Diagnostic methodology for the neonatal cardiac system based on dynamic systems

Fractal geometry and nonlinear systems have shown to be useful to diagnose and predict the behavior of cardiac dynamics in adults with promising applications, but studies in neonates are lacking. The objective of this study is to apply a chaotic methodology to diagnose heart dynamics of neonates. 70...

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Autores:
Rodríguez Velásquez, Javier Oswaldo
Páez Páez, Jaime Alberto
Castro Alfaro, Alain
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
Idioma:
OAI Identifier:
oai:repository.ucc.edu.co:20.500.12494/46230
Acceso en línea:
https://hdl.handle.net/20.500.12494/46230
Palabra clave:
Recién nacido
Ritmo cardiaco
Fractal
Sistemas no lineales
Newborn
Heart rate
Fractal
Nonlinear systems
Rights
closedAccess
License
NINGUNA
id COOPER2_ddc64e926248fd18142d5ed10c016c9d
oai_identifier_str oai:repository.ucc.edu.co:20.500.12494/46230
network_acronym_str COOPER2
network_name_str Repositorio UCC
repository_id_str
dc.title.spa.fl_str_mv Diagnostic methodology for the neonatal cardiac system based on dynamic systems
title Diagnostic methodology for the neonatal cardiac system based on dynamic systems
spellingShingle Diagnostic methodology for the neonatal cardiac system based on dynamic systems
Recién nacido
Ritmo cardiaco
Fractal
Sistemas no lineales
Newborn
Heart rate
Fractal
Nonlinear systems
title_short Diagnostic methodology for the neonatal cardiac system based on dynamic systems
title_full Diagnostic methodology for the neonatal cardiac system based on dynamic systems
title_fullStr Diagnostic methodology for the neonatal cardiac system based on dynamic systems
title_full_unstemmed Diagnostic methodology for the neonatal cardiac system based on dynamic systems
title_sort Diagnostic methodology for the neonatal cardiac system based on dynamic systems
dc.creator.fl_str_mv Rodríguez Velásquez, Javier Oswaldo
Páez Páez, Jaime Alberto
Castro Alfaro, Alain
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
Castro Alfaro, Alain
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 Recién nacido
Ritmo cardiaco
Fractal
Sistemas no lineales
topic Recién nacido
Ritmo cardiaco
Fractal
Sistemas no lineales
Newborn
Heart rate
Fractal
Nonlinear systems
dc.subject.other.spa.fl_str_mv Newborn
Heart rate
Fractal
Nonlinear systems
description Fractal geometry and nonlinear systems have shown to be useful to diagnose and predict the behavior of cardiac dynamics in adults with promising applications, but studies in neonates are lacking. The objective of this study is to apply a chaotic methodology to diagnose heart dynamics of neonates. 70 electrocardiographic records were taken from newborn patients, 10 normal and 60 pathological. Then, the minimum and maximum heart rates as well as the number of heartbeats/hour were taken for at least 21 hours; a sequence of heart rates was generated and, based on that sequence, chaotic attractors were constructed. Their fractal dimension was calculated as well as their occupation in the Box-Counting space and the mathematical diagnosis was determined based on the limits established in the induction. A blind study was developed for statistical validation against the Gold Standard diagnosis. It was found that the spatial occupation of neonatal cardiac chaotic attractors in the Box-Counting fractal space allowed the differentiation between normality and disease, reaching the highest values of sensitivity, specificity and diagnostic concordance against Gold Standard. Hence, it is concluded that fractal geometry allows to diagnose and differentiate normal from abnormal heart dynamics of neonates independent of the clinical scenarios, corroborating its utility at clinical level.
publishDate 2020
dc.date.issued.none.fl_str_mv 2020-04-20
dc.date.accessioned.none.fl_str_mv 2021-01-25T15:56:56Z
2022-08-25T21:55:31Z
dc.date.available.none.fl_str_mv 2021-01-25T15:56:56Z
2022-08-25T21:55:31Z
dc.type.none.fl_str_mv Artículo
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dc.identifier.issn.spa.fl_str_mv 00040843
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dc.identifier.bibliographicCitation.spa.fl_str_mv Rodríguez, J., Páez, J., Castro, A., Cortes, J., Simanca, F., Prieto, S., Castro, M., & Correa, S. (2020). Diagnostic methodology for the neonatal cardiac system based on dynamic systems. Artic Journal, 73(3).
