Abstract.
This paper gives an explanation for the experimentally observed onset latencies of the inhibitory responses that vary from a few milliseconds to hundreds of milliseconds in systems where the conduction delays are only several milliseconds in the feedback pathways. To do this we use a simple mathematical model. The model consists of two delay differential equations (DDE) where the nonlinear relation between the postsynaptic potential and the firing frequency of the neuron population arises from the stoichiometry of the transmitter-receptor kinetics. The parameters of the model refer to the hippocampal feedback system, and the modeling results are compared with corresponding experiments.
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Received: 31 May 2002 / Accepted: 5 February 2003 / Published online: 20 May 2003
Correspondence to: C. Hauptmann (e-mail: chauptma@cnd.mcgill.ca)
Acknowledgements. We thank Prof. Krnjevic and Prof. Glavinovic for helpful and extensive discussions about this problem. This work was supported by MITACS (Canada), the Natural Sciences and Engineering Research Council (NSERC grant OGP-0036920, Canada), the Alexander von Humboldt Stiftung, Le Fonds pour la Formation de Chercheurs et l'Aide à la Recherche (FCAR grant 98ER1057, Québec), and the Leverhulme Trust (U.K.).
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Hauptmann, C., Mackey, M. Stimulus-dependent onset latency of inhibitory recurrent activity. Biol. Cybern. 88, 459–467 (2003). https://doi.org/10.1007/s00422-003-0401-2
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DOI: https://doi.org/10.1007/s00422-003-0401-2