R. Frayne et al., ACCURACY OF MR PHASE-CONTRAST VELOCITY-MEASUREMENTS FOR UNSTEADY-FLOW, Journal of magnetic resonance imaging, 5(4), 1995, pp. 428-431
The accuracy of MR phase contrast (PC) velocity measurements for unste
ady flow has been quantitatively assessed. Spatially resolved velocity
fields were measured in a long straight tube using a gated PC techniq
ue, and the resulting MR PC velocity data were compared with velocitie
s derived from the analytic Womersley solution to the Navier-Stokes eq
uations governing fluid now. The overall root-mean-square [rms] differ
ence between the measured and analytic velocities was 1.6 cm s(-1) for
nominally sinusoidal flow waveforms with peak velocities ranging from
51.6 cm s(-1) to 59.8 cm s(-1). This rms difference corresponded to 7
.5% of the mean fluid velocity, which is similar to the cited accuracy
of approximately 5% for MR PC velocimetry for steady flows. Linear re
gression between the PC velocity measurements and the velocities obtai
ned using the analytic expression was highly significant [r(2) = 0.997
] and yielded a slope of 0.998, close to the expected value of 1. We c
onclude that the gated MR PC velocity measurements in unsteady flow ar
e accurate.