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Revista Colombiana de Cardiología

Print version ISSN 0120-5633


PRIETO-BOHORQUEZ, Signed E. et al. Application of an exponential mathematical law to cardiac dynamics in 16 hours: a study of 250 patients. Rev. Colomb. Cardiol. [online]. 2021, vol.28, n.3, pp.231-238.  Epub July 29, 2021. ISSN 0120-5633.


Dynamic systems and fractal geometry have been the substrate for the rising of a mathematical law applied to the diagnosis of cardiac dynamics in 21 hours.


To confirm the clinical applicability of the exponential mathematical law in 16 hours, with a study of diagnostic agreement against the Gold Standard.

Materials and method:

It was made a study with 250 ambulatory and continuous electrocardiographic recordings, 50 belonged to normal patients and 200 to patients with various cardiac pathologies. The sequence of heart rates was simulated, and attractors were constructed. It was calculated the fractal dimension of the attractor and its occupation in the generalized Box-Counting space. Finally, it was determined the physical-mathematical diagnostic in 16 and 21 hours, and statistical validation was performed.


The occupation spaces in the small grid were between 205 and 372 for normality, and between 56 and 201 for pathologic dynamics, which demonstrated the ability of the method to differentiate normal condition from sickness, through spatial occupation of attractors according to mathematical law in 16 hours. There were obtained values of sensitivity and specificity of 100% and Kappa coefficient was 1, after comparing the physic-mathematical analysis against the Gold Standard.


The exponential mathematical law in 16 hours proved its utility as diagnostic and predictive tool support, allowing to differentiate normal, developmental stages to disease and exacerbation.

Keywords : Cardiovascular disease; Dynamical systems; Diagnostics; Holter.

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