Diagrams of the model described by Jirsa and Haken [45]. They explicitly model the conversion between cellular output and the synaptic input (transformation from pulse-to-wave, upper panels) and the conversion between synaptic activity and spike rate (transformation from wave-to-pulse, bottom panels). Top-left panel shows how the excitatory synaptic field (as a function of time and place ) is generated by the action potential field by integration over the 1-dimensional cortical “area” using integration variable . The outcome (59) depends on the distribution of connectivity and the conversion operation (60). The other panels in the top row show the same picture in various degrees of zooming out. The Bottom-left panel shows the generation of the action potential field (as a function of time t and place x) by the excitatory synaptic field (61). The outcome depends on the distribution of connectivity and the conversion operation (62). The other panels in the bottom row show the same in various degrees of zooming out. Note that the distribution function approaches a delta function . The depicted relationships only show the excitatory population; for the inhibitors, similar diagrams could be constructed.
