N. Stergiopulos et al., SIMPLE AND ACCURATE WAY FOR ESTIMATING TOTAL AND SEGMENTAL ARTERIAL COMPLIANCE - THE PULSE PRESSURE METHOD, Annals of biomedical engineering, 22(4), 1994, pp. 392-397
We derived and tested a new, simple, and accurate method to estimate t
he compliance of the entire arterial tree and parts thereof. The metho
d requires the measurements of pressure and flow and is based on fitti
ng the pulse pressure (systolic minus diastolic pressure) predicted by
the two-element windkessel model to the measured pulse pressure. We s
how that the two-element windkessel model accurately describes the mod
ulus of the input impedance at low harmonics (0-4th) of the heart rate
so that the gross features of the arterial pressure wave, including p
ulse pressure, are accounted for. The method was tested using a distri
buted nonlinear model of the human systemic arterial tree. Pressure an
d flow were calculated in the ascending aorta, thoracic aorta, common
carotid, and iliac artery. In a linear version of the systemic model t
he estimated compliance was within 1% of the compliance at the first t
hree locations. In the iliac artery an error of 7% was found. In a non
linear version, we compared the estimates of compliance with the avera
ge compliance over the cardiac cycle and the compliance at the mean wo
rking pressure. At the first three locations we found the estimated an
d ''actual'' compliance to be within 12% of each other. In the iliac a
rtery the error was larger. We also investigated an increase and decre
ase in heart rate, a decrease in wall elasticity and exercise conditio
ns. In all cases the estimated total arterial compliance was within 10
% of mean compliance. Thus, the errors result mainly from the nonlinea
rity of the arterial system. Segmental compliance can be obtained by s
ubtraction of compliance determined at two locations.