Application of the theory of probability and dynamic systems in the evaluation of cardiac dynamics: Study of diagnostic agreement
In the present work a new methodology was applied, to evaluate the cardiac status in 16 hours, in continuous electrocardiographic records and Holter, this by means of the theory of probability, and the occupation of spaces from attractors in the general space of Box-Counting, of recent development....
- Autores:
-
Rodríguez Velásquez, Javier Oswaldo
Correa, Catalina
Páez Páez, Jaime Alberto
Cortés Méndez, Jairo Augusto
Prieto Bohórquez, Signed Esperanza
Castro Fernández, Mario Fernando
Montenegro Marín, Carlos Enrique
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2019
- Institución:
- Universidad Cooperativa de Colombia
- Repositorio:
- Repositorio UCC
- Idioma:
- OAI Identifier:
- oai:repository.ucc.edu.co:20.500.12494/32635
- Acceso en línea:
- https://doi.org/10.1088/1742-6596/1160/1/012019
https://hdl.handle.net/20.500.12494/32635
- Palabra clave:
- Sistemas dinamicos
Sistema cardiaco
Teoría de la probabilidad
dynamic systems
cardiac dynamics
theory of probability
- Rights
- openAccess
- License
- Atribución
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| dc.title.spa.fl_str_mv |
Application of the theory of probability and dynamic systems in the evaluation of cardiac dynamics: Study of diagnostic agreement |
| title |
Application of the theory of probability and dynamic systems in the evaluation of cardiac dynamics: Study of diagnostic agreement |
| spellingShingle |
Application of the theory of probability and dynamic systems in the evaluation of cardiac dynamics: Study of diagnostic agreement Sistemas dinamicos Sistema cardiaco Teoría de la probabilidad dynamic systems cardiac dynamics theory of probability |
| title_short |
Application of the theory of probability and dynamic systems in the evaluation of cardiac dynamics: Study of diagnostic agreement |
| title_full |
Application of the theory of probability and dynamic systems in the evaluation of cardiac dynamics: Study of diagnostic agreement |
| title_fullStr |
Application of the theory of probability and dynamic systems in the evaluation of cardiac dynamics: Study of diagnostic agreement |
| title_full_unstemmed |
Application of the theory of probability and dynamic systems in the evaluation of cardiac dynamics: Study of diagnostic agreement |
| title_sort |
Application of the theory of probability and dynamic systems in the evaluation of cardiac dynamics: Study of diagnostic agreement |
| dc.creator.fl_str_mv |
Rodríguez Velásquez, Javier Oswaldo Correa, Catalina Páez Páez, Jaime Alberto Cortés Méndez, Jairo Augusto Prieto Bohórquez, Signed Esperanza Castro Fernández, Mario Fernando Montenegro Marín, Carlos Enrique |
| dc.contributor.author.none.fl_str_mv |
Rodríguez Velásquez, Javier Oswaldo Correa, Catalina Páez Páez, Jaime Alberto Cortés Méndez, Jairo Augusto Prieto Bohórquez, Signed Esperanza Castro Fernández, Mario Fernando Montenegro Marín, Carlos Enrique |
| dc.subject.spa.fl_str_mv |
Sistemas dinamicos Sistema cardiaco Teoría de la probabilidad |
| topic |
Sistemas dinamicos Sistema cardiaco Teoría de la probabilidad dynamic systems cardiac dynamics theory of probability |
| dc.subject.other.spa.fl_str_mv |
dynamic systems cardiac dynamics theory of probability |
| description |
In the present work a new methodology was applied, to evaluate the cardiac status in 16 hours, in continuous electrocardiographic records and Holter, this by means of the theory of probability, and the occupation of spaces from attractors in the general space of Box-Counting, of recent development. 20 normal and 80 pathological records were analyzed, according to the conventional diagnosis. A simulation of the totality of the dynamics was made, taking into account the number of beats, and their maximum and minimum frequencies per hour, during 21 hours. With these data the attractors were built in a phase space. The calculation of the fractal dimension of the attractors was made from the evaluation of the spatial occupation of each one of them and through probability of occupation in the Box-Counting space, establishing its diagnosis with previous mathematical results. Finally, taking the conventional diagnosis as Goldstandard, this and the mathematical result were compared. In the states of normality, the probability of occupation values of the attractors was between 0.157 and 0.286, while for the pathological states, it was 0.019 and 0.141, thereby differentiating the normal and pathological states. |
