Mathematical physical diagnosis of neonatal cardiac dynamics based on dynamic systems and fractal geometry: Clinical validation study

A mathematical evaluation of neonatal cardiac dynamics was developed. The purpose of this study is to confirm the diagnostic capacity of this methodology to differentiate normal neonatal cardiac and cardiac pathologies through a blind study. For this, 80 Holter records were taken, 10 with evaluation...

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Autores:: Rodríguez Velásquez, Javier Oswaldo
Páez Páez, Jaime Alberto
Cortés Méndez, Jairo Augusto
Simanca Herrera, Fredys Alberto
Prieto Bohórquez, Signed Esperanza
Castro Fernández, Mario Fernando
Correa Herrera, Sandra Catalina

Tipo de recurso:: Article of journal

Fecha de publicación:: 2020

Institución:: Universidad Cooperativa de Colombia

Repositorio:: Repositorio UCC

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repository_id_str
dc.title.spa.fl_str_mv	Mathematical physical diagnosis of neonatal cardiac dynamics based on dynamic systems and fractal geometry: Clinical validation study
title	Mathematical physical diagnosis of neonatal cardiac dynamics based on dynamic systems and fractal geometry: Clinical validation study
spellingShingle	Mathematical physical diagnosis of neonatal cardiac dynamics based on dynamic systems and fractal geometry: Clinical validation study Sistemas dinamicos Físico matemático Geometría fractal Dynamic systems Mathematical physical Fractal geometry
title_short	Mathematical physical diagnosis of neonatal cardiac dynamics based on dynamic systems and fractal geometry: Clinical validation study
title_full	Mathematical physical diagnosis of neonatal cardiac dynamics based on dynamic systems and fractal geometry: Clinical validation study
title_fullStr	Mathematical physical diagnosis of neonatal cardiac dynamics based on dynamic systems and fractal geometry: Clinical validation study
title_full_unstemmed	Mathematical physical diagnosis of neonatal cardiac dynamics based on dynamic systems and fractal geometry: Clinical validation study
title_sort	Mathematical physical diagnosis of neonatal cardiac dynamics based on dynamic systems and fractal geometry: Clinical validation study
dc.creator.fl_str_mv	Rodríguez Velásquez, Javier Oswaldo Páez Páez, Jaime Alberto Cortés Méndez, Jairo Augusto Simanca Herrera, Fredys Alberto Prieto Bohórquez, Signed Esperanza Castro Fernández, Mario Fernando Correa Herrera, Sandra Catalina
dc.contributor.author.none.fl_str_mv	Rodríguez Velásquez, Javier Oswaldo Páez Páez, Jaime Alberto Cortés Méndez, Jairo Augusto Simanca Herrera, Fredys Alberto Prieto Bohórquez, Signed Esperanza Castro Fernández, Mario Fernando Correa Herrera, Sandra Catalina
dc.subject.spa.fl_str_mv	Sistemas dinamicos Físico matemático Geometría fractal
topic	Sistemas dinamicos Físico matemático Geometría fractal Dynamic systems Mathematical physical Fractal geometry
dc.subject.other.spa.fl_str_mv	Dynamic systems Mathematical physical Fractal geometry
description	A mathematical evaluation of neonatal cardiac dynamics was developed. The purpose of this study is to confirm the diagnostic capacity of this methodology to differentiate normal neonatal cardiac and cardiac pathologies through a blind study. For this, 80 Holter records were taken, 10 with evaluation within the limits of normality and 70 with different cardiac pathologies. The conventional evaluations were masked, and the maximum and minimum heart rates were taken every hour and the number of beats/hours, during 21 hours. These values were used to generate the neonatal cardiac attractor, then their fractal dimension was calculated, their occupation spaces were quantified in the fractal space of Box-Counting, determining their physic mathematical diagnosis. The spaces of occupation of neonatal chaotic cardiac attractors measured according to the number of frames occupied by the Box Counting method, differentiate states of normality from acute pathologies, achieving a sensitivity and specificity of 100%, as well as a kappa coefficient of 1. The This study confirms the diagnostic capacity of the methodology developed, from which it is possible to establish geometric differences between the chaotic attractors of normal neonatal cardiac dynamics and with disease.
publishDate	2020
