Herzog W, Binding P
Faculty of Physical Education, University of Calgary, Alberta, Canada.
Math Biosci. 1993 Nov;118(1):83-95. doi: 10.1016/0025-5564(93)90034-8.
It has been stated in the literature that static, nonlinear optimization approaches cannot predict coactivation of pairs of antagonistic muscles; however, numerical solutions of such approaches have predicted coactivation of pairs of one-joint and multijoint antagonists. Analytical support for either finding is not available in the literature for systems containing more than one degree of freedom. The purpose of this study was to investigate analytically the possibility of cocontraction of pairs of antagonistic muscles using a static nonlinear optimization approach for a multidegree-of-freedom, two-dimensional system. Analytical solutions were found using the Karush-Kuhn-Tucker conditions, which were necessary and sufficient for optimality in this problem. The results show that cocontraction of pairs of one-joint antagonistic muscles is not possible, whereas cocontraction of pairs of multijoint antagonists is. These findings suggest that cocontraction of pairs of antagonistic muscles may be an "efficient" way to accomplish many movement tasks.
文献中指出，静态非线性优化方法无法预测拮抗肌对的共同激活；然而，此类方法的数值解却预测了单关节和多关节拮抗肌对的共同激活。对于包含多个自由度的系统，文献中没有关于这两种发现的分析支持。本研究的目的是使用静态非线性优化方法，对一个多自由度二维系统进行分析，以研究拮抗肌对共同收缩的可能性。利用Karush-Kuhn-Tucker条件找到了分析解，该条件对于此问题的最优性是必要且充分的。结果表明，单关节拮抗肌对不可能共同收缩，而多关节拮抗肌对则可以。这些发现表明，拮抗肌对的共同收缩可能是完成许多运动任务的一种“有效”方式。
