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Feto-maternal circulation: mathematical model and comparison with Doppler measurements
E Ménigault1, M Berson, P Vieyres
1Unité INSERM 316, Faculté de Médecine, 2 bis boulevard Tonnellé, 37032 Tours Cedex, France. inserm316@med.univ.tours.fr
Summary
A new mathematical model simulates fetal blood flow, aiding understanding of fetal well-being and placental circulation. This tool enhances insights into hemodynamics and blood redistribution during hypoxic conditions.
Area of Science:
- Physiology
- Biomedical Engineering
- Medical Imaging
Background:
- Doppler ultrasound of fetal blood flow velocity curves in vital organs like the placenta and fetal brain is increasingly used to assess fetal well-being.
- Understanding fetal circulatory regulatory mechanisms is crucial for clinical practice.
Purpose of the Study:
- To develop a mathematical model of the utero-placental and fetal circulations.
- To provide a tool for teaching and enhancing the understanding of circulatory regulatory mechanisms.
Main Methods:
- The model utilizes basic elements: an arterial segment and a bifurcation, combined to represent major feto-maternal arteries.
- The mathematical framework is based on the Navier-Stokes equations.
- Peripheral areas (brain, kidneys, placenta) are modeled using a Windkessel model, computing instantaneous flow and pressure throughout the fetal arterial tree and uterine arteries.
Main Results:
- Computed instantaneous flow and pressure curves were compared with in vivo data.
- The model's results align with findings in both physiological conditions and gravidic hypertension.
Conclusions:
- The developed model offers novel insights into fetal hemodynamics, including impedance mismatch phenomena.
- It shows promise for studying blood redistribution mechanisms in hypoxic situations.