使用高斯基数函数对垂直地面反应力进行生理上受约束的分解:步态特征的全曲线方法
1Professor-Friedrich-Förster Gymnasium, Schulstraße 23, 39304 Haldensleben, Germany; Polarith GmbH, Am Krökentor 1a, 39104 Magdeburg, Germany.
Journal of biomechanics
|October 5, 2025
概括
一个新的高斯模型准确地重建了垂直地面反应力 (vGRF) 步态波形. 这种阶段定模板揭示了传统的峰值分析错过的微妙的步态偏差,有助于康复和诊断.
科学领域:
- 生物力学 生物力学
- 步态分析 步态分析
- 计算机建模 计算建模
背景情况:
- 传统的步态分析指标往往侧重于峰值,可能缺少关键的动态信息.
- 现有的方法可能无法完全捕捉各种人群中垂直地面反应力 (vGRF) 波形的复杂性.
研究的目的:
- 开发和验证一个相固的高斯模型,用于重建整个vGRF波形.
- 使用这种新型模型,量化各种临床和运动群体中与规范步态模式的偏差.
- 评估模型能够揭示基于峰值的分析所掩盖的微妙步行特征的能力.
主要方法:
- 从健康,中风后,关节整形术后,假肢使用者和冲刺人群中数字化了91个vGRF痕迹.
- 通过使用受约束的非线性优化,将八个组件的高斯基基函数模型安装到正常化的vGRF数据中.
- 将位置参数 (μ) 限制在规范范围内,同时优化振幅 (A) 和宽度 (σ).
主要成果:
- 该模型在复制vGRF形态方面实现了高保真性 (R2 0.950.99,RMSE <0.03体重).
- 固定相位参数 (μ) 准确地重建了一个参考步行曲线 (R2 = 0.996).
- 雷达图谱的幅度和宽度在中风后,关节整形后和假肢步行中发现了特征性偏差,这些偏差在峰值指标中并不明显.
结论:
- 八个组件的高斯模型提供了一个简洁的 (24参数) 和vGRF轨迹的准确表示.
- 阶段性定方法提高了对步行异常的诊断灵敏度,并有助于康复监测.
- 该模型适用于存储效率高的步态分析,适用于可穿戴技术和大规模数据库.
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