Bifurcations and Dynamics in Modified Two Population Neuronal Network Models

Author(s):  
S. Roy Choudhury ◽  
Gizem S. Oztepe
2009 ◽  
Vol 5 (8) ◽  
pp. e1000456 ◽  
Author(s):  
Eilen Nordlie ◽  
Marc-Oliver Gewaltig ◽  
Hans Ekkehard Plesser

2007 ◽  
Vol 17 (08) ◽  
pp. 2693-2704 ◽  
Author(s):  
BJÖRN SANDSTEDE

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.


Author(s):  
Satoshi Moriya ◽  
Hideaki Yamamoto ◽  
Hisanao Akima ◽  
Ayumi Hirano-Iwata ◽  
Michio Niwano ◽  
...  

2018 ◽  
Author(s):  
Jake P. Stroud ◽  
Mason A. Porter ◽  
Guillaume Hennequin ◽  
Tim P. Vogels

AbstractMotor cortex (M1) exhibits a rich repertoire of activities to support the generation of complex movements. Although recent neuronal-network models capture many qualitative aspects of M1 dynamics, they can generate only a few distinct movements. Additionally, it is unclear how M1 efficiently controls movements over a wide range of shapes and speeds. We demonstrate that simple modulation of neuronal input–output gains in recurrent neuronal-network models with fixed architecture can dramatically reorganize neuronal activity and thus downstream muscle outputs. Consistent with the observation of diffuse neuromodulatory projections to M1, we show that a relatively small number of modulatory control units provide sufficient flexibility to adjust high-dimensional network activity using a simple reward-based learning rule. Furthermore, it is possible to assemble novel movements from previously learned primitives, and one can separately change movement speed while preserving movement shape. Our results provide a new perspective on the role of modulatory systems in controlling recurrent cortical activity.


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