ArticleFrontiers in computational neuroscience2012
Building blocks of self-sustained activity in a simple deterministic model of excitable neural networks.
Article in Frontiers in computational neuroscience, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 18 papers.
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Who cites it
18 citing papers in PubMed.
- Article
- Categories of important edges in dynamics on graphs.Royal Society open science · 2025Article
- The effect of deep brain stimulation on cortico-subcortical networks in Parkinson's disease patients with freezing of gait: Exhaustive exploration of a basic model.Network neuroscience (Cambridge, Mass.) · 2024Article
- Two classes of functional connectivity in dynamical processes in networks.Journal of the Royal Society, Interface · 2021Article
- Link-usage asymmetry and collective patterns emerging from rich-club organization of complex networks.Proceedings of the National Academy of Sciences of the United States of America · 2020Article
- Relating network connectivity to dynamics: opportunities and challenges for theoretical neuroscience.Current opinion in neurobiology · 2019Review
- Topological reinforcement as a principle of modularity emergence in brain networks.Network neuroscience (Cambridge, Mass.) · 2019Article
- Toward a theory of coactivation patterns in excitable neural networks.PLoS computational biology · 2018Article
- Anticorrelations between Active Brain Regions: An Agent-Based Model Simulation Study.Neural plasticity · 2018Article
- Connectivity and complex systems: learning from a multi-disciplinary perspective.Applied network science · 2018Review
- Spatiotemporal dynamics in excitable homogeneous random networks composed of periodically self-sustained oscillation.Scientific reports · 2017Article
- Topological determinants of self-sustained activity in a simple model of excitable dynamics on graphs.Scientific reports · 2017Article
- Is the brain really a small-world network?Brain structure & function · 2016Article
- Self-organization of network dynamics into local quantized states.Scientific reports · 2016Article
- A closer look at the apparent correlation of structural and functional connectivity in excitable neural networks.Scientific reports · 2015Article
- Perspective: network-guided pattern formation of neural dynamics.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2014Review
- Sustained oscillations, irregular firing, and chaotic dynamics in hierarchical modular networks with mixtures of electrophysiological cell types.Frontiers in computational neuroscience · 2014Article
- Structure-dynamics relationships in bursting neuronal networks revealed using a prediction framework.PloS one · 2013Article
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4 authors.
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Abstract
Understanding the interplay of topology and dynamics of excitable neural networks is one of the major challenges in computational neuroscience. Here we employ a simple deterministic excitable model to explore how network-wide activation patterns are shaped by network architecture. Our observables are co-activation patterns, together with the average activity of the network and the periodicities in the excitation density. Our main results are: (1) the dependence of the correlation between the adjacency matrix and the instantaneous (zero time delay) co-activation matrix on global network features (clustering, modularity, scale-free degree distribution), (2) a correlation between the average activity and the amount of small cycles in the graph, and (3) a microscopic understanding of the contributions by 3-node and 4-node cycles to sustained activity.
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