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The influence of autapse on synchronous firing in small-world neural networks

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  • Peng, Lu
  • Tang, Jun
  • Ma, Jun
  • Luo, Jinming

Abstract

The synchronization of the nervous system is strongly related to diseases such as Parkinson’s, epilepsy, and schizophrenia. Given that the existence of autapse has been proved experimentally, the influence of autapse on the synchronization in a neural network is studied numerically. The results show that increasing coupling intensity could destroy the synchronization of the neural firing pattern, and reduce the firing rate in the network. Especially, an inhibition zone, in which the neural firing is inhibited completely, exists for changes of both coupling intensity and time delay in all types of autapses. As a key factor for different types of autapses, the transmission time delay influences the synchronization complicatedly, i.e., increasing time delay could modulate synchronization for different types of autapse and parameter regions. The theoretical results in this paper shed some light on the study about the mechanism of neural synchronization.

Suggested Citation

  • Peng, Lu & Tang, Jun & Ma, Jun & Luo, Jinming, 2022. "The influence of autapse on synchronous firing in small-world neural networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 594(C).
    • Handle: RePEc:eee:phsmap:v:594:y:2022:i:c:s0378437122000607
    DOI: 10.1016/j.physa.2022.126956
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    References listed on IDEAS

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    1. Yilmaz, Ergin & Baysal, Veli & Ozer, Mahmut & Perc, Matjaž, 2016. "Autaptic pacemaker mediated propagation of weak rhythmic activity across small-world neuronal networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 538-546.
    2. 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.
    3. Luping Yin & Rui Zheng & Wei Ke & Quansheng He & Yi Zhang & Junlong Li & Bo Wang & Zhen Mi & Yue-sheng Long & Malte J. Rasch & Tianfu Li & Guoming Luan & Yousheng Shu, 2018. "Autapses enhance bursting and coincidence detection in neocortical pyramidal cells," Nature Communications, Nature, vol. 9(1), pages 1-12, December.
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    Cited by:

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