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The nonlinear mechanism for the same responses of neuronal bursting to opposite self-feedback modulations of autapse

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Abstract

In the traditional viewpoint, inhibitory and excitatory effects always induce opposite responses. In the present study, the enhanced bursting activities induced by excitatory autapses, which are consistent with the recent experimental observations, and those induced by inhibitory autapses, which is a paradoxical phenomenon, were simulated using the Chay model. The same bifurcations and different ionic currents for the same responses were acquired with fast-slow variable dissection and current decomposition, respectively. As the inhibitory or excitatory autaptic conductance increased, the ending phase of the burst related to a homoclinic bifurcation of the fast subsystem changed to widen the burst duration to contain more spikes, which was induced by an elevated minimal potential (Vmin) of spiking of the fast subsystem. Larger inhibitory and excitatory autaptic conductances induced smaller and larger maximal potentials (Vmax) of spiking, respectively. During the downstroke, a weaker potassium current induced by the smaller Vmax played a dominant role for the inhibitory autapse, and the stronger potassium current induced by the larger Vmax became weaker due to the opposite autaptic current of the excitatory autapse, which induced the Vmin elevated. The results present the nonlinear and biophysical mechanisms of the same responses to opposite effects, which extends nonlinear dynamics knowledge and provides potential modulation measures for the nervous system.

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Authors and Affiliations

  1. College of Mathematics and Computer Science, Chifeng University, Chifeng, 024000, China

    YuYe Li

  2. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, 200092, China

    HuaGuang Gu & Bing Jia

  3. Department of Physiology and Biophysics, School of Life Sciences, Fudan University, Shanghai, 200438, China

    Bing Jia

  4. Department of Basic Education, Fuyang Institute of Technology, Fuyang, 236031, China

    XueLi Ding

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  1. YuYe Li
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  2. HuaGuang Gu
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  3. Bing Jia
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  4. XueLi Ding
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Correspondence to HuaGuang Gu.

Additional information

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11762001, 11402055 and 11872276), 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).

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Li, Y., Gu, H., Jia, B. et al. The nonlinear mechanism for the same responses of neuronal bursting to opposite self-feedback modulations of autapse. Sci. China Technol. Sci. 64, 1459–1471 (2021). https://doi.org/10.1007/s11431-020-1753-y

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