Summary
International Symposium on Nonlinear Theory and Its Applications
2016
Session Number:A4L-F
Session:
Number:A4L-F-7
Discordant Alternans and Codimension-Three Bifurcations in Coupled Luo-Rudy Models
Hiroyuki Kitajima, Toru Yazawa,
pp.-
Publication Date:2016/11/27
Online ISSN:2188-5079
Summary:
Electrical alternans is the alternating amplitude from beat to beat in the action potential of the cardiac cell. It has been associated with ventricular arrhythmias in many clinical studies; however, its dynamical mechanisms remain unknown. The reason is that we do not have realistic network models of the heart system. Recently, Yazawa clarified the network structure of the heart and the central nerve system in the crustacean heart. In this study, we construct a simple model of the heart system based on Yazawa's experimental data. Using this model, we clarify that two parameters (the conductance of sodium ions and free concentration of potassium ions in the extracellular compartment) play the key roles of generating alternans. In particular, we clarify that the inactivation gate of the time-independent potassiumchannel is the most important parameter. Moreover, interaction between the membrane potential and potassium ionic currents is significant for generating alternate rhythms. This result indicates that if the muscle cell has problems such as channelopathies, there is great risk of generating alternans.