Synaptic integration of NMDA and non-NMDA receptors in large neuronal network models solved by means of differential equations

1994 ◽  
Vol 70 (3) ◽  
pp. 267-273 ◽  
Author(s):  
C. Bernard ◽  
Y. C. Ge ◽  
E. Stockley ◽  
J. B. Willis ◽  
H. V. Wheal
Keyword(s):  
Differential Equations ◽  
Nmda Receptors ◽  
Neuronal Network ◽  
Network Models ◽  
Synaptic Integration

Synaptic integration of NMDA and non-NMDA receptors in large neuronal network models solved by means of differential equations

1994 ◽  
Vol 70 (3) ◽  
pp. 267-273
Author(s):  
C. Bernard ◽  
Y. C. Ge ◽  
E. Stockley ◽  
J. B. Willis ◽  
H. V. Wheal Not Available
Keyword(s):  
Differential Equations ◽  
Nmda Receptors ◽  
Neuronal Network ◽  
Network Models ◽  
Synaptic Integration

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.

scholarly journals Network Models Made by Dynamic Differential Equations

2017 ◽  
Vol 107 ◽  
pp. 466-471 ◽  
Author(s):  
Bing Yao ◽  
Jing Su ◽  
Fei Ma ◽  
Xiaomin Wang ◽  
Hui Sun ◽  
...  
Keyword(s):  
Differential Equations ◽  
Network Models

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

scholarly journals Global Dynamics of Intact AMPA and NMDA Receptors using Elastic Network Models

2016 ◽  
Vol 110 (3) ◽  
pp. 382a
Author(s):  
Ji Young Lee ◽  
Anindita Dutta ◽  
James Krieger ◽  
Javier Garcia-Nafria ◽  
Ingo Greger ◽  
...  
Keyword(s):  
Nmda Receptors ◽  
Network Models ◽  
Global Dynamics ◽  
Elastic Network ◽  
Elastic Network Models ◽  
Ampa And Nmda Receptors
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