Fig. 1: Spike-time to population-rate transformation by TC NPLL.
From: Thalamocortical loops as temporal demodulators across senses

a Schematic description. Temporal variables are in blue and rate variables in red. t, time; R, rate; n, cycle number; X, comparator; ~, rate-controlled oscillator (RCO); Tc, the intrinsic period of the RCO; Rmax, maximal value of R; I, pool of inhibitory units. b Phase-plane description. The two transfer functions describe the reciprocal relationships between the temporal (Δt) and rate (R) variables, leading to a fixed point at their intersection. This fixed point ([Δtss, Rss]) is the steady-state the loop tries to converge to. The equations describe a linear NPLL; the behavior of non-linear NPLLs can be assessed near the fixed point using linear approximations (see refs. 19,20,23).