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相簇和共存态的出现揭示了结构-功能关系。

Emergence of phase clusters and coexisting states reveals the structure-function relationship.

作者信息

Yu Dong, Wu Yong, Ding Qianming, Li Tianyu, Jia Ya

机构信息

Department of Physics and Institute of Biophysics, <a href="https://ror.org/03x1jna21">Central China Normal University</a>, Wuhan 430079, China.

出版信息

Phys Rev E. 2024 May;109(5-1):054312. doi: 10.1103/PhysRevE.109.054312.

DOI:10.1103/PhysRevE.109.054312
PMID:38907474
Abstract

The Brain Connectome Project has made significant strides in uncovering the structural connections within the brain on various levels. This has led to the question of how brain structure and function are related. Our research explores this relationship in an adaptive neural network in which synaptic conductance between neurons follows spike-time synaptic plasticity rules. By adjusting the plasticity boundary, the network exhibits diverse collective behaviors, including phase synchronization, phase locking, hierarchical synchronization (phase clusters), and coexisting states. Using graph theory, we found that hierarchical synchronization is related to the community structure, while coexisting states are related to the hierarchical self-organizing and core-periphery structure. The network evolves into several tightly connected modules, with sparsely intermodule connections resulting in the formation of phase clusters. In addition, the hierarchical self-organizing structure facilitates the emergence of coexisting states. The coexistence state promotes the evolution of the core-periphery structure. Our results point towards the equivalence between function and structure, with function emerging from structure, and structure being influenced by function in a complex dynamic process.

摘要

大脑连接组计划在揭示大脑不同层面的结构连接方面取得了重大进展。这引发了大脑结构与功能如何相关的问题。我们的研究在一个自适应神经网络中探索这种关系,其中神经元之间的突触电导遵循脉冲时间突触可塑性规则。通过调整可塑性边界,该网络展现出多样的集体行为,包括相位同步、锁相、分层同步(相位簇)和共存状态。运用图论,我们发现分层同步与群落结构相关,而共存状态与分层自组织和核心 - 外围结构相关。该网络演变成几个紧密连接的模块,模块间稀疏的连接导致相位簇的形成。此外,分层自组织结构促进了共存状态的出现。共存状态推动了核心 - 外围结构的演变。我们的结果表明功能与结构之间的等效性,功能源于结构,且结构在一个复杂的动态过程中受到功能的影响。

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