Eventos Anais de eventos
COBEM 2021
26th International Congress of Mechanical Engineering
RANDOM MATRIX THEORY APPLIED TO HEART DYNAMICS
Submission Author:
Augusto Luiz Cheffer de Melo , RJ
Co-Authors:
Augusto Luiz Cheffer de Melo, Thiago Ritto, Marcelo Savi
Presenter: Augusto Luiz Cheffer de Melo
doi://10.26678/ABCM.COBEM2021.COB2021-0983
Abstract
A representative and widespread sign of cardiac rhythm is the Electrocardiogram (ECG). It records the heart electrical activity in the form of waves being possible to represent the electrical current in different areas of heart and also comprehend and verify if the response exhibited is normal or pathological. This work deals with an uncertainty modeling on a mathematical model of cardiac system. The model is composed by three-coupled nonlinear oscillators with time-delayed connections. A nonparametric probabilistic modeling, that considers uncertainties also for the mathematical model itself, is proposed by using Random Matrix Theory with matrix blocks. The advantage of this approach is reduce the analysis from eighteen to one parameter. In general, the model is able to capture the main behaviors of the cardiac system and results show that pathological behaviors can evolve from normal rhythms due to coupling variations.
Keywords
nonlinear dynamics, cardiac rhythms, chaos, DDEs, random matrix theory