identifier_str_mv 00040843
Rodríguez, J., Páez, J., Castro, A., Cortes, J., Simanca, F., Prieto, S., Castro, M., & Correa, S. (2020). Diagnostic methodology for the neonatal cardiac system based on dynamic systems. Artic Journal, 73(3).
url https://hdl.handle.net/20.500.12494/46230
dc.relation.isversionof.none.fl_str_mv https://www.arcticjournal.org/index.html
dc.relation.ispartofjournal.spa.fl_str_mv Artic Journal
dc.relation.references.spa.fl_str_mv Ahmad, S., Tejuja, A., Newman, K., Zarychanski, R., & Seely, A. (2009). Clinical review: a review and analysis of heart rate variability and the diagnosis and prognosis of infection. Crit Care 13, 1- 7.
Arrázola Díaz, A., Valdiris Ávila, V., & Bedoya Marrugo, E. (2017). Preceptos de protección y prevención contra caídas de alturas. Aglala, 8(1), 265-281. https://doi.org/https://doi.org/10.22519/22157360.1035
Bauer, A., Kantelhardt, J. W., Barthel, P., Schneider, R., Mäkikallio, T., Ulm, K…, Schmidt, G. (2006). Deceleration capacity of heart rate as a predictor of mortality after myocardial infarction: cohort study. Lancet, 367, 1674-81.
Buchan, C., Bravi. A., & Seely, A. (2012). Variability Analysis and the Diagnosis, Management, and Treatment of Sepsis. Curr Infect Dis Rep 14, 512-21.
Castro, A., Hoyos, A., Londoño, M. y Mercado, L. (2017). Estudio de marketing para medir la viabilidad comercial de una agencia publicitaria enfocada a pymes en Palmira-Valle del Cauca. Aglala, 8(1), 1-19
Caballero Tovío, A., & Castro Alfaro, A. (2016). Análisis del comportamiento de las variables que determinan el circuito económico en Colombia. Aglala, 7(1), 94-121. doi:10.22519/22157360.975
Castro, Alain. (2018). Economía, salud, desarrollo humano e innovación en el desarrollo sustentable. Conocimiento global 3(1), 1-13. Disponible en http://conocimientoglobal.org/revista/index.php/cglobal/article/view/2
Devaney, R. (1992). A first course in chaotic dynamical systems theory and experiments. New York: Addison Wesley.
Einstein, A. (1983). Principios de física teórica. In: Einstein, A. (ed). Sobre la teoría de la relatividad y otras aportaciones científicas. Madrid: Sarpe, 29-32
Fairchild, K. D., & O'Shea, T., M. (2010). Heart Rate Characteristics: Physiomarkers for Detection of Late-Onset Neonatal Sepsis. Clin Perinatol, 37, 581-98.
Gonçalves, H., Pinto, P., Silva, M., Ayres-de-Campos, D., & Bernardes J. (2016). Toward the improvement in fetal monitoring during labor with the inclusion of maternal heart rate analysis. Med Biol Eng Comput 54, 691-9.
Griffin, M. P., & Moorman, J. R. (2001). Toward the Early Diagnosis of Neonatal Sepsis and Sepsis-Like illness using Novel Heart Rate Analisis. Pediatrics, 107, 97-104
Griffin, M. P., Lake, D. E., & Moorman, J. R. (2005). Heart Rate Characteristics and Laboratory Tests in Neonatal Sepsis. Pediatrics, 115, 937-41.
Harris, P. R. E., Stein, P. K., Fung, G. L., Drew, B. J. (2014). Heart rate variability measured early in patients with evolving acute coronary syndrome and 1-year outcomes of rehospitalization and mortality. Vasc Health Risk Manag, 10, 451–464.
Jerez, G.; Palacios, J. y Castro, A. (2018). Responsabilidad social corporativa generadora de resultados empresariales y fuente de ventaja competitiva: capital intelectual. En J. Perea, J. Palacios y E. Cruz (edits). (pp. 15-42). Colombia: Universidad ECCI.
