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Revista mexicana de cardiología
versión impresa ISSN 0188-2198
Resumen
RODRIGUEZ, Javier; CORREA, Catalina y RAMIREZ, Leonardo. Heart dynamics diagnosis based on entropy proportions: Application to 550 dynamics. Rev. Mex. Cardiol [online]. 2017, vol.28, n.1, pp.10-20. ISSN 0188-2198.
Background:
It was developed a methodology to assess cardiac dynamic based on dynamical systems theory, probability and entropy proportions that allows the establishment of diagnostic, objective and reproducible measurements.
Objective:
To develop a diagnostic concordance study to confirm the clinical applicability of the methodology designed to assess adult cardiac dynamic, through probability and entropy proportions.
Methods:
A blind study was conducted to analyze the behavior of 550 continuous electrocardiographic recordings and Holters. For this purpose, the maximum and minimum heart rate each hour in 18 hours and the beats per hour were taken to generate a numerical attractor for each dynamic in a delay map. Subsequently, frequency, probability and ratio S/k of ordered pairs of heart rates in three regions of the attractor were calculated. After that, entropy proportions were obtained and mathematical-physical diagnosis was established to compare the results obtained through this methodology with the conventional diagnosis, taken as gold standard.
Results:
The numerical attractors for each cardiac dynamic, quantified with entropy proportions, lead to accurate mathematical distinctions between patients with normal cardiac dynamics and those with varying degrees of acute cardiac pathologies. Sensitivity and specificity were 100% and kappa coefficient had a value of 1.
Conclusion:
The diagnostic and predictive ability of the methodology was confirmed, it simplifies all current clinical parameters and allows to determine quantitatively the worsening of acute cardiac states.
Palabras llave : Mathematics; nonlinear dynamics; theoretical models; mathematical concepts.