A New Method for Nonlinear Dynamic Analysis of the Multi-kinetics Neural Mass Model

IRBM ◽  
2019 ◽  
Vol 40 (3) ◽  
pp. 183-191
Author(s):  
X. Liu ◽  
Z. Feng ◽  
G. Wang ◽  
Q. Gao
2021 ◽  
Author(s):  
Áine Byrne ◽  
James Ross ◽  
Rachel Nicks ◽  
Stephen Coombes

AbstractNeural mass models have been used since the 1970s to model the coarse-grained activity of large populations of neurons. They have proven especially fruitful for understanding brain rhythms. However, although motivated by neurobiological considerations they are phenomenological in nature, and cannot hope to recreate some of the rich repertoire of responses seen in real neuronal tissue. Here we consider a simple spiking neuron network model that has recently been shown to admit an exact mean-field description for both synaptic and gap-junction interactions. The mean-field model takes a similar form to a standard neural mass model, with an additional dynamical equation to describe the evolution of within-population synchrony. As well as reviewing the origins of this next generation mass model we discuss its extension to describe an idealised spatially extended planar cortex. To emphasise the usefulness of this model for EEG/MEG modelling we show how it can be used to uncover the role of local gap-junction coupling in shaping large scale synaptic waves.


2018 ◽  
Vol 156 ◽  
pp. 351-362 ◽  
Author(s):  
Yi Hui ◽  
Hou Jun Kang ◽  
Siu Seong Law ◽  
Zheng Qing Chen

2016 ◽  
Vol 26 (11) ◽  
pp. 113118 ◽  
Author(s):  
Yuzhen Cao ◽  
Liu Jin ◽  
Fei Su ◽  
Jiang Wang ◽  
Bin Deng

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