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2019 |
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2019-01 |
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2021-01-19T18:15:48Z |
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2021-01-19T18:15:48Z |
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Artículo |
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17426588 |
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https://doi.org/10.1088/1742-6596/1160/1/012019 |
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https://hdl.handle.net/20.500.12494/32635 |
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Rodríguez, J.,Correa, C., Paéz. J., Cortes. J., Prieto, S., Castro, M. y Montenegro, C. (2019). Application of the theory of probability and dynamic systems in the evaluation of cardiac dynamics: Study of diagnostic agreement. Journal of Physics: Conference Series.https: https://doi.org/10.1088/1742-6596/1160/1/012019 |
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17426588 Rodríguez, J.,Correa, C., Paéz. J., Cortes. J., Prieto, S., Castro, M. y Montenegro, C. (2019). Application of the theory of probability and dynamic systems in the evaluation of cardiac dynamics: Study of diagnostic agreement. Journal of Physics: Conference Series.https: https://doi.org/10.1088/1742-6596/1160/1/012019 |
| url |
https://doi.org/10.1088/1742-6596/1160/1/012019 https://hdl.handle.net/20.500.12494/32635 |
| dc.relation.isversionof.spa.fl_str_mv |
https://iopscience.iop.org/article/10.1088/1742-6596/1160/1/012019 |
| 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 experiment (Boca Raton: CRC Press) Peitgen H. 1992 Chaos and fractals: New frontiers of science (New York: Springer-Verlag) 605-714 Chapter 12 Espiegel M, Schiller J and Srinivasan R 2003 Probabilidad y estadística (Bogotá: Mc Graw Hill) Mood AM, Graybill FA and Boes D 1974 Introduction to the theory of statistics 3 (Singapore: McGrawHill) Feynman RP, Leighton RB and Sands M 1964 The Feynman lectures on physics 1 (Wilmington: Addison-Wesley) 6-1 6-16 Gough N 1992 Fractals, chaos, and fetal heart rate Lancet 339 182-183 Rodríguez J 2012 Nuevo diagnóstico físico y matemático de la monitoria fetal: predicción de aplicación clínica Momento Revista de Física 44 49-65 Denton T, Diamond G et al 1990 Fascinating rhythm: A primer on chaos theory and its application to cardiology Am. Heart J. 6 1419-1440 Rodríguez J, Prieto S, Avilán N, Correa C, Bemal P, Ortiz L et al 2008 Nueva metodología física y matemática de evaluación del Holter Rev. Colomb. Cardiol. 15 50-54 Rodríguez J 2011 Mathematical law of chaotic cardiac dynamic: Predictions of clinic application J. Med. Med. Sci. 2 1050-1059 Pineda M, Matiz H and Rozo R 2002 Enfermedad coronaria (Bogotá: Editorial Kimpres Ltda.) Chen WL, Chen JH, Huang CC, Kuo CD, Huang CI and Lee LS 2008 Heart rate variability measures as predictors of in-hospital mortality in ED patients with sepsis The American Journal of Emergency Medicine 26 395-401 Wu GQ, Arzeno NM, Shen LL, Tang DK, Zheng DA, Zhao NQ et al 2009 Chaotic signatures of heart rate variability and its power spectrum in health, aging and heart failure PLoS ONE 4 e4323 Rodríguez J, Prieto S, Avilán N, Correa C, Bernal P, Ortiz L et al 2008 Nueva metodología física y matemática de evaluación del Holter Rev. Colomb. Cardiol. 15 50-54 Rodríguez J, Prieto S, Correa C, Domínguez D, Pardo JM, Mendoza F et al 2017 Clinical application of a cardiac diagnostic method based on dynamic systems theory Res. J. Cardiol. 