Mathematical law of cardiac dynamic systems: reduction of its evaluation time to 18 hours
Introduction: Previously, a physical-mathematical law was developed for the evaluation of continuous electrocardiographic and Holter registers, with which all cardiac attractors were deduced and normality, pathological states and evolution between states were differentiated. Method: There were taken...
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Universidad Nacional Cba. Facultad de Ciencias Médicas. Secretaria de Ciencia y Tecnología
2021
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| Acceso en línea: | https://revistas.unc.edu.ar/index.php/med/article/view/25353 |
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I10-R10-article-25353 |
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ojs |
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Universidad Nacional de Córdoba |
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Revistas de la UNC |
| language |
Español |
| format |
Artículo revista |
| topic |
non-linear systems diagnosis ambulatory electrocardiography fractals fractais sistemas não lineares diagnóstico electrocardiografia ambulatória |
| spellingShingle |
non-linear systems diagnosis ambulatory electrocardiography fractals fractais sistemas não lineares diagnóstico electrocardiografia ambulatória Rodríguez Velásquez, Javier Oswaldo Correa Herrera, Sandra Catalina Pizano, Alejandro Ronderos, Miguel Alberto Prieto Bohórquez, Signed Esperanza Godoy, Carol Rojas, Juan Alexander Benitez, Juan Rodríguez Correa, Dharma Avilan, Eliana Mathematical law of cardiac dynamic systems: reduction of its evaluation time to 18 hours |
| topic_facet |
non-linear systems diagnosis ambulatory electrocardiography fractals fractais sistemas não lineares diagnóstico electrocardiografia ambulatória |
| author |
Rodríguez Velásquez, Javier Oswaldo Correa Herrera, Sandra Catalina Pizano, Alejandro Ronderos, Miguel Alberto Prieto Bohórquez, Signed Esperanza Godoy, Carol Rojas, Juan Alexander Benitez, Juan Rodríguez Correa, Dharma Avilan, Eliana |
| author_facet |
Rodríguez Velásquez, Javier Oswaldo Correa Herrera, Sandra Catalina Pizano, Alejandro Ronderos, Miguel Alberto Prieto Bohórquez, Signed Esperanza Godoy, Carol Rojas, Juan Alexander Benitez, Juan Rodríguez Correa, Dharma Avilan, Eliana |
| author_sort |
Rodríguez Velásquez, Javier Oswaldo |
| title |
Mathematical law of cardiac dynamic systems: reduction of its evaluation time to 18 hours |
| title_short |
Mathematical law of cardiac dynamic systems: reduction of its evaluation time to 18 hours |
| title_full |
Mathematical law of cardiac dynamic systems: reduction of its evaluation time to 18 hours |
| title_fullStr |
Mathematical law of cardiac dynamic systems: reduction of its evaluation time to 18 hours |
| title_full_unstemmed |
Mathematical law of cardiac dynamic systems: reduction of its evaluation time to 18 hours |
| title_sort |
mathematical law of cardiac dynamic systems: reduction of its evaluation time to 18 hours |
| description |
Introduction: Previously, a physical-mathematical law was developed for the evaluation of continuous electrocardiographic and Holter registers, with which all cardiac attractors were deduced and normality, pathological states and evolution between states were differentiated.
Method: There were taken 200 cardiac dynamics, 150 with different types of cardiac pathologies and 50 normal ones, to which the exponential law was applied in 18 and 21 hours. For this, a sequence of heart rates was simulated, with which the chaotic attractor was constructed. Next, the mathematical diagnosis was determined with the law based on the spatial occupation of the attractor, and the fractal dimension was calculated. Finally, statistical validation of the mathematical method in 18 hours was performed against the Gold Standard.
Results: Subjects with normal chaotic cardiac dynamics presented values in the Kp grid between 205 and 384, whereas subjects with pathological dynamics presented values between 61 and 191 in 18 hours. The evaluation of the concordance between the mathematical diagnosis in 18 hours and the conventional evaluation, taken as Gold Standard resulted in sensitivity and specificity values of 100% and a Kappa coefficient of 1.
