Vasilakos K, Beuter A
Department of Mathematics, McGill University, Montréal, Quebec, Canada.
J Theor Biol. 1993 Dec 7;165(3):389-407. doi: 10.1006/jtbi.1993.1196.
Experimentally it is known that some patients with Parkinson's disease are not able to use visual information in a normal manner in a simple motor tracking task involving a time delay. We considered the possibility that pathological tremor present in these individuals acts as noise and prevents them from performing normally. To test this hypothesis the effects of adding coloured noise was investigated experimentally and theoretically. Ten adult subjects with no known neurological disease were asked to track their own delayed finger position with different levels of coloured noise and delays introduced. Also, a model for the task utilizing first-order delay-differential equations was constructed and coloured noise was injected into simulations. The theoretical implications of the inclusion of a stochastic component are considered, and the prospect of the dynamics being driven by noise is discussed. Experimental and numerical results indicate that augmented noise tends to corrupt and curtail the oscillations normally induced by time delays. This augmented noise may explain why some patients with Parkinson's disease are not able to utilize visual information in a normal manner.
实验表明,一些帕金森病患者在涉及时间延迟的简单运动跟踪任务中无法正常使用视觉信息。我们考虑了这些个体中存在的病理性震颤充当噪声并阻止他们正常执行任务的可能性。为了验证这一假设,我们从实验和理论两方面研究了添加有色噪声的影响。我们要求十名无已知神经疾病的成年受试者在引入不同水平的有色噪声和延迟的情况下跟踪自己延迟的手指位置。此外,我们构建了一个利用一阶延迟微分方程的任务模型,并将有色噪声注入模拟中。我们考虑了包含随机成分的理论意义,并讨论了动力学由噪声驱动的可能性。实验和数值结果表明,增强的噪声往往会破坏和缩短通常由时间延迟引起的振荡。这种增强的噪声可能解释了为什么一些帕金森病患者无法正常利用视觉信息。