Progress of Theoretical Physics
Supplement No.161 (2006) pp. 356-359
URL : http://ptp.ipap.jp/link?PTPS/161/356/
DOI : 10.1143/PTPS.161.356

Synchronization Properties of Slow Cortical Oscillations

Takashi Takekawa,^1,2,* Toshio Aoyagi^2,3 and Tomoki Fukai^1,4

(Received July 5, 2005)

During slow-wave sleep, the brain shows slow oscillatory activity with remarkable long-range synchrony. Intracellular recordings show that the slow oscillation consists of two phases: an up state and a down state. Deriving the phase-response function of simplified neuronal systems, we examine the synchronization properties on slow oscillations between the up state and the down state. As a result, the strange interaction functions are found in some parameter ranges. These functions indicate that the states with the smaller phase lag than a critical value are all stable.

^*E-mail: takekawa@brain.riken.jp

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