Abstract
Introduction: Glioblastoma is characterized by heterogeneous tumor characteristics and infiltrative
tumor boundaries, making accurate delineation difficult with extensive manual annotations.
Chemical exchange saturation transfer (CEST) is a non-invasive MRI technique used for in vivo
assessment of metabolic and macromolecular information through a Z-spectrum. CEST may
provide insight into metabolic changes present in early-stage disease that are not visible in routine
clinical imaging, thereby improving tumor delineation. In this work, we use an unsupervised anomaly
detection (UAD) strategy to learn the distribution of features present in Z-spectra of healthy tissue
and capture their deviations in pathology , foregoing the need for extensive labels. The approach
leverages the metabolic information provided by CEST to improve the detection and delineation of
glioblastoma and inform further treatment planning.
Methods
A 1D convolutional autoencoder (CAE) was implemented to reconstruct Z-spectra from
individual tissue voxel s. The network was trained on Z -spectra acquired at 9.4T from healthy
Sprague-Dawley rats and tested on data acquired from F98 glioma-bearing rats post Gd -
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administration. For baseline comparisons, Isolation Forest and Local Outlier Facto r, which have
shown success in anomaly detection, were implemented . For the CAE, our anomaly score was
determined to be the mean squared reconstruction error . To facilitate clinical translation and
evaluate the robustness of our model for under sampled Z-spectra, acceleration factors of 2x and
7x were performed with two sampling schemes: uniformly skipping frequency offsets and selecting
offsets based on feature importance identified by Shapley value analysis and Integrated Gradients
(IG). Binarization was performed by determining an optimal anomaly threshold, followed by
comparison to ground truth tumor masks. Metrics related to model performance were assessed for
baseline anomaly detectors on the fully sampled dataset and for the CAE on fully and under sampled
datasets.
Results
The best baseline anomaly detector was Isolation Forest, with an ROC -AUC of 0.967 and
an F1-score of 0.584. Our method, the CAE, accurately reconstructed Z-spectral features, achieving
Dice scores of up to 0.72 and outperforming the baseline model with an ROC-AUC of 0.968 and F1-
score of 0.642 . This model performance remained robust across sampling schemes and
acceleration factors , with ROC-AUCs of ~0.96 and similar Dice scores (up to 0.7) . Feature
importance analysis indicated that offsets in the range of ±3.0 to 5.0ppm contributed most to the
anomaly score.
Discussion
This study successfully demonstrated a UAD pipeline utilizing the Z -spectrum from
CEST MRI for metabolically informed tumor delineation. The framework captures biochemical
deviations that may precede or extend beyond morphologic abnormalities, enabling sensitive
detection of tumor regions and intra -tumoral heterogeneity that previous methods may fail to
capture. The offsets from the feature analysis indicated a strong contribution from the magnetization
transfer (MT) pool to the spectral deviations captured by the model , with additional contributions
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from relayed nuclear Overhauser effect (rNOE) and amide proton transfer (APT) . Model robustness
with under sampling further highlights the pipeline ’s potential in accelerated acquisition s, thus
improving clinical practicality. While there is a need for validation on larger cohorts and clinical
datasets, the current results demonstrate that this label-free, Z-spectral anomaly mapping can
serve as an interpretable and scalable tool for monitoring tumor heterogeneity and progression, with
potential applicability to other diffuse or metabolically subtle pathologies.
Introduction
Chemical Exchange Saturation Transfer (CEST) is an MR imaging method that can non -
invasively detect metabolites and macromolecules in vivo with high sensitivity. CEST exploits the
exchange between solute protons and bulk water protons to provide indirect measures for a range
of endogenous and exogenous metabolites (1, 2). Analysis of the Z-spectrum acquired in CEST is
often conducted by performing multi -pool Loren tzian fitting (MPLF), providing semi-quantitative
estimates of metabolite concentrations (3, 4) . Metrics derived from Z-spectral analysis, such as
amide proton transfer (APT) and relayed nuclear Overhauser effect (rNOE), have been employed in
both clinical and preclinical studies, revealing metabolic underpinnings and dysfunction in disease
and pathological tissue types, like lesions and tumors (5, 6) . CEST can also be used to assess
microenvironment properties such as pH, temperature, and oxidative stress (7). Despite the utility
of multi -pool fitting, the technique is ill -posed with solutions varying based on parameter
initializations and constraints (8). When performing comparisons between healthy and pathological
conditions, sufficiently large sample sizes are required, with analyses performed in a group -wise
manner (e.g., healthy subjects v. Alzheimer’s disease patients) and in pre -defined ROIs, which can
obscure tissue heterogeneity . In addition, d efining distinct sub-groups proves difficult in
heterogeneous diseases, where individuals can present with different phenotypic manifestations at
similar stages of pathology . A p rior clinical diagnosis is also necessary for defining populations ,
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making it challenging to group individuals in early stages of the disease. Consequently, detecting
early-stage disease pathology and monitoring its progression on an individual basis is vital.
