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Enhancement of coherence resonance induced by inhibitory autapse in Hodgkin–Huxley model
International Journal of Modern Physics B ( IF 1.7 ) Pub Date : 2021-04-30 , DOI: 10.1142/s0217979221501101
Xueli Ding 1 , Bing Jia 2 , Yuye Li 3 , Huaguang Gu 2
Affiliation  

Inhibitory effect often suppresses electronic activities of the nervous system. In this paper, the inhibitory autapse is identified to enhance the degree of coherence resonance (CR) induced by noise in the Hodgkin–Huxley (HH) model with Hopf bifurcation from resting state to spiking with nearly fixed period T2. Without noise, the inhibitory autapse can induce a post inhibitory rebound (PIR) spike from the resting state at time delay approximating T1 and can inhibit a spike of spiking at time delay approximating T2. In the presence of noise, CR characterized by maximal value of power spectrum of spike trains appears in a wide range of both time delay and conductance of autapse. With increasing autaptic conductance, CR degree becomes stronger for time delay approximating T1 plus integer (from 0) multiples of T2, because the inhibitory autaptic current pulses can induce more PIR spikes. The decrease of CR degree at time delay approximating integer (from 1) multiples of T2 can be explained by the inhibition effect. The promotion of coherence resonance degree and the underlying PIR mechanism induced by inhibitory self-feedback extends the paradoxical phenomenon of inhibitory autapse to stochastic system and presents potential measures to modulate CR degree and information processing.

中文翻译:

霍奇金-赫胥黎模型中抑制性自倒闭诱导的相干共振增强

抑制作用常常抑制神经系统的电子活动。在本文中,在 Hodgkin-Huxley (HH) 模型中,通过从静止状态到具有几乎固定周期的尖峰的 Hopf 分岔,确定了抑制性自反射以增强由噪声引起的相干共振 (CR) 程度2. 在没有噪音的情况下,抑制性自动定位可以在时间延迟近似时从静息状态诱导抑制后反弹 (PIR) 尖峰1并且可以在时间延迟近似时抑制尖峰2. 在噪声存在的情况下,以尖峰序列功率谱最大值为特征的CR出现在自感应的较大时延和电导范围内。随着自体电导的增加,时间延迟近似的 CR 程度变得更强1加上整数(从 0 开始)的倍数2,因为抑制性自感应电流脉冲可以诱导更多的 PIR 尖峰。时间延迟近似整数(从 1)倍数时 CR 度的降低2可以用抑制效应来解释。抑制性自反馈引起的相干共振度的提高和潜在的 PIR 机制将抑制性自反的矛盾现象扩展到随机系统,并提出了调节 CR 度和信息处理的潜在措施。
更新日期:2021-04-30
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