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不同的画圆任务涉及不同的时间机制。

Distinct timing mechanisms are implicated in distinct circle drawing tasks.

机构信息

Theoretical Neuroscience Group, UMR 6152 Institut des Sciences du Mouvement, CNRS & Université de la Méditerranée, 163 av. de Luminy, CP910, F-13288 Marseille, France.

出版信息

Neurosci Lett. 2010 Mar 12;472(1):24-8. doi: 10.1016/j.neulet.2010.01.047. Epub 2010 Feb 1.

Abstract

That individual timing variability is correlated across some tasks but not others has instigated the notion of distinct timing processes, referred to as 'event' timing and 'emergent' timing for tasks with and without salient events, respectively. The delineation of the event-emergent framework owes much to the circle drawing task as it can be performed with or without such events, all other factors being equal. We investigated continuous and intermittent circle drawing from a principled perspective allowing for the classification of timing mechanisms based on mathematical theorems. We propose a one-dimensional dynamical model to portray the essential dynamics of circle drawing that exhibits either fixed point or oscillator dynamics, each associated with distinct timing mechanisms. Eight participants drew circles under three different instruction conditions (no specific instructions, to draw as a fast or as smoothly as possible) at seven frequencies ranging from 0.5Hz to 3.5Hz. We computed the angle between the circle drawing's horizontal and vertical component and reconstructed the corresponding vector fields prescribing the temporal evolution. Fixed point dynamics were present only in the 'fast' condition at low movement frequencies (i.e., in intermittent circle drawing representative of event timing). All other conditions were realized via oscillator dynamics representative of emergent timing. The transition between both dynamical mechanisms involved a saddle-node on invariant circle bifurcation, which was accompanied by increased trajectory variability, which is a key signature of phase transitions. These findings demonstrate the involvement of distinct timing mechanisms in different circle drawing tasks.

摘要

个体时间变化在某些任务中是相关的,但在其他任务中则不然,这引发了存在不同时间处理过程的概念,分别称为“事件”时间和“涌现”时间,用于有显著事件和无显著事件的任务。事件涌现框架的划分在很大程度上归功于圆绘制任务,因为在其他因素相同的情况下,它可以在有或没有这些事件的情况下进行。我们从一个原则性的角度研究了连续和间歇的圆绘制,允许根据数学定理对计时机制进行分类。我们提出了一个一维动力学模型来描述圆绘制的基本动力学,它表现出固定点或振荡器动力学,每种动力学都与不同的计时机制相关。八名参与者在三种不同的指令条件下(无特定指令、尽可能快速或平滑地绘制)以七个频率(从 0.5Hz 到 3.5Hz)绘制圆。我们计算了圆绘制的水平和垂直分量之间的角度,并重建了规定时间演变的相应向量场。只有在低运动频率的“快速”条件下才存在固定点动力学(即,代表事件时间的间歇圆绘制)。所有其他条件都是通过代表涌现时间的振荡器动力学实现的。这两种动力学机制之间的转换涉及不变圆分岔的鞍结,这伴随着轨迹可变性的增加,这是相变的关键特征。这些发现表明,不同的计时机制参与了不同的圆绘制任务。

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