Existing unsupervised anomaly detection (UAD) strategies have demonstrated increased
potential for detecting and monitoring disease progression on an individual basis (9, 10). Machine
learning pipelines, including deep learning approaches, have been developed to identify anomalies
in the context of images, tabular data, and time series (11). The strength of UAD stems from its ability
to identify anomalies without access to extensive labeled data (12). Consequently, only healthy
datasets, which are much easier to obtain and more readily accessible, are required to train the
model. When tested on unseen data, samples that significantly deviate from the training distribution
(i.e., healthy/normal data) ar e classified as anomalies. UAD has shown success in medical image
anomaly detection, where models are trained to reconstruct healthy image data (13). Upon testing
with images that contain pathological tissue, the model generates a ‘healthy’ version of this image
and metrics like mean squared or mean absolute error used to identify anomalies.
Our goal is to combine UAD with CEST to identify anomalies in a rat glioblastoma model ,
which are highly heterogeneous (14). Our methodology operates on the Z -spectrum rather than on
an image, thereby deviating from previous medical image anomaly detection approaches by
attempting to identify anomalous metabolic signatures instead of largely morphological changes
observed through conventional imaging techniques. In addition, since each voxel in an image has a
corresponding Z -spectrum, we can greatly amplify our training size with a minimal number of
subjects. For example, a 3D acquisition performed on one subject can provide over 100k training
samples. In addition, the sensitivity of CEST to early -stage metabolic changes may enable us to
potentially detect anomalies prior to the appearance of morphological abnormalities (15, 16) ,
conferring advantages over available methodologies that rely primarily on structural and anatomic
images (17). We extend previous work from our group, which implemented UAD (18) on an MS patient,
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to preclinical tumor models and show the robustness of our methodology to under sampled
acquisitions of Z-spectrum frequencies, thus improving clinical feasibility.
Methods
1.1. Tumor inoculation
The experimental protocols used in this study were approved by the Institutional Animal Care
and Use Committee of the University of Pennsylvania. In this study, data were acquired on on the
brains of four healthy and three tumor-bearing Sprague-Dawley rats (~6 weeks old) (19). For tumor
inoculation, rat heads were fixed on a stereotaxic apparatus with a continuous supply of isoflurane
to induce a surgical plane of anesthesia. Bupivacaine (under the scalp; 2mg/kg) and meloxicam
(subcutaneous; 2mg/kg) were provided as analgesics. The head was shaved using a trimmer, and an
incision was made to expose the skull. After sterilizing the scalp, a burr hole was drilled 3mm lateral
(right) and 3mm posterior to the bregma using stereotactic navigation, and a 5uL suspension
containing ~50k F98 (gliosarcoma) cells in phosphate -buffered saline (PBS) was injected into the
cerebral cortex (2mm deep) at a rate of 0.5 μL/min using a 10 μL Hamilton syringe mounted with 32-
gauge needle and an infusion pump (Stoelting Co, USA). Sutures were used t o close the scalp's
incision, and the rats were monitored every day to assess wound healing and surgical complications.
1.2. Data Acquisition
To monitor the size of the tumor, rats (n = 3) were scanned every week using T 2-weighted
rapid-acquisition rapid-echo (rapid-acquisition rapid-echo; 16 slices, TE1/TE2/TE3 = 15/45/75 ms,
TR = 3s, and two averages) and T1-weighted FLASH (fast low-angle shot; 16 slices, TE=4 ms, TR=200
ms, and four averages) images. Once the tumor was clearly visible with minimal indications of
necrosis, contrast-enhanced and CEST acquisitions were performed as follows:
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First, a localizer was acquired to position the brain, followed by T1-weighted FLASH and T2-
weighted RARE images. For contrast-weighted images, a Gadolinium-based contrast agent (Gd-
DOTA, Gadoerate meglumin, Dotarem, France; 0.1 mmol/kg) was administered intravenously
through a catheter tail vein and T1-weighted images were acquired every 2 minutes. Once the signal
enhancement reached its peak (~10 minutes), the CEST acquisition was performed on a slice of
interest. To correct for B0 inhomogeneities, a WASSR (WAter Saturation Shift Referencing (20); TE =
4 ms, TR 410 ms, 22 frequency offsets from 0 to ±1 ppm in steps of 0.1ppm, B1rms = 0.1μT) was
acquired. A full Z-spectrum was acquired for the CEST-weighted images with 52 offsets ranging
from +5 to -5 ppm in steps of 0.2 ppm. The acquisition parameters were TE= 4ms, TR = 3s, B1 = 1.0
μT, saturation duration (tsat) = 3s, and two averages. An unsaturated (i.e., reference) image (with
the same parameters as the saturated images, but with B1 = 0.0uT and an offset of -300ppm) was
additionally acquired. For all images, the FOV was 30 mm x 30 mm with an image matrix size of 192
× 192, resulting in an in-plane resolution of 0.156 mm x 0.156 mm for all images. For healthy rats (n
= 4), Gd-administration was not performed and T1 and T2-weighted images were acquired only once
for slice selection, followed by the CEST acquisition.
