Cyclic transitions between higher order motifs underlie sustained asynchronous spiking in sparse recurrent networks
Fig 6
A: The left-hand panel shows the reciprocity (ratio of reciprocal connections to total connections) of functional graphs plotted as a function of their density (ratio of existing to possible connections). Data points for sustained runs are plotted in black and form a tight cluster, whereas those for truncated runs are varied. Truncated runs are colored by the ratio of inhibitory to excitatory spike rates. The right-hand panel shows the minimum distance (in reciprocity vs. density coordinate space for functional graphs) between each truncated run and a sustained run as a function of truncation time. Truncated runs which have greater than 200ms duration level off in their minimum distance. Thus, past a certain threshold, the difference between truncated and sustained runs’ density and reciprocity is not related to the run duration. B: The left-hand panel shows the reciprocity (ratio of reciprocal connections to total connections) of recruitment graphs plotted as a function of their density (ratio of existing to possible connections). Sustained runs are plotted in black and form a neat relationship between density and reciprocity and occur within a limited range of values. As in panel A, truncated runs are more diffuse. The color of each point indicates the ratio of inhibitory to excitatory spike rates. And also as in panel A, the right-hand panel shows the minimum distance between each truncated run and a sustained run (in reciprocity vs. density coordinate space) as a function of truncation time, this time for recruitment graphs. Truncated runs which have greater than 200ms duration level off in their minimum distance.