dc.date.issued.none.fl_str_mv	2020-01
dc.date.accessioned.none.fl_str_mv	2021-01-21T15:10:24Z
dc.date.available.none.fl_str_mv	2021-01-21T15:10:24Z
dc.type.none.fl_str_mv	Artículo
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dc.identifier.issn.spa.fl_str_mv	17426588
dc.identifier.uri.spa.fl_str_mv	https://doi.org/10.1088/1742-6596/1160/1/012020
dc.identifier.uri.none.fl_str_mv	https://hdl.handle.net/20.500.12494/32723
dc.identifier.bibliographicCitation.spa.fl_str_mv	Rodríguez, J.,Paéz. J., Cortes. J., Simanca, F., Prieto, S., Castro, M. y Correa, C. (2019). Mathematical physical diagnosis of neonatal cardiac dynamics based on dynamic systems and fractal geometry: Clinical validation study.Journal of Physics: Conf. Series. doi:10.1088/1742-6596/1160/1/012020
identifier_str_mv	17426588 Rodríguez, J.,Paéz. J., Cortes. J., Simanca, F., Prieto, S., Castro, M. y Correa, C. (2019). Mathematical physical diagnosis of neonatal cardiac dynamics based on dynamic systems and fractal geometry: Clinical validation study.Journal of Physics: Conf. Series. doi:10.1088/1742-6596/1160/1/012020
url	https://doi.org/10.1088/1742-6596/1160/1/012020 https://hdl.handle.net/20.500.12494/32723
dc.relation.isversionof.spa.fl_str_mv	https://iopscience.iop.org/article/10.1088/1742-6596/1160/1/012020/meta
dc.relation.ispartofjournal.spa.fl_str_mv	Journal of Physics: Conference Series
dc.relation.references.spa.fl_str_mv	Devaney R 1992 A first course in chaotic dynamical systems theory and experiments (Reading Mass: Addison-Wesley) Peitgen H. 1992 Chaos and fractals: New frontiers of science (New York: Springer-Verlag) 605-714 Chapter 12 Berntson GG, Bigger JR, Eckberg DL, Grossman P, Kaufmann PG, Malik M et al 1997 Heart rate variability: Origins, methods, and interpretive caveats Psychophysiology 34 623-648 Richards J 1995 Confiabilidad de la arritmia sinusal respiratoria en intervalos RR en recién nacidos de 14, 20 y 26 semanas Comportamiento y Desarrollo Infantil 18 155-161 Rodríguez J 2010 Entropía proporcional de los sistemas dinámicos cardiacos Predicciones físicas y matemáticas de la dinámica cardiaca de aplicación clínica Rev. Colomb. Cardiol. 17 115-129 Rodríguez J, Prieto S, Avilán N, Correa C, Bernal P et al 2008 Nueva metodología física y matemática de evaluación del Holter Rev. Colomb. Cardiol. 15 50-54 Rodríguez J, Prieto S, Correa C, Aguirre G, Medina S, Soracipa M et al 2016 Proporciones de la entropía aplicadas a la unidad de cuidados intensivos: Predicciones en infarto agudo de miocardio Rev. Acad. Colomb. Cienc. Ex. Fis. Nat. 40 192-199 Rodríguez J, Prieto S, Domínguez D, Correa C, Melo M, Pardo J et al 2014 Application of the chaotic power law to cardiac dynamics in patients with arrhythmias Rev. Fac. Med. 62 539-46 Rodríguez J 2015 Dynamical systems applied to dynamic variables of patients from the Intensive Care Unit (ICU) Physical and Mathematical Mortality Predictions on ICU J. Med. Med. Sci. 6 102-108 Rodríguez J, Prieto S, Flórez M, Alarcón C, López R, Aguirre G et al 2014 Physical-mathematical diagnosis of cardiac dynamic on neonatal sepsis: predictions of clinical application J. Med. Med. Sci. 5 102-108 Weiner O and McGrath J 2017 Test-Retest Reliability of Pediatric Heart Rate Variability J. Psychophysiol. 31 6-28 Rodríguez R, Prieto S, Correa C, Flórez M, López R, Alarcón C et al 2016 Nuevo diagnóstico de la dinámica cardiaca neonatal a partir de los sistemas dinámicos y la geometría fractal Revista Cubana de Pediatria 88 266-280 Griffin MP and Moorman JR 2001 Toward the Early Diagnosis of Neonatal Sepsis and Sepsis-Like Illnes using Novel Heart Rate Analisis Pediatrics 107 97-104 Feynman RP, Leighton RB and Sands M 1964 The Feynman lectures on physics 3 (Wilmington: Addison-Wesley) 1-11 Fairchild KD and O’Shea TM 2010 Heart Rate Characteristics: Physiomarkers for Detection of Late-Onset Neonatal Sepsis Clin Perinatol. 