J. Engvall et al., IMPORTANCE OF COLLATERAL VESSELS IN AORTIC COARCTATION - COMPUTER-SIMULATION AT REST AND EXERCISE USING TRANSMISSION-LINE ELEMENTS, Medical & biological engineering & computing, 32(4), 1994, pp. 190000115-190000122
Coarctation of the aorta causes arterial hypertension in the upper bod
y and a low blood pressure downstream. Collateral blood vessels compen
sate by reducing the downstream pressure drop. To study the effect of
various coarctation and collateral properties, we designed a computer
model of the arterial circulation. The model contains a flow sources a
nd a library of subroutines for the lines and connectors. Distributed
friction and wall viscoelasticity effects are included. Computer simul
ation was performed, using published values for vessel dimensions, in
an arterial model with a coarctation and one lumped collateral. Rest a
nd two levels of exercise (by increased heart rate) were studied. With
out a collateral, we found the downstream pressure of the model was ex
tremely dependent on the size of the coarctation. A collateral vessel
reduced the pressure difference between the up- and downstream circula
tions. for a severe coarctation, the length and the diameter of the co
llateral were the main factors determining the downstream pressure and
flow, whereas wall stiffness of the collateral had little influence.
The relationship between mean pressure drop and cardiac output in coar
ctation was also dependent on the peripheral resistance in different f
low beds, especially during exercise.