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Global Spatial Patterning Through Distance and Delay (Invited Talk)

 Bard Ermentrout
  
 

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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