Abstract
An irregular on-off like spiking activity is observed in the rat neural pacemaker experiment with the changes of extracellular calcium concentration. The spiking activity is simulated using a minimal model, the stochastic INa,P + I K model. The nonlinear time series analysis on ISI series shows the similar stochastic dynamical features of both experimental and simulated results. The power spectrum and SNR analysis suggests that this spiking activity is the autonomous stochastic resonance induced by noise near a subcritical Hopf bifurcation. Thus, it becomes easy for us to compare different stochastic firing patterns observed in the same experiment and stimulated under one same model. Besides, some deterministic-like characteristics by the analysis results on ISI series were also explained in this paper.
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Acknowledgments
This research was supported by the National Key Research And Development Program of China (No. 2016YFC0106000), the Natural Science Foundation of China(Grant No. 61302128), and the Youth Science and Technology Star Program of **an City (201406003), although supported by NSFC (Grant No. 61573166, 61572230, 61671220, 61640218), the Natural Science Foundation of Shandong Province (ZR2013FL002), the Shandong Distinguished Middle-aged and Young Scientist Encourage and Reward Foundation, China (Grant No. ZR2016FB14), the Project of Shandong Province Higher Educational Science and Technology Program, China (Grant No. J16LN07), the Shandong Province Key Research and Development Program, China (Grant No. 2016GGX101022).
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Shang, H. et al. (2018). Dynamical Analysis of a Stochastic Neuron Spiking Activity in the Biological Experiment and Its Simulation by INa,P + I K Model. In: Huang, T., Lv, J., Sun, C., Tuzikov, A. (eds) Advances in Neural Networks – ISNN 2018. ISNN 2018. Lecture Notes in Computer Science(), vol 10878. Springer, Cham. https://doi.org/10.1007/978-3-319-92537-0_96
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