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ISSN 1561-3011 (Electronic)

2017, Number 4

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Rev Cubana Invest Bioméd 2017; 36 (4)

Mathematical exponential law applied to the evaluation of the cardiac dynamics in 18 hours

Correa HC, Rodríguez VJ, Prieto BSE, Rodríguez D, Guzmán E, Urina M, Echeverri-Ocampo I, Meléndez-Pertuz F, Oyaga R

Language: Spanish
References: 35
Page: 1-13
PDF size: 149.44 Kb.


ABSTRACT

Introduction: dynamical systems theory aims to study the evolution of systems. With this theory and fractal geometry, it was developed a mathematical law of diagnostic utility in cardiac dynamical systems that may differentiate normality from disease and evolution between these two states.
Objective: To confirm the diagnostic capacity of the exponential mathematical law initially developed for cardiac dynamics in 21 hours, for dynamics evaluated in 18 hours.
Methods: there were taken 400 electrocardiographic records, 80 from normal dynamics and 320 from abnormal dynamics. A pseudorandom sequence was generated with the number of beats per hour and the maximum and minimum frequencies each hour; then, the attractors were built for each dynamic, in order to calculate the space occupation and the fractal dimension. Finally the physical and mathematical diagnosis in 18 and 21 hours was established, and compared to clinical diagnosis taken as Gold Standard, obtaining values of sensitivity, specificity and Kappa coefficient.
Results: there were found values for spatial occupation in the Kp grid between 236 and 368 for normal cases, and between 22 and 189 for pathological states, which allowed distinguish normality from disease and states of progression to disease in 18 hours. There were obtained values for sensitivity and specificity of 100% and a Kappa coefficient equal to 1.
Conclusions: the mathematical law allowed to stablish diagnostics by reducing the evaluation time to 18 hours confirming its clinical applicability.


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