Application of the chaotic power law to the study of cardiac dynamics in patients with arrhythmias

Javier Rodríguez-Velásquez; Signed Prieto; Darío Domínguez; Catalina Correa; Martha Melo; Juan Pardo; Fernán Mendoza; Ligia Victoria Rodríguez; Diana Margarita Cardona; Laura Méndez

doi:10.15446/revfacmed.v62n4.43444

Application of the chaotic power law to the study of cardiac dynamics in patients with arrhythmias

Título traducido de la contribución: Aplicación de la ley exponencial caótica al estudio de la dinámica cardíaca de pacientes con arritmias

Javier Rodríguez-Velásquez, Signed Prieto, Darío Domínguez, Catalina Correa, Martha Melo, Juan Pardo, Fernán Mendoza, Ligia Victoria Rodríguez, Diana Margarita Cardona, Laura Méndez

Resultado de la investigación: Contribución a una revista › Artículo › revisión exhaustiva

11 Citas (Scopus)

Resumen

Resumen

Antecedentes. Se ha encontrado una ley exponencial para los sistemas dinámicos caóticos cardíacos que logra cuantificar las diferencias entre dinámicas cardíacas normales y aquellas con enfermedad aguda, así como la evolución entre estos estados.

Objetivo. Confirmar la aplicabilidad clínica de la metodología desarrollada a partir de la ley matemática para la dinámica cardiaca en dinámicas con arritmia.

Materiales y métodos. Se analizaron 60 holter, 10 correspondían a sujetos normales y 50 con diferentes tipos de arritmias. Para cada holter se construyó un atractor, se midió su dimensión fractal y ocupación espacial. Se aplicó la evaluación matemática para diferenciar dinámicas cardíacas normales de enfermas y en proceso de evolución. Se calculó la sensibilidad, especificidad y coeficiente Kappa.

Resultados. La evaluación matemática diferenció los espacios de ocupación, normalidad, enfermedad aguda y evolución entre estos estados. Los valores de sensibilidad y especificidad fueron de 100% y el coeficiente Kappa fue de 1.

Conclusiones. Se evidenció la aplicabilidad clínica de la metodología para casos con arritmias, siendo capaz de detectar cambios en la dinámica que no son clasificados como patológicos clínicamente.

Título traducido de la contribución	Aplicación de la ley exponencial caótica al estudio de la dinámica cardíaca de pacientes con arritmias
Idioma original	Inglés estadounidense
Páginas (desde-hasta)	539-546
Número de páginas	8
Publicación	Revista Facultad de Medicina
Volumen	62
N.º	4
DOI	https://doi.org/10.15446/revfacmed.v62n4.43444
Estado	Publicada - ene. 1 2014
Publicado de forma externa	Sí

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@article{3911c178a8894606ab5312671f840a64,

title = "Application of the chaotic power law to the study of cardiac dynamics in patients with arrhythmias",

abstract = "{\textcopyright} 2014, Universidad Nacional de Colombia. All rights reserved.Background. An exponential law for chaotic cardiac dynamics, found previously, allows the quantification of the differences between normal cardiac dynamics and those with acute diseases, as well as the cardiac dynamics of the evolution between these states. Objective. To confirm the clinical applicability of the developed methodology through the mathematical law for cardiac dynamics in dynamics with arrhythmias. Materials and methods. 60 Holter electrocardiograms were analyzed, 10 corresponded to normal subjects, and 50 to subjects with different arrhythmias. For each Holter, an attractor was performed, and its fractal dimension and spatial occupancy were measured. A mathematical evaluation was applied in order to differentiate normal dynamics from pathological ones. Sensitivity, specificity and the Kappa coefficient were calculated. Results. The mathematical evaluation differentiated occupation spaces, normal dynamics, acute illness dynamics, and evolution between these states. The sensitivity and specificity values were 100%, and the Kappa coefficient was 1. Conclusions. The clinical applicability of the methodology for cases with arrhythmia was shown. It is also applicable for the detection of changes in dynamics that are not classified clinically as pathological.",

