论文标题
关于输入触发对Jansen-Rit振荡器网络动力学的影响
On the influence of input triggering on the dynamics of the Jansen-Rit oscillators network
论文作者
论文摘要
我们研究了具有相同Jansen-Rit质量的耦合神经振荡器网络的动力学特性。节点之间的连接遵循常规的瓦特 - 斯特罗加茨拓扑结构。每个节点根据邻居的输出信号接收确定性的外部输入加上内部输入。本文旨在更改这两个输入并分析生成的结果。首先,我们尝试使用平均场近似值,即所有节点的相同输入分析模型。然后,这个假设放松了。讨论了这两个状态的更详细的分析。我们使用Pearson相关系数来测量同步量。由于平均场方法,我们发现尽管行为发生了变化,但没有相变。令人惊讶的是,第一个(不连续)和第二个(连续)相变。通过放松平均场假设。我们还展示了输入的变化如何导致病理振荡与癫痫中观察到的变化相似。结果表明,结合的Jansen-Rit群众出现了各种受各种外部和内部输入影响的行为。此外,我们的发现表明,可以通过在Jansen-Rit神经质量模型网络中更改这些输入来生成三角波,这在单个Jansen-Rit神经质量模型分析中尚未观察到。总体而言,在本文中,全面研究了广泛的行为模式,包括癫痫,健康行为以及同步和异步之间的过渡。此外,这项工作强调了外部和内部输入在研究神经质量模型的相变和同步时的推定贡献。
We investigate the dynamical properties of a network of coupled neural oscillators with identical Jansen-Rit masses. The connections between nodes follow the regular Watts-Strogatz topology. Each node receives deterministic external input plus internal input based on the output signal from the neighbors. This paper aims to change these two inputs and analyze the generated results. First, we attempt to analyze the model using the mean-field approximation, i.e., identical inputs for all nodes. Then, this assumption is relaxed. A more detailed analysis of these two states is discussed. We use the Pearson correlation coefficient to measure the amount of synchronization. As a result of the mean-field approach, we find that despite observed changes in behavior, there is no phase transition. Surprisingly, both the first (discontinuous) and second (continuous) phase transition occurs by relaxing the mean-field assumption. We also demonstrate how changes in input can result in pathological oscillations similar to those observed in epilepsy. Results show that coupled Jansen-Rit masses emerge a variety of behaviors influenced by various external and internal inputs. Moreover, our findings indicate that delta waves can be generated by altering these inputs in a network of Jansen-Rit neural mass models, which has not been previously observed in a single Jansen-Rit neural mass model analysis. \\ Overall, a wide range of behavioral patterns, including epilepsy, healthy behavior, and the transition between synchrony, and asynchrony are examined comprehensively in this paper. Moreover, this work highlights the putative contribution of external and internal inputs in studying the phase transition and synchronization of neural mass models.