Prem Venugopal1, Ek Tsoon Tan1, Peter Lamb1, Christopher J Hardy1, and Thomas K Foo1
1GE Global Research, Niskayuna, NY, United States
Synopsis
Pulse wave
velocity (PWV) is a commonly used surrogate for arterial stiffness. This
abstract describes a new method to estimate arterial PWV by using MRI
phase-contrast data to tune a 1D blood flow model describing the hemodynamics and
propagation of the arterial pulse wave. Results obtained in a single volunteer
indicate that the proposed approach could be used with
low time resolution methods such as 4D Flow MRI to obtain PWV in the aorta with
much lower variability than the foot-to-foot method.Introduction
Pulse wave velocity
(PWV) is a commonly used surrogate for arterial stiffness. One technique that
has been used in the past to estimate PWV from MRI or ultrasound velocity data is
the foot-to-foot method (1, 2). However, studies have shown that the estimation
of PWV by this method can be affected by reflections and by choice of fiduciary
point for the “foot” of the flow waveform (3). Here we describe a new method to
estimate arterial PWV by using MRI phase-contrast data to tune a 1D blood flow model
describing the hemodynamics and propagation of the arterial pulse wave (Fig. 1).
Unlike the foot-to-foot method, the proposed method does not depend on choice
of fiduciary point. Also, unlike the foot-to-foot method, it accounts for
reflections from both within and outside the computational domain.
Methods
Phase-contrast MRI data were acquired in
a single breath-hold from an oblique sagittal plane containing a long section
of descending aorta, with velocity encoded in the cranio-caudal direction, and
with a velocity-encoding strength (VENC) of 150 cm/s and a temporal resolution
of 24 ms. The MRI magnitude images were semi-automatically segmented to obtain
the vessel boundaries (yellow lines, Fig. 1) and centerline at each time frame.
This was done by seeding 10-15 points
along either side of the aorta, fitting each point to the edges using an error
function at each phase of the cardiac cycle, and using spline interpolation to
determine edges at intermediate locations. The flow rate at a given time
and position along the aorta was calculated from the vessel diameter and the spatial
velocities measured across the width of the vessel at that location. A fairly
straight segment of the vessel of length ~10 cm was analyzed in the current
study. The vessel centerline, cross-sectional areas and flow rates determined
from MRI data were used to construct a 1D blood flow model of the vessel
segment. The flow rate computed at the proximal end of the vessel segment was
used to impose inflow boundary conditions on the 1D model while a 0D lumped
model was used as outflow boundary condition. The unknowns in the model, vessel
and lumped model compliance, were determined by minimizing the difference
between predicted flow rates and measured flow rates at three evenly spaced
locations other than the inflow boundary. PWVs along the vessel segment were
computed once vessel compliance was known. To simulate the lower temporal
resolution seen in 4D Flow MRI, we down sampled the original data set to 48 ms
and 72 ms, re-computed the flow rates and cross-sectional areas and re-ran
calculations with the 1D model. Further, we compared our results against the foot-to-foot
tracking method for both the baseline and down-sampled cases using flow rates
computed at 4 locations, inlet and the three locations used for model tuning. The
fiduciary point chosen for the foot was 15% of the peak flow.
Results
Figure 2 shows the PWVs computed for the
baseline and down-sampled cases for both the present approach as well as the foot-to-foot
tracking method. While the variability in the computed PWVs with the present
approach increases slightly as the temporal resolution is degraded, it remains much
lower than that obtained with the foot-to-foot method.
Discussion
Results of the current study indicate that the
proposed approach could potentially be used with low-time-resolution methods
such as 4D Flow MRI to obtain PWV in the aorta with much lower variability than
the foot-to-foot method. Further studies are planned to validate the PWV values
obtained with the present method with high resolution PC-MRI.
Acknowledgements
The authors would like to thank General Electric for giving permission to publish this abstract.References
1) CJ
Hardy, et al. Magn Reson Med. 1994;31(5):513-20
2) V
Taviani, et al. J Magn Reson Imaging. 2010;31(5):1185-94
3) RT
Hoctor, et al. IEEE Trans Ultrason, Ferroelectr, Freq Control. 2007;54:1018-1027.