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Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA


Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania


Using RQA for evaluating heart rate patterns under controlled breathing

Discontinuity, Nonlinearity, and Complexity 7(2) (2018) 151--163 | DOI:10.5890/DNC.2018.06.004

Guênia Ladeira$^{1}$; Luís Cláudio Oliveira-Lopes$^{2}$; Gabriela V. Lima$^{3}$

$^{1}$ Federal University of Uberlândia, Mechanical Engineer

$^{2}$ Federal University of Uberlândia, Chemical Engineer

$^{3}$ Federal University of Uberlândia, Electrical Engineer

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In this work, the variation of time and amplitude of the electrical stimulation of the heart muscle is analyzed during respiratory control exercise, effect of the autonomic nervous system. The specifics are verified by recurrence plot, and recurrence quantification analysis. The analysis revealed distinguished behavior of the electrical stimulation of the heart. And, the cross recurrence between the variations of amplitude and time demonstrated the equilibrium relationship in the cardiac cycles, which are accentuated in the exercise of concentration.


The authors would like to thank CAPES and CNPq for financial support, the Faculdade de Engenharia Mecânica of Universidade Federal of Uberlândia, in special the Laboratório de Projetos Mecânicos (LPM) which allowed the development of the work, and also by the help with the methodology of recurrence quantification analysis to professor Iberê Luiz Caldas and Zwinglio Guimarães-Filho of Instituto de Física of Universidade de São Paulo.


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