The Nonlinear Dynamic Response of Intrapartum Fetal Heart Rate to Uterine Pressure

Johann Vargas-Calixto, Yvonne Wu, M. Kuzniewicz, Marie-Coralie Cornet, Heather Forquer, Lawrence Gerstley, E. Hamilton, P. Warrick, Robert E. Kearney
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Abstract

The research objective of our group is to improve the intrapartum detection of cardiotocography tracings associated with an increased risk of developing fetal acidosis and subsequent hypoxic-ischemic encephalopathy (HIE). The detection methods that we aim to develop must be sensitive to abnormal tracings without causing excessive unnecessary interventions. Past studies showed that the dynamic response of fetal heart rate (FHR) to uterine pressure (UP) during the intrapartum could be modelled using linear systems. In this study, we examined the assumption of linearity by comparing the performance of linear dynamic and nonlinear dynamic models of the UP-FHR system. The linear systems were defined by second-order state-space models. The nonlinear systems were defined by Hammerstein models: a cascade of a static nonlinearity and a linear second-order state-space model. Our results showed that nonlinear dynamic models were better than linear systems in 81.8% of UP-FHR segments.
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产时胎儿心率对子宫压力的非线性动态响应
我们小组的研究目的是提高与胎儿酸中毒和随后的缺氧缺血性脑病(HIE)风险增加相关的胎心造影追踪的产时检测。我们要开发的检测方法必须对异常示踪敏感,而不会造成过多不必要的干预。以往的研究表明,产时胎儿心率(FHR)对子宫压力(UP)的动态响应可以用线性系统建模。在本研究中,我们通过比较UP-FHR系统的线性动态模型和非线性动态模型的性能来检验线性假设。线性系统由二阶状态空间模型定义。非线性系统由Hammerstein模型定义:一个静态非线性级联模型和一个线性二阶状态空间模型。结果表明,在81.8%的UP-FHR片段中,非线性动态模型优于线性系统。
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