Recurrence-Based Synchronization Analysis of Weakly Coupled Bursting Neurons under External ELF Fields
1
Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes, Faculty of Sciences, University of Yaoundé I, Yaoundé 812, Cameroon
2
Potsdam Institute for Climate Impact Research (PIK), Member of the Leibniz Association, Telegraphenberg, 14473 Potsdam, Germany
3
Department of Physics, Humboldt University of Berlin, 12489 Berlin, Germany
*
Author to whom correspondence should be addressed.
†
This paper is dedicated to the memory of A. Mboussi Nkomidio (1980–2016) who passed away during the work at this paper.
Academic Editors: Franco Orsucci and Wolfgang Tschacher
Entropy 2022, 24(2), 235; https://doi.org/10.3390/e24020235
Received: 30 December 2021
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Revised: 27 January 2022
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Accepted: 1 February 2022
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Published: 3 February 2022
(This article belongs to the Special Issue Complexity Science in Human Change: Research, Models, Clinical Applications)
We investigate the response characteristics of a two-dimensional neuron model exposed to an externally applied extremely low frequency (ELF) sinusoidal electric field and the synchronization of neurons weakly coupled with gap junction. We find, by numerical simulations, that neurons can exhibit different spiking patterns, which are well observed in the structure of the recurrence plot (RP). We further study the synchronization between weakly coupled neurons in chaotic regimes under the influence of a weak ELF electric field. In general, detecting the phases of chaotic spiky signals is not easy by using standard methods. Recurrence analysis provides a reliable tool for defining phases even for noncoherent regimes or spiky signals. Recurrence-based synchronization analysis reveals that, even in the range of weak coupling, phase synchronization of the coupled neurons occurs and, by adding an ELF electric field, this synchronization increases depending on the amplitude of the externally applied ELF electric field. We further suggest a novel measure for RP-based phase synchronization analysis, which better takes into account the probabilities of recurrences.
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Keywords:
neuron; electric field; weak coupling; gap junction; synchronization; recurrence plot
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Externally hosted supplementary file 1
Doi: 10.5281/zenodo.5910812
Description: Code used to perform the analysis of this study
MDPI and ACS Style
Nkomidio, A.M.; Ngamga, E.K.; Nbendjo, B.R.N.; Kurths, J.; Marwan, N. Recurrence-Based Synchronization Analysis of Weakly Coupled Bursting Neurons under External ELF Fields. Entropy 2022, 24, 235. https://doi.org/10.3390/e24020235
AMA Style
Nkomidio AM, Ngamga EK, Nbendjo BRN, Kurths J, Marwan N. Recurrence-Based Synchronization Analysis of Weakly Coupled Bursting Neurons under External ELF Fields. Entropy. 2022; 24(2):235. https://doi.org/10.3390/e24020235
Chicago/Turabian StyleNkomidio, Aissatou M., Eulalie K. Ngamga, Blaise R.N. Nbendjo, Jürgen Kurths, and Norbert Marwan. 2022. "Recurrence-Based Synchronization Analysis of Weakly Coupled Bursting Neurons under External ELF Fields" Entropy 24, no. 2: 235. https://doi.org/10.3390/e24020235
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