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The response of a neural cell to an external stimulus can follow one of thetwo patterns: Nonresonant neurons monotonously relax to the resting state afterexcitation while resonant ones show subthreshold oscillations. We investigatehow do these subthreshold properties of neurons affect their suprathresholdresponse. Vice versa we ask: Can we distinguish between both types of neuronaldynamics using suprathreshold spike trains? The dynamics of neurons is given bystochastic FitzHugh-Nagumo and Morris-Lecar models with either having a focusor a node as the stable fixpoint. We determine numerically the spectral powerdensity as well as the interspike interval density in response to a random(noise-like) signals. We show that the information about the type of dynamicsobtained from power spectra is of limited validity. In contrast, the interspikeinterval density gives a very sensitive instrument for the diagnostics ofwhether the dynamics has resonant or nonresonant properties. For the lattervalue we formulate a fit formula and use it to reconstruct theoretically thespectral power density, which coincides with the numerically obtained spectra.We underline that the renewal theory is applicable to analysis ofsuprathreshold responses even of resonant neurons.Comment: 7 pages, 8 figure

Spectra and waiting-time densities in firing resonant and nonresonant neurons