< Back to Article
Phase-locking patterns underlying effective communication in exact firing rate models of neural networks
Fig 8
Selective communication and switching between attended stimulus.
(A) Time evolution of the excitatory and inhibitory firing rate re (red), ri (blue), respectively for system (1)-(2) receiving two identical inputs of von Mises type in antiphase (κ1,2 = 2 and T = T1,2 = 0.84T*, A1,2 = 0.1). We establish that the closest input volley to the E-volley corresponds to the primary input (black solid curve), and the other one to the distractor (black dashed curve). (B, C) Factors Δα, Δσ and 
describing changes in the E-cell evoked response (B) when the amplitude of the primary A1 is varied from 0.1 to 0 while keeping the amplitude of the distractor fixed at A2 = 0.1 and (C) viceversa. We have computed the mean and standard deviation of these factors over 10 cycles of the primary input. (D) Phase Response Curve (solid blue) obtained by applying square-wave perturbations of amplitude 1.5 and duration 2 ms at different phases of the periodic solution in panel A. The plot also shows if the (entrained) oscillator remains in the same periodic solution before and after the pulse administration (black solid line) or if the oscillator switches to a different solution where the roles of the primary and distractor are exchanged (dashed black line). (E, F) Simulations of the full spiking QIF model showing the response of the network to a square-wave current delivered at two different phases of the cycle: (E) t/T = 0.3, for which no switching between attended stimuli occurs, and (F) t/T = 0.5, for which switching occurs. Each panel shows (from top to bottom), for a time interval of 150 ms, the two identical von Mises inputs in antiphase (solid and dashed black) with the mean firing rates of the E-cells (red) and I-cells (blue) of the full spiking QIF model, the corresponding raster plot and the time at which the square-wave pulse is applied. We have integrated the full network of QIF neurons for 1000 ms. At time 200 ms we apply the two inputs of von Mises type. The square-wave pulse is applied at time 200 + 23T + t ms.
doi: https://doi.org/10.1371/journal.pcbi.1009342.g008