Coherence-Resonance-Induced Neuronal Firing near a Saddle-Node and Homoclinic Bifurcation Corresponding to Type-I Excitability

Excitability is an essential characteristic of excitable media such as nervous and cardiac systems. Different types of neuronal excitability are related to different bifurcation structures. We simulate the coherence resonance effect near a saddle-node and homoclinic bifurcation corresponding to type...

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Bibliographic Details
Published inChinese physics letters Vol. 28; no. 9; pp. 090507 - 1-090507-4
Main Authors Jia, Bing (冰贾), Gu, Hua-Guang (华光 古), Li, Yu-Ye (玉叶 李)
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.09.2011
Subjects
Bifurcations
Coherence
Dynamical systems
Excitation
Firing
Nervous system
Neurons
Pattern recognition
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ISSN0256-307X
1741-3540
DOI10.1088/0256-307X/28/9/090507

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Summary:Excitability is an essential characteristic of excitable media such as nervous and cardiac systems. Different types of neuronal excitability are related to different bifurcation structures. We simulate the coherence resonance effect near a saddle-node and homoclinic bifurcation corresponding to type-I excitability in a theoretical neuron model, and recognize the obvious features of the corresponding firing pattern. Similar firing patterns are discovered in rat hippocampal CA1 pyramidal neurons. The results are not only helpful for understanding the dynamics of the saddle-node bifurcation and type-I excitability in a realistic nervous system, but also provide a practical indicator to identify types of excitability and bifurcation.
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ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/28/9/090507