论文标题

归一化连接组通过其第二大特征值随着年龄的年龄增长而提高了同步性。

Normalized Connectomes Show Increased Synchronizability with Age Through Their Second Largest Eigenvalue

论文作者

Nicola, Wilten, Campbell, Sue Ann

论文摘要

在正常和病理状况(例如癫痫)下,广泛观察到不同大脑区域的同步。但是,这些大脑区域的动力学,它们之间的连通性与同步能力之间的关系仍然是一个悬而未决的问题。我们研究了具有稳态可塑性的Wilson/神经场方程网络中区域间同步的问题,每种都可以充当孤立的大脑区域的模型。我们仅使用一个约束考虑任意连接曲线:连接矩阵的行均相同归一化。我们发现,这些系统通常与从单个自耦合神经区域获得的解决方案同步。我们通过直接修改主稳定性函数(MSF)方法来分析该溶液的稳定性,并发现同步解决方案在第二大正征值足够大时会失去连通性矩阵的稳定性,对于全局耦合参数的值不大。该结果在数值上证实了环系统和晶格,并且在每个节点的稳态设定点中也对少量异质性也很强。最后,我们对从人类Connectome Project从196名受试者(4-85岁)的196名受试者获得的连接组进行了测试。我们发现,第二大特征值倾向于随着年龄的增长而降低,这表明同步性的提高可能与老年癫痫患病率的增加有关。

The synchronization of different brain regions is widely observed under both normal and pathological conditions such as epilepsy. However, the relationship between the dynamics of these brain regions, the connectivity between them, and the ability to synchronize remains an open question. We investigated the problem of inter-region synchronization in networks of Wilson-Cowan/Neural field equations with homeostatic plasticity, each of which acts as a model for an isolated brain region. We considered arbitrary connection profiles with only one constraint: the rows of the connection matrices are all identically normalized. We found that these systems often synchronize to the solution obtained from a single, self-coupled neural region. We analyze the stability of this solution through a straightforward modification of the Master Stability Function (MSF) approach and found that synchronized solutions lose stability for connectivity matrices when the second largest positive eigenvalue is sufficiently large, for values of the global coupling parameter that are not too large. This result was numerically confirmed for ring systems and lattices and was also robust to small amounts of heterogeneity in the homeostatic set points in each node. Finally, we tested this result on connectomes obtained from 196 subjects over a broad age range (4-85 years) from the Human Connectome Project. We found that the second largest eigenvalue tended to decrease with age, indicating an increase in synchronizability that may be related to the increased prevalence of epilepsy with old age.

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