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Topological reinforcement as a principle of modularity emergence in brain networks

机译:拓扑强化是脑网络中模块化出现的原理

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摘要

Modularity is a ubiquitous topological feature of structural brain networks at various scales. Although a variety of potential mechanisms have been proposed, the fundamental principles by which modularity emerges in neural networks remain elusive. We tackle this question with a plasticity model of neural networks derived from a purely topological perspective. Our topological reinforcement model acts enhancing the topological overlap between nodes, that is, iteratively allowing connections between non-neighbor nodes with high neighborhood similarity. This rule reliably evolves synthetic random networks toward a modular architecture. Such final modular structure reflects initial “proto-modules,” thus allowing to predict the modules of the evolved graph. Subsequently, we show that this topological selection principle might be biologically implemented as a Hebbian rule. Concretely, we explore a simple model of excitable dynamics, where the plasticity rule acts based on the functional connectivity (co-activations) between nodes. Results produced by the activity-based model are consistent with the ones from the purely topological rule in terms of the final network configuration and modules composition. Our findings suggest that the selective reinforcement of topological overlap may be a fundamental mechanism contributing to modularity emergence in brain networks.
机译:模块化是各种规模的结构脑网络普遍存在的拓扑特征。尽管已经提出了各种潜在的机制,但是在神经网络中出现模块化的基本原理仍然难以捉摸。我们使用从纯粹拓扑角度得出的神经网络的可塑性模型解决了这个问题。我们的拓扑增强模型的作用是增强节点之间的拓扑重叠,也就是说,迭代地允许具有高邻域相似性的非邻居节点之间的连接。该规则将合成随机网络可靠地发展为模块化架构。这种最终的模块化结构反映了初始的“原型模块”,从而允许预测演化图的模块。随后,我们证明了这种拓扑选择原则可能在生物学上是作为Hebbian规则实现的。具体来说,我们探索一个简单的兴奋动力学模型,其中可塑性规则基于节点之间的功能连接性(共同激活)起作用。在最终网络配置和模块组成方面,基于活动的模型产生的结果与纯拓扑规则的结果一致。我们的研究结果表明,拓扑重叠的选择性增强可能是导致脑网络模块化出现的基本机制。

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