Mathematical Model of Cardiovascular and Metabolic Responses to Umbilical Cord Occlusions in Fetal Sheep

Bull Math Biol. 2015 Dec;77(12):2264-93. doi: 10.1007/s11538-015-0122-4. Epub 2015 Nov 18.

Abstract

Fetal acidemia during labor is associated with an increased risk of brain injury and lasting neurological deficits. This is in part due to the repetitive occlusions of the umbilical cord (UCO) induced by uterine contractions. Whereas fetal heart rate (FHR) monitoring is widely used clinically, it fails to detect fetal acidemia. Hence, new approaches are needed for early detection of fetal acidemia during labor. We built a mathematical model of the UCO effects on FHR, mean arterial blood pressure (MABP), oxygenation and metabolism. Mimicking fetal experiments, our in silico model reproduces salient features of experimentally observed fetal cardiovascular and metabolic behavior including FHR overshoot, gradual MABP decrease and mixed metabolic and respiratory acidemia during UCO. Combined with statistical analysis, our model provides valuable insight into the labor-like fetal distress and guidance for refining FHR monitoring algorithms to improve detection of fetal acidemia and cardiovascular decompensation.

Keywords: Fetal acidemia; Fetal blood circulation; Hemodynamics; Labor; Mathematical modeling; Neural control; Sensitivity analysis.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Acidosis / physiopathology
  • Animals
  • Blood Pressure
  • Constriction, Pathologic
  • Female
  • Fetus / blood supply*
  • Fetus / metabolism
  • Fetus / physiopathology*
  • Heart Rate, Fetal
  • Mathematical Concepts
  • Models, Animal
  • Models, Cardiovascular
  • Pregnancy
  • Sheep / physiology*
  • Umbilical Cord / pathology
  • Umbilical Cord / physiopathology
  • Uterine Contraction / physiology