Modeling neuronal avalanches and long-range temporal correlations at the emergence of collective oscillations: Continuously varying exponents mimic M/EEG results
Fig 7
Continuously varying exponents.
(A) DFA exponent (α) and order parameter (φ) versus rE, with rI = 0.60 fixed. The shaded area represents parameter space where the data was better fitted by a exponentially truncated power-law than exponential or lognormal distributions, according to the log-likelihood ratio test (see Methods). Inset: zoom around the shaded area. (B) and (C): average exponents for avalanche size and duration, respectively. Avalanche size versus avalanche duration for (D) 5 different runs and (E) averages over the runs. The black triangle and diamond represent the theoretical exponents for 2D-DP and MF-DP universality classes, respectively, whereas the black square is the result obtained by Coleman et al [44] for a variant of the globally coupled Kuramoto model. The same color code applies to (B)-(E). In all figures, error bars represent the standard deviation over 5 runs. Avalanches were defined with Γ = 0.5.