Adult Heart Dynamics Evaluated from A Chaotic Mathematical Law

Authors

  • Natalia HOYOS Insight Group. Focusing Area and Special Internship “Physical and Mathematical Theories Applied to Medicine”, Nueva Granada Military University - Clínica del Country Research Center
  • Javier RODRÍGUEZ Nueva Granada Military University - Clínica del Country Research Center.
  • Catalina CORREA Insight Group. Nueva Granada Military University - Clínica del Country Research Center
  • Jairo BAUTISTA Faculty of Educational Sciences and Humanities. Nueva Granada Military University, Bogotá, Colombia
  • Sandra MEDINA Department of Physics. Basic and Applied Sciences Faculty, Nueva Granada Military University, Bogota, Colombia
  • Jairo JATTIN Insight Group. Nueva Granada Military University - Clínica del Country Research Center, Bogota, Colombia
  • Paula QUIROGA Nueva Granada Military University - Clínica del Country Research Center
  • Eduardo MÉNDEZ Special Internship and Focusing Area “Physical and Mathematical Theories Applied to Medicine”, Medicine Faculty, Nueva Granada Military University, Bogota, Colombia
  • Carlos ACOSTA Special Internship and Focusing Area “Physical and Mathematical Theories Applied to Medicine”, Medicine Faculty, Nueva Granada Military University, Bogota, Colombia
  • Sebastián BARRANTES Special Internship and Focusing Area “Physical and Mathematical Theories Applied to Medicine”, Medicine Faculty, Nueva Granada Military University, Bogota, Colombia

Keywords:

Nonlinear dynamics, Heart rate, Diagnostic

Abstract

Aim: to confirm the diagnostic capacity in 18 hours of a methodology applied to heart dynamics in the frame of a chaotic exponential mathematical law previously applied in 21 hours based on dynamical systems theory and fractal geometry. Materials and methods: a blind study was developed with 100 Holter registries, 30 normal and 70 pathological, with lengths of at least 18 hours up to 21 hours. The values of heartbeats, as well as minimal and maximal heart rates, were taken to build attractors and quantify their fractal dimension and its occupation space with the Box-Counting method. A comparison between the values obtained for both 18 and 21 hours was made as well as a comparison with the clinical diagnostic Gold Standard. Results: the values obtained for the spaces of occupation in the grid Kp of 18 hours were between 202 and 374 and between 43 to 195 for the pathological ones. Sensitivity and specificity were 100% and the Kappa coefficient was 1 for 18 and 21 hours. Conclusion: the diagnostic capacity of a chaotic exponential mathematical law applied to Holter registries in 18 hours was confirmed. This reduction can be useful in order to obtain earlier diagnostics about heart dynamics in contexts such as in the Intensive Care Unit.

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Published

30.09.2019

How to Cite

1.
HOYOS N, RODRÍGUEZ J, CORREA C, BAUTISTA J, MEDINA S, JATTIN J, QUIROGA P, MÉNDEZ E, ACOSTA C, BARRANTES S. Adult Heart Dynamics Evaluated from A Chaotic Mathematical Law. Appl Med Inform [Internet]. 2019 Sep. 30 [cited 2024 Jun. 21];41(3):102-10. Available from: https://ami.info.umfcluj.ro/index.php/AMI/article/view/691

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