Paradoxical roles of inhibitory autapse and excitatory synapse in formation of counterintuitive anticipated synchronization

doi:10.1088/1674-1056/acc450

中国物理B ›› 2023, Vol. 32 ›› Issue (8): 88701-088701.doi: 10.1088/1674-1056/acc450

Paradoxical roles of inhibitory autapse and excitatory synapse in formation of counterintuitive anticipated synchronization

Xue-Li Ding(丁学利)¹, Hua-Guang Gu(古华光)^2,†, Yu-Ye Li(李玉叶)³, and Yan-Bing Jia(贾雁兵)⁴

1. Department of Public Basic Education, Fuyang Institute of Technology, Fuyang 236031, China;
2. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China;
3. College of Mathematics and Computer Science, Chifeng University, Chifeng 024000, China;
4. School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471000, China

收稿日期:2023-01-08 修回日期:2023-03-07 接受日期:2023-03-15 发布日期:2023-07-26
通讯作者: Hua-Guang Gu E-mail:guhuaguang@tongji.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos.12072236, 12162002, and 11802086), the Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region (Grant No.NJYT-20-A09), and the Program for Excellent Young Talents in Colleges and Universities of Anhui Province of China (Grant No.gxyqZD2020077).

Paradoxical roles of inhibitory autapse and excitatory synapse in formation of counterintuitive anticipated synchronization

Xue-Li Ding(丁学利)¹, Hua-Guang Gu(古华光)^2,†, Yu-Ye Li(李玉叶)³, and Yan-Bing Jia(贾雁兵)⁴

1. Department of Public Basic Education, Fuyang Institute of Technology, Fuyang 236031, China;
2. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China;
3. College of Mathematics and Computer Science, Chifeng University, Chifeng 024000, China;
4. School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471000, China

Received:2023-01-08 Revised:2023-03-07 Accepted:2023-03-15 Published:2023-07-26
Contact: Hua-Guang Gu E-mail:guhuaguang@tongji.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos.12072236, 12162002, and 11802086), the Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region (Grant No.NJYT-20-A09), and the Program for Excellent Young Talents in Colleges and Universities of Anhui Province of China (Grant No.gxyqZD2020077).

摘要/Abstract

摘要： Different from the common delayed synchronization (DS) in which response appears after stimulation, anticipated synchronization (AS) in unidirectionally coupled neurons denotes a counterintuitive phenomenon in which response of the receiver neuron appears before stimulation of the sender neuron, showing an interesting function of brain to anticipate the future. The dynamical mechanism for the AS remains unclear due to complex dynamics of inhibitory and excitatory modulations. In this article, the paradoxical roles of excitatory synapse and inhibitory autapse in the formation of AS are acquired. Firstly, in addition to the common roles such that inhibitory modulation delays and excitatory modulation advances spike, paradoxical roles of excitatory stimulation to delay spike via type-Ⅱ phase response and of inhibitory autapse to advance spike are obtained in suitable parameter regions, extending the dynamics and functions of the excitatory and inhibitory modulations. Secondly, AS is related to the paradoxical roles of the excitatory and inhibitory modulations, presenting deep understandings to the AS. Inhibitory autapse induces spike of the receiver neuron advanced to appear before that of the sender neuron at first, and then excitatory synapse plays a delay role to prevent the spike further advanced, resulting in the AS as the advance and delay effects realize a dynamic balance. Lastly, inhibitory autapse with strong advance, middle advance, and weak advance and delay effects induce phase drift (spike of the receiver neuron advances continuously), AS, and DS, respectively, presenting comprehensive relationships between AS and other behaviors. The results present potential measures to modulate AS related to brain function.

关键词: anticipated synchronization, inhibitory autapse, excitatory synapse, paradoxical firing

Abstract: Different from the common delayed synchronization (DS) in which response appears after stimulation, anticipated synchronization (AS) in unidirectionally coupled neurons denotes a counterintuitive phenomenon in which response of the receiver neuron appears before stimulation of the sender neuron, showing an interesting function of brain to anticipate the future. The dynamical mechanism for the AS remains unclear due to complex dynamics of inhibitory and excitatory modulations. In this article, the paradoxical roles of excitatory synapse and inhibitory autapse in the formation of AS are acquired. Firstly, in addition to the common roles such that inhibitory modulation delays and excitatory modulation advances spike, paradoxical roles of excitatory stimulation to delay spike via type-Ⅱ phase response and of inhibitory autapse to advance spike are obtained in suitable parameter regions, extending the dynamics and functions of the excitatory and inhibitory modulations. Secondly, AS is related to the paradoxical roles of the excitatory and inhibitory modulations, presenting deep understandings to the AS. Inhibitory autapse induces spike of the receiver neuron advanced to appear before that of the sender neuron at first, and then excitatory synapse plays a delay role to prevent the spike further advanced, resulting in the AS as the advance and delay effects realize a dynamic balance. Lastly, inhibitory autapse with strong advance, middle advance, and weak advance and delay effects induce phase drift (spike of the receiver neuron advances continuously), AS, and DS, respectively, presenting comprehensive relationships between AS and other behaviors. The results present potential measures to modulate AS related to brain function.

Key words: anticipated synchronization, inhibitory autapse, excitatory synapse, paradoxical firing

中图分类号: (Neural networks and synaptic communication)

87.18.Sn

87.19.lm (Synchronization in the nervous system)

Xue-Li Ding(丁学利), Hua-Guang Gu(古华光), Yu-Ye Li(李玉叶), and Yan-Bing Jia(贾雁兵). Paradoxical roles of inhibitory autapse and excitatory synapse in formation of counterintuitive anticipated synchronization[J]. 中国物理B, 2023, 32(8): 88701-088701.

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Paradoxical roles of inhibitory autapse and excitatory synapse in formation of counterintuitive anticipated synchronization

Paradoxical roles of inhibitory autapse and excitatory synapse in formation of counterintuitive anticipated synchronization

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