Samuel Edward Bibelhauser1, Sean P Callahan1, Narayana Singam2, Marcus Stoddard2,3, and Amir Amini1,3
1Electrical and Computer Engineering, University of Louisville, Louisville, KY, United States, 2Division of Cardiovascular Medicine, University of Louisville, Louisville, KY, United States, 3Radiology, VA Medical Center, Louisville, KY, United States
Synopsis
Effective Orifice
Area (EOA) is a valuable diagnostic parameter for the determination of the
severity of Aortic Stenosis(AS). A 4D Flow based measurement of this parameter
was developed, and tested. The method
was validated on a rigid phantom, applied to 4 healthy volunteers and 17
patient subjects with moderate to severe AS.
The resultant EOA, for patients, was compared to their transthoracic
echocardiography (TTE) with Doppler result.
The comparison used Bland Altman analysis and linear regression which
revealed a bias of 0.04 cm2 and correlation coefficient of 0.92. Showing a high
level of concordance between the two modalities.
Introduction
Calcification of aortic valves is the common cause of a
chronic and progressive valvular disease called Aortic Stenosis(AS). This calcific disease causing a reduction in leaflet
motion[1, 2].
Determination of the AS severity is typically discerned from effective orifice
area(EOA), transvalvular pressure gradient(TVPG), ejection time, peak outflow
tract velocity, and peak aortic jet velocity. Transthoracic echocardiography(TTE) with Doppler imaging is reliable and has been the standard for evaluation
of AS[3].
The objective of this study was to validate a new 4D flow based EOA measurement.Methods
4D flow MRI was performed on two stenotic phantoms, four healthy volunteers, and 17 AS subjects. Software was developed which used contours of the luminal flow area on
all slices to measure EOA for all studies. The applied
method for EOA calculation is based on the equation below, where SVLVOT is the stroke volume(SV) through the LVOT, and velocity time integral of the aorta(VTIAorta).
$$EOA=SV_{LVOT}/VTI_{Aorta}$$
The SV is the total systolic flow volume ejected from the left
ventricle, and was calculated via an integral applied to flow out of the aortic valve[4]. First, a mask was determined at the valve
location via a velocity threshold(Figure 1).
The net flow was then integrated over time
to yield total flow through the aortic valve over time corresponding to the
stroke volume. The threshold was
handpicked by inspecting average velocity plots(Figure 2) across the flow volume for each time
point. The generated mask was calculated for each slice with the same
threshold and applied uniformly across time.
The area generated from the mask was considered the Region of Interest(ROI) for all calculations. The VTI was calculated for each slice distal to the valve. The aortic
valve slice was qualitatively determined using GTFlow (Gyrotools, Zurich,
Switzerland), and its respective VTI was used for the EOA calculation. The VTIAorta was determined by finding the maximum downstream VTI.
In-vitro validation was performed using
a two stenotic flow phantoms in a closed-loop flow system[5]. Both phantoms were straight precision machined
acrylic pipes with 2.54 cm diameters which had a Gaussian shaped narrowing. The narrowing was measured via a high resolution CT, simulating a 87% and 75 % area occlusion[5].
A programmable pump capable of generating physiologic flows drives flow in the
circuit and a knee coil was used for imaging.
Four healthy volunteers were scanned for further validation. These
volunteers had an average age of 25. The
healthy volunteers were used to further validate the EOA calculation. A healthy
EOA is considered greater than 3.0 cm2[6].
The study of the AS subjects was
approved by the Institutional Review Board and all subjects gave informed
consent to the imaging study. Subjects demographic information was as follows:
all male aged 69 ± 8.6 years old. Five of the patients were diagnosed with mild
AS, while the remaining were diagnosed with severe AS. Each subject
underwent both a TTE and a 4D Flow MRI study.
4D flow imaging in human subjects was performed by
using a Philips Achieva 1.5 T with a 16 channel Torso XL coil. The resolution was 2.5 mm x 2.5 mm x
5 mm, with a field of view of 200 mm x 200 mm x 50 mm. This was acquired over 16 heart phases, with
a flip angle of 8 degrees. The Venc =
400 cm/s, TE/TR=2.8/4.1 ms. Results
The result of this method for the phantoms can be seen in Table 1. The phantom offers a stable rigid EOA to
initially test the method. The method
was applied to healthy volunteers, and the results can be seen in Table 2. The volunteers did not have a TTE exam, but
all results yielded an EOA consistent with a healthy EOA.
Figure 3
compares EOA results from TTE and 4D flow MRI. As shown through a linear
regression analysis, the slope and intercept for TTE vs. MRI measurement is 0.8
and 0.16, with a correlation coefficient of 0.92. N represents the number of samples; the Sum
of Squared Errors of prediction(SSE) is also reported in each plot. A smaller
value represents a stronger fit. $$$R^{2}$$$ is the coefficient of
determination, where 1.0 is the best possible fit. Reproducibility coefficient(RPC), is 1.96 * Standard Deviation(SD), and CV is the coefficient of
variation, the percent Standard Deviation(SD) of the mean values. For example,
in Figure 3
the CV is 9.6%, which implies the average deviation is 9.6% from the accurate
data. The p-value is also displayed in
the right margin, indicating the probability that an EOA measurement from a TTE
measurement would be greater than MRI results.Conclusion
This abstract demonstrates that 4D flow MRI is accurate in calculating
EOA with the continuity equation. Seventeen subjects with AS
were scanned with Cartesian 4D flow MRI and the results are highly correlated
with TTE Doppler measures of EOA. Bland-Altman analysis
revealed a slight underestimation of 4D flow MRI for EOA relative to
TTE. Phantom EOA also correlated highly with the
true area of the occlusion. Normal volunteer results behaved as expected
with EOA being greater than 3 cm2.
In conclusion 4D flow MRI provides an effective method for calculation
of EOA.Acknowledgements
Funded
by NIH (grant: 1R21-HL132263)References
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