Physical Mathematical Evaluation of the Cardiac Dynamic Applying the Zipf-Mandelbrot Law

• 作者: Fernán Mendoza Freddy Barrios Giora Weiz Javier Oswaldo Rodríguez Juan Mauricio Pardo María Yolanda Soracipa Miguel Martínez Nelly Velásquez Sandra Catalina Correa Signed Esperanza Prieto
• 来源期刊: 现代物理(英文)
• 学科: 医学
• 关键词: Heart Rate CARDIOVASCULAR DISEASES Zipf-Mandelbrot LAW COMPLEXITY Grade
• 年，卷（期）: 2015,（13）
• 页码范围: 1881-1888
• 页数: 8页
• 分类号: R73

摘要

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.