Search results for "Threshold manifold"

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

2012

International audience; 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" comp…

Cognitive Neuroscience[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS][ MATH.MATH-DS ] Mathematics [math]/Dynamical Systems [math.DS][ NLIN.NLIN-CD ] Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD]Threshold manifoldBiological neuron modelMachine learningcomputer.software_genreTopology01 natural sciences010305 fluids & plasmaslaw.inventionSpike encodingArtificial Intelligencelaw0103 physical sciences010306 general physicsSpike transmissionActive responseBifurcationMathematicsExcitabilityQuantitative Biology::Neurons and Cognitionbusiness.industry[SCCO.NEUR]Cognitive science/NeuroscienceDissipationComputer Science ApplicationsPulse (physics)[SPI.TRON]Engineering Sciences [physics]/Electronics[ SPI.TRON ] Engineering Sciences [physics]/ElectronicsNonlinear systemTransmission (telecommunications)Nonlinear dynamics[NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD][ SCCO.NEUR ] Cognitive science/NeuroscienceSpike (software development)Artificial intelligencebusinessManifold (fluid mechanics)computer
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