论文标题
大脑连通性层次网络中的异常LIFSHITZ维度
Anomalous Lifshitz dimension in hierarchical networks of brain connectivity
论文作者
论文摘要
光谱维度是欧几里得维度的概括，并量化网络传输和扩散信息的倾向。我们表明，在大脑的层次模块化网络模型中，动力学异常缓慢，光谱维度未定义。受Anderson在量子系统中的定位的启发，我们将神经活动的定位（嵌入脑功能性至关重要）与网络频谱以及异常的“ Lifshitz维度”相关联。在更广泛的背景下，我们的结果有助于阐明生物信息处理复杂网络中的结构与功能之间的关系。
The spectral dimension is a generalization of the Euclidean dimension and quantifies the propensity of a network to transmit and diffuse information. We show that, in hierarchical-modular network models of the brain, dynamics are anomalously slow and the spectral dimension is not defined. Inspired by Anderson localization in quantum systems, we relate the localization of neural activity - essential to embed brain functionality - to the network spectrum and to the existence of an anomalous "Lifshitz dimension". In a broader context, our results help shedding light on the relationship between structure and function in biological information-processing complex networks.
