Mathematical-physical prediction of cardiac dynamics using the proportional entropy of dynamic systems

Juan Mauricio Pardo Oviedo, Signed Prieto, Javier Rodríguez-Velásquez, Dario Dominguez, Martha Melo, Fernán Mendoza, Catalina Correa, Yolanda Soracipa , Laura Pinilla, Nathalia Ramirez

Resultado de la investigación: Contribución a RevistaArtículo

Resumen

Heart dynamic characterized within the context of dynamical systems theory allows differentiating and
predicting normal cardiac states, different levels of disease, as well as evolution towards disease. The purpose of this study is to apply a previously developed methodology to 450 electrocardiographic registers to establish its effectiveness and comparing it with clinical conventional diagnosis. The methodology was applied to 50 normal Holters and 400 Holters with different pathologies. After masking the diagnostic conclusions, the minimum and maximum heart rate and the total number of beats each hour were used to construct an attractor for each Holter in a phase space, by means of which the probability, entropy and their proportions were evaluated in ordered pairs of heart rate. Measures were compared with the physical and mathematical parameters of normality and disease previously settled down. Diagnostic conclusions and dates from medical history of each Holter were unmasked, to calculate sensibility, specificity and coefficient Kappa respect to Gold-standard. This methodology allowed mathematically differentiating the normal, acute and chronic disease dynamics and the evolution among these states. Sensibility and specificity of 100% were obtained and Kappa coefficient was equal to 1, demonstrating its diagnostic utility.
Idioma originalEnglish (US)
Páginas (desde-hasta)370 - 381
Número de páginas11
PublicaciónJournal Of Medicine And Medic al Sciences
Volumen4
N.º9
EstadoPublished - 2013

Huella dactilar

Entropy
Heart Rate
Systems Theory
Acute Disease
Gold
Chronic Disease
Pathology

Citar esto

Pardo Oviedo, J. M., Prieto, S., Rodríguez-Velásquez, J., Dominguez, D., Melo, M., Mendoza, F., ... Ramirez, N. (2013). Mathematical-physical prediction of cardiac dynamics using the proportional entropy of dynamic systems. Journal Of Medicine And Medic al Sciences, 4(9), 370 - 381.
Pardo Oviedo, Juan Mauricio ; Prieto, Signed ; Rodríguez-Velásquez, Javier ; Dominguez, Dario ; Melo, Martha ; Mendoza, Fernán ; Correa, Catalina ; Soracipa , Yolanda ; Pinilla, Laura ; Ramirez, Nathalia. / Mathematical-physical prediction of cardiac dynamics using the proportional entropy of dynamic systems. En: Journal Of Medicine And Medic al Sciences. 2013 ; Vol. 4, N.º 9. pp. 370 - 381.
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title = "Mathematical-physical prediction of cardiac dynamics using the proportional entropy of dynamic systems",
abstract = "Heart dynamic characterized within the context of dynamical systems theory allows differentiating andpredicting normal cardiac states, different levels of disease, as well as evolution towards disease. The purpose of this study is to apply a previously developed methodology to 450 electrocardiographic registers to establish its effectiveness and comparing it with clinical conventional diagnosis. The methodology was applied to 50 normal Holters and 400 Holters with different pathologies. After masking the diagnostic conclusions, the minimum and maximum heart rate and the total number of beats each hour were used to construct an attractor for each Holter in a phase space, by means of which the probability, entropy and their proportions were evaluated in ordered pairs of heart rate. Measures were compared with the physical and mathematical parameters of normality and disease previously settled down. Diagnostic conclusions and dates from medical history of each Holter were unmasked, to calculate sensibility, specificity and coefficient Kappa respect to Gold-standard. This methodology allowed mathematically differentiating the normal, acute and chronic disease dynamics and the evolution among these states. Sensibility and specificity of 100{\%} were obtained and Kappa coefficient was equal to 1, demonstrating its diagnostic utility.",
author = "{Pardo Oviedo}, {Juan Mauricio} and Signed Prieto and Javier Rodr{\'i}guez-Vel{\'a}squez and Dario Dominguez and Martha Melo and Fern{\'a}n Mendoza and Catalina Correa and Yolanda Soracipa and Laura Pinilla and Nathalia Ramirez",
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Pardo Oviedo, JM, Prieto, S, Rodríguez-Velásquez, J, Dominguez, D, Melo, M, Mendoza, F, Correa, C, Soracipa , Y, Pinilla, L & Ramirez, N 2013, 'Mathematical-physical prediction of cardiac dynamics using the proportional entropy of dynamic systems', Journal Of Medicine And Medic al Sciences, vol. 4, n.º 9, pp. 370 - 381.

