Shraddha Pandey1,2, Arthur David Snider1, Wilfrido Moreno1, and Natarajan Raghunand2
1Electrical Engineering, University of South Florida, Tampa, FL, United States, 2Cancer Physiology, Moffitt Cancer Research Center, Tampa, FL, United States
Synopsis
Multispectral
analysis of multiparametric MRI (mpMRI) images is being explored as an approach
to objectively quantify intratumoral heterogeneity. However, acquisition of
multiple co-registered parameters maps such as T1, T2, T2* and ADC for this
task can be time-consuming. We propose a joint reconstruction method that
exploits shared structural information between co-registered MRI parameter maps
that provides high similarity between multispectral clusters defined on
parameter maps from undersampled data and the ground truth fully-sampled maps
of M0, T1, T2 and T2*.
Purpose
In the early years of the current era of
precision medicine, the envisioned role for imaging was to provide biomarkers
of the presence of specific molecular targets in the tumor to guide choice of
therapies. It is now recognized that intratumoral heterogeneity of microenvironments
and tumor phenotypes, and the interrelationships between the two, plays a major
role in treatment failure and the development of resistant clones [1]. In this
scenario, a meaningful role for biomedical imaging is to provide objective
measures of tumor heterogeneity to guide adaptive therapy regimens [2]. Multispectral
analysis of multiparametric MRI (mpMRI) images has been utilized to objectively
segment images into tissue types [3], for differential diagnosis [4], and for
segmentation of tumors on the basis of response to therapies [5] or as
predictors of patient outcomes [6]. MRI offers excellent soft-tissue contrast and
the option of varying the nature of observed contrast between tissues, such as
on T1-weighted (T1W), T2-weighted (T2W), and T2*-weighted (T2*W) scans.
Co-registered T1W, T2W and T2*W images can be thought of as constituting
multiple ”color” channels between which intensity and contrast information
varies but structural content is shared. Unlike in multi-color optical imaging,
mpMRI “channels” are typically acquired sequentially, which increases the
overall time a subject must spend in the scanner. This is especially so when
quantitative maps of T1, T2 and T2*, rather than just T1W, T2W and T2*W images,
are desired for quantitative comparisons between patients and scan dates.
Accelerated schemes for acquiring and reconstructing MRI images in a
task-specific manner are therefore highly desirable. Here we present an
approach to jointly reconstruct maps of T1, T2* in-phase (T2*Win),
and T2* out-of-phase (T2*Wout), by reference to a series of
co-registered fully-sampled T2W images. Our study hypothesis is that structural
information contained in fully-sampled T2W images can inform the reconstruction
of a series of co-registered under-sampled T1W, T2*Win, and T2*Wout
such that intratumoral subpopulations identified by objective multispectral
clustering on fully-sampled data can be reproduced on the undersampled
reconstructions using substantially less data.Methods
Six mice bearing
subcutaneously implanted Lewis lung carcinoma tumors were imaged on a Bruker
Biospec at 4.7 T, and the following co-registered axial sequences were
acquired: T2 Map (multi-echo spin-echo), in- and out-of-phase T2* maps
(multi-echo gradient-echo), T1 Map (variable TR), ADC map (b = 100, 500, 700 s/mm2), and 3D GRE T1-weighted DCE-MRI
series. The task is to reconstruct the set of undersampled T1w,T2w, T2*w
in-phase and out-of-phase images u from k-space samples acquired below Nyquist
Rate. For this underdetermined system of equations an objective function was
formulated and subjected to constraints derived from a priori information. The objective function to reconstruct the T1w
images is defined in Equation 1, and for reconstructing the T2w, T2*w in-phase
and out-of-phase images is given in Equation 2.
minimize w║u║JTV
s.t. u = M0(1- exp(-TR/T1) ), S(F(u))=f (1)
minimize w║u║JTV s.t.
u = M0(exp(-TE/T2)
), S(F(u))=f (2)
Here, u is the set of L
images of size M x N, f is the k-space data of size M x N x L. S is the
subsampling mask used for all the L k-space; TR is the Repetition time, TE
is the echo time; F is the Fourier Transform Operator, and ║u║JTV
represents the Joint Total Variation of the image u, and w represents the weighing factor
identified from the structures in a fully-sampled T2w image [7]. The objective function is solved
iteratively using the
Alternating Direction Method of Multiplier (ADMM) algorithm [8]. The parameter
maps M0 and T1/T2/T2* are optimized at each iteration. The tissue
parameters M0 and T1/T2/T2* thus reconstructed are subjected to Otsu
clustering [9].Results
Figure 2, 3 and 4 show the Structural Similarity
Index (SSIM) [10] when images and parameter maps reconstructed from undersampled
data and fully-sampled data are compared. The x-axis is the % of the data used
for the reconstruction and the y-axis shows the corresponding SSIM values. From
figures 2, 3 and 4 it is observed that SSIM values predictably improve as the
percentage of the data used for reconstruction increases. Interestingly, high
SSIM values are achieved for the M0, T1, T2 and T2* maps even with 5% of the
sampled k-space data. Figure 5 depicts the intratumoral clusters in M0, T1, T2
and T2* maps computed from undersampled data vs. from fully-sampled data.Discussion & Conclusions
The high similarity between parameter maps
computed from just 5% of the data vs. maps from fully-sampled data (Figure 2, 3
and 4) supports our hypothesis that shared structural similarity between co-registered
T1w, T2W and T2*W images can be exploited to significantly accelerate parameter
mapping. Our goal is to objectively identify intratumoral multispectral
clusters that may correspond to distinct tumor subpopulations, and a
significant similarity was achieved between Otsu clusters identified on M0, T1,
T2 and T2* maps computed using ~20% data vs. ground truth maps (Figure 5). We
are working on strategies to optimize the reconstruction algorithm, and are exploring
non-identical sampling patterns for the multiple echoes/repetitions to decrease
the k-space data required to compute multispectral clusters reflecting tumor
heterogeneity.Acknowledgements
No acknowledgement found.References
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