Voukelatos Dimitrios, Evangelidis Pavlos E, Pain Matthew T G
School of Sport, Exercise and Health Sciences, Loughborough University, Loughborough LE11 3TU, UK.
Faculty of Sport Sciences, Waseda University, Saitama 359-1192, Japan.
R Soc Open Sci. 2022 Apr 27;9(4):210696. doi: 10.1098/rsos.210696. eCollection 2022 Apr.
The hamstring to quadriceps (H : Q) strength ratio is widely used to identify individuals at risk of sustaining hamstring strain injuries. However, its efficacy is not supported by the current evidence. Current methods for the calculation of the H : Q ratio provide only a one- or two-dimensional ratio, often ignoring fundamental muscle mechanical properties. Based on isokinetic torque measurements of the knee flexors and extensors (0-400° s) in 25 young, physically active males, we derived a model equation that creates a three-dimensional H : Q functional ratio profile. The model robustness was tested against a different number of input torque data (8, 11, 14 and 17 pairs of points) and small perturbation of the knee joint angle data (5°). The model was consistent and behaved well under all conditions apart from the eight pairs of points ( = 0.84-0.96; RMSE = 0.14-0.25; NRMSE = 0.12-0.27), and the H : Q functional ratio was successfully described even at angles and velocities that cannot be normally assessed with isokinetic dynamometry. Overall, our results suggest that the model can provide a fast and accurate three-dimensional description of the knee joint muscle strength balance using as few as 11 experimental data points and this could be an easy-to-employ screening tool.
腘绳肌与股四头肌（H:Q）的力量比被广泛用于识别有腘绳肌拉伤风险的个体。然而，目前的证据并不支持其有效性。目前计算H:Q比的方法仅提供一维或二维的比值，常常忽略了基本的肌肉力学特性。基于对25名身体活跃的年轻男性膝关节屈肌和伸肌（0 - 400°/s）的等速扭矩测量，我们推导出了一个模型方程，该方程创建了一个三维H:Q功能比曲线。针对不同数量的输入扭矩数据（8、11、14和17对点）以及膝关节角度数据的小扰动（5°）对模型的稳健性进行了测试。除了八对点的情况外，该模型在所有条件下都表现一致且良好（R² = 0.84 - 0.96；RMSE = 0.14 - 0.25；NRMSE = 0.12 - 0.27），并且即使在等速测力法通常无法评估的角度和速度下，H:Q功能比也能成功描述。总体而言，我们的结果表明，该模型仅使用11个实验数据点就能快速准确地提供膝关节肌肉力量平衡的三维描述，这可能是一种易于使用的筛查工具。
