踝关节小腿三头肌力臂非线性回归方程的探讨

Nonlinear Regression Equation for Arm of Force of Triceps Surae at Ankle Joint

用分段三次样条拟合计算了踝关节瞬时转动中心(简称瞬心)的位置,并根据肌力臂的定义,计算出不同踝关节角度时,小腿三头肌相对于瞬心的力臂。再按照统计学原理,对所得瞬心位置和肌力臂数据进行方差分析,利用多元非线性回归方法最终建立了肌力臂与踝关节形态参数及关节角度的非线性回归方程。

In this paper, the orientation of the instantaneous center of rotation (ICR)with respect to the ankle joint was determined by using the fitting of a third degree spline function. According to the definition of arm of force (AF)of muscle, the AF at ICR of triceps surae corresponding to esch rotation angle of ankle joint were calculated. Finally, with the ICR position and the data of AF,a nonlinear regression equation of rotation angle of ankle joint was established using variance analysis and nonlinear regressive method with poly variables.