We investigate the influence of network structure on the dynamics of neuronal networks, with a focus on the emergence of synchronous oscillations. Network structure is specified using the framework of second order networks, a network model that captures second order statistics (correlations) among the connections between neurons. We demonstrate that the frequency of a chain motif in the network plays a crucial role in influencing network dynamics, not only modulating the emergence of synchrony but also possibly increasing the range of possible network behaviors.
The four second order edge motifs of reciprocal, convergent, divergent, and causal connections. The frequency of these motifs determine the second order statistics, or correlations, among the network connections.
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Nykamp, D.Q. The influence of network structure on neuronal network dynamics. BMC Neurosci 13 (Suppl 1), P79 (2012). https://doi.org/10.1186/1471-2202-13-S1-P79
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DOI: https://doi.org/10.1186/1471-2202-13-S1-P79