Xiaopeng Zong1 and Weili Lin1
1Biomedical Research Imaging Center and Department of Radiology, University of North Carolina at Chapel Hill, Chapel Hill, NC, United States
Synopsis
Collagenosis-induced narrowing of deep medullary vein
(DMV) caliber has been implicated as one of the main causes of small vessel
disease. However, a non-invasive imaging
method for monitoring the DMV narrowing is still lacking. We present an MRI method for non-invasive
measurement of DMV caliber and oxygenation level base on MRI phase and complex
images acquired using a double echo gradient echo sequence at 7 T. The measured DMV caliber distribution agreed well with earlier
report. Our approach can serve as an invaluable tool for studying the role of venous lumen
narrowing in the pathogenesis of small vessel disease.
Introduction
Collagenosis
induced narrowing of deep medullary vein (DMV) caliber can
reduce arteriovenous pressure differences and thus blood flow. Therefore, collagenosis may be
a potential contributor of cerebral small vessel diseases (SVD).1-3 Non-invasive measurements of DMV caliber may
serve as an early imaging biomarker of SVD.
However, such a technique is still lacking. Although the CISSCO4
method can simultaneously estimate vessel size and susceptibility in the
presence of partial volume effects, it is not applicable to the DMVs due to the
small DMV diameters (100 – 250 μm).5 Here, we propose to estimate DMV caliber using magnetic moment of DMVs measured from extravascular spatial phase
patterns and venous blood-tissue susceptibility difference (Δχ) measured on
larger ventricular veins, assuming an equal Δχ in DMV and downstream
ventricular veins. Under the same
assumption, the DMV oxygenation level (Yv) can also be obtained from
Δχ.6Theory
The phase
shift (Φ) resulting from magnetic field generated by a long blood vessel in a voxel
is:
Φ=γB0Δχa2sin2θcos(2φ)TE/2r2, where
γ is the gyromagnetic ratio, B0 the main magnetic field
strength, a the vessel radius, θ the angle
between the vessel and B0,
φ the angle between B0 projection
to the perpendicular plane and the line from the voxel to the vessel centerline,
TE the echo time, and r the distance from the voxel to the vessel
centerline. The magnetic moment is
defined as
m=B0Δχπa2and can be calculated from the slope of the
Φ vs cos(2φ)/2r2 plot. To
calculate a from m, Δχ is needed which can be obtained from large downstream veins where
sufficient intravascular SNR is present by fitting the complex-valued image
around a vessel with a model image calculated using the signal equations described
in Hsieh et al.4 From Δχ, Yv can be calculated
based on the linear relationship between them.6
Methods
Experiments
were performed on a 7T Siemens Magneton MRI scanner. A Nova RF coil with 8 channels for
transmitting and 32 channels for receiving was used. Images were acquired with a flow-compensated double
echo gradient echo sequence with the following imaging parameters: TR = 21 ms;
TE1/TE2 = 7.59/15 ms; resolution = 0.43×0.43×0.4 mm3; matrix = 512×416×208;
FA = 10o. Four healthy
volunteers (ages 21 – 28) were recruited for the study after obtaining informed
consents.
About 50 DMVs were manually delineated in each subject using the simple
neurite tracer plugin in imageJ.7 For each DMV voxel, a 2D image perpendicular to the vessel was obtained by
trilinear interpolation of the 3D complex image to a resolution of
0.2×0.2×0.2 mm3. Afterwards,
the
Φ vs cos(2φ)/2r2 scatter plot at TE2 of voxels in
a concentric ring as shown in Fig. 1A was fitted with a straight line to obtain m.
To measure Δχ
and Yv, anterior septal veins (ASV) were manually delineated and the
complex value 2D images in the plane perpendicular to the vein were generated
in the same manner as above. The images
of both TEs were fitted simultaneously with model images calculated
numerically with Δχ, a, background phase, blood and
tissue signal intensities, and vessel center position as free parameters. The effect of blurring due to finite k-space
sampling was also taken into account during the calculation. Only voxels within a circle centered at the
vessel as shown in Fig 1B were included in the fitting. Our method differed from that of Hsieh el al.4
such that the signals within the circle were not summed which improved fitting
stability due to increased number of data points.
Results
The top and bottom panels of Figure
1 show the phase maps of the resampled 2D images and the corresponding fitting
results, respectively at the DMV (1A) and ASV (1B). From the fitted ASV images, mean Δχ of 0.41±0.11 ppm (mean±std;
SI unit) and a diameter of 0.73±0.21 mm were obtain across all subjects,
consistent with earlier results.8, 9 The fitted Δχ gave a Yv value of
0.55±0.11, assuming an average hemocrit level of 0.4.6 Using
the fitted Δχ
and m,
DMV calibers were obtained and are displayed as an overlay in Fig. 2A from
a representative subject. No significant
increase of caliber along the draining path was observed as shown in Fig.
2B. The distribution of DMV calibers is shown in Fig. 2C which has a range of 100 to 350 μm with a peak at ~200 μm, in good agreement with earlier
reports.5CONCLUSION
A non-invasive approach for
measuring the DMV caliber and oxygenation level was presented. The new approach can serve as an invaluable
tool for studying the role of DMV
lumen narrowing in the pathogenesis of small vessel disease, which has been
implicated as one of the main phenotypes of vascular dementia.10
Acknowledgements
The work was supported by NIH
grant 5R21NS095027-02.
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