通过逆向优化找出中风患者走路时肌肉发力的最优控制策略。
Inverse Optimal Control of Muscle Force Sharing During Pathological Gait
- 用逆向优化法找出最适合作为肌肉发力目标函数的组合。
- 非瘫痪腿以激活最小化为主,瘫痪腿则强调功率最小化。
- 该方法可帮助理解中风后不同肢体的神经控制差异。
肌肉力分配通常通过最小化特定目标函数来近似神经控制策略。本研究采用逆向最优控制方法,从15个常见目标函数的线性组合中,识别出两位中风男性(高功能S1与低功能S2)步态对应的最优目标函数。结果表明,最优函数具有个体和肢体特异性:单一函数无法通用,但最佳解多为肌激活与功率最小化的加权组合。针对各自肢体,个体特异性模型表现最优(S1非瘫痪/瘫痪腿RMSE 178/213 N,CC 0.71/0.61;S2对应值为205/165 N,CC 0.88/0.85),跨个体泛化能力差,尤其在瘫痪腿上。此外,瘫痪腿最优策略显著依赖肌肉功率均方根最小化,而非瘫痪腿则以激活最小化为主,提示两侧可能存在不同神经控制机制,或受痉挛影响。其中,唯一显式包含肌肉速度的功率最小化函数,可能为痉挛状态建模提供依据,尽管此前应用较少,但在中风步态建模中具有潜力。
原文摘要 · Abstract (English)
Muscle force sharing is typically resolved by minimizing a specific objective function to approximate neural control strategies. An inverse optimal control approach was applied to identify the "best" objective function, among a positive linear combination of basis objective functions, associated with the gait of two post-stroke males, one high-functioning (subject S1) and one low-functioning (subject S2). It was found that the "best" objective function is subject- and leg-specific. No single function works universally well, yet the best options are usually differently weighted combinations of muscle activation- and power-minimization. Subject-specific inverse optimal control models performed best on their respective limbs (\textbf{RMSE 178/213 N, CC 0.71/0.61} for non-paretic and paretic legs of S1; \textbf{RMSE 205/165 N, CC 0.88/0.85} for respective legs of S2), but cross-subject generalization was poor, particularly for paretic legs. Moreover, minimizing the root mean square of muscle power emerged as important for paretic limbs, while minimizing activation-based functions dominated for non-paretic limbs. This may suggest different neural control strategies between affected and unaffected sides, possibly altered by the presence of spasticity. Among the 15 considered objective functions commonly used in inverse dynamics-based computations, the root mean square of muscle power was the only one explicitly incorporating muscle velocity, leading to a possible model for spasticity in the paretic limbs. Although this objective function has been rarely used, it may be relevant for modeling pathological gait, such as post-stroke gait.
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