10 1-7 Rodríguez J, Narváez R, Prieto S, Correa C, Bernal P, Aguirre G et al 2013 The mathematical law of chaotic dynamics applied to cardiac arrhythmias J. Med. Med. Sci. 4 291-300 Rodríguez J, Prieto S, Flórez M, Alarcón C, López R, Aguirre G, Morales L, Lima L and Méndez L 2014 Physical-mathematical diagnosis of cardiac dynamic on neonatal sepsis: predictions of clinical application J. Med. Med. Sci. 5 102-108 Rodríguez J, Álvarez L, Tapia D, López F, Cardona M, Mora J et al 2012 Evaluación de la dinámica cardiaca de pacientes con arritmia con base en la teoría de la probabilidad Revista Medicina 34 7-16 Rodríguez J, Prieto S, Correa C, Bernal P, Vitery S, Álvarez L et al 2012 Diagnóstico cardiaco basado en la probabilidad aplicado a pacientes con marcapasos Acta Med. Colomb. 37 183-191 Rodríguez J, Prieto S, Domínguez D, Melo M, Mendoza F, Correa C et al 2013 Mathematical-physical prediction of cardiac dynamics using the proportional entropy of dynamic systems J. Med. Med. Sci. 4 370-381 Rodríguez J, Prieto S, Bernal P, Izasa D, Salazar G, Correa C et al 2016 La emergencia de los enfoques de la complejidad en América Latina: desafíos, contribuciones y compromisos para abordar los problemas complejos del siglo XXI 1 ed Leonardo G. Rodríguez Zoya (Buenos Aires: Comunidad Editora Latinoamericana) 315-334 Capítulo XV |
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6 p. |
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Universidad Cooperativa de Colombia, Bogotá, Ingeniería de Sistemas |
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Ingeniería de Sistemas |
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Bogotá |
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Rodríguez Velásquez, Javier OswaldoCorrea, CatalinaPáez Páez, Jaime AlbertoCortés Méndez, Jairo AugustoPrieto Bohórquez, Signed EsperanzaCastro Fernández, Mario FernandoMontenegro Marín, Carlos Enrique 2021-01-19T18:15:48Z2021-01-19T18:15:48Z2019-0117426588https://doi.org/10.1088/1742-6596/1160/1/012019https://hdl.handle.net/20.500.12494/32635Rodríguez, J.,Correa, C., Paéz. J., Cortes. J., Prieto, S., Castro, M. y Montenegro, C. (2019). Application of the theory of probability and dynamic systems in the evaluation of cardiac dynamics: Study of diagnostic agreement. Journal of Physics: Conference Series.https: https://doi.org/10.1088/1742-6596/1160/1/012019In the present work a new methodology was applied, to evaluate the cardiac status in 16 hours, in continuous electrocardiographic records and Holter, this by means of the theory of probability, and the occupation of spaces from attractors in the general space of Box-Counting, of recent development. 20 normal and 80 pathological records were analyzed, according to the conventional diagnosis. A simulation of the totality of the dynamics was made, taking into account the number of beats, and their maximum and minimum frequencies per hour, during 21 hours. With these data the attractors were built in a phase space. The calculation of the fractal dimension of the attractors was made from the evaluation of the spatial occupation of each one of them and through probability of occupation in the Box-Counting space, establishing its diagnosis with previous mathematical results. Finally, taking the conventional diagnosis as Goldstandard, this and the mathematical result were compared. In the states of normality, the probability of occupation values of the attractors was between 0.157 and 0.286, while for the pathological states, it was 0.019 and 0.141, thereby differentiating the normal and pathological states.Introducción. -- Metodología. -- Aspectos éticos. -- Resultados. -- Discusión. -- Conclusiones. -- Agradecimientos. -- Referencias.https://scienti.minciencias.gov.co/cvlac/visualizador/generarCurriculoCv.do?cod_rh=0000343870https://orcid.org/0000-0001-7239-0763mario.castrof@campusucc.edu.co6 p.Universidad Cooperativa de Colombia, Bogotá, Ingeniería de SistemasIngeniería de SistemasBogotáhttps://iopscience.iop.org/article/10.1088/1742-6596/1160/1/012019Journal