Synchronization of excitatory neurons with strongly heterogeneous phase responses.
In many real-world oscillator systems, the phase response curves are highly heterogeneous. However, the dynamics of heterogeneous oscillator networks has not been seriously addressed. We propose a theoretical framework to analyze such a system by dealing explicitly with the heterogeneous phase response curves. We develop a method to solve the self-consistent equations for order parameters by using formal complex-valued phase variables, and apply our theory to networks of in vitro cortical neurons. We find a novel state transition that is not observed in previous oscillator network models.
Tsubo
Yasuhiro
Y
Laboratory for Neural Circuit Theory, RIKEN Brain Science Institute, Saitama 351-0198, Japan. yasuhirotsubo@riken.jp
Teramae
Jun-nosuke
JN
Fukai
Tomoki
T
D001683:Biological Clocks / Q000502:physiology*; D002540:Cerebral Cortex / Q000166:cytology* / Q000502:physiology*; D008959:Models, Neurological; D009415:Nerve Net / Q000502:physiology; D009474:Neurons / Q000502:physiology*