37 581-598 Ahmad S, Tejuja A, Newman K, Zarychanski R and Seely A 2009 Clinical review: a review and analysis of heart rate variability and the díagnosis and prognosis of infection Crit. Care. 13 232 Leeuwen PV, Geue D, Lange S, Klein A, Franzen AM, Heller K et al 2012 Relation between neonatal behavioral states and heart rate variability Biomed. Tech. 57 615-618 Rodríguez J, Prieto S, Flórez M, Alarcón M, López R, Aguirre G et al 2014 Sistemas dinámicos cardíacos en neonatos normales: Ley caótica cardíaca neonatal Salud Uninorte 30 359-368 Rodríguez J, Prieto S, Correa C, Bernal P, Puerta G, Vitery S et al 2010 Theoretical generalization of normal and sick coronary arteries with fractal dimensions and the arterial intrinsic mathematical harmony BMC Medical Physics 10 1-6 Velásquez J, Prieto S, Correa C and Melo M 2015 Geometrical nuclear diagnosis and total paths of cervix cell evolution from normality to cancer J. Can. Res. Ther. 11 98-104 Rodríguez J 2008 Teoría de unión al HLA clase II teorías de Probabilidad Combinatoria y Entropía aplicadas a secuencias peptídicas Inmunología 27 151-166 Rodríguez J 2010 Método para la predicción de la dinámica temporal de la malaria en los municipios de Colombia Rev. Panam. Salud Pública 27 211-218 Rodríguez J, Prieto S, Correa C, Pérez C, Mora J, Bravo J et al 2013 Predictions of CD4 lymphocytes’ count in HIV patients from complete blood count BMC Medical Physics 13 3-6 de Salud Ministerio 1993 Resolución Número 8430 de 1993 (Colombia: Ministerio de Salud) Consulted on: https://www.minsalud.gov.co/sites/rid/Lists/BibliotecaDigital/RIDE/DE/DIJ/RESOLUCION-8430-DE-1993.PDF
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dc.publisher.spa.fl_str_mv	Universidad Cooperativa de Colombia, Bogotá, Ingeniería de Sistemas
dc.publisher.program.spa.fl_str_mv	Ingeniería de Sistemas
dc.publisher.place.spa.fl_str_mv	Bogotá
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spelling	Rodríguez Velásquez, Javier OswaldoPáez Páez, Jaime AlbertoCortés Méndez, Jairo AugustoSimanca Herrera, Fredys AlbertoPrieto Bohórquez, Signed EsperanzaCastro Fernández, Mario FernandoCorrea Herrera, Sandra Catalina2021-01-21T15:10:24Z2021-01-21T15:10:24Z2020-0117426588https://doi.org/10.1088/1742-6596/1160/1/012020https://hdl.handle.net/20.500.12494/32723Rodríguez, J.,Paéz. J., Cortes. J., Simanca, F., Prieto, S., Castro, M. y Correa, C. (2019). Mathematical physical diagnosis of neonatal cardiac dynamics based on dynamic systems and fractal geometry: Clinical validation study.Journal of Physics: Conf. Series. doi:10.1088/1742-6596/1160/1/012020A mathematical evaluation of neonatal cardiac dynamics was developed. The purpose of this study is to confirm the diagnostic capacity of this methodology to differentiate normal neonatal cardiac and cardiac pathologies through a blind study. For this, 80 Holter records were taken, 10 with evaluation within the limits of normality and 70 with different cardiac pathologies. The conventional evaluations were masked, and the maximum and minimum heart rates were taken every hour and the number of beats/hours, during 21 hours. These values were used to generate the neonatal cardiac attractor, then their fractal dimension was calculated, their occupation spaces were quantified in the fractal space of Box-Counting, determining their physic mathematical diagnosis. The spaces of occupation of neonatal chaotic cardiac attractors measured according to the number of frames occupied by the Box Counting method, differentiate states of normality from acute pathologies, achieving a sensitivity and specificity of 100%, as well as a kappa coefficient of 1. The This study confirms the diagnostic capacity of the methodology developed, from which it is possible to establish geometric differences between the chaotic attractors of normal neonatal cardiac dynamics and with disease.Introducción. -- Metodología. -- Resultados. -- Discusión. -- Conclusiones. -- Agradecimientoshttps://scienti.minciencias.gov.co/cvlac/visualizador/generarCurriculoCv.do?cod_rh=0000343870https://orcid.org/0000-0001-7239-0763mario.castrof@campusucc.edu.coUniversidad Cooperativa de Colombia, Bogotá, Ingeniería de SistemasIngeniería de SistemasBogotáhttps://iopscience.iop.org/article/10.1088/1742-6596/1160/1/012020/metaJournal of Physics: Conference SeriesDevaney R 1992 A first course in chaotic dynamical systems theory and experiments (Reading Mass: Addison-Wesley)Peitgen H. 1992 Chaos and fractals: New frontiers of science (New York: Springer-Verlag) 605-714 Chapter 12Berntson GG, Bigger JR, Eckberg DL, Grossman P, Kaufmann PG, Malik M et al 1997 Heart rate variability: Origins, methods, and interpretive caveats Psychophysiology 34 623-648Richards J 1995 Confiabilidad de la arritmia sinusal respiratoria en intervalos RR en recién nacidos de 14, 20 y 26 semanas Comportamiento y Desarrollo Infantil 18 155-161Rodríguez J 2010 Entropía proporcional de los sistemas dinámicos cardiacos Predicciones físicas y matemáticas de la dinámica cardiaca de aplicación clínica Rev. Colomb. Cardiol. 