Physical Mathematical Evaluation of the Arrhythmic Cardiac Dynamic by Means of the Application of the Chaotic Exponential Law
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Abstract
Objective: To confirm the clinical applicability of the diagnostic methodology based on the power law of cardiac dynamic systems, specifically for detecting arrhythmias, evaluating its concordance with respect to the Gold Standard, by means of the sensitivity, specificity, and Kappa coefficient
Methods: Forty Holter were studied, of which 10 corresponded to normal subjects and 30 to patients diagnosed with different types of arrhythmias. A theoretical simulation of all cardiac frequencies (of at least 21 hours) was performed from the maximum and minimum frequency values registered, to build the cardiac dynamics attractor and its fractal dimension was calculated; the spatial occupation of each one of them was quantified in the generalized Box-Counting space. Finally, the mathematical parameters to differentiate normality of acute cardiac disease and of the evolution toward disease were applied.
Results: There were six cases with mathematically-diagnosed acute arrhythmias, 24 cases were between 73 and 200 occupied ranges for the Kp grid that correspond to cases of evolution toward disease. This physical-mathematical diagnosis was compared with the Gold Standard and yielded a sensitivity and specificity of 100% and a Kappa coefficient of 1.
Conclusions: The application of this method to the study of chaotic cardiac dynamics evidences its usefulness as a tool of diagnostic aid for the prediction of acute arrhythmic events which may imply situations of vital risk.
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