Abstract

RODRIGUEZ VELASQUEZ, Javier et al. Evaluación de la dinámica cardíaca durante 16 horas mediante una ley matemática exponencial. Insuf. card. [online]. 2020, vol.15, n.3, pp.70-75. ISSN 1852-3862.

Background. Based on the theory of dynamic systems, an exponential mathematical law was established that, when applied to chaotic cardiac systems, allowed to quantify states of normality and disease, being also possible to find the total number of cardiac dynamics from This mathematical understanding of the phenomenon, in this study, evaluated the clinical applicability and diagnostic utility of the exponential law in 300 continuous electrocardiographic records and Holter tests, in 16 hours. Methods. With 300 continuous electrocardiographic registers and Holter tests, of which 50 presented conventional diagnosis of normality and the remaining 250 some type of pathology, the delay maps were constructed for each cardiac dynamics. Next, the fractal dimension and the spaces of occupation of the attractors were calculated. It was made the mathematical evaluation in 16 and 21 hours, using the exponential law and the statistical validation was performed. Results. It was obtained that the values for the grid Kp between 203 and 346 corresponded to normality, whereas values between 35 and 197 corresponded to disease, in 16 hours. The value found for the Kappa coefficient was 1; the sensitivity and specificity were 100%. Conclusion. It was possible to establish that the mathematical methodology allows to make accurate diagnoses in 16 hours, being proved its applicability in 300 electrocardiographic registers.

Keywords : Diagnosis; Fractals; Nonlinear systems; Heart rate.

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