Mathematical-physical prediction of cardiac dynamics using the proportional entropy of dynamic systems. / Pardo Oviedo, Juan Mauricio; Prieto, Signed; Rodríguez-Velásquez, Javier; Dominguez, Dario; Melo, Martha; Mendoza, Fernán; Correa, Catalina; Soracipa , Yolanda; Pinilla, Laura; Ramirez, Nathalia.

En: Journal Of Medicine And Medic al Sciences, Vol. 4, N.º 9, 2013, p. 370 - 381.

Resultado de la investigación: Contribución a RevistaArtículo

TY - JOUR

T1 - Mathematical-physical prediction of cardiac dynamics using the proportional entropy of dynamic systems

AU - Pardo Oviedo, Juan Mauricio

AU - Prieto, Signed

AU - Rodríguez-Velásquez, Javier

AU - Dominguez, Dario

AU - Melo, Martha

AU - Mendoza, Fernán

AU - Correa, Catalina

AU - Soracipa , Yolanda

AU - Pinilla, Laura

AU - Ramirez, Nathalia

PY - 2013

Y1 - 2013

N2 - Heart dynamic characterized within the context of dynamical systems theory allows differentiating andpredicting normal cardiac states, different levels of disease, as well as evolution towards disease. The purpose of this study is to apply a previously developed methodology to 450 electrocardiographic registers to establish its effectiveness and comparing it with clinical conventional diagnosis. The methodology was applied to 50 normal Holters and 400 Holters with different pathologies. After masking the diagnostic conclusions, the minimum and maximum heart rate and the total number of beats each hour were used to construct an attractor for each Holter in a phase space, by means of which the probability, entropy and their proportions were evaluated in ordered pairs of heart rate. Measures were compared with the physical and mathematical parameters of normality and disease previously settled down. Diagnostic conclusions and dates from medical history of each Holter were unmasked, to calculate sensibility, specificity and coefficient Kappa respect to Gold-standard. This methodology allowed mathematically differentiating the normal, acute and chronic disease dynamics and the evolution among these states. Sensibility and specificity of 100% were obtained and Kappa coefficient was equal to 1, demonstrating its diagnostic utility.

AB - Heart dynamic characterized within the context of dynamical systems theory allows differentiating andpredicting normal cardiac states, different levels of disease, as well as evolution towards disease. The purpose of this study is to apply a previously developed methodology to 450 electrocardiographic registers to establish its effectiveness and comparing it with clinical conventional diagnosis. The methodology was applied to 50 normal Holters and 400 Holters with different pathologies. After masking the diagnostic conclusions, the minimum and maximum heart rate and the total number of beats each hour were used to construct an attractor for each Holter in a phase space, by means of which the probability, entropy and their proportions were evaluated in ordered pairs of heart rate. Measures were compared with the physical and mathematical parameters of normality and disease previously settled down. Diagnostic conclusions and dates from medical history of each Holter were unmasked, to calculate sensibility, specificity and coefficient Kappa respect to Gold-standard. This methodology allowed mathematically differentiating the normal, acute and chronic disease dynamics and the evolution among these states. Sensibility and specificity of 100% were obtained and Kappa coefficient was equal to 1, demonstrating its diagnostic utility.

M3 - Article

VL - 4

SP - 370

EP - 381

IS - 9

ER -

Pardo Oviedo JM, Prieto S, Rodríguez-Velásquez J, Dominguez D, Melo M, Mendoza F y otros. Mathematical-physical prediction of cardiac dynamics using the proportional entropy of dynamic systems. Journal Of Medicine And Medic al Sciences. 2013;4(9):370 - 381.