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首页> 外文期刊>Journal of Computational Neuroscience >Nonlinear time series analysis of jerk congenital nystagmus
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Nonlinear time series analysis of jerk congenital nystagmus

机译：急诊先天性眼球震颤的非线性时间序列分析

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Nonlinear dynamics provides a complementary framework to control theory for the quantitative analysis of the oculomotor control system. This paper presents a number of findings relating to the aetiology and mechanics of the pathological ocular oscillation jerk congenital nystagmus (jerk CN). A range of time series analysis techniques were applied to recorded jerk CN waveforms, and also to simulated jerk waveforms produced by an established model in which the oscillations are a consequence of an unstable neural integrator. The results of the analysis were then interpreted within the framework of a generalised model of the unforced oculomotor system. This work suggests that for jerk oscillations, the origin of the instability lies in one of the five oculomotor subsystems, rather than in the final common pathway (the neural integrator and muscle plant). Additionally, experimental estimates of the linearised foveation dynamics imply that a refixat-ing fast phase induced by a near-homoclinic trajectory will result in periodic oscillations. Local dimension calculations show that the dimension of the experimental jerk CN data increases during the fast phase, indicating that the oscillations are not periodic, and hence that the refixation mechanism is of greater complexity than a homoclinic reinjection. The dimension increase is hypothesised to result either from a signal-dependent noise process in the saccadic system, or the activation of additional oculomotor components at the beginning of the fast phase. The modification of a recent saccadic system model to incorporate biologically realistic signal-dependent noise is suggested, in order to test the first of these hypotheses.
机译：非线性动力学为动眼控制系统的定量分析提供了控制理论的补充框架。本文提出了许多与病理性眼动性先天性眼震（先天性眼球震颤）的病因和力学相关的发现。一系列时间序列分析技术被应用于记录的加加速度CN波形，并且还应用于由已建立的模型产生的模拟的加加速度波形，在该模型中，振荡是不稳定的神经积分器的结果。然后，在无力动眼动系统的通用模型框架内解释分析结果。这项工作表明，对于急动振荡，不稳定性的根源在于五个动眼运动子系统之一，而不是最终的共同途径（神经整合剂和肌肉植物）。另外，线性化的中心动动力学的实验估计表明，由近等轨迹引起的快速固定相将导致周期性振荡。局部维数计算表明，在快速阶段，实验混震CN数据的维数增加，这表明振荡不是周期性的，因此，固定机制比同斜度再注入具有更大的复杂性。假设尺寸增加是由声频系统中依赖于信号的噪声过程引起的，或者是由于在快速阶段开始时激活了其他动眼神经组件而导致的。为了验证这些假设中的第一个，建议对最新的排球系统模型进行修改，以纳入生物学上现实的信号相关噪声。

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