Shen Keng-Hung, Lee Robert, Hsiao Hao-Yuan
IEEE Trans Neural Syst Rehabil Eng. 2025;33:1427-1438. doi: 10.1109/TNSRE.2025.3559857. Epub 2025 Apr 18.
In typical human gait, the body center-of-mass (CoM) is cyclically transferred towards and supported by each lower extremity. The magnitude of this CoM transfer can be quantified by measuring the minimum mediolateral distance between the CoM and the stance foot during each step. Individuals with hemiparesis due to stroke often show a reduced and more variable CoM transfer magnitude in paretic versus non-paretic steps, which are linked to slower walking speeds and an increased risk of falling. While the commonly observed wider and more variable paretic foot placement at initial contact likely contributes to such frontal plane CoM transfer abnormalities, other factors could continue to adjust the CoM transfer magnitude after initial contact. To understand how the CoM transfer magnitude evolves throughout the transfer process, we derived an inverted-pendulum-based equation that projects the experimentally measured instantaneous mediolateral CoM position and velocity to the CoM transfer magnitude. We first validated our derived equation by demonstrating that CoM transfer magnitude can be predicted by the CoM position and velocity at the end of the double support phase with passive inverted pendulum dynamics. We then investigated how the asymmetry of this projected CoM transfer magnitude between the paretic and non-paretic steps evolves during the transfer process. Our findings revealed that about 54% of the transfer magnitude asymmetry was established at initial contact, predominantly influenced by foot placement, while another 38% was established during the double support phase, partly due to reduced work input from the non-paretic trailing limb. Additionally, the variability in transfer magnitude was augmented during the double support phase in paretic steps. Overall, the present study introduces a physics-based method capable of predicting CoM transfer magnitude in advance of its completion, and our findings highlight the significant contribution of the double support phase, which was previously less explored, to the asymmetries in CoM transfer magnitude and variability. Our results suggest that biomechanical factors during this phase, such as trailing limb work input, could be critical targets for future research and therapeutic interventions.
在典型的人类步态中,身体重心(CoM)会周期性地向每个下肢移动并由其支撑。这种重心转移的幅度可以通过测量每一步中重心与支撑脚之间的最小内外侧距离来量化。中风导致偏瘫的个体在患侧与非患侧步态中,通常表现出重心转移幅度减小且变化更大,这与步行速度减慢和跌倒风险增加有关。虽然在初始接触时常见的患侧脚放置更宽且变化更大可能导致这种额状面重心转移异常,但在初始接触后其他因素可能继续调节重心转移幅度。为了了解重心转移幅度在整个转移过程中是如何演变的,我们推导了一个基于倒立摆的方程,该方程将实验测量的瞬时内外侧重心位置和速度投影到重心转移幅度上。我们首先通过证明在被动倒立摆动力学的双支撑阶段结束时,重心位置和速度可以预测重心转移幅度,从而验证了我们推导的方程。然后,我们研究了患侧和非患侧步态中这种投影重心转移幅度的不对称性在转移过程中是如何演变的。我们的研究结果表明,约54%的转移幅度不对称性在初始接触时就已形成,主要受脚放置的影响,而另外38%在双支撑阶段形成,部分原因是来自非患侧后肢的功输入减少。此外,患侧步态的双支撑阶段转移幅度的变异性增加。总体而言,本研究引入了一种基于物理学的方法,能够在重心转移完成之前预测重心转移幅度,我们的研究结果突出了此前较少被探索的双支撑阶段对重心转移幅度和变异性不对称性的重大贡献。我们的结果表明,该阶段的生物力学因素,如后肢功输入,可能是未来研究和治疗干预的关键目标。