Frequency separation by an excitatory-inhibitory network

  • Authors:
  • Alla Borisyuk;Janet Best;David Terman

  • Affiliations:
  • Department of Mathematics, University of Utah, Salt Lake City, USA 84112;Department of Mathematics, Mathematical Biosciences Institute, Ohio State University, Columbus, USA 43210;Department of Mathematics, Ohio State University, Columbus, USA 43210

  • Venue:
  • Journal of Computational Neuroscience
  • Year:
  • 2013

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Abstract

We consider a situation in which individual features of the input are represented in the neural system by different frequencies of periodic firings. Thus, if two of the features are presented concurrently, the input to the system will consist of a superposition of two periodic trains. In this paper we present an algorithm that is capable of extracting the individual features from the composite signal by separating the signal into periodic spike trains with different frequencies. We show that the algorithm can be implemented in a biophysically based excitatory-inhibitory network model. The frequency separation process works over a range of frequencies determined by time constants of the model's intrinsic variables. It does not rely on a "resonance" phenomenon and is not tuned to a discrete set of frequencies. The frequency separation is still reliable when the timing of incoming spikes is noisy.