Elham Karami1,2,3, Wilfred Lam2, Wendy Oakden2, Margaret Koletar2, Leedan Murray2, Stanley Liu1,4,5,6, Ali Sadeghi Naini1,2,3,6, and Greg Stanisz1,2,7
1Medical Biophysics, University of Toronto, Toronto, ON, Canada, 2Physical Sciences Platform, Sunnybrook Research Institute, Toronto, ON, Canada, 3Electrical and Computer Engineering, Lassonde School of Engineering, York University, Toronto, ON, Canada, 4Radiation Oncology, University of Toronto, Toronto, ON, Canada, 5Biological Sciences Platform, Sunnybrook Research Institute, Toronto, ON, Canada, 6Radiation Oncology, Sunnybrook Health Sciences Centre, Toronto, ON, Canada, 7Neurosurgery and Paediatric Neurosurgery, Medical University of Lublin, Lublin, Poland
Synopsis
Chemical exchange saturation transfer
(CEST) is a promising MR contrast mechanism that has been shown to correlate
with cancer metabolism and reveal regions of active tumour metabolism. However,
the acquisition of CEST-weighted images is time consuming. In this study, computational
methods including unsupervised
learning were adapted to find the minimum number of CEST images
required to segment the intra-tumour distinct metabolic regions
accurately, and to find the number of different cell
groups existing within a tumour. The
results indicate that four intra-tumour regions
can be segmented accurately using only CEST images acquired at 3.5 ppm and 2.0
ppm.
Introduction
Chemical exchange saturation transfer
(CEST) is a promising MR contrast mechanism that has been shown to correlate
with cancer metabolism and reveal regions of active tumour metabolism1. However, the acquisition of CEST-weighted
images with radiofrequency saturation over a wide range of frequency offsets
(“Z-spectra”) is time consuming. The goal of this study was to adapt
computational methods including machine learning to
find the minimum number of CEST images required to segment intra-tumour
distinct metabolic regions accurately, and
to find the number of different cell groups existing within a tumour using
unsupervised clustering.Methods
Animal model:
The model included 13 tumours grown in the hind limb of nude mice from two cell
lines: DU145 human prostate
adenocarcinoma (ATCC, Manassas, VA) and a radiation-resistant line generated by
treatment of the former cell line with radiation mimicking a clinical treatment
schedule1.
Dataset: Z-spectra for
each tumour were acquired using magnetization transfer-prepared FLASH with
steady-state saturation B1 of 0.5 and 2 µT. To perform clustering,
for each saturation B1, images were used at the offset frequencies
of two chemical groups: 3.5 ppm (amide) and 2.0 ppm (guanidinium)1.
Data analysis: The optimal number of data points required for
accurate segmentation of intra-tumour metabolic regions, as well as the optimal
number of clusters was computed through minimizing the Bayesian information
criterion (BIC) for clustering, and using the elbow method2 to select the number of clusters. The
clustering algorithm was performed on independent components of the CEST images
computed through independent component analysis (ICA). ICA is a linear
transformation from the original feature space to a new feature space such that
each of the new individual features are mutually independent3. The Gaussian mixture model (GMM) was used
as the clustering method. GMM is a generative statistical method that applies
probabilistic models to identify subpopulations within an overall population.
The assumption behind GMM is that the data points within the d-dimensional
population are coming from k different sources where each source is a
Gaussian distribution4.
Results
The optimization
results indicate that the intra-tumour regions can be segmented using the
independent components of two CEST images, where the optimal number of clusters
is four (Fig. 1). As expected, the CEST data acquired at B1 = 0.5 µT
is noisier, leading to over segmentation of the tumour. As such, clustering was
performed on data acquired at B1 = 2 µT. Figure 2 depicts the
Z-spectra averaged over all tumours for each cluster, and shows that the
standard error of the mean (SEM) is small for all spectra, indicating small
variance within each cluster. Qualitative comparison between the segmented
image and the histology demonstrated that the intra-tumour regions can be
segmented using only CEST images acquired at 3.5 ppm and 2.0 ppm (B1
= 2 µT). Figure 3 depicts an example of a tumour segmented with the proposed
clustering approach.
Discussion
The results indicate
that, overall, the dataset includes four distinct metabolic regions. One is
muscle (shown in cyan) while the rest are tumour sub-regions with different
metabolic activities. Our hypothesis is that the least metabolically active
cluster (red) corresponds to necrotic tumour, yellow is associated with
apoptosis or partial necrosis while blue region corresponds to metabolically
active parts of the tumour. The clustering performed on the CEST data (Fig. 3f)
has good agreement with the histology (Fig. 3g). Conclusion
The results of this
study suggest that CEST imaging and computational methods can potentially
identify distinct metabolic regions within a tumour and characterize the intra-tumour
heterogeneity. The proposed method can potentially be incorporated into cancer
diagnosis and treatment planning workflows to develop more effective radiation
dose maps. Acknowledgements
The authors would like to thank the CIHR (grant number PJT148660), and Terry Fox Research Institute (grant number 1083) for funding this project. References
1. Lam WW, Oakden W, Murray L, et al.
Differentiation of normal and radioresistant prostate cancer xenografts using
magnetization transfer-prepared MRI. Sci Rep. 2018.
doi:10.1038/s41598-018-28731-0
2. Kodinariya TM, Makwana PR. Review on
determining number of Cluster in K-Means Clustering. IJARCSMS. 2013.
3. Hyvärinen A, Oja E. Independent
component analysis: Algorithms and applications. Neural Networks. 2000.
doi:10.1016/S0893-6080(00)00026-5
4. Reynolds D. Gaussian Mixture Models.
In: Encyclopedia of Biometrics. ; 2015.
doi:10.1007/978-1-4899-7488-4_196