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Collective response, synapse coupling and field coupling in neuronal network

Author

Listed:
  • Guo, Shengli
  • Xu, Ying
  • Wang, Chunni
  • Jin, Wuyin
  • Hobiny, Aatef
  • Ma, Jun

Abstract

Based on an improved neuron model with electromagnetic induction, the collective responses of chain neuronal network are detected. Besides the gap junction coupling between adjacent neurons, magnetic flux coupling is used to describe the effect of field coupling among all neurons. A statistical factor of synchronization is calculated to find the pattern stability dependence on the coupling intensity of junction coupling and field coupling. Bifurcation analysis and wave propagation are presented. It is found that signal propagation can be suppressed by field coupling on the network driven by external stimulus with diversity. Otherwise, network synchronization can be enhanced when external current stimulus are imposed on neurons of the network uniformly.

Suggested Citation

  • Guo, Shengli & Xu, Ying & Wang, Chunni & Jin, Wuyin & Hobiny, Aatef & Ma, Jun, 2017. "Collective response, synapse coupling and field coupling in neuronal network," Chaos, Solitons & Fractals, Elsevier, vol. 105(C), pages 120-127.
    • Handle: RePEc:eee:chsofr:v:105:y:2017:i:c:p:120-127
    DOI: 10.1016/j.chaos.2017.10.019
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    References listed on IDEAS

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    1. Ma, Jun & Wu, Fuqiang & Hayat, Tasawar & Zhou, Ping & Tang, Jun, 2017. "Electromagnetic induction and radiation-induced abnormality of wave propagation in excitable media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 508-516.
    2. Ma, Jun & Wang, Ya & Wang, Chunni & Xu, Ying & Ren, Guodong, 2017. "Mode selection in electrical activities of myocardial cell exposed to electromagnetic radiation," Chaos, Solitons & Fractals, Elsevier, vol. 99(C), pages 219-225.
    3. Hui Zhang & Yueling Chen & Yong Chen, 2012. "Noise Propagation in Gene Regulation Networks Involving Interlinked Positive and Negative Feedback Loops," PLOS ONE, Public Library of Science, vol. 7(12), pages 1-8, December.
    4. Song, Xinlin & Wang, Chunni & Ma, Jun & Ren, Guodong, 2016. "Collapse of ordered spatial pattern in neuronal network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 451(C), pages 95-112.
    5. D. Valenti & G. Augello & B. Spagnolo, 2008. "Dynamics of a FitzHugh-Nagumo system subjected to autocorrelated noise," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 65(3), pages 443-451, October.
    6. Chunni Wang & Shengli Guo & Ying Xu & Jun Ma & Jun Tang & Faris Alzahrani & Aatef Hobiny, 2017. "Formation of Autapse Connected to Neuron and Its Biological Function," Complexity, Hindawi, vol. 2017, pages 1-9, February.
    7. Shengli Guo & Jun Tang & Jun Ma & Chunni Wang, 2017. "Autaptic Modulation of Electrical Activity in a Network of Neuron-Coupled Astrocyte," Complexity, Hindawi, vol. 2017, pages 1-13, June.
    8. Ma, Jun & Mi, Lv & Zhou, Ping & Xu, Ying & Hayat, Tasawar, 2017. "Phase synchronization between two neurons induced by coupling of electromagnetic field," Applied Mathematics and Computation, Elsevier, vol. 307(C), pages 321-328.
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    Cited by:

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    7. Nazarimehr, Fahimeh & Panahi, Shirin & Jalili, Mahdi & Perc, Matjaž & Jafari, Sajad & Ferčec, Brigita, 2020. "Multivariable coupling and synchronization in complex networks," Applied Mathematics and Computation, Elsevier, vol. 372(C).
    8. Ren, Guodong & Xue, Yuxiong & Li, Yuwei & Ma, Jun, 2019. "Field coupling benefits signal exchange between Colpitts systems," Applied Mathematics and Computation, Elsevier, vol. 342(C), pages 45-54.
    9. Li, Zhijun & Chen, Kaijie, 2023. "Neuromorphic behaviors in a neuron circuit based on current-controlled Chua Corsage Memristor," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
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    11. Zhang, Yin & Wu, Fuqiang & Wang, Chunni & Ma, Jun, 2019. "Stability of target waves in excitable media under electromagnetic induction and radiation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 519-530.

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