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Entrainment range affected by the second-order interactions between coupled neuron oscillators in the suprachiasmatic nucleus

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  • Zheng, Wenxin
  • Gu, Changgui
  • Xu, Yan
  • Yang, Huijie

Abstract

Higher-order interactions between coupled oscillators in neural networks exhibit a series of collective behavior phenomena, especially synchronization, some of which cannot occur in pairwise interactions. Thus far, there has been little researches on whether the higher-order interactions affect other collective behaviors besides synchronization, such as the entrainment ability of the suprachiasmatic nucleus (SCN), which is a master clock located in the mammalian brain. In this article, we investigated whether the entrainment range of the SCN is affected by the second-order interactions, based on a modified Kuramoto model. The numerical simulations and theoretical analyses both showed that the entrainment range is widened by introducing the second-order interactions in the case that a part of the SCN neurons are sensitive to the light information. It was worth noting that the entrainment range depends on the different initial values of the neuronal oscillator phases, and this dependence has not been observed in previous studies of the pairwise interactions. Our findings help to understand the effect of higher-order interactions between the coupled neuron oscillators on the entrainment range of the SCN.

Suggested Citation

  • Zheng, Wenxin & Gu, Changgui & Xu, Yan & Yang, Huijie, 2023. "Entrainment range affected by the second-order interactions between coupled neuron oscillators in the suprachiasmatic nucleus," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
    • Handle: RePEc:eee:chsofr:v:175:y:2023:i:p2:s0960077923009529
    DOI: 10.1016/j.chaos.2023.114051
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    References listed on IDEAS

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    1. Changgui Gu & Yang Zhang & Wenxin Zheng & Haiying Wang & Huijie Yang & Man Wang, 2023. "Phase-shift of cellular coupling induces the anti-phase synchronization between the left and right suprachiasmatic nucleus," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 34(04), pages 1-12, April.
    2. Huan Wang & Chuang Ma & Han-Shuang Chen & Ying-Cheng Lai & Hai-Feng Zhang, 2022. "Full reconstruction of simplicial complexes from binary contagion and Ising data," Nature Communications, Nature, vol. 13(1), pages 1-10, December.
    3. Jos H T Rohling & Henk Tjebbe vanderLeest & Stephan Michel & Mariska J Vansteensel & Johanna H Meijer, 2011. "Phase Resetting of the Mammalian Circadian Clock Relies on a Rapid Shift of a Small Population of Pacemaker Neurons," PLOS ONE, Public Library of Science, vol. 6(9), pages 1-9, September.
    4. Huan Wang & Chuang Ma & Han-Shuang Chen & Ying-Cheng Lai & Hai-Feng Zhang, 2022. "Author Correction: Full reconstruction of simplicial complexes from binary contagion and Ising data," Nature Communications, Nature, vol. 13(1), pages 1-1, December.
    5. Yuanzhao Zhang & Maxime Lucas & Federico Battiston, 2023. "Higher-order interactions shape collective dynamics differently in hypergraphs and simplicial complexes," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
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