Journal
NEUROCOMPUTING
Volume 83, Issue -, Pages 205-211Publisher
ELSEVIER
DOI: 10.1016/j.neucom.2011.12.014
Keywords
Excitability; Spike transmission; Active response; Spike encoding; Threshold manifold; Nonlinear dynamics
Categories
Funding
- PICs Russian-French Grant [4826, 09-02-91061]
- RFBR [11-04-12144]
- Russian Scientific-educational Program [652 14.740.11.0075]
- Russian President Grant [MD-5096.2011.2]
- MCB of RAS
- VIBOT
- Russian Science Support Foundation
- Abdus Salam International Centre for Theoretical Physics (ICTP, Trieste, Italy) through the office of external Activities (OEA)
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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. (C) 2012 Elsevier B.V. All rights reserved.
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