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Updated: Jun 19, 2026

Blood Flow Imaging with Ultrafast Doppler
Published on: October 14, 2020
Womersley number-based estimation of flow rate with Doppler ultrasound: sensitivity analysis and first clinical
Christian Vergara1, Raffaele Ponzini, Alessandro Veneziani
1Department of Information Technology and Mathematical Methods, Università degli Studi di Bergamo, viale Marconi 5, Dalmine (BG), Italy. christian.vergara@unibg.it
Abstract:
In this paper we continue in investigating the approach we have proposed in a paper recently published, for a reliable estimate of (peak systolic) blood flow rate from velocity Doppler measurements. Basic features of this approach together with some in silico test cases were discussed in that work. Here, we provide more insights of this approach by performing a sensitivity analysis of the formulas relating blood flow rate to velocity. In particular we analyze how our estimates are affected by perturbation or errors in measurements in comparison with a standard method for catheter based estimates based on the assumption of a parabolic velocity profile. A first glance to in vivo clinical applications is given as well.
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