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Mathematical Model with Autoregressive Process for Electrocardiogram Signals

Research paper by Ronaldo M Evaristo, Antonio M Batista, Ricardo L Viana, Kelly C Iarosz, José D Szezech, Moacir F de Godoy

Indexed on: 21 Mar '17Published on: 21 Mar '17Published in: arXiv - Physics - Computational Physics



Abstract

The cardiovascular system is composed of the heart, blood and blood vessels. Regarding the heart, cardiac conditions are determined by the electrocardiogram, that is a noninvasive medical procedure. In this work, we propose autoregressive process in a mathematical model based on coupled differential equations in order to model electrocardiogram signals. Our results are compared with experimental tachogram by means of Poincar\'e plot and dentrended fluctuation analysis. We verify that the results from the model with autoregressive process show good agreement with experimental measures from tachogram generated by electrical activity of the heartbeat. With the tachogram we build the electrocardiogram by means of coupled differential equations.