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Updated: Jul 17, 2026
08:32
External Excitation of Neurons Using Electric and Magnetic Fields in One- and Two-dimensional Cultures
Published on: May 7, 2017
Chaotic Synchronization of Multi-neurons in External Electrical Stimulation
Wang Jiang1, Dengbin, Fei Xiangyang
1School of Electrical and Automation Eng., Tianjin University, Tianjin 300072, China. (e-mail: jiangwang@tju.edu.cn).
Summary
This study investigates neuron synchronization using gap junctions under electrical stimulation. Researchers derived mathematical conditions for complete synchronization in coupled periodic and chaotic neurons.
Area of Science:
- Neuroscience
- Computational Biology
- Physics
Background:
- Neuronal synchronization is crucial for brain function.
- Gap junctions mediate electrical coupling between neurons.
- External electrical stimulation can influence neuronal network dynamics.
Purpose of the Study:
- To investigate the synchronization of multiple neurons (n≥3) coupled via gap junctions under external electrical stimulation.
- To establish a coupled model based on the nonlinear cable model.
- To analyze the relationship between gap junction coupling strength and synchronization.
Main Methods:
- Development of a coupled nonlinear cable model for n neurons.
- Mathematical derivation to determine sufficient conditions for complete synchronization.
- Simulation and analysis of synchronization in both periodic and chaotic neuronal models.
Main Results:
- A detailed discussion on the relationship between gap junction coupling strength and synchronization.
- Derivation of a sufficient condition for achieving complete synchronization.
- Demonstration of synchronization phenomena in both periodic and chaotic neuron networks.
Conclusions:
- The study provides a rigorous mathematical framework for understanding neuronal synchronization in coupled networks.
- External electrical stimulation and gap junction coupling strength are key factors influencing synchronization.
- The findings are applicable to both regular and irregular neuronal firing patterns.
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