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New Physical–Mathematical Analysis of Cardiac Dynamics and Temperature for the Diagnosis of Infectious Disease

Author

Listed:
  • Leonardo Juan Ramirez Lopez

    (TIGUM Research Group, Universidad Militar Nueva Granada, Bogota 250247, Colombia)

  • Sandra Catalina Correa Herrera

    (Hospital Universitario Nacional de Colombia, Bogota 250247, Colombia)

  • José Arturo Lagos Sandoval

    (INAMPE Research Group, Universidad Militar Nueva Granada, Bogota 250247, Colombia)

Abstract

Background: Physical and mathematical theories have made it possible to generate methods for the characterization and diagnosis of physiological variables such as cardiac dynamics. Therefore, it would be useful to implement them to evaluate the dynamic changes in human physiology during the development of COVID-19, which causes disease, severe respiratory and death. Objective: to establish a method for detecting possible alterations associated with COVID-19 through simulations of adult cardiac dynamics and body temperature using dynamic systems theory, probability, entropy and set theory. Methodology: simulations of cardiac dynamics were generated in subjects with 10 temperature ranges between 32 °C and 42 °C via numerical attractors after their evaluation using entropy proportions. Results: differences were observed in the proportions of entropy that differentiate normal cardiac dynamics and acute myocardial infarction towards progression to fever. Conclusion: the physical mathematical analysis of cardiac behavior in relation to body temperature in people with COVID-19 allowed the establishment of a possible surveillance method for detecting minor alterations.

Suggested Citation

  • Leonardo Juan Ramirez Lopez & Sandra Catalina Correa Herrera & José Arturo Lagos Sandoval, 2023. "New Physical–Mathematical Analysis of Cardiac Dynamics and Temperature for the Diagnosis of Infectious Disease," Mathematics, MDPI, vol. 11(15), pages 1-12, August.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:15:p:3374-:d:1208802
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    References listed on IDEAS

    as
    1. Andres M. Kowalski & Mariela Portesi & Victoria Vampa & Marcelo Losada & Federico Holik, 2022. "Entropy-Based Informational Study of the COVID-19 Series of Data," Mathematics, MDPI, vol. 10(23), pages 1-16, December.
    2. Xu, Changjin & Liu, Zixin & Pang, Yicheng & Akgül, Ali & Baleanu, Dumitru, 2022. "Dynamics of HIV-TB coinfection model using classical and Caputo piecewise operator: A dynamic approach with real data from South-East Asia, European and American regions," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
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