Suzuki Yasuyuki, Morimoto Hiroki, Kiyono Ken, Morasso Pietro G, Nomura Taishin
Department of Mechanical Science and Bioengineering, Graduate School of Engineering Science, Osaka University Osaka, Japan.
Robotics, Brain and Cognitive Sciences Department, Fondazione Istituto Italiano di Tecnologia Genoa, Italy.
Front Hum Neurosci. 2016 Dec 6;10:618. doi: 10.3389/fnhum.2016.00618. eCollection 2016.
Human postural sway during stance arises from coordinated multi-joint movements. Thus, a sway trajectory represented by a time-varying postural vector in the multiple-joint-angle-space tends to be constrained to a low-dimensional subspace. It has been proposed that the subspace corresponds to a manifold defined by a kinematic constraint, such that the position of the center of mass (CoM) of the whole body is constant in time, referred to as the kinematic uncontrolled manifold (). A control strategy related to this hypothesis () claims that the central nervous system (CNS) aims to keep the posture close to the kinematic-UCM using a continuous feedback controller, leading to sway patterns that mostly occur within the kinematic-UCM, where no corrective control is exerted. An alternative strategy proposed by the authors () claims that the CNS stabilizes posture by intermittently suspending the active feedback controller, in such a way to allow the CNS to exploit a stable manifold of the saddle-type upright equilibrium in the state-space of the system, referred to as the , when the state point is on or near the manifold. Although the mathematical definitions of the kinematic- and dynamic-UCM are completely different, both UCMs play similar roles in the stabilization of multi-joint upright posture. The purpose of this study was to compare the dynamic performance of the two control strategies. In particular, we considered a double-inverted-pendulum-model of postural control, and analyzed the two UCMs defined above. We first showed that the geometric configurations of the two UCMs are almost identical. We then investigated whether the UCM-component of experimental sway could be considered as passive dynamics with no active control, and showed that such UCM-component mainly consists of high frequency oscillations above 1 Hz, corresponding to anti-phase coordination between the ankle and hip. We also showed that this result can be better characterized by an eigenfrequency associated with the dynamic-UCM. In summary, our analysis highlights the close relationship between the two control strategies, namely their ability to simultaneously establish small CoM variations and postural stability, but also make it clear that the intermittent control hypothesis better explains the spectral characteristics of sway.
站立时人体姿势摇摆源于多关节的协调运动。因此,在多关节角度空间中由随时间变化的姿势向量表示的摇摆轨迹往往会被限制在一个低维子空间内。有人提出,该子空间对应于一个由运动学约束定义的流形,使得整个身体的质心(CoM)位置在时间上保持恒定,这被称为运动学非受控流形(kinematic uncontrolled manifold,UCM)。与该假设相关的一种控制策略声称,中枢神经系统(CNS)旨在使用连续反馈控制器使姿势接近运动学UCM,从而导致摇摆模式大多出现在运动学UCM内,在此期间不施加纠正控制。作者提出的另一种策略声称,CNS通过间歇性地暂停主动反馈控制器来稳定姿势,以便当状态点位于或接近该流形时,中枢神经系统能够利用系统状态空间中鞍型直立平衡的稳定流形,即动态UCM(dynamic-UCM)。尽管运动学UCM和动态UCM的数学定义完全不同,但这两种UCM在多关节直立姿势的稳定中都起着相似的作用。本研究的目的是比较这两种控制策略的动态性能。具体而言,我们考虑了姿势控制的双倒立摆模型,并分析了上述两种UCM。我们首先表明,两种UCM的几何构型几乎相同。然后,我们研究了实验摇摆的UCM分量是否可被视为无主动控制的被动动力学,并表明这种UCM分量主要由高于1Hz的高频振荡组成,对应于踝关节和髋关节之间的反相协调。我们还表明,这一结果可以通过与动态UCM相关的特征频率得到更好的表征。总之,我们的分析突出了两种控制策略之间的密切关系,即它们同时建立小的CoM变化和姿势稳定性的能力,但也明确表明间歇性控制假设能更好地解释摇摆的频谱特征。