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Synchronization in Hindmarsh-Rose neurons subject to higher-order interactions
Fatemeh Parastesh1, Mahtab Mehrabbeik1, Karthikeyan Rajagopal2
1Department of Biomedical Engineering, Amirkabir University of Technology (Tehran polytechnic), Tehran 159163-4311, Iran.
Chaos (Woodbury, N.Y.)
|February 2, 2022
Summary
Higher-order neural interactions, including three-body effects, enhance brain synchronization. These complex interactions reduce the overall synchronization cost compared to simple pairwise connections.
Area of Science:
- Computational Neuroscience
- Complex Systems
- Network Science
Background:
- Collective dynamics in the brain are crucial for function.
- Understanding higher-order interactions is key to modeling neural networks.
- Existing models often focus on pairwise neuron interactions.
Purpose of the Study:
- To investigate the role of pairwise and three-body interactions in neural synchronization.
- To analyze the impact of electrical and chemical coupling on synchronization.
- To determine the conditions necessary for synchronization in complex neural systems.
Main Methods:
- Utilizing a simplicial complex model for neural networks.
- Employing linear stability analysis to derive synchronization conditions.
- Performing numerical computations to assess synchronization errors.
Main Results:
- Second-order interactions significantly lower required first-order coupling strengths for synchronization.
- Weak three-body interactions can induce synchronization.
- Incorporating three-body interactions reduces the overall synchronization cost compared to pairwise interactions.
Conclusions:
- Higher-order interactions are vital for efficient neural synchronization.
- Three-body interactions offer a more cost-effective mechanism for synchronization than pairwise interactions.
- This study provides a framework for understanding complex neural dynamics.
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