Fluctuation-response relations for integrate-and-fire models with an absolute refractory period.
Fluctuation–dissipation relations
Neural signal transmission
Spike-train analysis
Stochastic neuron models
Journal
Biological cybernetics
ISSN: 1432-0770
Titre abrégé: Biol Cybern
Pays: Germany
ID NLM: 7502533
Informations de publication
Date de publication:
23 Jan 2024
23 Jan 2024
Historique:
received:
09
11
2023
accepted:
11
12
2023
medline:
23
1
2024
pubmed:
23
1
2024
entrez:
23
1
2024
Statut:
aheadofprint
Résumé
We study the problem of relating the spontaneous fluctuations of a stochastic integrate-and-fire (IF) model to the response of the instantaneous firing rate to time-dependent stimulation if the IF model is endowed with a non-vanishing refractory period and a finite (stereotypical) spike shape. This seemingly harmless addition to the model is shown to complicate the analysis put forward by Lindner Phys. Rev. Lett. (2022), i.e., the incorporation of the reset into the model equation, the Rice-like averaging of the stochastic differential equation, and the application of the Furutsu-Novikov theorem. We derive a still exact (although more complicated) fluctuation-response relation (FRR) for an IF model with refractory state and a white Gaussian background noise. We also briefly discuss an approximation for the case of a colored Gaussian noise and conclude with a summary and outlook on open problems.
Identifiants
pubmed: 38261004
doi: 10.1007/s00422-023-00982-9
pii: 10.1007/s00422-023-00982-9
doi:
Types de publication
Journal Article
Langues
eng
Sous-ensembles de citation
IM
Informations de copyright
© 2024. The Author(s).
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