Mikaƫl Simard1, Emily J. McWalter2, Garry E. Gold2, and Ives R. Levesque1,3
1Medical Physics, McGill University, Montreal, QC, Canada, 2Radiology, Stanford University, Stanford, CA, United States, 3Research Institute of the McGill University Health Centre, Montreal, QC, Canada
Synopsis
Quantitative magnetization transfer (QMT) probes
macromolecular content in tissue and may be a useful tool in the early detection
of meniscal degeneration. QMT mapping of the meniscus was performed in 3
cadaver knee specimens in situ, and
repeated ex situ following dissection
and immersion in perflubron. After extraction, a decrease in the restricted
pool fraction f was noted, while T1obs and T1f increased. A trend towards lower values of the exchange rate kf was noted after excision. T2 and T2r were relatively constant. The variation in QMT parameters may
be caused by the diffusion of perflubron into the ex situ samples.Purpose
Early detection of meniscal degeneration is essential for developing and
targeting treatment strategies for osteoarthritis [1]. Quantitative
magnetization transfer (QMT) may be particularly useful for this purpose
because it probes macromolecules in tissues, which degenerate in osteoarthritis.
To validate QMT metrics, comparisons to histology and biochemical markers must
be carried out. Either whole cadaver knee specimens or menisci obtained from
total knee replacement surgeries are most often used. The latter are easy to
procure and are comparatively inexpensive, but tissue-air susceptibility artefacts are an issue;
as such, these specimens are often scanned in perflubron (a fluid without
hydrogen) to avoid compromising
the dynamic range in the image. The aim of this work was therefore to
compare QMT parameters of menisci in situ
(whole cadaver specimen) and ex situ
(menisci only, in perflubron).
Methods
Meniscus MT data were acquired for three cadaver
knee specimens at 3T (GE MR 750,
GE Healthcare, Waukesha, WI) using a 16-channel receive-only coil in situ and a single channel surface
coil ex situ with a SPGR sequence
(FA=10°, TR=48 ms, 0.625x0.625 in-plane
resolution, 3 and 2 mm slice thickness in
situ and ex situ) and a MT sensitizing pre-pulse (Fermi
pulse, duration 8 ms). MT pulse flip angles of 300, 450° and offset frequencies of
1.5, 3.5, 7.8, 17.8 and 40.5 kHz were used for 10 total samples in the Z-spectrum.
The required observed $$$T_1$$$ ($$$T_{1obs}$$$) and $$$B_1$$$ variations were mapped with the DESPOT1 [2] and dual angle methods [3],
respectively. $$$T_2$$$ data was acquired [4] and mapped [5]. The menisci from each
cadaver knee were excised and submerged in perflubron. Medial and lateral menisci were segmented manually,
slice-by-slice, for analysis purposes.
For QMT
mapping, custom software (MATLAB® 2015b, the MathWorks, Natick, MA) was written
based on the rectangular pulse model of off-resonance saturation [6] modified
for the Fermi pulse shape. A voxel-wise Levenberg-Marquardt fit was used to find
the best QMT parameters. Overfitting of the QMT parameters occurred when using
5 free QMT model parameters with 10 measurement points, so two strategies were
used to obtain robust estimation. First, the number of free parameters was
reduced to 4 by fixing the $$$T_{1f}/T_{2f}$$$ ratio to 55 and 80 for in situ and ex situ specimens
respectively, based a priori
knowledge of $$$T_{1obs}$$$ and $$$T_2$$$ measurements. Second, in the fitting process, a
regularization term $$$\lambda || k_f ||_2 $$$ (L2-norm of the exchange rate, $$$k_f$$$) was
added to penalize large, physically unrealistic values of $$$k_f$$$. The
regularization parameter $$$\lambda$$$ was set to 0.001 to balance the bias
introduced by regularization and the variability of $$$k_f$$$. The final QMT parameters calculated were: the restricted pool
fraction $$$f$$$, exchange rate $$$k_f$$$, $$$T_1$$$ relaxation
time of the free pool ($$$T_{1f}$$$) and $$$T_2$$$ relaxation time of the restricted ($$$T_{2r}$$$) pool.
Differences in QMT
parameters between the in situ and ex situ cases and lateral and medial
menisci were determined using Friedman’s two-way non-parametric test.
Results
Mean $$$f$$$, $$$T_{1obs}$$$ and $$$T_{1f}$$$ varied significantly between the
in situ and ex situ case, while mean $$$k_f$$$, $$$T_{2r}$$$ and $$$T_2$$$ were relatively constant (Figure
1). Representative QMT parameter maps are presented in Figure 2. Values of $$$f$$$ were systematically lower (p<0.01)
in the ex situ samples than in situ samples, and consistently lower
in the medial menisci (p=0.03). $$$T_{1obs}$$$ and $$$T_{1f}$$$ in the menisci increased in all specimens after excision (p<0.01 for both). $$$T_{2r}$$$ showed no obvious variation after extraction or between lateral and medial
samples. A small trend towards lower values of $$$k_f$$$ after excision was noted, but
the high variability of $$$k_f$$$ may limit the interpretation of this change.
Discussion
We
developed an imaging and post-processing protocol for QMT parameter mapping in
the meniscus and showed that some QMT parameters vary between the in situ and ex situ cases. Estimates of $$$f$$$, $$$T_{1f}$$$ and $$$T_{2r}$$$ were robust, but our confidence
in estimates of $$$k_f$$$ is slightly lower due to the regularization and the fixed $$$T_{1f}/T_{2f}$$$ ratio. $$$T_2$$$ values (between 9-16 ms) were similar to previously published $$$T_2$$$ values in the meniscus [7-9] (average of 11 ms). In the future a greater number
of Z-spectrum points may need to be collected or the particular points collected
optimized. Variations in QMT parameters may be due to the diffusion of perflubron
into the ex situ samples; further studies of perflubron dynamics are necessary
to understand the observed differences. Overall, QMT may be a more sensitive
measure of meniscal degeneration because it directly probes the changes in the
macromolecular pool ($$$f$$$, $$$k_f$$$, $$$T_{2r}$$$) that occur in osteoarthritis.
Acknowledgements
Research support: FQRNT, NSERC-CREATE MPRTN grant 432290, The MGH
Foundation, R01 AR063643-01, R01 EB002524-01, NIH Grant 5K24AR062068-02, GE
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