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Bifurcations of emergent bursting in a neuronal network
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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. doi:10.1371/journal.pone.0038402 ISSN 1932-6203.
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Official URL: http://dx.doi.org/10.1371/journal.pone.0038402
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 | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QP Physiology |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Computer Science Faculty of Science, Engineering and Medicine > Science > Centre for Scientific Computing |
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Library of Congress Subject Headings (LCSH): | Neural networks (Neurobiology) -- Mathematical models, Bifurcation theory | ||||
Journal or Publication Title: | PLoS ONE | ||||
Publisher: | PLOS | ||||
ISSN: | 1932-6203 | ||||
Official Date: | 7 June 2012 | ||||
Dates: |
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Volume: | Vol.7 | ||||
Number: | No.6 | ||||
Page Range: | e38402 | ||||
DOI: | 10.1371/journal.pone.0038402 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Open Access (Creative Commons) | ||||
Date of first compliant deposit: | 21 December 2015 | ||||
Date of first compliant Open Access: | 21 December 2015 | ||||
Funder: | China Scholarship Council (CSC), Seventh Framework Programme (European Commission) (FP7), Foundation for the Author of National Excellent Doctoral Dissertation (China), Shanghai Rising-Star Program (SRSP), 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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