A. Sengupta et al., UNDERSTANDING UTEROPLACENTAL BLOOD-FLOW IN NORMAL AND HYPERTENSIVE PREGNANCY THROUGH A MATHEMATICAL-MODEL, Medical & biological engineering & computing, 35(3), 1997, pp. 223-230
Normal development of utero-placental circulation is crucial not only
for the survival and growth of the fetus in utero, but also for matern
al well-being. Any disturbance or abnormality may reflect underlying p
athology. Geometric conversion of a pre-pregnant spiral vessel into a
divergent low-resistance vessel is believed to be responsible for the
increased utero-placental blood flow in normal pregnancy. Known biomed
ical investigative techniques have failed to explain many such underly
ing haemodynamic changes taking place in the utero-placental system. T
herefore, proper understanding of the system using a mathematical mode
l has been found to be useful. The physiological fluid dynamic study i
s the first in this branch of physiology. Abnormal pressure gradient,
axial velocity, volume flow and shear rate are obtained for various sl
owly changing geometries such as, tapering, divergence, local constric
tions and sinusoidal tube for low Womersley parameters, The model can
explain many enhanced patho-physiological changes, such as persistence
or the appearance of local constriction in the utero-placental vessel
s. Such pathological changes are considered to be responsible for very
high utero-placental resistance, leading to blood flow insufficiency
in pre-eclampsia or intra-uterine growth retardations. It is believed
that these changes may be caused by low shear rate on the pre-existing
deranged or abnormal endothelium. Furthermore, this derangement is ca
used by an abnormal proliferation of either spiral vessels or the inva
ding non-villous trophoblasts. Doppler flow study can explain and vali
date some of the theoretically derived flow velocity results. The stud
y opens up a new area of research into utero-placental physiological f
luid dynamics.