Abstract
Although the bursting patterns with spike undershoot are involved with the achievement of physiological or cognitive functions of brain with synaptic noise, noise induced-coherence resonance (CR) from resting state or subthreshold oscillations instead of bursting has been widely identified to play positive roles in information process. Instead, in the present paper, CR characterized by the increase firstly and then decease of peak value of power spectrum of spike trains is evoked from a bursting pattern with spike undershoot, which means that the minimal membrane potential within burst is lower than that of the subthreshold oscillations between bursts, while CR cannot be evoked from the bursting pattern without spike undershoot. With bifurcations and fast-slow variable dissection method, the bursting patterns with and without spike undershoot are classified into “Sub-Hopf/Fold” bursting and “Fold/Homoclinic” bursting, respectively. For the bursting with spike undershoot, the trajectory of the subthreshold oscillations is very close to that of the spikes within burst. Therefore, noise can induce more spikes from the subthreshold oscillations and modulate the bursting regularity, which leads to the appearance of CR. For the bursting pattern without spike undershoot, the trajectory of the quiescent state is not close to that of the spikes within burst, and noise cannot induce spikes from the quiescent state between bursts, which is cause for non-CR. The result provides a novel case of CR phenomenon and extends the scopes of CR concept, presents that noise can enhance rather than suppress information of the bursting patterns with spike undershoot, which are helpful for understanding the dynamics and the potential physiological or cognitive functions of the nerve fiber or brain neurons with such bursting patterns.
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Acknowledgements
This work was supported by the National Natural Science Foundation of China under Grant Nos. 11872276 and 11572225, and 11762001.
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HG conceived the experiments, BC, RW, HG, and YL conducted the experiments, HG, BC, RW, and YL analyzed the results, BC and HG written the paper. All authors reviewed the manuscript.
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Cao, B., Wang, R., Gu, H. et al. Coherence resonance for neuronal bursting with spike undershoot. Cogn Neurodyn 15, 77–90 (2021). https://doi.org/10.1007/s11571-020-09595-5
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DOI: https://doi.org/10.1007/s11571-020-09595-5