Dynamical systems applied to cardiac dynamics in 18 hours by an exponential mathematical law

Sistemas dinámicos aplicados a la dinámica cardiaca en 18 horas mediante una ley matemática exponencial

Published 2016-12-31


https://doi.org/10.30554/archmed.16.2.1775.2016
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Vol. 16 No. 2
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Forero, G., Rodríguez Velásquez, J. O., Prieto Bohórquez, S., Pernett, F., Correa, C., Guzmán, E., Sarmiento, C., & Diaz, S. (2016). Dynamical systems applied to cardiac dynamics in 18 hours by an exponential mathematical law. Archivos De Medicina (Manizales), 16(2), 335-344. https://doi.org/10.30554/archmed.16.2.1775.2016
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https://doi.org/10.30554/archmed.16.2.1775.2016
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Forero, G., Rodríguez Velásquez, J. O., Prieto Bohórquez, S., Pernett, F., Correa, C., Guzmán, E., Sarmiento, C., & Diaz, S. (2016). Dynamical systems applied to cardiac dynamics in 18 hours by an exponential mathematical law. Archivos De Medicina (Manizales), 16(2), 335-344. https://doi.org/10.30554/archmed.16.2.1775.2016

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Germán Forero
Javier Oswado Rodríguez Velásquez
Signed Prieto Bohórquez
Frank Pernett
Catalina Correa
Esmeralda Guzmán
Camila Sarmiento
Sergio Diaz
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Objective: To confirm the diagnostic capacity of an exponential diagnostic aid law, developed for 21 hours, based on the theory of dynamic systems along with the fractal geometry, in evaluations carried out in 18 hours, through a diagnostic concordance study with respect to the gold standard. Materials and methods: A study of 60 cardiac dynamics evaluated in holter and continuous electrocardiographic recordings was performed, of which 15 come from normal subjects and 45 from patients with different types of heart diseases. Theoretical simulations of the sequence of heart rates were developed for 18 hours, and were built attractors. The fractal dimension of each attractor and its spatial occupation in the generalized Box-Counting space was calculated. Mathematical diagnosis is determined from the law and sensitivity, specificity and Kappa coefficient was calculated. Results: values normally found between 219 and 373 in the Kp grid and between 49 and 70 for acute disease, showing that the method can differentiate normal acute disease by spatial occupation of attractors assessed from the mathematical law in 18 hours. Sensitivity and specificity of 100% and a Kappa coefficient of 1 were found by comparing the physical-mathematical diagnosis with the Gold standard. Conclusion: the exponential mathematical law of cardiac dynamic systems applied in 18 hours is useful as a diagnostic aid tool, allowing quantifying normal cases, evolving towards disease and acute conditions.

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