姿势摇摆的随机动力学模型由双 Ornstein Uhlenbeck 过程建模
Naci Barış Yaradanakul1, Maryam Hassanpour1, Senih Gürses2
1Middle East Technical University, Engineering Sciences, Üniversiteler Mahallesi, Dumlupınar Blv. No:1, Ankara, 06800, Türkiye.
Biological cybernetics
|January 20, 2026
概括
在静止状态下压力中心 (CoPx) 动态涉及两个过程. 一个新的双奥恩斯坦-乌伦贝克 (dOU) 模型揭示了这些动态在符合的表面上更明显,表明复杂的姿势控制.
科学领域:
- 生物力学 生物力学
- 人类的姿势控制
- 动态系统理论 动态系统理论
背景情况:
- 静静的姿势需要复杂的姿势调整.
- 压力中心 (CoPx) 动态反映了这些调整.
- 现有的模型可能无法完全捕捉多级控制.
研究的目的:
- 为了研究前后后部CoPx (CoPx) 的两级动态.
- 提出和验证一个新的双奥恩斯坦-乌伦贝克 (dOU) 过程模型.
- 在不同的感官和表面条件下分析姿势控制.
主要方法:
- 开发了一个合的随机微分方程模型 (dOU).
- 导出分析相关性和功率光谱密度 (PSD) 函数.
- 实验测试了八名健康受试者在四个感官条件下在刚性和符合表面上进行实验.
- 通过将实验PSD估计与分析函数进行比较,优化模型参数.
主要成果:
- 快速姿势正过程的平均逆转率 (λ) 在刚性表面上更高.
- 在刚性表面上,CoPx动态主要是由单个奥恩斯坦-乌伦贝克 (OU) 过程描述的.
- 在符合要求的表面上,λ接近缓慢过程的速率 (κ),波动性增加,表明明显的两级动态.
- 该dOU模型有效地捕获了CoPx.的边界扩散特征.
结论:
- 在符合要求的表面上,两级CoPx动态更明显.
- dOU模型为分析复杂的姿势摆动提供了一个强大的框架.
- 结果突出了表面合规性对姿势控制策略的影响.
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