author = "Javier Rodr{\'i}guez-Vel{\'a}squez and Signed Prieto and Dar{\'i}o Dom{\'i}nguez and Catalina Correa and Martha Melo and Juan Pardo and Fern{\'a}n Mendoza and {Victoria Rodr{\'i}guez}, Ligia and Cardona, {Diana Margarita} and Laura M{\'e}ndez",

year = "2014",

month = jan,

day = "1",

doi = "10.15446/revfacmed.v62n4.43444",

language = "English (US)",

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pages = "539--546",

journal = "Revista de la Facultad de Medicina",

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publisher = "Universidad Nacional de Colombia",

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TY - JOUR

T1 - Application of the chaotic power law to the study of cardiac dynamics in patients with arrhythmias

AU - Rodríguez-Velásquez, Javier

AU - Prieto, Signed

AU - Domínguez, Darío

AU - Correa, Catalina

AU - Melo, Martha

AU - Pardo, Juan

AU - Mendoza, Fernán

AU - Victoria Rodríguez, Ligia

AU - Cardona, Diana Margarita

AU - Méndez, Laura

PY - 2014/1/1

Y1 - 2014/1/1

N2 - © 2014, Universidad Nacional de Colombia. All rights reserved.Background. An exponential law for chaotic cardiac dynamics, found previously, allows the quantification of the differences between normal cardiac dynamics and those with acute diseases, as well as the cardiac dynamics of the evolution between these states. Objective. To confirm the clinical applicability of the developed methodology through the mathematical law for cardiac dynamics in dynamics with arrhythmias. Materials and methods. 60 Holter electrocardiograms were analyzed, 10 corresponded to normal subjects, and 50 to subjects with different arrhythmias. For each Holter, an attractor was performed, and its fractal dimension and spatial occupancy were measured. A mathematical evaluation was applied in order to differentiate normal dynamics from pathological ones. Sensitivity, specificity and the Kappa coefficient were calculated. Results. The mathematical evaluation differentiated occupation spaces, normal dynamics, acute illness dynamics, and evolution between these states. The sensitivity and specificity values were 100%, and the Kappa coefficient was 1. Conclusions. The clinical applicability of the methodology for cases with arrhythmia was shown. It is also applicable for the detection of changes in dynamics that are not classified clinically as pathological.

AB - © 2014, Universidad Nacional de Colombia. All rights reserved.Background. An exponential law for chaotic cardiac dynamics, found previously, allows the quantification of the differences between normal cardiac dynamics and those with acute diseases, as well as the cardiac dynamics of the evolution between these states. Objective. To confirm the clinical applicability of the developed methodology through the mathematical law for cardiac dynamics in dynamics with arrhythmias. Materials and methods. 60 Holter electrocardiograms were analyzed, 10 corresponded to normal subjects, and 50 to subjects with different arrhythmias. For each Holter, an attractor was performed, and its fractal dimension and spatial occupancy were measured. A mathematical evaluation was applied in order to differentiate normal dynamics from pathological ones. Sensitivity, specificity and the Kappa coefficient were calculated. Results. The mathematical evaluation differentiated occupation spaces, normal dynamics, acute illness dynamics, and evolution between these states. The sensitivity and specificity values were 100%, and the Kappa coefficient was 1. Conclusions. The clinical applicability of the methodology for cases with arrhythmia was shown. It is also applicable for the detection of changes in dynamics that are not classified clinically as pathological.

U2 - 10.15446/revfacmed.v62n4.43444

DO - 10.15446/revfacmed.v62n4.43444

M3 - Article

SN - 0120-0011

VL - 62

SP - 539

EP - 546

JO - Revista de la Facultad de Medicina

JF - Revista de la Facultad de Medicina

IS - 4

ER -

Application of the chaotic power law to the study of cardiac dynamics in patients with arrhythmias

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