How Structure Determines Correlations in Neuronal Networks
Figure 8
Higher-order contributions to correlations are increased by connected excitatory hubs.
A: Construction. Excitatory neurons are divided into hubs (large out-degree) and non-hubs (small out-degree). The fraction of excitatory outputs from hubs to hubs is varied. B: Average correlations increase with hub-interconnectivity
(average across 10 networks, error bars from standard deviation). Densely connected hubs (
, dashed vertical line) lead to large average correlations. C: Contribution to average correlations of different motifs for random network and networks with broad out-degree distribution and
(disassortative network) and
(assortative network). Average across 20 networks, error bars from standard deviation. Although contributions are different from random networks, in networks with broad degree distribution low order contributions (indirect and common input) are independent of hub interconnectivity, in contrast to certain higher-order contributions.