Kazmi, S. Z. H., Zhang, H, Aziz, W., Monfredi, O., Abbas, S. A., Kazmi, S. S. H., Butt, W. H. (2016). Inverse Correlation between Heart Rate Variability and Heart Rate Demonstrated by Linear and Nonlinear Analysis. PLoS One, 11(6), e0157557.
Lake, D. E., Richman, J. S., Griffin, M. P., & Moorman, J. R. (2002). Sample entropy analysis of neonatal heart rate variability. American Journal of Physiology-Regulatory, Integrative and Comparative Physiology, 283, R789-97.
Leeuwen, P. V., Geue, D., Lange, S., Klein, A., Franzen, A. M., Heller, K., & Grönemeyer, D. (2012). Relation between neonatal behavioral states and heart rate variability. Biomed Tech, 57, 615-8.
Maestri, R., Pinna, G. D., Accardo, A., Allegrini, P., Balocchi, R., D’Addio, G…, Cerutti, S. (2007). Nonlinear indices of heart rate variability in chronic heart failure patients: redundancy and comparative clinical value. J Cardiovasc Electrophysiol 18, 425-33.
Mandelbrot, B. (2000). The fractal geometry of nature. Barcelona: Tusquets Eds S.A
Oliveira, V., von Rosenberg, W., Montaldo, P., Adjei, T., Mendoza, J., Shivamurthappa, V., Mandic, D., & Thayyil S. (2019). Early Postnatal Heart Rate Variability in Healthy Newborn Infants. Front Physiol, 10, 922.
Peitgen, H. (1992). Strange attractors, the locus of chaos. In: Peitgen, H., Jurgens, H., & Saupe D., eds Chaos and Fractals: New Frontiers of Science. New York: Springer-Verlag, 655-768.
Rodríguez, J. (2010a). Entropía Proporcional de los sistemas dinámicos cardiacos: Predicciones físicas y matemáticas de la dinámica cardiaca de aplicación clínica. Rev Colomb Cardiol, 17, 115- 29.
Rodríguez, J. (2010c) Método para la predicción de la dinámica temporal de la malaria en los municipios de Colombia. Rev Panam Salud Pública, 27, 211-8.
Rodríguez, J. (2011). Mathematical law of chaotic cardiac dynamic: Predictions of clinic application. J Med Med Sci, 2, 1050-9.
Rodríguez, J. (2015b). 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, 102-8
Rodríguez, J., Bernal, P., Prieto, S., Correa, C., Álvarez, L., Pinilla, L… Avendaño, O. (2013c). Predicción de unión de péptidos de Plasmodium falciparum al HLA clase II. Probabilidad combinatoria y entropía aplicadas a las proteínas MSP-5 y MSP-6. Archivos de Alergia e Inmunología Clínica, 44, 7-14.
Rodríguez, J., Correa, C., Melo, M., Domínguez, D., Prieto, S., Cardona, DM… Mora J. (2013b). Chaotic cardiac law: Developing predictions of clinical application. J Med Med Sci, 4, 79-84.
Rodríguez, J., Narváez, R., Prieto, S., Correa, C., Bernal, P., Aguirre, G..., Mora J. (2013a). The mathematical law of chaotic dynamics applied to cardiac arrhythmias. J Med Med Sci, 4, 291-300.
Rodríguez, J., Prieto, S., Correa, C., Bernal, P. A., Puerta, G. E., Vitery, S… Muñoz, D. (2010b). Theoretical generalization of normal and sick coronary arteries with fractal dimensions and the arterial intrinsic mathematical harmony. BMC Medical Physics, 10, 1-6.
Rodríguez, J., Prieto, S., Correa, C., Flórez, M., López, R., Alarcón, C…, Valdés C. (2016). Nuevo diagnóstico de la dinámica cardiaca neonatal a partir de los sistemas dinámicos y la geometría fractal. Rev Cubana Pediatr, 88, 266 -80.
