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Abstract:
This talk will focus on spatial pattern formation in networks
of neurons in which there is underlying temporal dynamics. This
results in some new ways in which connectivity that would normally
not result in any kind of instabilities can lead to large amplitude
spatial patterns. Recent work by Koch and Leisman and by Jirsa et
al exploits this idea to generate global patterns from local
heterogeneities. We focus on oscillatory and excitable networks. We
discuss the general principles that underly global spatial patterns
and how delays (explicit or dynamic) conspire to create global
spatial patterns. We apply these general ideas to propagating waves
in thalamic networks, emergence of waves in central pattern
generators, and to some simple continuum cortical networks.
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