%0 Journal Article
%A Heiberg, Thomas
%A Kriener, Birgit
%A Tetzlaff, Tom
%A Einevoll, Gaute T.
%A Plesser, Hans E.
%T Firing-rate models for neurons with a broad repertoire of spiking behaviors
%J Journal of computational neuroscience
%V 45
%N 2
%@ 0929-5313
%C Dordrecht [u.a.]
%I Springer Science + Business Media B.V
%M FZJ-2018-05077
%P 103-132
%D 2018
%X Capturing the response behavior of spiking neuron models with rate-based models facilitates the investigation of neuronal networks using powerful methods for rate-based network dynamics. To this end, we investigate the responses of two widely used neuron model types, the Izhikevich and augmented multi-adapative threshold (AMAT) models, to a range of spiking inputs ranging from step responses to natural spike data. We find (i) that linear-nonlinear firing rate models fitted to test data can be used to describe the firing-rate responses of AMAT and Izhikevich spiking neuron models in many cases; (ii) that firing-rate responses are generally too complex to be captured by first-order low-pass filters but require bandpass filters instead; (iii) that linear-nonlinear models capture the response of AMAT models better than of Izhikevich models; (iv) that the wide range of response types evoked by current-injection experiments collapses to few response types when neurons are driven by stationary or sinusoidally modulated Poisson input; and (v) that AMAT and Izhikevich models show different responses to spike input despite identical responses to current injections. Together, these findings suggest that rate-based models of network dynamics may capture a wider range of neuronal response properties by incorporating second-order bandpass filters fitted to responses of spiking model neurons. These models may contribute to bringing rate-based network modeling closer to the reality of biological neuronal networks.
%F PUB:(DE-HGF)16
%9 Journal Article
%$ pmid:30146661
%U <Go to ISI:>//WOS:000447740300003
%R 10.1007/s10827-018-0693-9
%U https://juser.fz-juelich.de/record/851430