Bifurcations of Emergent Bursting in a Neuronal Network

Yu Wu, Wenlian Lu, Wei Lin, Gareth Leng and Jianfeng Feng

PLOS ONE, 2012, vol. 7, issue 6, 1-12

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:plo:pone00:0038402

DOI: 10.1371/journal.pone.0038402

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