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arXiv 1302.3869q-bio.NCcond-mat.dis-nnphysics.data-an
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Ising模型在脑网络上的信息传递

Information transfer of an Ising model on a brain network

Daniele Marinazzo, Mario Pellicoro, Guorong Wu, Leonardo Angelini, Jesus M Cortes, Sebastiano Stramaglia

摘要:

我们实现了伊辛模型的结构连接矩阵描述的大脑在一个粗略的规模。将模型温度调整到临界值,即在磁化率峰处,我们发现自旋变量之间的总信息传递量最大。在这一点上,一些节点可以重新分配的信息量达到了极限,网络动态表现出边际收益递减规律的特征,这是与饱和生产水平相关的基本原则。我们的研究结果扩展了最近对连接体结构的动态振荡器模型的分析,考虑到滞后和方向的影响,只关注更容易成为信息瓶颈的节点。在每个节点处的传出和传入信息之间的比率与传入链路的数量有关。

英文摘要:

We implement the Ising model on a structural connectivity matrix describing the brain at a coarse scale. Tuning the model temperature to its critical value, i.e. at the susceptibility peak, we find a maximal amount of total information transfer between the spin variables. At this point the amount of information that can be redistributed by some nodes reaches a limit and the net dynamics exhibits signature of the law of diminishing marginal returns, a fundamental principle connected to saturated levels of production. Our results extend the recent analysis of dynamical oscillators models on the connectome structure, taking into account lagged and directional influences, focusing only on the nodes that are more prone to became bottlenecks of information. The ratio between the outgoing and the incoming information at each node is related to the number of incoming links.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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