1.3. Image post-processing, metabolite quantification, and data preparation
For healthy rats, the slice of interest from the T 2-weighted image was skull-stripped using a
fuzzy c-means clustering algorithm, followed by a series of erosions and dilations on the brain mask
to obtain the final brain segmentation. For tumor -bearing rats, the brain was manually segmented
using ITK-SNAP (21) to avoid issues with the tumor region. To generate the ground-truth tumor mask,
three lab members were asked to perform the tumor segmentation on the Gd-enhanced T1-weighted
and T 2-weighted images , and a majority vote was used to determine the final tumor mask. The
selected lab members (A.S., A.M., and N.D.S.) have expertise in visualizing mouse brain anatomy,
and segmentations between the members were largely similar in the tumor core with discrepancies
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at tumor boundaries. Z-spectrum images were generated by normalizing the CEST-weighted images
by the reference image. D enoising was performed on normalized Z -spectra by exploiting
redundancies in saturation offsets using singular value decomposition (SVD ). Briefly, the image
matrix was reshaped to [voxels x offsets], followed by SVD, selection of the singular value threshold
based on the median criterion, and recovery of the low -rank, denoised data (22, 23) . Voxel-wise
multi-pool Lorentzian fitting was performed with five metabolite pools: direct saturation (DS),
magnetization transfer (MT), amide proton transfer (APT), amine, and relayed Nuclear Overhauser
effect (NOE) using initial parameter estimates and bounds from Windschuch et. al. (24). For
subsequent anomaly detection, two datasets were constructed for healthy and tumor rats : (1) (1 –
Z-spectrum) used as input to the CAE model and classical ML anomaly detection models, and (2)
the fitted parameters, including chemical shift, amplitude, and linewidth, derived from multi -pool
fitting as input to classical ML anomaly detection models. For the first dataset, the image matrix was
reshaped from [height x width x offsets] to [voxels x offsets], while the second dataset was of shape
[voxels x e stimated parameters]. Both datasets were designed to evaluate anomaly detection
performance when feature information is represented as offsets versus fitted parameters. The data
from healthy rats was concatenated to get the final training set. For tumor-bearing rats, one rat was
held out as a validation set to determine the anomaly threshold, while the other two rats were used
for testing.
1.4. Model selection and implementation
1.4.1. Local outlier factor (LOF) and Isolation Forest (IF)
Two datasets , as stated prior, were used for baseline machine learning methods: o ne dataset
treated the fitted parameters from the Lorentzian-analysis of the Z-spectrum as features, while the
other dataset used the Z -spectrum frequency offsets as features. Local outlier factor (LOF) and
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isolation forest (IF), implemented in Scikit-Learn (25), served as baseline anomaly detector s. LOF
(26) compares the density of a point to the density of its nearest neighbors , with outliers (i.e.,
anomalies) expected to exist in a sparse region of the feature space while inliers exist in denser areas.
IF (27) builds an ensemble of decision trees, and samples that require fewer splits to be separated
are more likely to be anomalies . A hyperparameter search was performed for each model by
selecting the hyperparameters that maximized the ROC-AUC and F1-score on the validation set. The
optimal anomaly threshold for each model, derived from the highest F1 -score, was used for
subsequent evaluations on the test set. Anomaly score maps were generated for comparison to our
methodology and ground truth labels.
1.4.2. Convolutional autoencoder (CAE)
Our proposed model in this study was a convolutional autoencoder. CAEs have shown
success in several anomaly detection tasks due to their local inductive bias and ability to capture
neighborhood correlations (28). Their use and success in time series anoma ly detection p rovided
the foundation for our implementation (29). For our task, we implement ed a 1D CAE, in which the
encoder captures local spectral information and generates an encoded representation (i.e., latent
representation) of this information. The decoder then uses the representation to reconstruct the
spectrum (Figure 1). Our model was trained on an NVIDIA RTX 4090 graphics processing unit for 150
epochs with an early stop ping criterion (~40 epochs ) using the Stochastic Gradient Descent
optimizer and a learning rate of 1e -4. The anomaly score is calculated as the mean squared error
between the reconstructed and input spectra . Higher reconstruction errors are anticipated in
pathological voxels since the CAE only learns the distribution and manifold of healthy data. Voxel-
wise anomaly scores are reshaped back into the image space, and the threshold for binarization of
the test set is set as the 90th percentile of anomaly scores in the validation set (i.e., one of the tumor-
bearing rats). The threshold was empirically determined by maximizing the Dice score on the
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validation set. Although the threshold selection is performed in a supervised manner, the training
paradigm is entirely unsupervised, and labels are not used for model optimization. The proposed
approach follows a standard unsupervised anomaly detection strategy with supe rvised threshold
calibration (30, 31).