Rodríguez, J., Prieto, S., Correa, C., López, R., Flórez, M., Alarcón, C…, Valero, L. (2015a). Metodología diagnóstica de la dinámica cardíaca neonatal mediante la ocupación espacial del atractor caótico. Arch Med (Manizales), 15, 305-19.
Rodríguez, J., Prieto, S., Correa, C., Pérez, C., Mora, J. T., Bravo, J… Álvarez L. F. (2013d). Predictions of CD4 lymphocytes’ count in HIV patients from complete blood count. BMC Medical Physics, 13, 3.
Rodríguez, J., Prieto, S., Flórez, M., Alarcón, C., López, R., Aguirre, G…, Méndez, L. (2014a). Physical- mathematical diagnosis of cardiac dynamic on neonatal sepsis: predictions of clinical application. J Med Med Sci, 5, 102-8.
Rodríguez, J., Prieto, S., Flórez, M., Alarcón, C., López, R., Aguirre, G…, Méndez, L. (2014b). Sistemas dinámicos cardiacos en neonatos normales: Ley caótica cardiaca neonatal. Salud Uninorte, 30, 359-68.
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spelling Rodríguez Velásquez, Javier OswaldoPáez Páez, Jaime AlbertoCastro Alfaro, AlainCortés Méndez, Jairo AugustoSimanca Herrera, Fredys AlbertoPrieto Bohórquez, Signed EsperanzaCastro Fernández, Mario FernandoCorrea Herrera, Sandra Catalina732021-01-25T15:56:56Z2022-08-25T21:55:31Z2021-01-25T15:56:56Z2022-08-25T21:55:31Z2020-04-2000040843https://hdl.handle.net/20.500.12494/46230Rodríguez, J., Páez, J., Castro, A., Cortes, J., Simanca, F., Prieto, S., Castro, M., & Correa, S. (2020). Diagnostic methodology for the neonatal cardiac system based on dynamic systems. Artic Journal, 73(3).Fractal geometry and nonlinear systems have shown to be useful to diagnose and predict the behavior of cardiac dynamics in adults with promising applications, but studies in neonates are lacking. The objective of this study is to apply a chaotic methodology to diagnose heart dynamics of neonates. 70 electrocardiographic records were taken from newborn patients, 10 normal and 60 pathological. Then, the minimum and maximum heart rates as well as the number of heartbeats/hour were taken for at least 21 hours; a sequence of heart rates was generated and, based on that sequence, chaotic attractors were constructed. Their fractal dimension was calculated as well as their occupation in the Box-Counting space and the mathematical diagnosis was determined based on the limits established in the induction. A blind study was developed for statistical validation against the Gold Standard diagnosis. It was found that the spatial occupation of neonatal cardiac chaotic attractors in the Box-Counting fractal space allowed the differentiation between normality and disease, reaching the highest values of sensitivity, specificity and diagnostic concordance against Gold Standard. Hence, it is concluded that fractal geometry allows to diagnose and differentiate normal from abnormal heart dynamics of neonates independent of the clinical scenarios, corroborating its utility at clinical level.Introducción. -- Métodos. -- Resultados. -- Discusión. -- Agradecimientos. -- Referencias.https://scienti.minciencias.gov.co/cvlac/visualizador/generarCurriculoCv.do?cod_rh=0000343870https://orcid.org/0000-0001-7239-0763mario.castrof@campusucc.edu.co10Universidad Cooperativa de Colombia, Bogotá, Ingeniería de SistemasIngeniería de SistemasBogotáhttps://www.arcticjournal.org/index.htmlArtic JournalAhmad, S., Tejuja, A., Newman, K., Zarychanski, R., & Seely, A. (2009). Clinical review: a review and analysis of heart rate variability and the diagnosis and prognosis of infection. Crit Care 13, 1- 7.Arrázola Díaz, A., Valdiris Ávila, V., & Bedoya Marrugo, E. (2017). Preceptos