Kuo A D, Zajac F E
Mechanical Engineering Department, Stanford University, CA 94305.
Prog Brain Res. 1993;97:349-58. doi: 10.1016/s0079-6123(08)62294-3.
We developed a theoretical framework for studying coordination strategies in standing posture. The framework consists of a musculoskeletal model of the human lower extremity in the sagittal plane and a technique to visualize, geometrically, how constraints internal and external to the body affect movement. The set of all feasible accelerations (i.e., the "feasible acceleration set" or FAS) that muscles can induce at positions near upright were calculated. We found that musculoskeletal mechanics dictate that independent control of joints is relatively difficult to achieve. When muscle activations are constrained so the knees stay straight, to approximate the typical postural response to perturbation, the corresponding subset of the feasible acceleration set greatly favors a combination of ankle and hip movement in the ratio 1:3 (called the "hip strategy"). Independent control of these two joints remains difficult to achieve. When near the boundary of instability, the orientation and shape of this subset show that the movement strategy necessary to maintain stability, without taking a step, is quite restricted. Hypothesizing that regulation of center-of-mass position is crucial to maintaining balance, we examined the feasible set of center-of-mass accelerations. When the knees must be kept straight, the acceleration of the center of mass is severely limited vertically, but not horizontally. We also found that the "ankle strategy", involving rotation about the ankles only, requires more muscle activation than the "hip strategy" for a given amount of horizontal acceleration. Our model therefore predicts that the hip strategy is most effective at controlling the center of mass with minimal muscle activation ("neural effort").
我们开发了一个用于研究站立姿势协调策略的理论框架。该框架由矢状面内人体下肢的肌肉骨骼模型以及一种从几何角度可视化身体内部和外部约束如何影响运动的技术组成。计算了肌肉在接近直立姿势位置时能够产生的所有可行加速度集合(即“可行加速度集”或FAS)。我们发现,肌肉骨骼力学表明关节的独立控制相对难以实现。当肌肉激活受到限制以使膝盖保持伸直时,以近似对扰动的典型姿势反应,可行加速度集的相应子集极大地倾向于脚踝和髋部运动以1:3的比例组合(称为“髋部策略”)。这两个关节的独立控制仍然难以实现。当接近不稳定边界时,该子集的方向和形状表明,在不采取步幅的情况下维持稳定性所需的运动策略受到相当大的限制。假设质心位置的调节对于维持平衡至关重要,我们研究了质心加速度的可行集。当膝盖必须保持伸直时,质心的加速度在垂直方向上受到严重限制,但在水平方向上不受限制。我们还发现,对于给定的水平加速度量,仅涉及脚踝旋转的“脚踝策略”比“髋部策略”需要更多的肌肉激活。因此,我们的模型预测,髋部策略在以最小的肌肉激活(“神经努力”)控制质心方面最有效。