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Bifurcations to bursting and spiking in the Chay neuron and their validation in a digital circuit
Chaos, Solitons & Fractals ( IF 7.8 ) Pub Date : 2020-10-18 , DOI: 10.1016/j.chaos.2020.110353
Quan Xu , Xiao Tan , Dong Zhu , Han Bao , Yihua Hu , Bocheng Bao

Due to the great importance of the outward current carried by K+ions and the inward one by Na+ and Ca2+ions in 3-D Chay neuron model, the dynamical behaviors associated with the maximal conductances of K+ions channel and mixed Na+-Ca2+ions channel are explored for better demonstrating dynamical effects on the electrical activities in this paper. By utilizing some common dynamical exploring methods, the representative electrical activities of bursting and spiking behaviors endowed with the fast-slow structure of the 3-D Chay neuron model are revealed and classified on the dependence of the two maximal conductances. Moreover, the bifurcation mechanisms for periodic fold/fold bursting, periodic and chaotic fold/homoclinic bursting, and chaotic spiking behaviors are expounded qualitatively by fast-slow dynamical analysis with some specified model parameters. Finally, based on a field programmable gate array (FPGA), a digitally circuit-implemented electronic neuron is made, from which the chaotic and periodic bursting/spiking behaviors are experimentally captured to confirm the numerical simulations.



中文翻译:

Chay神经元爆发和尖峰的分支及其在数字电路中的验证

由于3-D Chay神经元模型中K +离子携带的外向电流和Na +和Ca 2+离子携带的内向电流非常重要,因此动力学行为与K +离子通道和混合Na的最大电导相关+ -Ca 2+探索离子通道,以更好地证明对电活动的动力学影响。通过使用一些常见的动力学探索方法,揭示了具有代表性的3-D Chay神经元模型的快慢结构的爆发和尖峰行为的电活动,并根据两个最大电导的依赖性对其进行了分类。此外,通过一些特定模型参数的快速慢动力学分析,定性地阐明了周期性褶皱/褶皱爆发,周期性和混沌褶皱/单调爆发以及混沌尖峰行为的分叉机制。最后,基于现场可编程门阵列(FPGA),制造了数字电路实现的电子神经元,

更新日期:2020-10-30
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