(A) Minimal network for investigating local
synchronization of gamma and beta rhythms. For the gamma rhythms, the
E-E connections are absent; for the beta rhythms, they are a necessary
part of the circuit. (B) Gamma-to-beta transition of
local rhythms occurs as the AHP is turned on and the local E-E
connections are strengthened. Parameters are as in the Appendix. For
the gamma rhythm, gee = 0 and
gm = 0. At the first arrow,
gm is set to 1, switching the rhythm from
gamma to a rhythm in which the E-cells miss beats and fires
nonsynchronously. At t = 400,
gee = 0.15, and the network
quickly suppresses the nonsynchronous solution, leaving only the
synchronous local state. Throughout the transitions, the I cells shown
below exhibit only minor changes, slowing down slightly because of the
decreased excitation (excitation every other cycle).