Eventos Anais de eventos
COBEM 2021
26th International Congress of Mechanical Engineering
HEART RHYTHMS DRIVEN BY CHAOTIC PACEMAKER RESPONSES
Submission Author:
Augusto Luiz Cheffer de Melo , RJ
Co-Authors:
Augusto Luiz Cheffer de Melo, Marcelo Savi
Presenter: Augusto Luiz Cheffer de Melo
doi://10.26678/ABCM.COBEM2021.COB2021-0979
Abstract
Biological rhythms represent one of the most important manifestations of natural systems, which can exhibit regular or irregular dynamical behaviors and can be related to normal or pathological functioning. In this context, a dynamical analysis can establish relations between responses characteristics and biological functioning. This work performs a dynamical analysis of heart rhythms by using a mathematical model that considers the coupling of three nonlinear oscillators in order to represent electrical activity and is able to generate electrocardiograms (ECG) of several well-known clinical behaviors. The main idea of the study is investigating natural pacemaker responses and its influences on heart activity, giving special attention to chaotic situations. Nonlinear dynamics tools as bifurcation diagrams, Poincare Maps and Lyapunov exponents are applied. Bifurcations analysis are developed for natural pacemaker and chaotic responses, confirmed by Lyapunov exponents, are selected to drive cardiac system model. A great variety of ECG behaviors is obtained and are revealed relevant cardiac arrhythmias as branch blocks and junctional tachycardia that may lead to dangerous rhythms, and P and T waves alternations, used as clinical markers.
Keywords
nonlinear dynamics, cardiac rhythms, chaos, DDEs, poincaré maps
