Assessing the accuracy of two‐dimensional phase‐contrast MRI measurements of complex unsteady flows

Two‐dimensional phase‐contrast MRI measurements of complex unsteady flows have been assessed for accuracy, together with procedures used to improve the precision of the measurements. Velocity measurements of single harmonic sinusoidal flow in a rigid bypass graft model with a fully three‐dimensional geometry were compared to an accurate numerical solution of the Navier‐Stokes equations for the same flow. Axial velocity profiles from the MRI were compared with the computational data, and instantaneous root mean square (rms) differences were calculated. Despite the complexity of the flow, with the aid of phase angle dynamic range extension, a spatially and temporally averaged rms error of between 7.8% and 11.5%, with respect to the spatially and temporally averaged velocity, was achieved. Spin saturation primarily and phase dispersion secondarily in complex transient recirculation zones were found to be significant contributors to overall error. Cross flow effects were also investigated but were of lesser significance. The result confirms the suitability of the technique for measuring complex unsteady flows. J. Magn. Reson. Imaging 2001;14:714–723. © 2001 Wiley‐Liss, Inc.

[1]  D W Kormos,et al.  Separation of true fat and water images by correcting magnetic field inhomogeneity in situ. , 1986, Radiology.

[2]  R. R. Ernst,et al.  Application of Fourier Transform Spectroscopy to Magnetic Resonance , 1966 .

[3]  T E Conturo,et al.  Signal‐to‐noise in phase angle reconstruction: Dynamic range extension using phase reference offsets , 1990, Magnetic resonance in medicine.

[4]  R Frayne,et al.  Effects of physiologic waveform variability in triggered MR imaging: Theoretical analysis , 1994, Journal of magnetic resonance imaging : JMRI.

[5]  J. Womersley Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known , 1955, The Journal of physiology.

[6]  D. Hearshen,et al.  Comparison of velocity‐encoded MR imaging and fluid dynamic modeling of steady and disturbed flow , 1992, Journal of magnetic resonance imaging : JMRI.

[7]  D Meier,et al.  Quantitative flow measurements on phantoms and on blood vessels with MR , 1988, Magnetic resonance in medicine.

[8]  Q. Xiang,et al.  Temporal phase unwrapping for cine velocity imaging , 1995, Journal of magnetic resonance imaging : JMRI.

[9]  Sherwin,et al.  Tetrahedral hp Finite Elements : Algorithms and Flow Simulations , 1996 .

[10]  D. Saloner,et al.  MR imaging of flow through tortuous vessels: A numerical simulation , 1994, Magnetic resonance in medicine.

[11]  B. Rutt,et al.  Frequency response of retrospectively gated phase‐contrast MR imaging: Effect of interpolation , 1993, Journal of magnetic resonance imaging : JMRI.

[12]  R Frayne,et al.  MR measurement and numerical simulation of steady flow in an end-to-side anastomosis model. , 1996, Journal of biomechanics.

[13]  Richard Frayne,et al.  Accuracy of MR phase contrast velocity measurements for unsteady flow , 1995, Journal of magnetic resonance imaging : JMRI.

[14]  D N Firmin,et al.  The application of phase shifts in NMR for flow measurement , 1990, Magnetic resonance in medicine.

[15]  René M. Botnar,et al.  Hemodynamics in the carotid artery bifurcation: a comparison between numerical simulations and in vitro MRI measurements. , 2000, Journal of biomechanics.

[16]  D. Ku,et al.  Unsteady entrance flow development in a straight tube. , 1994, Journal of biomechanical engineering.

[17]  George Em Karniadakis,et al.  TetrahedralhpFinite Elements , 1996 .

[18]  D. Parker,et al.  Accuracy of phase‐contrast flow measurements in the presence of partial‐volume effects , 1993, Journal of magnetic resonance imaging : JMRI.

[19]  T K Foo,et al.  Improved ejection fraction and flow velocity estimates with use of view sharing and uniform repetition time excitation with fast cardiac techniques. , 1995, Radiology.

[20]  V. Sottiurai,et al.  Distal anastomotic intimal hyperplasia: histopathologic character and biogenesis. , 1989, Annals of vascular surgery.

[21]  S. Sherwin,et al.  The influence of out-of-plane geometry on the flow within a distal end-to-side anastomosis. , 2000, Journal of biomechanical engineering.

[22]  H Engels,et al.  Evaluation of magnetic resonance velocimetry for steady flow. , 1990, Journal of biomechanical engineering.

[23]  A Herment,et al.  Improved estimation of velocity and flow rate using regularized three‐point phase‐contrast velocimetry , 2000, Magnetic resonance in medicine.

[24]  D N Firmin,et al.  Dynamic range extension of cine velocity measurements using motion registered spatiotemporal phase unwrapping , 1996, Journal of magnetic resonance imaging : JMRI.

[25]  K. T. Scott,et al.  Non-planar curvature and branching of arteries and non-planar-type flow , 1996, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[26]  M H Buonocore,et al.  Visualizing blood flow patterns using streamlines, arrows, and particle paths , 1998, Magnetic resonance in medicine.

[27]  Adrian T. Lee,et al.  Three‐Point Phase‐Contrast Velocity Measurements with Increased Velocity‐to‐Noise Ratio , 1995, Magnetic resonance in medicine.

[28]  C. R. Ethier,et al.  Steady and pulsatile flow fields in an end-to-side arterial anastomosis model. , 1990, Journal of vascular surgery.

[29]  D. N. Firmin,et al.  Combined MRI and CFD analysis of fully developed steady and pulsatile laminar flow through a bend , 1998, Journal of magnetic resonance imaging : JMRI.

[30]  Spencer J. Sherwin,et al.  Helix And Model Graft Flows: Mri Measurement And Cfd Simulations , 1997 .

[31]  B. Robinson,et al.  Analysis of encoding efficiency in MR imaging of velocity magnitude and direction , 1992, Magnetic resonance in medicine.

[32]  Richard Frayne,et al.  Visualizing three‐dimensional flow with simulated streamlines and three‐dimensional phase‐contrast MR imaging , 1992, Journal of magnetic resonance imaging : JMRI.