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DINAME2019
DINAME2019
The Use of Poincaré Maps for Diagnosis of Heart Dynamics
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.DINAME2019.DIN2019-0074
Abstract
: Biological rhythms are fundamental for the understanding of the physiological functioning of organisms, being useful in diseases prevention and treatments. This work deals with the cardiac system analysis using a mathematical model composed by three nonlinear oscillators coupled by time-delayed connections. Numerical simulations show a good variety of responses, including normal and pathological rhythms as atrial flutter, atrial fibrillation, ventricular flutter and two different ventricular fibrillation cases. Poincaré maps are employed as a tool to analyze and diagnose cardiac rhythms. Two different approaches are proposed in order to build Poincaré maps. Results show that the model is capable to capture the main behaviors of the cardiac system and that Poincaré maps can be used as a diagnosis tool.
Keywords
nonlinear dynamics, chaos, cardiac rhythms, DDEs, poincaré maps