of Physics: Conference SeriesDevaney R 1992 A first course in chaotic dynamical systems theory and experiment (Boca Raton: CRC Press)Peitgen H. 1992 Chaos and fractals: New frontiers of science (New York: Springer-Verlag) 605-714 Chapter 12Espiegel M, Schiller J and Srinivasan R 2003 Probabilidad y estadística (Bogotá: Mc Graw Hill)Mood AM, Graybill FA and Boes D 1974 Introduction to the theory of statistics 3 (Singapore: McGrawHill)Feynman RP, Leighton RB and Sands M 1964 The Feynman lectures on physics 1 (Wilmington: Addison-Wesley) 6-1 6-16Gough N 1992 Fractals, chaos, and fetal heart rate Lancet 339 182-183Rodríguez J 2012 Nuevo diagnóstico físico y matemático de la monitoria fetal: predicción de aplicación clínica Momento Revista de Física 44 49-65Denton T, Diamond G et al 1990 Fascinating rhythm: A primer on chaos theory and its application to cardiology Am. Heart J. 6 1419-1440Rodríguez J, Prieto S, Avilán N, Correa C, Bemal P, Ortiz L et al 2008 Nueva metodología física y matemática de evaluación del Holter Rev. Colomb. Cardiol. 15 50-54Rodríguez J 2011 Mathematical law of chaotic cardiac dynamic: Predictions of clinic application J. Med. Med. Sci. 2 1050-1059Pineda M, Matiz H and Rozo R 2002 Enfermedad coronaria (Bogotá: Editorial Kimpres Ltda.)Chen WL, Chen JH, Huang CC, Kuo CD, Huang CI and Lee LS 2008 Heart rate variability measures as predictors of in-hospital mortality in ED patients with sepsis The American Journal of Emergency Medicine 26 395-401Wu GQ, Arzeno NM, Shen LL, Tang DK, Zheng DA, Zhao NQ et al 2009 Chaotic signatures of heart rate variability and its power spectrum in health, aging and heart failure PLoS ONE 4 e4323Rodríguez J, Prieto S, Avilán N, Correa C, Bernal P, Ortiz L et al 2008 Nueva metodología física y matemática de evaluación del Holter Rev. Colomb. Cardiol. 15 50-54Rodríguez J, Prieto S, Correa C, Domínguez D, Pardo JM, Mendoza F et al 2017 Clinical application of a cardiac diagnostic method based on dynamic systems theory Res. J. Cardiol. 10 1-7Rodríguez J, Narváez R, Prieto S, Correa C, Bernal P, Aguirre G et al 2013 The mathematical law of chaotic dynamics applied to cardiac arrhythmias J. Med. Med. Sci. 4 291-300Rodríguez J, Prieto S, Flórez M, Alarcón C, López R, Aguirre G, Morales L, Lima L and Méndez L 2014 Physical-mathematical diagnosis of cardiac dynamic on neonatal sepsis: predictions of clinical application J. Med. Med. Sci. 5 102-108Rodríguez J, Álvarez L, Tapia D, López F, Cardona M, Mora J et al 2012 Evaluación de la dinámica cardiaca de pacientes con arritmia con base en la teoría de la probabilidad Revista Medicina 34 7-16Rodríguez J, Prieto S, Correa C, Bernal P, Vitery S, Álvarez L et al 2012 Diagnóstico cardiaco basado en la probabilidad aplicado a pacientes con marcapasos Acta Med. Colomb. 37 183-191Rodríguez J, Prieto S, Domínguez D, Melo M, Mendoza F, Correa C et al 2013 Mathematical-physical prediction of cardiac dynamics using the proportional entropy of dynamic systems J. Med. Med. Sci. 4 370-381Rodríguez J, Prieto S, Bernal P, Izasa D, Salazar G, Correa C et al 2016 La emergencia de los enfoques de la complejidad en América Latina: desafíos, contribuciones y compromisos para abordar los problemas complejos del siglo XXI 1 ed Leonardo G. Rodríguez Zoya (Buenos Aires: Comunidad Editora Latinoamericana) 315-334 Capítulo XVSistemas dinamicosSistema cardiacoTeoría de la probabilidaddynamic systemscardiac dynamicstheory of probabilityApplication of the theory of probability and dynamic systems in the evaluation of cardiac dynamics: Study of diagnostic agreementArtículohttp://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; charset=utf-84334https://repository.ucc.edu.co/bitstreams/c4168e78-7751-4fb5-a3e0-fedc6764bd27/download3bce4f7ab09dfc588f126e1e36e98a45MD5220.500.12494/32635oai:repository.ucc.edu.co:20.500.12494/326352024-08-10 21:00:17.304metadata.onlyhttps://repository.ucc.edu.coRepositorio Institucional Universidad Cooperativa de 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