Mu Lin1, Xiaozhi Cao1, Congyu Liao1, Xu Yan2, and Jianhui Zhong1
1Center for Brain Imaging Science and Technology, Zhejiang University, Hangzhou, China, People's Republic of, 2MR Collaboration NE Asia, Siemens Healthcare, Hangzhou, China, People's Republic of
Synopsis
Multi-component tissue model with priori T1 and T2
have been used to decompose MRF data. We propose that tissue classification can
be improved when the selection uses clustering method based on
cross-correlation. Our results from phantom and in vivo measurements show that
the method successfully separates signal from different tissue types, allows
extraction of tissue fractions, and results are more robust with image quality.Purpose
Magnetic
Resonance Fingerprinting (MRF) framework can be used in acquiring quantitative
mappings of multiple parameters (i.e. T
1, T
2 and proton density) in a very rapid
way [1]. The huge data provided by MRF contains abundant biological information
including tissue composition. The signal evolution in a single voxel can be
regarded as a superposition of the signal from several tissue types, such as
gray matter (GM), white matter (WM) and cerebrospinal fluid (CSF). Based on modeling
this multicomponent nature of signal, the relative fractions of each tissue can
be obtained, which is of potential diagnosis value [2]. In order to decompose
signal, a multi-component model should be built and it requires a priori knowledge of T
1 and T
2 of each
component. However, in practice the system instability and individual
differences can make the selection of T
1 and T
2 problematic, and inaccurate
parameters can lead to biased fractions as well as great fitting residuals. To
optimize the selection of T
1 and T
2 for decomposing brain tissue, we propose to
correlate the signals with themselves in a data-driven way and cluster them
based on the correlation map. The T
1 and T
2 are extracted from the centers of
each cluster as the optimized value. Using both phantom and in-vivo
measurement, we demonstrate that the tissue fraction maps based on the proposed
method can provide both good tissue differentiation and improved robustness.
Methods
MRF measurements were
performed on a 3T system
(MAGNETOM Prisma, Siemens Healthcare,
Erlangen, Germany) with an inversion-prepared FISP MRF
sequence [3]. The TR varied from 10 to 12 ms and the flip angle varied from 5
to 80 degrees. The total scanning time was 10s. A PVP water solution phantom was made with
concentration of 0%, 5%, 10%, 15%, 20%, 30% of PVP in separate compartments
respectively.
The cross-correlation are performed for each pair
of voxels. The calculated correlation coefficients are used as the distance
function for fuzzy c-means (FCM) method. In every step of FCM, the centers of
clusters are adjusted until they can represent the members optimally. When the
clustering is completed, each center is matched to MRF dictionary so that their
T
1 and T
2 can be obtained. We first cluster the voxels into five categories and
then choose three of them that can best represent WM, GM and CSF. The extracted
T1 and T2 are then used to decompose MRF signal with a three-component model as described
in [1].
Our methods are compared with the method
proposed in the original MRF paper [1], in which the signal model uses
empirical values of T
1/T
2 for each type of tissue: white matter (660/70
ms), gray matter (1200/90 ms) and CSF (5000/700 ms). The relative
residual is calculated as 2-norm of fitting residual divided by the 2-norm of
signal.
Results
& Discussion
The phantom result shows that the
similarity between signal are negatively correlated with the concentration
difference, as clearly demonstrated in the correlation map (Fig. 1b). The
diagonal positions provide the intra-sample similarity and are much brighter
than the rest that represent the inter-sample similarity. The darkest blocks
are at the left bottom and right top corners, which represents the
dissimilarity between 30% PVP and water.
The brain tissues are clustered according
to their correlation into five types (Fig. 2). From
their T
1 and T
2 values and spatial distribution, they can be identified as pure WM
(Fig. 2c), pure GM (Fig. 2d), pure CSF (Fig. 2g) and two partial volume types
of GM and CSF (Fig. 2e and 2f) respectively. The T
1/T
2 of pure WM (800/90 ms), GM
(1100/110 ms) and CSF (3500/2000 ms) are chosen as the optimized value to do
decomposition.
Compared
to the anatomic picture (Fig. 3g), both our and Ma D et al.’s method can
provide a good contrast between WM and GM as shown in Fig. 3a and 3d. In the forehead,
some parts of gray matter are missing in the previous method but not in our
image (Fig. 3b and 3e). The relative residual of our method is also lower,
which means less anatomic information is lost (Fig. 3h and 3i). We believe these
improvements come from the use of optimized T
1 and T
2 to represent the signal
rather than empirical values. We also tried more than five clusters in the
first step but there is no further improvement.
Conclusion
Compared
to the original method of using a model of empirical T
1 and T
2, the proposed
method makes full use of the similarity between signal in voxels, which results
in a more robust brain segmentation and tissue fraction estimation.
Acknowledgements
No acknowledgement found.References
[1] Ma D et al. Nature 495:187-92; 2013.
[2] Badve C et al. Proc ISMRM 22 (2014)
p.3234.
[3] Jiang Y. et al. MRM 2014, DOI:
10.1002/mrm.25559.