scholarly journals The Connection-set Algebra: a formalism for the representation of connectivity structure in neuronal network models, implementations in Python and C++, and their use in simulators

2011 ◽  
Vol 12 (S1) ◽  
Author(s):  
Mikael Djurfeldt
Keyword(s):  
Neuronal Network ◽  
Network Models ◽  
Connectivity Structure

scholarly journals Towards Reproducible Descriptions of Neuronal Network Models

2009 ◽  
Vol 5 (8) ◽  
pp. e1000456 ◽  
Author(s):  
Eilen Nordlie ◽  
Marc-Oliver Gewaltig ◽  
Hans Ekkehard Plesser
Keyword(s):  
Neuronal Network ◽  
Network Models

EVANS FUNCTIONS AND NONLINEAR STABILITY OF TRAVELING WAVES IN NEURONAL NETWORK MODELS

2007 ◽  
Vol 17 (08) ◽  
pp. 2693-2704 ◽  
Author(s):  
BJÖRN SANDSTEDE
Keyword(s):  
Differential Equations ◽  
Neuronal Network ◽  
Nonlinear Stability ◽  
Traveling Waves ◽  
Network Models ◽  
Function Spaces ◽  
Spectral Stability ◽  
Evans Function ◽  
Evans Functions

Modeling networks of synaptically coupled neurons often leads to systems of integro-differential equations. Particularly interesting solutions in this context are traveling waves. We prove here that spectral stability of traveling waves implies their nonlinear stability in appropriate function spaces, and compare several recent Evans-function constructions that are useful tools when analyzing spectral stability.

Modularity-dependent modulation of synchronized bursting activity in cultured neuronal network models

2017 ◽  
Author(s):  
Satoshi Moriya ◽  
Hideaki Yamamoto ◽  
Hisanao Akima ◽  
Ayumi Hirano-Iwata ◽  
Michio Niwano ◽  
...  
Keyword(s):  
Neuronal Network ◽  
Network Models ◽  
Bursting Activity
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