中国物理B ›› 2022, Vol. 31 ›› Issue (7): 70506-070506.doi: 10.1088/1674-1056/ac4a63

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Negative self-feedback induced enhancement and transition of spiking activity for class-3 excitability

Li Li(黎丽)1, Zhiguo Zhao(赵志国)2,†, and Huaguang Gu(古华光)3   

  1. 1 Guangdong Key Laboratory of Modern Control Technology, Institute of Intelligent Manufacturing, Guangdong Academy of Sciences, Guangzhou 510070, China;
    2 School of Science, Henan Institute of Technology, Xinxiang 453003, China;
    3 School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China
  • 收稿日期:2021-10-26 修回日期:2022-01-01 接受日期:2022-01-12 出版日期:2022-06-09 发布日期:2022-06-13
  • 通讯作者: Zhiguo Zhao E-mail:zzg164637758@163.com
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11802085, 11872276, and 12072236), the Science and Technology Project of Guangzhou (Grant No. 202102021167), GDAS' Project of Science and Technology Development (Grant No. 2021GDASYL-20210103088), and the Science and Technology Development Program of Henan Province, China (Grant No. 212102310827).

Negative self-feedback induced enhancement and transition of spiking activity for class-3 excitability

Li Li(黎丽)1, Zhiguo Zhao(赵志国)2,†, and Huaguang Gu(古华光)3   

  1. 1 Guangdong Key Laboratory of Modern Control Technology, Institute of Intelligent Manufacturing, Guangdong Academy of Sciences, Guangzhou 510070, China;
    2 School of Science, Henan Institute of Technology, Xinxiang 453003, China;
    3 School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China
  • Received:2021-10-26 Revised:2022-01-01 Accepted:2022-01-12 Online:2022-06-09 Published:2022-06-13
  • Contact: Zhiguo Zhao E-mail:zzg164637758@163.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11802085, 11872276, and 12072236), the Science and Technology Project of Guangzhou (Grant No. 202102021167), GDAS' Project of Science and Technology Development (Grant No. 2021GDASYL-20210103088), and the Science and Technology Development Program of Henan Province, China (Grant No. 212102310827).

摘要: Post-inhibitory rebound (PIR) spike, which has been widely observed in diverse nervous systems with different physiological functions and simulated in theoretical models with class-2 excitability, presents a counterintuitive nonlinear phenomenon in that the inhibitory effect can facilitate neural firing behavior. In this study, a PIR spike induced by inhibitory stimulation from the resting state corresponding to class-3 excitability that is not related to bifurcation is simulated in the Morris-Lecar neuron. Additionally, the inhibitory self-feedback mediated by an autapse with time delay can evoke tonic/repetitive spiking from phasic/transient spiking. The dynamical mechanism for the PIR spike and the tonic/repetitive spiking is acquired with the phase plane analysis and the shape of the quasi-separatrix curve. The result extends the counterintuitive phenomenon induced by inhibition to class-3 excitability, which presents a potential function of inhibitory autapse and class-3 neuron in many neuronal systems such as the auditory system.

关键词: post-inhibitory rebound spike, class 3 excitability, inhibitory autapse, neuronal firing

Abstract: Post-inhibitory rebound (PIR) spike, which has been widely observed in diverse nervous systems with different physiological functions and simulated in theoretical models with class-2 excitability, presents a counterintuitive nonlinear phenomenon in that the inhibitory effect can facilitate neural firing behavior. In this study, a PIR spike induced by inhibitory stimulation from the resting state corresponding to class-3 excitability that is not related to bifurcation is simulated in the Morris-Lecar neuron. Additionally, the inhibitory self-feedback mediated by an autapse with time delay can evoke tonic/repetitive spiking from phasic/transient spiking. The dynamical mechanism for the PIR spike and the tonic/repetitive spiking is acquired with the phase plane analysis and the shape of the quasi-separatrix curve. The result extends the counterintuitive phenomenon induced by inhibition to class-3 excitability, which presents a potential function of inhibitory autapse and class-3 neuron in many neuronal systems such as the auditory system.

Key words: post-inhibitory rebound spike, class 3 excitability, inhibitory autapse, neuronal firing

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
87.19.lg (Synapses: chemical and electrical (gap junctions))