IEEE Trans Neural Syst Rehabil Eng. 2020 Dec;28(12):3022-3030. doi: 10.1109/TNSRE.2020.3045268. Epub 2021 Jan 28.
We propose a point-mass biomechanical model to estimate the forces and moments supported by the upper extremity during Lofstrand crutch-assisted gait. This model is based on the Newtonian classical mechanics and the angular momentum theorem. The system arm-crutch is divided into three segments: 1) crutch, 2) wrist-elbow, and 3) elbow-shoulder. The theoretical model was experimentally validated with a disabled person with spinal cord injury. Two crutch-assisted gait patterns have been chosen to carry out the experimental validation: two-point reciprocal gait and swing-through gait. Six position markers (three placed on the arm and three placed on the crutch) and two force sensors (placed on the crutch) were used in experiments for testing the model. The results were compared with a distributed-mass model based on studies previously published, concluding that the relative mean difference between models is less than 3% Body Weight and 1% Body Weight times Height when forces and moments are estimated, respectively. Some advantages of using a point-mass model are summarized: simple formulation, easy to understand; require less numerical calculation reducing the computational cost; requires less position markers placed on the subject, increasing therefore the comfort of the subject.
我们提出了一个质点生物力学模型,用于估计上肢在洛夫斯特朗拐杖辅助行走时所承受的力和力矩。该模型基于牛顿经典力学和角动量定理。将系统臂-拐杖分为三个部分:1)拐杖,2)腕肘,3)肘肩。理论模型通过一位脊髓损伤的残疾人进行了实验验证。选择了两种拐杖辅助行走模式来进行实验验证:两点往复步态和摆动步态。实验中使用了六个位置标记(三个放在手臂上,三个放在拐杖上)和两个力传感器(放在拐杖上)来测试模型。结果与基于先前发表的研究的分布式质量模型进行了比较,结论是在估计力和力矩时,模型之间的相对平均差异小于 3%体重和 1%体重乘以身高。总结了使用质点模型的一些优点:公式简单,易于理解;需要较少的数值计算,从而降低计算成本;需要在受试者身上放置较少的位置标记,从而增加了受试者的舒适度。