Proceeding of International Conference
Michiru Katayama, Tetsushi Ueta, Interactions among nodal connections of the stimulus conduction system, as observed from a two-dimensional bifurcation diagram of the ECG model, Institute of Electronics, Information and Communication Engineers, Proc. NOLTA2024, pp.431-434, Ha Long, Vietnam, Dec. 2024.
Abstract: The electrocardiogram (ECG) model is a mathematicalmodel that expresses the membrane potentialsof three major nodes and fibers in the stimulus conductionsystem using modified BVP oscillators proposed byGrudzi´nski- Zebrowski. The ECG waveform, composed ofthe composite waveform of these three modified BVP oscillators,is known to reproduce the waveform of seriousarrhythmias such as ventricular fibrillation under certainparameters. Previous studies have individually reduced theparameters of each inter-node coupling and observed thetransition to arrhythmia. However, they have not consideredwhat happens when these parameters are reduced simultaneously,which is the dependency of the stable state onthe vector of inter-node coupling coefficients. In this study,we investigate the dependency of the vector of inter-nodecoupling coefficients on the stability of ECG waveforms byobtaining a two-dimensional bifurcation diagram. Our resultsindicate that the coupling coefficients between nodes,when considered as a vector, are not independent of the stabilityof the ECG waveform; rather, these couplings supporteach other to maintain waveform stability.