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Updated: Aug 7, 2026

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Human Fetal Blood Flow Quantification with Magnetic Resonance Imaging and Motion Compensation
Published on: January 7, 2021
Abnormal arterial flows by a distributed model of the fetal circulation
Jeroen P H M van den Wijngaard1, Berend E Westerhof, Dirk J Faber
1Laser Center and Department of Obstetrics and Gynecology, BMEYE Cardiovascular Monitoring Company, University of Amsterdam, The Netherlands.
Summary
This study presents a new mathematical model for fetal circulation, improving the interpretation of abnormal blood flow in fetuses. The model enhances understanding of fetoplacental arterial dynamics and clinical management.
Area of Science:
- Biomedical Engineering
- Fetal Physiology
- Mathematical Modeling
Background:
- Current models of fetoplacental circulation lack comprehensive gestational age ranges and fail to account for anatomical, vascular, and rheological variations.
- Accurate modeling of fetal arterial flow is crucial for interpreting abnormal flow velocity waveforms.
Purpose of the Study:
- To develop a mathematical model of pulsating fetoumbilical arterial circulation.
- To assess the influence of various physiological parameters on pulsatility index (PI) and flow dynamics.
- To improve the interpretation of fetal arterial flow pulsations.
Main Methods:
- Utilized Womersley's oscillatory flow theory and viscoelastic arterial wall properties.
- Calculated arterial flow waves at different locations to determine pulsatility index (PI).
- Systematically varied parameters including blood viscosity, resistances, compliance, heart rate, arterial stiffness, and umbilical artery length.
Main Results:
- Increased placental resistance or decreased brain resistance led to increased umbilical artery PI and decreased cerebral artery PI, reducing placental flow.
- Increased arterial stiffness elevated PIs throughout the fetoplacental circulation.
- Bradycardia and tachycardia modulated PI, while blood viscosity and compliance had limited effects.
Conclusions:
- The developed model offers a more comprehensive approach to understanding fetoplacental arterial circulation.
- It can enhance the interpretation of abnormal flow velocity waveforms, aiding in the diagnosis and management of fetal conditions.
- This model has the potential to advance the understanding of pathophysiological processes and improve clinical management in fetal medicine.
Related Concept Videos
Fetal Circulation
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Autoregulation of Blood Flow
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Chemical Signaling in Autoregulation
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Blood Flow
Blood is pumped by the heart into the aorta, the largest artery in the body, and then into increasingly smaller arteries, arterioles, and capillaries. The velocity of blood flow decreases with increased cross-sectional blood vessel area. As blood returns to the heart through venules and veins, its velocity increases. The movement of blood is encouraged by smooth muscle in the vessel walls, the movement of skeletal muscle surrounding the vessels, and one-way valves that prevent backflow.
Development of Blood Vessels
The development of the vascular system in a fetus is a complex and intricate process that begins as early as 15 to 16 days post-conception. This process starts outside the embryo, specifically in the mesoderm of the yolk sac, chorion, and connecting stalk. Approximately two days later, the formation of blood vessels occurs within the embryo itself.
The initial formation of this system is facilitated by the small amount of yolk present in the ovum and yolk sac. Blood vessels originate from...
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