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

Javier Oswaldo Rodriguez, Signed Esperanza Prieto, Sandra Catalina Correa, Fernán Mendoza, Giora Weiz, Maria Yolanda Soracipa, Nelly Velásquez, Juan Mauricio Pardo, Miguel Martinez, Freddy Barrios

Research output: Contribution to journalArticlepeer-review


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.
Translated title of the contributionEvaluación físico-matemática de la dinámica cardiaca aplicando la ley Zipf-Mandelbrot
Original languageEnglish (US)
Pages (from-to)1881
Number of pages1
JournalJournal of Modern Physics
Issue number13
StatePublished - 2015


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