17 115-129Rodríguez J, Prieto S, Avilán N, Correa C, Bernal P et al 2008 Nueva metodología física y matemática de evaluación del Holter Rev. Colomb. Cardiol. 15 50-54Rodríguez J, Prieto S, Correa C, Aguirre G, Medina S, Soracipa M et al 2016 Proporciones de la entropía aplicadas a la unidad de cuidados intensivos: Predicciones en infarto agudo de miocardio Rev. Acad. Colomb. Cienc. Ex. Fis. Nat. 40 192-199Rodríguez J, Prieto S, Domínguez D, Correa C, Melo M, Pardo J et al 2014 Application of the chaotic power law to cardiac dynamics in patients with arrhythmias Rev. Fac. Med. 62 539-46Rodríguez J 2015 Dynamical systems applied to dynamic variables of patients from the Intensive Care Unit (ICU) Physical and Mathematical Mortality Predictions on ICU J. Med. Med. Sci. 6 102-108Rodríguez J, Prieto S, Flórez M, Alarcón C, López R, Aguirre G et al 2014 Physical-mathematical diagnosis of cardiac dynamic on neonatal sepsis: predictions of clinical application J. Med. Med. Sci. 5 102-108Weiner O and McGrath J 2017 Test-Retest Reliability of Pediatric Heart Rate Variability J. Psychophysiol. 31 6-28Rodríguez R, Prieto S, Correa C, Flórez M, López R, Alarcón C et al 2016 Nuevo diagnóstico de la dinámica cardiaca neonatal a partir de los sistemas dinámicos y la geometría fractal Revista Cubana de Pediatria 88 266-280Griffin MP and Moorman JR 2001 Toward the Early Diagnosis of Neonatal Sepsis and Sepsis-Like Illnes using Novel Heart Rate Analisis Pediatrics 107 97-104Feynman RP, Leighton RB and Sands M 1964 The Feynman lectures on physics 3 (Wilmington: Addison-Wesley) 1-11Fairchild KD and O’Shea TM 2010 Heart Rate Characteristics: Physiomarkers for Detection of Late-Onset Neonatal Sepsis Clin Perinatol. 37 581-598Ahmad S, Tejuja A, Newman K, Zarychanski R and Seely A 2009 Clinical review: a review and analysis of heart rate variability and the díagnosis and prognosis of infection Crit. Care. 13 232Leeuwen PV, Geue D, Lange S, Klein A, Franzen AM, Heller K et al 2012 Relation between neonatal behavioral states and heart rate variability Biomed. Tech. 57 615-618Rodríguez J, Prieto S, Flórez M, Alarcón M, López R, Aguirre G et al 2014 Sistemas dinámicos cardíacos en neonatos normales: Ley caótica cardíaca neonatal Salud Uninorte 30 359-368Rodríguez J, Prieto S, Correa C, Bernal P, Puerta G, Vitery S et al 2010 Theoretical generalization of normal and sick coronary arteries with fractal dimensions and the arterial intrinsic mathematical harmony BMC Medical Physics 10 1-6Velásquez J, Prieto S, Correa C and Melo M 2015 Geometrical nuclear diagnosis and total paths of cervix cell evolution from normality to cancer J. Can. Res. Ther. 11 98-104Rodríguez J 2008 Teoría de unión al HLA clase II teorías de Probabilidad Combinatoria y Entropía aplicadas a secuencias peptídicas Inmunología 27 151-166Rodríguez J 2010 Método para la predicción de la dinámica temporal de la malaria en los municipios de Colombia Rev. Panam. Salud Pública 27 211-218Rodríguez J, Prieto S, Correa C, Pérez C, Mora J, Bravo J et al 2013 Predictions of CD4 lymphocytes’ count in HIV patients from complete blood count BMC Medical Physics 13 3-6de Salud Ministerio 1993 Resolución Número 8430 de 1993 (Colombia: Ministerio de Salud) Consulted on: https://www.minsalud.gov.co/sites/rid/Lists/BibliotecaDigital/RIDE/DE/DIJ/RESOLUCION-8430-DE-1993.PDFSistemas dinamicosFísico matemáticoGeometría fractalDynamic systemsMathematical physicalFractal geometryMathematical physical diagnosis of neonatal cardiac dynamics based on dynamic systems and fractal geometry: Clinical validation studyArtículohttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionAtribucióninfo:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2PublicationLICENSElicense.txtlicense.txttext/plain; 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Mathematical physical diagnosis of neonatal cardiac dynamics based on dynamic systems and fractal geometry: Clinical validation study

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