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Updated: May 10, 2025

Contribution of the Na+/K+ Pump to Rhythmic Bursting, Explored with Modeling and Dynamic Clamp Analyses
Published on: May 9, 2021
A cubic-quadratic phenomenological model explains the spiking, chaotic and bursting behaviors of neuron
Shuihan Qiu1, Yeyuge Chen2, Zengru Di3,2
1School of Science, Jiangsu University of Science and Technology, Zhenjiang, 212100, China. qiushuihan@mail.bnu.edu.cn.
Abstract:
In this manuscript, we present a two-dimensional phenomenological spiking neuron model. By analyzing the bifurcation diagram and phase portraits of the two-dimensional model, Andronov-Hopf bifurcation, saddle-point bifurcation and saddle-point on invariant circle bifurcation are discussed in detail. Based on the above analysis, a periodic input current is designed to simulate the basic firing mode of a single neuron. With the change of the input current frequency, the model can reproduce rich dynamical behaviors such as spike, bursts, and chaos.
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