Revista Médica de la Universidad de Costa Rica ISSN electrónico: 1659-2441

OAI: https://revistas.ucr.ac.cr/index.php/medica/oai
Analysis of cardiac dynamics using a mathematical law for 14 hours
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Keywords

nonlinear dynamics
mathematics
heart beat
dinámicas no lineales
matemática
frecuencia cardíaca

How to Cite

Páez Coy, K., Padilla Beltrán, E., & Rodríguez Velásquez, J. (2017). Analysis of cardiac dynamics using a mathematical law for 14 hours. Revista Médica De La Universidad De Costa Rica, 11(1). https://doi.org/10.15517/rmucr.v11i1.30489

Abstract

Background: Through dynamic systems theory, there have been developed methodologies that allow to differentiate more precisely normal cardiac dynamics from the pathological ones.

Objective: To perform a diagnosis of cardiac dynamics in 14 hours with a law based on dynamic systems theory and fractal geometry, to evaluate its usefulness as a diagnostic aid.

Method: There were taken 140 electrocardiographic records between normal and pathological; then, for each record, a sequence of cardiac frequencies was simulated in 21 and 14 hours, in order to construct the attractors of each dynamic. Afterwards, the fractal dimension of the attractors and their spatial occupation were calculated. Next, the parameters that allow to differentiate normal cardiac dynamics from those with some pathology and in evolution towards the disease were applied.  

Result: Normal cardiac dynamics had a spatial occupation greater than 209 on the Kp grid in 14 hours. The dynamics with some pathology presented values between 39 and 186 in that grid. The sensitivity and specificity showed values of 100% and Kappa coefficient was 1.

Conclusion: The utility of the exponential law was proved. This law allowed to diagnose in 14 hours reducing the time of evaluation.

https://doi.org/10.15517/rmucr.v11i1.30489
PDF (Español (España))

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