Author(s)

Javier Oswaldo Rodríguez^1,2, Signed Esperanza Prieto^1,2, Sandra Catalina Correa^1,2, Fernán Mendoza^3,4, Giora Weiz⁵, María Yolanda Soracipa^1,2, Nelly Velásquez⁴, Juan Mauricio Pardo⁶, Miguel Martínez⁷, Freddy Barrios⁴

¹Insight Research Group, Bogotá, Colombia.
²Clínica del Country Research Center, Bogotá, Colombia.
³Fundación Clínica Abood Shaio, Bogotá, Colombia.
⁴Universidad el Bosque, Bogotá, Colombia.
⁵Columbia University Medical Center, Cardiology Shaare Zedek Medical Center, Jerusalem, Israel.
⁶Hospital Universitario Mayor Méderi, Bogotá, Colombia.
⁷Physiology, Medicine Faculty, Universidad Nacional de Colombia, Bogotá, Colombia.

Introduction: 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.

Heart Rate, Cardiovascular Diseases, Zipf-Mandelbrot Law, Complexity Grade

Rodríguez, J. , Prieto, S. , Correa, S. , Mendoza, F. , Weiz, G. , Soracipa, M. , Velásquez, N. , Pardo, J. , Martínez, M. and Barrios, F. (2015) Physical Mathematical Evaluation of the Cardiac Dynamic Applying the Zipf-Mandelbrot Law. Journal of Modern Physics, 6, 1881-1888. doi: 10.4236/jmp.2015.613193.