Degree Correlations Optimize Neuronal Network Sensitivity to Sub-Threshold Stimuli

PLoS One. 2015 Jun 26;10(6):e0121794. doi: 10.1371/journal.pone.0121794. eCollection 2015.

Abstract

Information processing in the brain crucially depends on the topology of the neuronal connections. We investigate how the topology influences the response of a population of leaky integrate-and-fire neurons to a stimulus. We devise a method to calculate firing rates from a self-consistent system of equations taking into account the degree distribution and degree correlations in the network. We show that assortative degree correlations strongly improve the sensitivity for weak stimuli and propose that such networks possess an advantage in signal processing. We moreover find that there exists an optimum in assortativity at an intermediate level leading to a maximum in input/output mutual information.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Algorithms
  • Animals
  • Computer Simulation
  • Humans
  • Models, Neurological*
  • Nerve Net / physiology*
  • Neurons / physiology*
  • Synaptic Transmission

Grants and funding

CS, IS, and SR were supported by the Deutsche Forschungsgemeinschaft (IRTG 1740). AK was supported by FAPESP. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.