两种不同肌肉力求解算法的对比分析研究
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1.北京体育大学 体育工程学院;2.国家体育总局 体育科学研究所

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Comparison of two different algorithms for estimating muscle forces
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    摘要:

    目的 为了探究两种常用的肌肉力求解算法,即静态优化(static optimization,SO)算法和计算肌肉控制(computed muscle control,CMC)算法求解肌肉力结果的异同,为研究人员选择合适的肌肉力求解算法和横向对比不同研究的结果提供依据。方法 以4种不同速度下跑步的步态为研究动作,分别利用两种算法求解单个步态周期中下肢主要肌肉的肌肉力和肌肉激活并进行对比分析。结果 在参与跑步的10块主要肌肉中,除了胫骨前肌和股直肌外,两种算法求解的肌肉力和肌肉激活具有相似的变化曲线,且相关系数均在0.91以上,但SO算法求解的肌肉力峰值偏高,肌肉激活峰值的位置有一定延迟(~0.01秒)。结论 在动作分析时,如果研究重点在肌肉发力的时序以及不同肌肉之间的贡献比时,两种算法的选择没有太大区别,建议选择简单高效的SO算法。在横向对比不同研究中两种算法求解的肌肉力和肌肉激活结果时需要考虑二者的差异。

    Abstract:

    Objective To explore the differences between the results of the two commonly-used algorithms for estimating muscle forces, i.e., static optimization (SO) and computational muscle control (CMC), so as to provide basis for researchers to choose the appropriate one in movement analysis and compare the results from different studies. Methods Two algorithms were used to calculate the forces and activations of the major muscles in lower limbs in a single running gait cycle at four different speeds and the results were compared. Results Among the 10 major muscles participating in running, except for anterior tibial and rectus femoris, the muscle forces and muscle activations solved by the two algorithms had similar curves with correlation coefficients more than 0.91, and the peak value of muscle forces solved by SO was higher and the positions of peak muscle activation had a certain delay (~0.01 seconds). Conclusion In movement analysis, if the research focuses on the timing of muscle forces and the contribution ratios among different muscles, there is not too much difference and SO is recommended for its simplicity and efficiency. When comparing the muscle forces and muscle activations estimated by the two algorithms in different studies, the differences between them should be considered.

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  • 收稿日期:2021-08-13
  • 最后修改日期:2021-09-11
  • 录用日期:2021-09-23
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