Synchronization Properties of Slow Cortical Oscillations | Zendy

Takashi Takekawa | Zendy; Toshio Aoyagi | Zendy; Tomoki Fukai | Zendy

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Synchronization Properties of Slow Cortical Oscillations

Author(s) -

Takashi Takekawa,

Toshio Aoyagi,

Tomoki Fukai

Publication year - 2006

Publication title -

progress of theoretical physics supplement

Language(s) - English

Resource type - Journals

ISSN - 0375-9687

DOI - 10.1143/ptps.161.356

Subject(s) - synchronization (alternating current) , oscillation (cell signaling) , phase synchronization , lag , phase (matter) , physics , phase lag , range (aeronautics) , state (computer science) , statistical physics , control theory (sociology) , neuroscience , mathematics , computer science , mathematical analysis , chemistry , materials science , biology , topology (electrical circuits) , quantum mechanics , computer network , algorithm , combinatorics , composite material , biochemistry , control (management) , artificial intelligence

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.

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