Bobbert Maarten F, Gómez Alvarez Constanza B, van Weeren P René, Roepstorff Lars, Weishaupt Michael A
Institute for Fundamental and Clinical Human Movement Sciences, Vrije Universiteit, van der Boechorstraat 9, NL-1081 BT, Amsterdam, The Netherlands.
J Exp Biol. 2007 Jun;210(Pt 11):1885-96. doi: 10.1242/jeb.02774.
The purpose of this study was to determine whether individual limb forces could be calculated accurately from kinematics of trotting and walking horses. We collected kinematic data and measured vertical ground reaction forces on the individual limbs of seven Warmblood dressage horses, trotting at 3.4 m s(-1) and walking at 1.6 m s(-1) on a treadmill. First, using a segmental model, we calculated from kinematics the total ground reaction force vector and its moment arm relative to each of the hoofs. Second, for phases in which the body was supported by only two limbs, we calculated the individual reaction forces on these limbs. Third, we assumed that the distal limbs operated as linear springs, and determined their force-length relationships using calculated individual limb forces at trot. Finally, we calculated individual limb force-time histories from distal limb lengths. A good correspondence was obtained between calculated and measured individual limb forces. At trot, the average peak vertical reaction force on the forelimb was calculated to be 11.5+/-0.9 N kg(-1) and measured to be 11.7+/-0.9 N kg(-1), and for the hindlimb these values were 9.8+/-0.7 N kg(-1) and 10.0+/-0.6 N kg(-1), respectively. At walk, the average peak vertical reaction force on the forelimb was calculated to be 6.9+/-0.5 N kg(-1) and measured to be 7.1+/-0.3 N kg(-1), and for the hindlimb these values were 4.8+/-0.5 N kg(-1) and 4.7+/-0.3 N kg(-1), respectively. It was concluded that the proposed method of calculating individual limb reaction forces is sufficiently accurate to detect changes in loading reported in the literature for mild to moderate lameness at trot.
本研究的目的是确定能否根据小跑和行走马匹的运动学准确计算单个肢体的力。我们收集了运动学数据,并测量了7匹温血盛装舞步马在跑步机上以3.4 m s(-1)的速度小跑和以1.6 m s(-1)的速度行走时各肢体上的垂直地面反作用力。首先,使用节段模型,我们根据运动学计算了总地面反作用力矢量及其相对于每个蹄的力臂。其次,对于身体仅由两个肢体支撑的阶段,我们计算了这些肢体上的单个反作用力。第三,我们假设远端肢体作为线性弹簧起作用,并使用小跑时计算出的单个肢体力确定它们的力-长度关系。最后,我们根据远端肢体长度计算了单个肢体力随时间的变化历程。计算得到的和测量得到的单个肢体力之间具有良好的一致性。在小跑时,前肢的平均垂直反作用力峰值计算为11.5±0.9 N kg(-1),测量值为11.7±0.9 N kg(-1),后肢的这些值分别为9.8±0.7 N kg(-1)和10.0±0.6 N kg(-1)。在行走时,前肢的平均垂直反作用力峰值计算为6.9±0.5 N kg(-1),测量值为7.1±0.3 N kg(-1),后肢的这些值分别为4.8±0.5 N kg(-1)和4.7±0.3 N kg(-1)。得出的结论是,所提出的计算单个肢体反作用力的方法足够准确,能够检测文献中报道的小跑时轻度至中度跛行的负荷变化。