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Rich-club connectivity, diverse population coupling, and dynamical activity patterns emerging from local cortical circuits
Fig 3
Transition of the circuit activity states induced by changing the I-E ratio ζ.
(A) Mean firing rate of the excitatory population shows a phase transition around ζ = ζc = 3.375. The red solid line and blue dashed line are the two power functions fitted to the data points marked by red squares and blue circles, in the form of 
and 
, respectively. The fitted coefficients are a1 = 25.47 ± 5.17 (0.95% confidence bounds), b1 = −3.535 ± 0.392, c1 = −23.72 ± 6.10, a2 = 2.199 ± 0.045, and b2 = −2.455 ± 0.116. The black triangles are the data points without fitting. The error bars show one SEM. Inset: the same plot but with the y-axis on a linear scale. (B-E) Snapshots of spiking patterns emerging from our local cortical circuit model with different I-E ratio ζ values. Black dots denote that one spike has been emitted from the excitatory neuron during a 5 ms period, and red dots denote two spikes. The cyan circles in (C) and (E) show one standard deviation of the fitted Gaussian firing rate profile and the blue curves show the trajectory of the centers of the pattern in the previous 40 ms. For the state shown in (E), the pattern appears intermittently and exhibits jumping behavior with a variable propagation trajectory.
doi: https://doi.org/10.1371/journal.pcbi.1006902.g003