Mathematical Physical Diagnosis of Fetal Cardiotocography Based On Probability and The S / K Ratio of Entropy

Proceedings of The ‏3rd International Conference on Advanced Research in Applied Science and Engineering

Year: 2021

DOI: https://www.doi.org/10.33422/3rd.raseconf.2021.07.04

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Mathematical Physical Diagnosis of Fetal Cardiotocography Based On Probability and The S / K Ratio of Entropy

Javier Rodríguez, Jaime Paez

ABSTRACT: 

Introduction: Intrapartum fetal status surveillance methods must be capable of detecting fetuses in a situation of developing short- and long-term complications, in order to carry out medical or surgical interventions that attempt to improve their perinatal outcome.

Objective: to confirm the reproducibility and clinical applicability of a mathematical diagnosis based on probability and entropy, designed to evaluate normal and abnormal cardiotocographic tracing for 20 minutes in the context of dynamic systems theory.

Methodology: For this, 80 cardiotocographic tracings were taken divided into two groups of normal and with loss of fetal well-being. The frequency of appearance of each heart rate presented in discrete time intervals was calculated from the probability and the ratio between the entropy value and Boltzmann’s constant (S / k). Subsequently, the mathematical diagnosis was applied to make distinctions between normal fetal cardiac dynamics of patients.

Results: the values ​​of the entropy S / k proportions obtained when evaluating the cardiotocographic tracings differentiated normal fetal cardiac dynamics from patients.

Conclusion: The 20-minute normal and abnormal cardiotocography tracings were correctly evaluated from the values ​​of the entropy S / k ratio and the previously established diagnostic parameters, thus confirming their clinical applicability.

Keywords: probability, fetal heart rate, cardiotocography.