Berlin 2024 – wissenschaftliches Programm
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BP: Fachverband Biologische Physik
BP 1: Systems and Network Biophysics
BP 1.5: Vortrag
Montag, 18. März 2024, 11:00–11:15, H 0112
Fluctuation-response relations for integrate-and-fire models with an absolute refractory period — •Benjamin Lindner1,2 and Friedrich Puttkammer1,2 — 1Institut für Physik, Humboldt-Universität zu Berlin — 2Bernstein Center for Computational Neuroscience Berlin
For many systems in statistical physics it is known, that their spontaneous fluctuations and their response to a time-dependent perturbation are related via a fluctuation-dissipation theorem. For spike-generating nerve cells (neurons) such relations have been uncovered only recently (Lindner, PRL 2022) but these fluctuation-response relations (FRRs) were limited to a special class of stochastic neuron models, namely, integrate-and-fire (IF) neurons without a refractory period. Here we relax this restriction and derive FRRs for IF neurons with an absolute refractory period and a stereotypical spike shape for the action potential. The derived relations are exact for the case of an uncorrelated (white) intrinsic noise but only approximate if the intrinsic fluctuations are temporally correlated. All results are tested by comparison with stochastic simulations and reveal that even a small but nonvanishing refractory period leads to a significantly modified relation between fluctuation statistics and response statistics.
Keywords: Noise and fluctuations; Fluctuation-dissipation relations; stochastic neurons; neural signal transmission