Firing patterns of mammalian cortical neuron model(PDF)
《中国医学物理学杂志》[ISSN:1005-202X/CN:44-1351/R]
- Issue:
- 2019年第7期
- Page:
- 846-852
- Research Field:
- 医学生物物理
- Publishing date:
Info
- Title:
- Firing patterns of mammalian cortical neuron model
- Author(s):
- CHENG Yuanfen; LIU Shenquan
- School of Mathematics, South China University of Technology, Guangzhou 510640, China
- Keywords:
- Keywords: neuron model; bifurcation; first Lyapunov coefficient; fast-slow dynamics; electric coupling
- PACS:
- Q424；R312
- DOI:
- DOI:10.3969/j.issn.1005-202X.2019.07.019
- Abstract:
- Abstract: A three-dimensional neuron model which express the characteristics of mammals new cortex is analyzed in this study.
The neuron model is obtained by combining Wilson model and Hindmarsh-Rose model, and its fast variables obey Ohm’s law.
The fast-slow dynamical methods is effective for systematic analysis with large differences in time scales. Hence the fast-slow
dynamics method is adopted and combined with theoretical calculation and numerical simulation to explore the dynamic activity
of the model. As the control parameters change, 3 types of bursting patterns are demonstrated. Furthermore, the first Lyapunov
coefficient of the Hopf bifurcation is calculated, thereby determining whether the Hopf bifurcation is subcritical or supercritical.
Finally, the model is coupled with the classic Morris-Lecar model for analyzing and discussing the effects of coupling strength
and external alternating current stimulation on the coupled system.
Last Update: 2019-07-25