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Updated: Jul 7, 2026

Real-time Electrophysiology: Using Closed-loop Protocols to Probe Neuronal Dynamics and Beyond
Published on: June 24, 2015
Synchronization of excitatory neurons with strongly heterogeneous phase responses
Yasuhiro Tsubo1, Jun-nosuke Teramae, Tomoki Fukai
1Laboratory for Neural Circuit Theory, RIKEN Brain Science Institute, Saitama 351-0198, Japan. yasuhirotsubo@riken.jp
Abstract:
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.
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