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ISSN 0185-3252 (Print)
Revista de la Asociación Médica del Centro Médico ABC

2017, Number 3

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An Med Asoc Med Hosp ABC 2017; 62 (3)

Application of a law based on dynamic systems for the evaluation of cardiac dynamics in 16 hours

Rodríguez VJO, Correa HSC, Prieto BSE, Rojas RJA, Chavarría CT, Palacios BAU, Hurtado CC

Language: Spanish
References: 31
Page: 180-186
PDF size: 379.62 Kb.


ABSTRACT

Background: The formulation of an exponential mathematical law of chaotic dynamic cardiac systems has allowed quantifying the differences between normal cardiac dynamics, dynamics with disease, and in evolutionary stages towards exacerbation. Objective: To implement the exponential mathematical law as a diagnostic tool of the cardiac dynamics by reducing time to 16 hours, confirming its clinical utility. Material and methods: A study was performed with 100 electrocardiographic records: 20 belonged to normal subjects and 80 were diagnosed with different types of cardiac pathologies. A theoretical simulation of heart rates was performed in 16 and 21 hours, with the minimum and maximum values of recorded rates, as well as the total beats per hour, to construct the attractor of the cardiac dynamics. Next, the fractal dimension of the attractors generated for the different dynamics was calculated, and their occupation was quantified in the generalized box-counting space. Finally, the physical-mathematical diagnosis was established and compared with the gold standard for both evaluations. Results: When applying the mathematical law, it was found that the cases that presented some type of pathology had values between 51 and 167 in the Kp grid; for normal cases these values were between 251 and 396. In addition, the statistical analysis showed results of 100 % for specificity and sensitivity; the Kappa coefficient was 1. Conclusion: It was possible to verify the diagnostic utility of the exponential mathematical law to distinguish diseased cardiac dynamics from normal ones, even when the evaluation time was reduced from 21 to 16 hours.


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