Wu, Yu, Lu, Wenlian, Lin, Wei, Leng, Gareth and Feng, Jianfeng. (2012) Bifurcations of emergent bursting in a neuronal network. PLoS ONE, Vol.7 (No.6). e38402. ISSN 1932-6203

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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.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics Q Science > QP Physiology
Divisions:	Faculty of Science > Computer Science Faculty of Science > Centre for Scientific Computing
Library of Congress Subject Headings (LCSH):	Neural networks (Neurobiology) -- Mathematical models, Bifurcation theory
Journal or Publication Title:	PLoS ONE
Publisher:	PLOS
ISSN:	1932-6203
Date:	7 June 2012
Volume:	Vol.7
Number:	No.6
Page Range:	e38402
Identification Number:	10.1371/journal.pone.0038402
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Open Access
Funder:	China Scholarship Council (CSC), Seventh Framework Programme (European Commission) (FP7/2007-2013), Foundation for the Author of National Excellent Doctoral Dissertation (China), Shanghai Rising-Star Program, Shanghai Guidance of Science and Technology (SGST), Guo jia zi ran ke xue ji jin wei yuan hui (China) [National Natural Science Foundation of China] (NSFC), Wellcome Trust (London, England), Royal Society (Great Britain), European Union (EU), Engineering and Physical Sciences Research Council (EPSRC), Zhongguo ke xue yuan [Chinese Academy of Sciences] (CAS)
Grant number:	FP7-PEOPLE-2011-IIF-302421 (FP7), 200921 (China), 11QA1400400 (Shanghai), 09DZ2272900 (SGST), 10971035 (NSFC), 10SG02 (Talent), NCET-11-0109 (Talent), 11QH1400200 (Talent), BION (EU)
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URI:	http://wrap.warwick.ac.uk/id/eprint/46357

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