Evaluación de la dinámica cardiaca con la aplicación de metodologías basadas en entropía proporcional y la ley Zipf-Mandelbrot

Abstract

Introduction: Physical-mathematical methodologies have been useful for the diagnosis of cardiac dynamics. Objective: To compare the application of two mathematical methodologies for cardiac dynamics evaluation, one of them based on entropy proportions and the other based on of Zipf-Mandelbrot law. Method: 10 Holter, 5 acute disease dynamics and 5 normal records were taken. A numerical attractor was constructed; probability, entropy and entropy proportions were evaluated. To apply the second methodology, heart rate values were grouped in 15-beat/min ranges, and Zipf-Mandelbrot’s law was applied in order for the statistical fractal dimension to be obtained. Finally, the mathematical evaluation obtained by both methodologies was compared. Results: The methodology based on entropy proportions differentiated normality, disease and intermediate states. The second methodology differentiated normality from acute disease through the degree of complexity. Conclusion: Both methodologies establish diagnostically helpful evaluations of cardiac dynamics in an objective and reproducible way. Proportional entropy allows normality, disease and evolution between states to be quantified in a predictive manner and with higher accuracy.