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Linking structure and activity in nonlinear spiking networks

Fig 11

Feynman rules for networks of stochastically spiking neurons with nonlinear input-rate transfer ϕ.

These rules provide an algorithm for computing the expansion of the cumulants around the mean field solution . The dots between the outgoing legs of the first vertex indicate that there are any number of outgoing legs greater than or equal to two. The number b of incoming edges of the second vertex correspond to its factor containing the bth derivative of ϕ, evaluated at the mean field input. The a dots between the outgoing edges of the second vertex indicate that it can have any number of outgoing edges such that a + b ≥ 3.

doi: https://doi.org/10.1371/journal.pcbi.1005583.g011