Acceso Abierto

Physical mathematical evaluation of the cardiac dynamic applying the Zipf-Mandelbrot law

Título de la revista
Pardo Oviedo, Juan Mauricio
Rodriguez, Javier Oswaldo
Prieto, Signed Esperanza
Correa, Sandra Catalina
Mendoza, Fernán
Weiz, Giora
Freddy Barrios, Miguel Martinez



ISSN de la revista
Título del volumen
World Scientific and Engineering Academy and Society

Buscar en:

Métricas alternativas

The law of Zipf-Mandelbrot is a power law, which has been observed in natural languages. A mathematical diagnosis of fetal cardiac dynamics has been developed with this law. Objective: To develop a methodology for diagnostic aid to assess the degree of complexity of adult cardiac dynamics by Zipf-Mandelbrot law. Methodology: A mathematical induction was done for this; two groups of Holter recordings were selected: 11 with normal diagnosis and 11 with acute disease of each group, one Holter of each group was chosen for the induction, the law of Zipf-Mandelbrot was applied to evaluate the degree of complexity of each Holter, searching similarities or differences between the dynamics. A blind study was done with 20 Holters calculating sensitivity, specificity and the coefficient kappa. Results: The complexity grade of a normal cardiac dynamics varied between 0.9483 and 0.7046, and for an acute dynamic between 0.6707 and 0.4228. Conclusions: A new physical mathematical methodology for diagnostic aid was developed; it showed that the degree of complexity of normal cardiac dynamics was higher than those with acute disease, showing quantitatively how cardiac dynamics can evolve to acute state.
Palabras clave
Heart Rate , Cardiovascular Diseases , Zipf-Mandelbrot Law , Complexity Grade
Buscar en: