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Revista de la Universidad Industrial de Santander. Salud

Print version ISSN 0121-0807


RODRIGUEZ-VELASQUEZ, Javier Oswaldo et al. Exponential law of chaotic cardiac dynamics applied to 18 hours. Rev. Univ. Ind. Santander. Salud [online]. 2019, vol.51, n.2, pp.147-154. ISSN 0121-0807.


The application of an exponential law for chaotic dynamic cardiac systems has been reduced to 18 hours for Holter analysis, quantifying normal and pathological cardiac dynamics, as well as the evolution between these states.


80 electrocardiographic records were analyzed, 15 with normal dynamics and 65 with different pathologies. A chaotic attractor was constructed for each cardiac dynamic based on the simulation of the cardiac frequency sequence for 18 hours, after the fractal dimension of each attractor and its spatial occupation were found. The differentiating parameters of the chaotic exponential law were applied differentiating normal cardiac dynamics from those pathological, finally the sensitivity, specificity and Kappa coefficient were calculated.


The normal dynamics presented occupancy spaces above 200 in the Kp grid, and for the Kg grid above 67. In the cases of acute disease, the values in the Kp and Kg grids were below 73 and 22 respectively. The values of sensitivity and specificity were 100% and the Kappa coefficient was 1.


The application of the exponential law for 18 hours showed that it was possible to characterize mathematically the cardiac dynamics, allowing reducing the time of evaluation.

Keywords : Fractal; diagnosis; electrocardiography; disease; mathematics; simulation.

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