Title
Geometric analysis of neuronal firing patterns in network models with fast inhibitory synapses
Abstract
We demonstrate how geometric dynamical systems techniques can yield insight into network behavior in models of coupled neurons. Such an approach is useful for understanding general mechanisms by which firing patterns, such as synchrony and clustering, arise and for computing how cells’ intrinsic and synaptic properties shape network behavior. We focus here on biophysical models, based on the Hodgkin–Huxley formalism, relevant to thalamic activity during sleep and paroxysmal discharges and especially on the role of fast inhibitory coupling in synchronous oscillations. A key finding is that qualitative differences in synchronization mechanisms appear in models with different complexity levels.
Year
DOI
Venue
1999
10.1016/S0925-2312(99)00039-9
Neurocomputing
Keywords
Field
DocType
Synchronization,Oscillations,Inhibition,Singular perturbation
Synapse,Synchronization,Geometric analysis,Inhibitory postsynaptic potential,Dynamical systems theory,Artificial intelligence,Cluster analysis,Network behavior,Machine learning,Mathematics,Network model
Journal
Volume
ISSN
Citations 
26-27
0925-2312
0
PageRank 
References 
Authors
0.34
1
2
Name
Order
Citations
PageRank
Jonathan E. Rubin123531.34
David Terman200.34