1 2 Frequency - dependent response properties 3 of adapting spiking neurons 4

11 The dynamics of a population of integrate and fire (IF) neurons with spike-frequency adaptation (SFA) 12 is studied. Using a population density approach and assuming a slow dynamics for the variable driving 13 SFA, an equation for the emission rate of a finite set of uncoupled neurons is derived. The system dynamics 14 is then analyzed in the neighborhood of its stable fixed points by linearizing the emission rate equation. The 15 information transfer properties are then probed by perturbing the system with a sinusoidal input current: 16 despite the low-pass properties of the dynamical variable associated with SFA, the adapting IF neuron 17 behaves as a band-pass device and a phase-lock condition appears at a frequency related to the character18 istic time constants of both neuronal and SFA dynamics. When a finite set of neurons is considered, the 19 power spectral density of the pooled firing rates shows for intermediate x a rich pattern of resonances. 20 Theoretical predictions are successfully compared to numerical simulations. 21 2006 Elsevier Inc. All rights reserved.