Scholz J P, Schöner G, Latash M L
Department of Physical Therapy and Interdisciplinary Neuroscience Program, University of Delaware, Newark, DE 19716, USA.
Exp Brain Res. 2000 Dec;135(3):382-404. doi: 10.1007/s002210000540.
The question of degrees of freedom in the control of multijoint movement is posed as the problem of discovering how the motor control system constrains the many possible combinations of joint postures to stabilize task-dependent essential variables. Success at a task can be achieved, in principle, by always adopting a particular joint combination. In contrast, we propose a more selective control strategy: variations of the joint configuration that leave the values of essential task variables unchanged are predicted to be less controlled (i.e., stabilized to a lesser degree) than joint configuration changes that shift the values of the task variables. Our experimental task involved shooting with a laser pistol at a target under four conditions. The seven joint angles of the arm were obtained from the recorded positions of markers on the limb segments. The joint configurations observed at each point in normalized time were analyzed with respect to trial-to-trial variability. Different hypotheses about relevant task variables were used to define sets of joint configurations ("uncontrolled manifolds" or UCMs) that, if realized, would leave essential task variables unchanged. The variability of joint configurations was decomposed into components lying parallel to those sets and components lying in their complement. The orientation of the gun's barrel relative to a vector pointing from the gun to the target was the task variable most successful at showing a difference between the two components of joint variability. This variable determines success at the task. Throughout the movement, not only while the gun was pointing at the target, fluctuations of joint configuration that affected this variable were much reduced compared with fluctuations that did not affect this variable. The UCM principle applied to relative gun orientation thus captures the structure of the motor control system across different parts of joint configuration space as the movement evolves in time. This suggests a specific control strategy in which changes of joint configuration that are irrelevant to success at the task are selectively released from control. By contrast, constraints representing an invariant spatial position of the gun or of the arm's center of mass structured joint configuration variability in the early and mid-portion of the movement trajectory, but not at the time of shooting. This specific control strategy is not trivial, because a target can be hit successfully also by controlling irrelevant directions in joint space equally to relevant ones. The results indicate that the method can be successfully used to determine the structure of coordination in joint space that underlies the control of the essential variables for a given task.
多关节运动控制中的自由度问题被提出,作为一个发现运动控制系统如何约束关节姿势的多种可能组合以稳定任务相关基本变量的问题。原则上,通过始终采用特定的关节组合可以实现任务的成功。相比之下,我们提出了一种更具选择性的控制策略:与改变任务变量值的关节配置变化相比,使基本任务变量值保持不变的关节配置变化预计受到的控制较少(即稳定程度较低)。我们的实验任务包括在四种条件下用激光手枪射击目标。手臂的七个关节角度是从肢体节段上标记的记录位置获得的。针对试验间变异性分析了在归一化时间的每个点观察到的关节配置。关于相关任务变量的不同假设被用于定义关节配置集(“非受控流形”或UCMs),如果实现这些配置,将使基本任务变量保持不变。关节配置的变异性被分解为与这些集平行的分量和位于其补集中的分量。相对于从枪指向目标的向量,枪的枪管方向是最成功地显示关节变异性两个分量之间差异的任务变量。这个变量决定了任务的成功。在整个运动过程中,不仅在枪指向目标时,与不影响该变量的波动相比,影响该变量的关节配置波动大大减少。因此,应用于相对枪方向的UCM原则捕捉了随着运动随时间演变,运动控制系统在关节配置空间不同部分的结构。这表明了一种特定的控制策略,其中与任务成功无关的关节配置变化被有选择地从控制中释放。相比之下,代表枪或手臂质心不变空间位置的约束在运动轨迹的早期和中期构建了关节配置变异性,但在射击时没有。这种特定的控制策略并非微不足道,因为通过同等地控制关节空间中与相关方向无关的方向也可以成功击中目标。结果表明,该方法可以成功地用于确定关节空间中协调的结构,该结构是给定任务基本变量控制的基础。