IEEE Trans Neural Syst Rehabil Eng. 2018 Jan;26(1):205-215. doi: 10.1109/TNSRE.2017.2751650. Epub 2017 Sep 13.
Joint manipulation elicits a response from the sensors in the periphery which, via the spinal cord, arrives in the cortex. The average evoked cortical response recorded using electroencephalography was shown to be highly nonlinear; a linear model can only explain 10% of the variance of the evoked response, and over 80% of the response is generated by nonlinear behavior. The goal of this paper is to obtain a nonparametric nonlinear dynamic model, which can consistently explain the recorded cortical response requiring little a priori assumptions about model structure. Wrist joint manipulation was applied in ten healthy participants during which their cortical activity was recorded and modeled using a truncated Volterra series. The obtained models could explain 46% of the variance of the evoked cortical response, thereby demonstrating the relevance of nonlinear modeling. The high similarity of the obtained models across participants indicates that the models reveal common characteristics of the underlying system. The models show predominantly high-pass behavior, which suggests that velocity-related information originating from the muscle spindles governs the cortical response. In conclusion, the nonlinear modeling approach using a truncated Volterra series with regularization, provides a quantitative way of investigating the sensorimotor system, offering insight into the underlying physiology.
关节操作会在外周的传感器中引起反应,这些反应通过脊髓到达大脑皮层。使用脑电图记录到的平均诱发皮层反应表现出高度的非线性;线性模型只能解释诱发反应方差的 10%,超过 80%的反应是由非线性行为产生的。本文的目的是获得一个无需对模型结构进行先验假设的非参数非线性动态模型,以一致地解释记录的皮层反应。在十名健康参与者中进行了腕关节操作,在此期间记录了他们的皮层活动,并使用截断的 Volterra 级数对其进行建模。所得到的模型可以解释诱发皮层反应的 46%的方差,从而证明了非线性建模的相关性。在参与者之间获得的模型高度相似表明,这些模型揭示了基础系统的共同特征。这些模型主要表现出高通行为,这表明源自肌梭的与速度相关的信息控制着皮层反应。总之,使用具有正则化的截断 Volterra 级数的非线性建模方法提供了一种定量研究感觉运动系统的方法,为潜在的生理学提供了深入的了解。