Nonlinear Dynamic Modeling of Isometric Force Production in Primate Eye Muscle
Nonlinear Dynamic Modeling of Isometric Force Production in Primate Eye Muscle
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DOI：
10.1109/tbme.2010.2044574
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发表时间：
2010-07-01
影响因子：
4.6
通讯作者：
Dean, Paul
中科院分区：
文献类型：
--
作者：
Anderson, Sean R.;Lepora, Nathan F.;Dean, Paul
虽然动眼神经系统通常被建模为一个线性系统，但最近对眼运动神经元行为的研究已经引起了人们对显著非线性的存在的注意。其中一个来源是肌肉力量的发展，以应对运动神经元放电率的变化。在这里，我们试图通过比较四种不同的建模方法来模拟灵长类外直肌对电刺激的等长力的产生[A.Fuchs和E.Luschei，《猿猴眼外肌等长张力的发展》，J.Physiol，第219卷，第1期，第155-166页，1971]。这些数据可以通过基于物理的力产生模型的参数估计来很好地拟合[J.Bobet，E.R.Gossen和R.B.Stein，“在人类刺激的等长踝关节背屈过程中的力产生模型的比较”，IEEE Transans。神经系统。戒毒所。《工程》，第13卷，第4期，第444-451页，2005年12月；E.Mavritsaki，N.Lepora，J.Porrill，C.H.Yeo和P.Dean，《在瞬膜控制的详细模型中由招募策略确定的响应线性》，Biol。Cybern.，Vol.96，No.1，pp.39-57,2007]，或通过应用一种用于非线性系统辨识的通用方法(具有外部输入的非线性自回归(NARX)模型)。这些结果表明，非线性系统辨识可能是一种有用的方法来对肌肉功能的更一般方面进行建模，并为了解动态眼动控制提供眼外肌运动单元的分布式模型的基础。以前的线性模型的成功表明，运动单元招募在克服动眼神经工厂中的非线性方面具有潜在的重要性。
Although the oculomotor plant is usually modeled as a linear system, recent studies of ocular motoneuron behavior have drawn attention to the presence of significant nonlinearities. One source of these is the development of muscle force in response to changes in motoneuron firing rate. Here, we attempt to simulate the production of isometric force by the primate lateral rectus muscle in response to electrical stimulation [A. Fuchs and E. Luschei, "Development of isometric tension in simian extraocular muscle," J. Physiol., vol. 219, no. 1, pp. 155-166, 1971] by comparing four different modeling approaches. The data could be well fitted either by parameter estimation for physically based models of force production [J. Bobet, E. R. Gossen, and R. B. Stein, " A comparison of models of force production during stimulated isometric ankle dorsiflexion in humans," IEEE Trans. Neural Syst. Rehabil. Eng., vol. 13, no. 4, pp. 444-451, Dec. 2005; E. Mavritsaki, N. Lepora, J. Porrill, C. H. Yeo, and P. Dean, " Response linearity determined by recruitment strategy in detailed model of nictitating membrane control," Biol. Cybern., vol. 96, no. 1, pp. 39-57, 2007], or by the application of a generic method for nonlinear system identification (the nonlinear autoregressive with exogenous input (NARX) model). These results suggest that nonlinear system identification may be a useful method for modeling more general aspects of muscle function, and provide a basis for distributed models of motor units in extraocular muscle for understanding dynamic oculomotor control. The success of previous linear models points to the potential importance of motor unit recruitment in overcoming nonlinearities in the oculomotor plant.