Mathematical model of the fetal cardiovascular system: the uncontrolled case.

A mathematical model was developed to study and to interpret the results of different experiments undertaken in the field of fetal cardiovascular physiology. This model consists of a total of six peripheral blood compartments and a detailed description of the heart. The unique characteristics of the fetal circulation, particularly the ductus arteriosus, the foramen ovale, and the placenta are incorporated into this model. No control mechanisms are incorporated. The model was validated by simulating several previously described experiments. First, the performance of the individual ventricles was measured. The results indicate that, in the normal physiological situation, the right ventricle is working near the upper limits of its function while the left ventricle works below its limits. Second, the circulatory system was stressed by increasing the blood volume and the results show a shift from right to left in the relative contributions of each ventricle to the total cardiac output. Finally, effects of clamping the several blood vessels of the umbilical cord were studied.