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A Stochastic Neural Firing Generated at a Hopf Bifurcation and Its Biological Relevance

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Neural Information Processing (ICONIP 2017)

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Abstract

The integer multiple firing patterns, generated in the rabbit depressor baroreceptors under the different static blood pressure, were observed between the resting state and the periodic firing and were characterized to be stochastic but not chaotic by a series of nonlinear time series estimations. These patterns exhibited very similar characteristics to those observed in the experimental neural pacemaker. Using I na,p  + I K models with dynamics of a supercritical Hopf bifurcation, we successfully simulated the bifurcation process of firing patterns and observed the induction of the integer multiple firing patterns by adding noise. The results strongly suggest that the integer multiple firing rhythms generated by rabbit baroreceptors result from the interplay between noise and the system’s dynamics. Because of the important normal physiological function of baroreceptors, the biological significance of noise and the noise-induced firing rhythms at a Hopf bifurcation is interesting to be addressed.

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Acknowledgment

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 Jinan City (201406003), although supported by NSFC (Grant Nos. 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 Nos. J16LN07, J16LBO6, J17KA047), the Shandong Province Key Research and Development Program, China (Grant No. 2016GGX101022).

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Correspondence to Dong Wang .

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Shang, H., Xu, R., Wang, D., Zhou, J., Han, S. (2017). A Stochastic Neural Firing Generated at a Hopf Bifurcation and Its Biological Relevance. In: Liu, D., Xie, S., Li, Y., Zhao, D., El-Alfy, ES. (eds) Neural Information Processing. ICONIP 2017. Lecture Notes in Computer Science(), vol 10637. Springer, Cham. https://doi.org/10.1007/978-3-319-70093-9_58

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  • DOI: https://doi.org/10.1007/978-3-319-70093-9_58

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-70092-2

  • Online ISBN: 978-3-319-70093-9

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