Summary

International Symposium on Nonlinear Theory and its Applications

2009

Session Number:B2L-A

Session:

Number:B2L-A5

Analysis of Bifurcations and Variabilities of Rhythm in a Cardiac Pacemaker Cell Model

Zhenxing Pan,  Rei Yamaguchi,  Shinji Doi,  

pp.-

Publication Date:2009/10/18

Online ISSN:2188-5079

DOI:10.34385/proc.43.B2L-A5

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Summary:
A heart generates electrical signals (action potentials) in the sinoatrial node (cardiac pacemaker) and propagates them to the whole heart. Since the electrical signals control contraction and relaxation of the heart, the abnormalities of rhythm (frequency of action potential generation) in the sinoatrial node cause serious arrhythmia such as sinus tachycardia. In order to analyze variabilities of rhythm, we use the Yanagihara-Noma-Irisawa (YNI) model of sinoatrial-node cells, which is described by the Hodgkin-Huxley-type equations with seven variables. In this paper, we focus mainly on the variabilities of rhythm and analyze the global bifurcation structure of the YNI model by varying various conductances of ion channels.