de protección y prevención contra caídas de alturas. Aglala, 8(1), 265-281. https://doi.org/https://doi.org/10.22519/22157360.1035Bauer, A., Kantelhardt, J. W., Barthel, P., Schneider, R., Mäkikallio, T., Ulm, K…, Schmidt, G. (2006). Deceleration capacity of heart rate as a predictor of mortality after myocardial infarction: cohort study. Lancet, 367, 1674-81.Buchan, C., Bravi. A., & Seely, A. (2012). Variability Analysis and the Diagnosis, Management, and Treatment of Sepsis. Curr Infect Dis Rep 14, 512-21.Castro, A., Hoyos, A., Londoño, M. y Mercado, L. (2017). Estudio de marketing para medir la viabilidad comercial de una agencia publicitaria enfocada a pymes en Palmira-Valle del Cauca. Aglala, 8(1), 1-19Caballero Tovío, A., & Castro Alfaro, A. (2016). Análisis del comportamiento de las variables que determinan el circuito económico en Colombia. Aglala, 7(1), 94-121. doi:10.22519/22157360.975Castro, Alain. (2018). Economía, salud, desarrollo humano e innovación en el desarrollo sustentable. Conocimiento global 3(1), 1-13. Disponible en http://conocimientoglobal.org/revista/index.php/cglobal/article/view/2Devaney, R. (1992). A first course in chaotic dynamical systems theory and experiments. New York: Addison Wesley.Einstein, A. (1983). Principios de física teórica. In: Einstein, A. (ed). Sobre la teoría de la relatividad y otras aportaciones científicas. Madrid: Sarpe, 29-32Fairchild, K. D., & O'Shea, T., M. (2010). Heart Rate Characteristics: Physiomarkers for Detection of Late-Onset Neonatal Sepsis. Clin Perinatol, 37, 581-98.Gonçalves, H., Pinto, P., Silva, M., Ayres-de-Campos, D., & Bernardes J. (2016). Toward the improvement in fetal monitoring during labor with the inclusion of maternal heart rate analysis. Med Biol Eng Comput 54, 691-9.Griffin, M. P., & Moorman, J. R. (2001). Toward the Early Diagnosis of Neonatal Sepsis and Sepsis-Like illness using Novel Heart Rate Analisis. Pediatrics, 107, 97-104Griffin, M. P., Lake, D. E., & Moorman, J. R. (2005). Heart Rate Characteristics and Laboratory Tests in Neonatal Sepsis. Pediatrics, 115, 937-41.Harris, P. R. E., Stein, P. K., Fung, G. L., Drew, B. J. (2014). Heart rate variability measured early in patients with evolving acute coronary syndrome and 1-year outcomes of rehospitalization and mortality. Vasc Health Risk Manag, 10, 451–464.Jerez, G.; Palacios, J. y Castro, A. (2018). Responsabilidad social corporativa generadora de resultados empresariales y fuente de ventaja competitiva: capital intelectual. En J. Perea, J. Palacios y E. Cruz (edits). (pp. 15-42). Colombia: Universidad ECCI.Kazmi, S. Z. H., Zhang, H, Aziz, W., Monfredi, O., Abbas, S. A., Kazmi, S. S. H., Butt, W. H. (2016). Inverse Correlation between Heart Rate Variability and Heart Rate Demonstrated by Linear and Nonlinear Analysis. PLoS One, 11(6), e0157557.Lake, D. E., Richman, J. S., Griffin, M. P., & Moorman, J. R. (2002). Sample entropy analysis of neonatal heart rate variability. American Journal of Physiology-Regulatory, Integrative and Comparative Physiology, 283, R789-97.Leeuwen, P. V., Geue, D., Lange, S., Klein, A., Franzen, A. M., Heller, K., & Grönemeyer, D. (2012). Relation between neonatal behavioral states and heart rate variability. Biomed Tech, 57, 615-8.Maestri, R., Pinna, G. D., Accardo, A., Allegrini, P., Balocchi, R., D’Addio, G…, Cerutti, S. (2007). Nonlinear indices of heart rate variability in chronic heart failure patients: redundancy and comparative clinical value. J Cardiovasc Electrophysiol 18, 425-33.Mandelbrot, B. (2000). The fractal geometry of nature. Barcelona: Tusquets