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Article Dans Une Revue Neurocomputing Année : 2012

Active spike transmission in the neuron model with a winding threshold manifold

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Résumé

We analyze spiking responses of excitable neuron model with a winding threshold manifold on a pulse stimulation. The model is stimulated with external pulse stimuli and can generate nonlinear integrate-and-fire and resonant responses typical for excitable neuronal cells (all-or-none). In addition we show that for certain parameter range there is a possibility to trigger a spiking sequence with a finite number of spikes (a spiking message) in the response on a short stimulus pulse. So active transformation of N incoming pulses to M (with M>N) outgoing spikes is possible. At the level of single neuron computations such property can provide an active "spike source" compensating "spike dissipation" due to the integrate-and-fire N to 1 response. We delineate the dynamical mechanism for the N to M transformation based on the winding threshold manifold in the neighborhood of big saddle loop bifurcation. Based on the theoretical predictions, a nonlinear electronic circuit is designed implementing the active transmission in physical conditions.
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Dates et versions

hal-00711090 , version 1 (22-06-2012)

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Victor B. Kasantsev, Tchakoutio Nguetcho Serge, Sabir Jacquir, Stéphane Binczak, Jean-Marie Bilbault. Active spike transmission in the neuron model with a winding threshold manifold. Neurocomputing, 2012, 83, pp.205-211. ⟨10.1016/j.neucom.2011.12.014,⟩. ⟨hal-00711090⟩
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