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Bifurcations of Emergent Bursting in a Neuronal Network

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  • Yu Wu
  • Wenlian Lu
  • Wei Lin
  • Gareth Leng
  • Jianfeng Feng

Abstract

Complex neuronal networks are an important tool to help explain paradoxical phenomena observed in biological recordings. Here we present a general approach to mathematically tackle a complex neuronal network so that we can fully understand the underlying mechanisms. Using a previously developed network model of the milk-ejection reflex in oxytocin cells, we show how we can reduce a complex model with many variables and complex network topologies to a tractable model with two variables, while retaining all key qualitative features of the original model. The approach enables us to uncover how emergent synchronous bursting can arise from a neuronal network which embodies known biological features. Surprisingly, the bursting mechanisms are similar to those found in other systems reported in the literature, and illustrate a generic way to exhibit emergent and multiple time scale oscillations at the membrane potential level and the firing rate level.

Suggested Citation

  • Yu Wu & Wenlian Lu & Wei Lin & Gareth Leng & Jianfeng Feng, 2012. "Bifurcations of Emergent Bursting in a Neuronal Network," PLOS ONE, Public Library of Science, vol. 7(6), pages 1-12, June.
    • Handle: RePEc:plo:pone00:0038402
    DOI: 10.1371/journal.pone.0038402
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    References listed on IDEAS

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    1. Mark Stopfer & Seetha Bhagavan & Brian H. Smith & Gilles Laurent, 1997. "Impaired odour discrimination on desynchronization of odour-encoding neural assemblies," Nature, Nature, vol. 390(6655), pages 70-74, November.
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