Eds S.AOliveira, V., von Rosenberg, W., Montaldo, P., Adjei, T., Mendoza, J., Shivamurthappa, V., Mandic, D., & Thayyil S. (2019). Early Postnatal Heart Rate Variability in Healthy Newborn Infants. Front Physiol, 10, 922.Peitgen, H. (1992). Strange attractors, the locus of chaos. In: Peitgen, H., Jurgens, H., & Saupe D., eds Chaos and Fractals: New Frontiers of Science. New York: Springer-Verlag, 655-768.Rodríguez, J. (2010a). Entropía Proporcional de los sistemas dinámicos cardiacos: Predicciones físicas y matemáticas de la dinámica cardiaca de aplicación clínica. Rev Colomb Cardiol, 17, 115- 29.Rodríguez, J. (2010c) Método para la predicción de la dinámica temporal de la malaria en los municipios de Colombia. Rev Panam Salud Pública, 27, 211-8.Rodríguez, J. (2011). Mathematical law of chaotic cardiac dynamic: Predictions of clinic application. J Med Med Sci, 2, 1050-9.Rodríguez, J. (2015b). 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, 102-8Rodríguez, J., Bernal, P., Prieto, S., Correa, C., Álvarez, L., Pinilla, L… Avendaño, O. (2013c). Predicción de unión de péptidos de Plasmodium falciparum al HLA clase II. Probabilidad combinatoria y entropía aplicadas a las proteínas MSP-5 y MSP-6. Archivos de Alergia e Inmunología Clínica, 44, 7-14.Rodríguez, J., Correa, C., Melo, M., Domínguez, D., Prieto, S., Cardona, DM… Mora J. (2013b). Chaotic cardiac law: Developing predictions of clinical application. J Med Med Sci, 4, 79-84.Rodríguez, J., Narváez, R., Prieto, S., Correa, C., Bernal, P., Aguirre, G..., Mora J. (2013a). The mathematical law of chaotic dynamics applied to cardiac arrhythmias. J Med Med Sci, 4, 291-300.Rodríguez, J., Prieto, S., Correa, C., Bernal, P. A., Puerta, G. E., Vitery, S… Muñoz, D. (2010b). Theoretical generalization of normal and sick coronary arteries with fractal dimensions and the arterial intrinsic mathematical harmony. BMC Medical Physics, 10, 1-6.Rodríguez, J., Prieto, S., Correa, C., Flórez, M., López, R., Alarcón, C…, Valdés C. (2016). Nuevo diagnóstico de la dinámica cardiaca neonatal a partir de los sistemas dinámicos y la geometría fractal. Rev Cubana Pediatr, 88, 266 -80.Rodríguez, J., Prieto, S., Correa, C., López, R., Flórez, M., Alarcón, C…, Valero, L. (2015a). Metodología diagnóstica de la dinámica cardíaca neonatal mediante la ocupación espacial del atractor caótico. Arch Med (Manizales), 15, 305-19.Rodríguez, J., Prieto, S., Correa, C., Pérez, C., Mora, J. T., Bravo, J… Álvarez L. F. (2013d). Predictions of CD4 lymphocytes’ count in HIV patients from complete blood count. BMC Medical Physics, 13, 3.Rodríguez, J., Prieto, S., Flórez, M., Alarcón, C., López, R., Aguirre, G…, Méndez, L. (2014a). Physical- mathematical diagnosis of cardiac dynamic on neonatal sepsis: predictions of clinical application. J Med Med Sci, 5, 102-8.Rodríguez, J., Prieto, S., Flórez, M., Alarcón, C., López, R., Aguirre, G…, Méndez, L. (2014b). Sistemas dinámicos cardiacos en neonatos normales: Ley caótica cardiaca neonatal. Salud Uninorte, 30, 359-68.Recién nacidoRitmo cardiacoFractalSistemas no linealesNewbornHeart rateFractalNonlinear systemsDiagnostic methodology for the neonatal cardiac system based on dynamic systemsArtículohttp://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/publishedVersionNINGUNAinfo:eu-repo/semantics/closedAccesshttp://purl.org/coar/access_right/c_14cbPublication20.500.12494/46230oai:repository.ucc.edu.co:20.500.12494/462302024-08-10 20:59:22.864metadata.onlyhttps://repository.ucc.edu.coRepositorio Institucional Universidad Cooperativa de Colombiabdigital@metabiblioteca.com