A. Guettouche et al., OPTIMIZATION AND RESOLUTION ALGORITHM OF THE HUMAN FETAL BLOOD-CIRCULATION MODEL, Mathematical and computer modelling, 18(9), 1993, pp. 1-8
We present a mathematical model of the human fetal arterial circulatio
n based on mass and momentum conservation -for a one-dimensional flow.
In order to identify the parameters of the model and to solve it, we
have developed a mathematical algorithm combining an optimization meth
od and a finite differences scheme. The model was validated by compari
ng the numerical results to the ultrasound measurements.