Zagrodny Bartłomiej, Ludwicki Michał, Wojnicz Wiktoria, Mrozowski Jerzy, Awrejcewicz Jan
Łódz University of Technology, Faculty of Mechanical Engineering, Department of Automation, Biomechanics and Mechatronics, Łódź, Poland.
J Musculoskelet Neuronal Interact. 2018 Jun 1;18(2):176-182.
The aim of this study was to create and analyze a Pareto-optimal problem that would describe cooperation between mono- and bi-articulate lower limb muscles in sagittal plane.
Equations describing the problem were derived and analyzed, additional constrains were introduced and experimental verification based on gait video analysis was performed.
Uncertainty of Pareto-optimal solution is shown for the muscular-skeletal system. An explanation of this situation is presented and discussed. Moreover, this theoretical observation is compared with a lack of gait reproducibility. Small but noticeable differences in gait cycles are shown and explained.
A muscular system redundancy is shown and explained by the meaning of Pareto problem. Theoretical considerations were confirmed through a gait analysis. This leads to the conclusion, that during muscle cooperation each movement cycle can be different from the previous one, however due to physiological restrictions only a narrow equivalence class of the possible solutions exists.
本研究的目的是创建并分析一个帕累托最优问题，该问题将描述矢状面下单关节和双关节下肢肌肉之间的协作。
推导并分析描述该问题的方程，引入额外约束条件，并基于步态视频分析进行实验验证。
显示了肌肉骨骼系统帕累托最优解的不确定性。对这种情况进行了说明和讨论。此外，将这一理论观察结果与步态缺乏可重复性进行了比较。展示并解释了步态周期中微小但明显的差异。
通过帕累托问题的意义展示并解释了肌肉系统冗余。通过步态分析证实了理论考量。由此得出结论，在肌肉协作过程中，每个运动周期可能与前一个周期不同，然而由于生理限制，仅存在可能解的一个狭窄等价类。
