Fig. 4: Emergent network activity in a neural circuit model.
From: Lévy walk dynamics explain gamma burst patterns in primate cerebral cortex
a Mean firing rate of the population of excitatory neurons in the model shows a phase transition around an I-E ratio of 3.4. The red and blue lines are two power functions fitted to the data points marked by red squares and blue circles, respectively. The black dot denotes the crossing point of the two power-law functions. The green line shows the change of the searching efficiency with different I-E ratios. Error bars show SEM. Three distinct states emerging from the circuit are marked by different colors; State III corresponds to the asynchronous state, State I exhibits localized propagating wave patterns and State II is the transition region. b–d Snapshots of neural spiking patterns emerging from the circuit model with different I-E ratio values. Blue dots denote spikes emitted by excitatory neurons during a 5 ms period. Black circles in (b) and (c) show one standard deviation of the 2D normal fitted firing rate. Red curves show trajectory of the pattern in the previous 100 ms. For State I in (b), the spiking patterns propagate smoothly. For State II in (c), the pattern appears intermittently and exhibits variable propagation trajectories. For State III (the asynchronous state) in (d), no patterns are formed.
