Biomechanics in Sports, Department of Sport and Health Sciences, Technical University of Munich, Georg-Brauchle-Ring 60/62, 80992, Munich, Germany.
Institute of Engineering and Computational Mechanics, University of Stuttgart, Stuttgart, Germany.
Sci Rep. 2023 Apr 21;13(1):6588. doi: 10.1038/s41598-023-33643-9.
In vivo, the force-velocity relation (F-v-r) is typically derived from the torque-angular velocity relation (T-ω-r), which is subject to two factors that may influence resulting measurements: tendon compliance and preload prior to contraction. The in vivo plantar flexors' T-ω-r was determined during preloaded maximum voluntary shortening contractions at 0-200°/s. Additionally, we used a two factor block simulation study design to independently analyze the effects of preload and tendon compliance on the resulting T-ω-r. Therefore, we replicated the in vivo experiment using a Hill-type muscle model of the gastrocnemius medialis. The simulation results matched a key pattern observed in our recorded in vivo experimental data: during preloaded contractions, torque output of the muscle was increased when compared with non-preloaded contractions from literature. This effect increased with increasing contraction velocity and can be explained by a rapidly recoiling tendon, allowing the contractile element to contract more slowly, thus developing higher forces compared with non-preloaded contractions. Our simulation results also indicate that a more compliant tendon results in increased ankle joint torques. The simulation and the experimental data clearly show that the deduction of the in vivo F-v-r from the T-ω-r is compromised due to the two factors preloading and tendon compliance.
在体内,力-速度关系(F-v-r)通常是从扭矩-角速度关系(T-ω-r)推导出来的,而 T-ω-r 受到两个可能影响测量结果的因素的影响:肌腱顺应性和收缩前的预载。在体内跖屈肌的 T-ω-r 在 0-200°/s 的预载最大自主缩短收缩期间确定。此外,我们使用了两因素块模拟研究设计来独立分析预载和肌腱顺应性对产生的 T-ω-r 的影响。因此,我们使用比目鱼肌的 Hill 型肌肉模型复制了体内实验。模拟结果与我们记录的体内实验数据中的一个关键模式相吻合:在预载收缩期间,与文献中的非预载收缩相比,肌肉的扭矩输出增加。这种效应随着收缩速度的增加而增加,可以用快速回弹的肌腱来解释,允许收缩元素更缓慢地收缩,从而与非预载收缩相比产生更高的力。我们的模拟结果还表明,更顺应的肌腱会导致踝关节扭矩增加。模拟和实验数据清楚地表明,由于两个因素预载和肌腱顺应性,从 T-ω-r 推断体内 F-v-r 是有问题的。