Title
On the application of "equation-free modelling" to neural systems
Abstract
“Equation-free modelling” is a recently-developed technique for bridging the gap between detailed, microscopic descriptions of systems and macroscopic descriptions of their collective behaviour. It uses short, repeated bursts of simulation of the microscopic dynamics to analyse the effective macroscopic equations, even though such equations are not directly available for evaluation. This paper demonstrates these techniques on a variety of networks of model neurons, and discusses the advantages and limitations of such an approach. New results include an understanding of the effects of including gap junctions in a model capable of sustaining spatially localised “bumps” of activity, and an investigation of a network of coupled bursting neurons.
Year
DOI
Venue
2006
10.1007/s10827-006-3843-z
Journal of Computational Neuroscience
Keywords
DocType
Volume
equation-free,bifurcation,model,microscopic,macroscopic
Journal
20
Issue
ISSN
Citations 
1
0929-5313
5
PageRank 
References 
Authors
0.77
11
1
Name
Order
Citations
PageRank
Carlo R. Laing129541.21