Mathematical model with autoregressive process for electrocardiogram signals

Author(s)

Evaristo, Ronaldo M. ^{[1, 2]} ; Batista, Antonio M. ^{[3, 4, 2, 5]} ; Viana, Ricardo L. ^[6] ; Iarosz, Kelly C. ^{[3, 4]} ; Szezech, Jr., Jose D. ^{[2, 5]} ; de Godoy, Moacir F. ^[7]

Affiliation

^[1] Inst Fed Educ Ciencia & Tecnol Parana, Telemaco Borba, PR - Brazil

^[2] Univ Estadual Ponta Grossa, Ciencias, Ponta Grossa, PR - Brazil

^[3] Univ Sao Paulo, Inst Fis, Sao Paulo, SP - Brazil

^[4] Inst Complex Syst & Math Biol, Aberdeen - Scotland

^[5] Univ Estadual Ponta Grossa, Dept Matemat & Estat, Ponta Grossa, PR - Brazil

^[6] Univ Fed Parana, Dept Fis, Curitiba, Parana - Brazil

^[7] Fac Med Sao Jose do Rio Preto, Sao Jose Do Rio Preto, SP - Brazil

• Document type: Journal article
• Source: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION; v. 57, p. 415-421, APR 2018.
• Web of Science Citations: 1

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 obtain the tachograms and the electrocardiogram signals of young adults with normal heartbeats. Our results are compared with experimental tachogram by means of Poincare 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. (C) 2017 Elsevier B.V. All rights reserved. (AU)

• FAPESP's process: 16/16148-5 - Synchronous behaviour and synaptic plasticity in complex networks
• Grantee: Kelly Cristiane Iarosz
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• FAPESP's process: 15/07311-7 - Dynamic behaviour of neural networks
• Grantee: Kelly Cristiane Iarosz
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• FAPESP's process: 11/19296-1 - Nonlinear dynamics
• Grantee: Iberê Luiz Caldas
• Support Opportunities: Research Projects - Thematic Grants