Conclusion: It was confirmed the clinical capacity of the law to diagnose objectively and with reproducibility in 18 hours. |
| publisher |
Universidad Nacional Cba. Facultad de Ciencias Médicas. Secretaria de Ciencia y Tecnología |
| publishDate |
2021 |
| url |
https://revistas.unc.edu.ar/index.php/med/article/view/25353 |
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I10-R10-article-253532021-11-18T12:43:09Z Mathematical law of cardiac dynamic systems: reduction of its evaluation time to 18 hours Ley matemática de los sistemas dinámicos cardiacos: reducción de su tiempo de evaluación a 18 horas Lei matemática dos sistemas cardíacos dinâmicos: redução do tempo de avaliação para 18 horas Rodríguez Velásquez, Javier Oswaldo Correa Herrera, Sandra Catalina Pizano, Alejandro Ronderos, Miguel Alberto Prieto Bohórquez, Signed Esperanza Godoy, Carol Rojas, Juan Alexander Benitez, Juan Rodríguez Correa, Dharma Avilan, Eliana non-linear systems diagnosis ambulatory electrocardiography fractals fractais sistemas não lineares diagnóstico electrocardiografia ambulatória Introduction: Previously, a physical-mathematical law was developed for the evaluation of continuous electrocardiographic and Holter registers, with which all cardiac attractors were deduced and normality, pathological states and evolution between states were differentiated. Method: There were taken 200 cardiac dynamics, 150 with different types of cardiac pathologies and 50 normal ones, to which the exponential law was applied in 18 and 21 hours. For this, a sequence of heart rates was simulated, with which the chaotic attractor was constructed. Next, the mathematical diagnosis was determined with the law based on the spatial occupation of the attractor, and the fractal dimension was calculated. Finally, statistical validation of the mathematical method in 18 hours was performed against the Gold Standard. Results: Subjects with normal chaotic cardiac dynamics presented values in the Kp grid between 205 and 384, whereas subjects with pathological dynamics presented values between 61 and 191 in 18 hours. The evaluation of the concordance between the mathematical diagnosis in 18 hours and the conventional evaluation, taken as Gold Standard resulted in sensitivity and specificity values of 100% and a Kappa coefficient of 1. Conclusion: It was confirmed the clinical capacity of the law to diagnose objectively and with reproducibility in 18 hours. Introducción: Anteriormente se desarrolló una ley físico-matemática para la evaluación de registros electrocardiográficos continuos y Holters con la cual se dedujo la totalidad atractores cardíacos y se diferenció normalidad, estados patológicos y evolución entre estados. Método: Fueron tomadas 200 dinámicas cardiacas, 150 con diferentes tipos de patologías cardiacas y 50 normales, a las cuales se aplicó la ley exponencial, en 18 y 21 horas. Para ello, se simuló una secuencia de frecuencias cardiacas, con la cual fue construido el atractor caótico. A continuación, se determinó el diagnóstico matemático a partir de la ley, con base en la ocupación espacial del atractor y se calculó la dimensión fractal. Finalmente, se realizó la validación estadística del método matemático en 18 horas frente al Gold Standard. Resultados: Sujetos con dinámicas cardiacas caóticas normales presentaron valores en la rejilla Kp entre 205 y 384, mientras que los sujetos con dinámicas patológicas presentaron valores entre 61 y 191 en 18 horas. La evaluación de la concordancia entre el diagnóstico matemático en 18 horas y la evaluación convencional tomada Gold Standard, dio como resultado valores de sensibilidad y especificidad de 100% y un coeficiente Kappa de 1. Conclusión: Se confirmó la capacidad clínica de la ley para diagnosticar de forma objetiva y reproducible en 18 horas. Introducción: uma lei físico-matemática foi desenvolvida para a avaliação de registros eletrocardiográficos contínuos e Holters com os quais todos os atratores cardíacos foram deduzidos e normalidade, estados patológicos e evolução entre os estados foram diferenciados. Método: foram tomadas 200 dinâmicas cardíacas, 150 com diferentes tipos de patologias cardíacas e 50 normais, às quais foi aplicada a lei exponencial, em 18 e 21 horas. Para isso, foi simulada uma sequência de frequências cardíacas, com a qual foi construído o atrator caótico. Em seguida, o diagnóstico matemático foi determinado a partir da lei, com base na ocupação espacial do atrator e calculada a dimensão fractal. Por fim, a validação estatística do método matemático foi realizada em 18 horas contra o Gold Standard. Resultados: Sujeitos com dinâmica cardíaca caótica normal apresentaram valores na grade de Kp entre 205 e 384, enquanto sujeitos com dinâmica patológica apresentaram valores entre 61 e 191 em 18 horas. A avaliação da concordância entre o diagnóstico matemático em 18 horas e a avaliação convencional feita pelo Gold Standard, resultou em valores de sensibilidade e especificidade de 100% e coeficiente Kappa de 1. Conclusão: A capacidade clínica da lei para diagnosticar de forma objetiva e reprodutível em 18 horas foi confirmada. Universidad Nacional Cba. Facultad de Ciencias Médicas. Secretaria de Ciencia y Tecnología 2021-08-23 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion text/html application/pdf https://revistas.unc.edu.ar/index.php/med/article/view/25353 Revista de la Facultad de Ciencias Médicas de Córdoba.; Vol. 78 No. 3 (2021); 243-248 Revista de la Facultad de Ciencias Médicas de Córdoba; Vol. 78 Núm. 3 (2021); 243-248 Revista da Faculdade de Ciências Médicas de Córdoba; v. 78 n. 3 (2021); 243-248 1853-0605 0014-6722 10.31053/1853.0605.v78.n3 spa https://revistas.unc.edu.ar/index.php/med/article/view/25353/34803 https://revistas.unc.edu.ar/index.php/med/article/view/25353/34805 Derechos de autor 2021 Universidad Nacional de Córdoba http://creativecommons.org/licenses/by-nc/4.0 |