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Collective dynamics of neuronal network under synapse and field coupling

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Abstract

Electrical and chemical synapses are essential for signal exchange between neurons. The continuous exchange of ion concentration in cells will induce complex time-varying electromagnetic fields, which can further regulate the dynamic response of neural electrical activities. Therefore, it is of practical significance to introduce the magnetic field and electric field into the traditional neuron model and study the collective dynamics of neuronal network. In this paper, the standard deviation and synchronization factor are introduced to measure the intensity of electrical activity and network synchronization, respectively. It can be found that varying electrical synapse coupling can change the effects of the magnetic coupling strength and cell size on synchronization. On the other hand, for lower magnetic field coupling strength and cell size, the electrical synapse coupling can induces synchronization more effectively. Our obtained results will provide new insights into signal coding and transition between neurons.

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Data availability

The data that support the findings of this study are available from the corresponding author upon reasonable request.

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Acknowledgements

This work is supported by the National Natural Science Foundation of PRC under grant no. 62062014; the Innovation Project of Guangxi Graduate Education Grant Nos. XYCSZ2020052 and XJGY2020002.

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  1. College of Electronic Engineering, Guangxi Normal University, Guilin, 541004, China

    Qian Zhou & Du Qu Wei

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  1. Qian Zhou
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  2. Du Qu Wei
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Correspondence to Du Qu Wei.

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Zhou, Q., Wei, D.Q. Collective dynamics of neuronal network under synapse and field coupling. Nonlinear Dyn 105, 753–765 (2021). https://doi.org/10.1007/s11071-021-06575-0

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  • DOI: https://doi.org/10.1007/s11071-021-06575-0

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