Exponential law of cardiac dynamics for physical–mathematical evaluation in 16 h

Abstract

Objective

To confirm the applicability of an exponential mathematical law based on dynamic systems in the evaluation of cardiac dynamics, reducing the time of evaluation from 21 to 16 h, as has been achieved in the area of cardiology by developing innovative diagnostic methodologies that allow us to establish differences between normal and pathological cardiac dynamics.

Material and methods

Starting from 180 ambulatory and continuous electrocardiographic records between normal and pathological patients, a heart rate sequence was simulated for 16 and 21 h with values of heart rate and beats per hour of each record, to construct the attractor of each dynamic. Later, the fractal dimension of each attractor and its occupation in the generalized space of Box-Counting was calculated. Finally, the mathematical diagnosis was determined at 16 and 21 h and sensitivity, specificity and Kappa coefficient were calculated respectively to the conventional diagnostic taken as the gold standard.

Results

It was possible to establish that the values between 206 and 349 for the K_p grid were associated with normal diagnoses, while values between 36 and 194 were related to disease in 16 h. Sensitivity and specificity were 100%, and the Kappa coefficient was 1.

Conclusion

The application of the exponential mathematical law to electrocardiographic registers in 16 h allowed us to establish correct diagnoses of clinical applicability.