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Chin. Phys. B, 2022, Vol. 31(7): 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 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
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.
Keywords:  post-inhibitory rebound spike      class 3 excitability      inhibitory autapse      neuronal firing  
Received:  26 October 2021      Revised:  01 January 2022      Accepted manuscript online:  12 January 2022
PACS:  05.45.-a (Nonlinear dynamics and chaos)  
  87.19.lg (Synapses: chemical and electrical (gap junctions))  
Fund: 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).
Corresponding Authors:  Zhiguo Zhao     E-mail:

Cite this article: 

Li Li(黎丽), Zhiguo Zhao(赵志国), and Huaguang Gu(古华光) Negative self-feedback induced enhancement and transition of spiking activity for class-3 excitability 2022 Chin. Phys. B 31 070506

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