利用数学建模研究单腿跨股假肢行走时的膝关节扭矩动力学

IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Complexity Pub Date : 2024-07-19 DOI:10.1155/2024/8891686
Peguy Kameni Nteutse, Abebe Geletu
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引用次数: 0

摘要

经股截肢者需要依靠假肢来恢复行动能力并保持独立。然而,这些装置的设计和性能会严重影响截肢者的步态和整体功能。在本研究中,我们使用一个数学模型研究了单腿跨股假肢在行走过程中的膝关节扭矩动力学,该模型考虑了膝关节摩擦力(β2)、地面反作用力的水平分量(F1)和地面反作用力的垂直分量(F2)。通过在 MATLAB 工具和 Simulink 中进行模型仿真,我们得出了经股假肢产生的膝关节扭矩与正常人腿膝关节扭矩轨迹之间的跟踪误差。该误差采用归一化均方根误差法(NRMSE)进行评估。结果表明,当 β2 = 0.3 N.s.m-1、F1 = 320 N 和 F2 = 800 N 时,跟踪误差为 NRMSE = 0.342868%。将模拟膝关节扭矩与文献中研究的正常腿的理想膝关节扭矩轨迹进行比较后发现,产生的跟踪误差将迫使截肢者使用更高的代谢能量,以尽量减少行走时的不适感。这些发现凸显了优化经股假肢装置的设计和性能以改善膝关节扭矩动态和截肢者整体功能的重要性。我们的数学模型为这一领域的未来研究提供了有用的工具,有助于为经股截肢者开发更有效的假肢装置。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Investigation of Knee Torque Dynamics in Single-Leg Transfemoral Prosthetic during Walking Using Mathematical Modeling

Investigation of Knee Torque Dynamics in Single-Leg Transfemoral Prosthetic during Walking Using Mathematical Modeling

Transfemoral amputees rely on prosthetic devices to restore their mobility and maintain their independence. However, the design and performance of these devices can significantly affect the amputee’s gait and overall functionality. In this study, we investigate the knee torque dynamics of a single-leg transfemoral prosthetic during walking using a mathematical model that takes into consideration knee friction force (β2), the horizontal component of the ground reaction force (F1), and the vertical component of the ground reaction force (F2). By carrying out model simulation in the MATLAB tool, along with Simulink, we derived the tracking error between the generated knee torque of the transfemoral prosthesis and the knee torque trajectory for a normal human leg. This error was evaluated using the normalized root mean square error (NRMSE) method. Our results show that when β2 = 0.3 N.s.m−1, F1 = 320 N, and F2 = 800 N, a tracking error of NRMSE = 0.342868% occurs. A comparison between the simulated knee torque and a desired knee torque trajectory for a normal leg study in the literature suggests that the tracking error generated will force the amputee to use higher metabolic energy to minimize discomfort while walking. These findings highlight the importance of optimizing the design and performance of transfemoral prosthetic devices to improve the knee torque dynamics and overall functionality of amputees. Our mathematical model provides a useful tool for future research in this field, which could help develop more effective prosthetic devices for transfemoral amputees.

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来源期刊
Complexity
Complexity 综合性期刊-数学跨学科应用
CiteScore
5.80
自引率
4.30%
发文量
595
审稿时长
>12 weeks
期刊介绍: Complexity is a cross-disciplinary journal focusing on the rapidly expanding science of complex adaptive systems. The purpose of the journal is to advance the science of complexity. Articles may deal with such methodological themes as chaos, genetic algorithms, cellular automata, neural networks, and evolutionary game theory. Papers treating applications in any area of natural science or human endeavor are welcome, and especially encouraged are papers integrating conceptual themes and applications that cross traditional disciplinary boundaries. Complexity is not meant to serve as a forum for speculation and vague analogies between words like “chaos,” “self-organization,” and “emergence” that are often used in completely different ways in science and in daily life.
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