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Resonance in Stochastic Neuron Model with Delayed Interaction

 Toru Ohir, Yuzuru Sato and Jack D. Cowan
  
 

Abstract:
We study here a simple stochastic single neuron model with delayed self--feedback capable of generating spike trains. The model is investigated numerically and found that its spike trains show a peculiar resonant behavior between "noise" and "delay". In order to gain the insight in this resonance, we abstract the model and study a stochastic binary element whose transition probability depends on its state at a fixed interval in the past. With this abstracted model we can analytically capture the time interval histograms between spikes and how the resonance between noise and delay arises. The resonance is also observed when such stochastic binary elements are coupled through delayed interaction.

 
 


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