Network structure of cascading neural systems predicts stimulus propagation and recovery
arXiv:1812.09361
Abstract
Many neural systems display cascading behavior characterized by uninterrupted sequences of neuronal firing. This gap precludes an understanding of how variations in network structure manifest in neural dynamics and either support or impinge upon information processing. Here, we develop a theoretical understanding of how network structure supports information processing through network dynamics, and we validate our theory with empirical data. Using a generalized spiking model and mathematical tools from linear systems theory, network control theory, and information theory, we show how network structure can be designed to temporally extend the propagation and recovery of certain stimulus patterns. Moreover, we observe cycles as structural and dynamic motifs that are prevalent in such networks. Broadly, our results demonstrate how cascading neural networks could contribute to cognitive faculties that require lasting activation of neuronal patterns, such as working memory or attention.
References in corpus (7)
- Controllability of Brain Networks
- Optimal Dynamical Range of Excitable Networks at Criticality
- Power-law statistics and universal scaling in the absence of criticality
- Predicting criticality and dynamic range in complex networks: effects of topology
- Topological Principles of Control in Dynamical Network Systems
- The weighted random graph model
- Benchmarking measures of network controllability on canonical graph models