Spatial mode dynamics of a thalamo-cortical network

摘要

Abstract: In this paper we extend recent work concerning the emergence of macroscopic patterns in a thalamo-cortical network. A small number of thalamic `cells' were used to drive a network of cortical cells structured on a square lattice consisting of 2- torus connectivity. It was previously shown that the network can exhibit irregular and periodic spatial behavior with the latter including both standing and traveling waves. A systematic analysis of this network across a wide range of driving frequencies revealed several properties of its spatiotemporal behavior which resemble those of the 8 - 12 Hz cortical alpha rhythm. We extend these results by examining the time-dependent amplitude of the spatial modes of this network and derive a system of ODEs to characterize their dynamics. Finally, we investigate the relationship between changes at the microscopic (cellular) level of this system and their effect on these macroscopic parameters.!20