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. 2011 Jul 8;5:28. doi: 10.3389/fncom.2011.00028

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Copyright © 2011 Zhao, Beverlin, Netoff and Nykamp.

This is an open-access article subject to a non-exclusive license between the authors and Frontiers Media SA, which permits use, distribution and reproduction in other forums, provided the original authors and source are credited and other Frontiers conditions are complied with.

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Dependence of synchrony on first order connectivity statistics and higher order connectivity statistics. All simulations use the PRC model and coupling strengths S = 6 of the middle panel of Figure 9B. Note that changing p or N changes the effective coupling S/(pN) in the PRC model (17). Pseudocolor scale indicates synchrony as in Figure 9. (A) SONETs with different first order statistics. Left: sparse networks with N = 3000 neurons and connection probability p = 0.01. Right: large networks with N = 10000 neurons and connection probability p = 0.03. (B) Scale-free networks with N = 3000 neurons and connection probability p = 0.01. Rising exponents of degree distribution (7) γ_in/out were set to 1 (left) and 10 (right). For left panel, the minimum attainable value of α_conv and α_div was 0.1. Maximum degrees: b_in = b_out = 300. (C) Incoming degree distributions for networks with p = 0.01 and α_conv = 0.7. The degree distributions are smoothed versions of the distribution of expected degree (7) as actual connections are generated randomly.