a contractile element that obeyed a Hill force-velocity relationship and a series elastic element. In a quadratic spring version, the series elastic element force was represented as proportional to the square of the stretch; in a cubic spring version, it was represented as proportional to the cube of the stretch. Both versions provided closed-form equations for response predictions that involved four independent parameters. Once the four parameters were chosen, each of these responses could be predicted. Model validity was established by comparing predicted and observed responses in slow and fast hindlimb muscles of rodents. Significant model-predicted responses seldom differed by more than 15% from experimental values. The model can provide insights into how changes in individual properties affect the overall mechanical behavior of muscles in a variety of circumstances and reduce the need for collection of experimental data.
本研究的目的是开发一个模型，以预测肌肉在等长强直收缩、后负荷等张收缩和等速缩短收缩过程中的力学响应。开发了该模型的两个版本。两者都包含一个遵循希尔力-速度关系的收缩元件和一个串联弹性元件。在二次弹簧版本中，串联弹性元件的力表示为与拉伸的平方成正比；在三次弹簧版本中，它表示为与拉伸的立方成正比。两个版本都提供了用于响应预测的封闭形式方程，这些方程涉及四个独立参数。一旦选择了这四个参数，就可以预测这些响应中的每一个。通过比较啮齿动物慢、快后肢肌肉的预测响应和观察到的响应，建立了模型的有效性。模型预测的显著响应与实验值的差异很少超过15%。该模型可以深入了解个体特性的变化如何在各种情况下影响肌肉的整体力学行为，并减少收集实验数据的需求。