Figure 1. Schematic representation of a 1D Convolutional Autoencoder. Each voxel, bearing a full Z-
spectrum, is fed into an encoder which generates a latent representation that captures the most
important features from the (1 - Z-spectrum). A symmetric decoder reconstructs the spectrum from
the latent space, and the mean square error (MSE) between the input and output yields the per-voxel
anomaly score. The block colors denote layer types.
1.4.3. Feature importance
Given that the Z -spectrum contains metabolic information, it is important to understand
which offsets (i.e., features) contribute the most in identifying anomalies. To determine feature
importance, Shapley values were computed for IF. In game theory, the Shapley value is a method of
fairly distributing the total payout (i.e., gains/costs) to players who collaborated to achieve a specific
goal. Shapley values have been more recently adopted in ML, in which the importance of a feature in
achieving the model’s goal, such as prediction, is analogous to a player’s contribution in winning a
cooperative game (32). To implement Shapley values, a baseline, which describes the average
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outcome of a specific model, is needed. For the IF, the baseline was defined as the distribution of
anomaly scores of healthy voxels. Shapley values would thus indicate whether an offset increases
or decreases deviation from the distribution of healthy tissue. If a feature contributed to a higher
anomaly score, a more negative Shapley value was expected since negative values from the IF’s
decision function indicate more anomalous instances.
In addition to Shapley values, we implemented integrated gradients (IG) (33) for the CAE as
this method is well -suited for differentiable, deep learning models and can capture the complex,
non-linear interactions that Shapley values may miss . For IG calculation, we wrapped the CAE in a
function that calculated the MSE between the input and output as the models’ final prediction. IG
determines feature importance in our CAE by integrating the gradient of the MSE, with respect to
each offset, from the baseline to the input Z-spectrum. A larger integrated gradient for an offset
indicates a greater sensitivity of the MSE (i.e., anomaly score) to changes in that particular offset.
Following the calculation of IG for our CAE, we normalized the path values for each offset by the
mean Z-spectrum value for that particular offset. This normalization is performed since the gradients
are sensitive to the absolute signal of an offset in the Z-spectrum as well as the gradient magnitude,
as given by the following equation:
𝐼𝐺! (𝑥) = (𝑥! − 𝑥!
") * 𝜕𝐹-𝑥" + 𝛼(𝑥 − 𝑥")0
𝜕𝑥!
#
$
𝑑𝛼
Consequently, offsets with higher amplitudes and regions where sharp transitions in intensity occur,
especially near direct saturation at 0ppm, may exhibit higher IG values that are not driven by changes
in tumor pathology. We selected the sub-sampled (i.e., feature importance guided) offsets using the
normalized IG values. Analysis of the average Z -spectrum from healthy and tumor voxels revealed
MT-driven amplitude shifts as the dominant feature, so priority was given to tho se offsets that
captured MT pool contributions.
1.4.5. Metrics for model evaluation
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The following metrics were used to evaluate baseline anomaly detectors and the CAE: accuracy, F1-
score, ROC-AUC, PR -AUC, precision, and recall. In addition, for the CAE, Dice scores were
calculated to evaluate the degree of overlap between the binarized model segmentations and the
ground truth segmentations for each rat in the test set (i.e., Dice 1 and Dice 2).
1.4.4. Sub-sampling of Z-spectrum
Since the acquisition of a Z -spectrum is time consuming and limits its clinical utility, we
trained the CAE on sub -sampled set s of frequency offsets and calculated the aforementioned
metrics. We utilized two sub-sampling schemes: the first scheme uniformly selected offsets based
on the acceleration factor (i.e., 2x acceleration resulting in selection of every other offset), while the
second scheme selected the top ‘k’ features based on their importance , as determined by IG. The
two acceleration factors that were evaluated were 2x and 7x.
Results
2.1. LOF and IF
Metrics from LOF and IF are presented in Table 1.
Model Accuracy F1 ROC AUC PR AUC Precision Recall
CAE 0.929 0.642 0.968 0.522 0.493 0.921
IF: Z-spectrum 0.902 0.584 0.967 0.512 0.414 0.994
LOF: Z-spectrum 0.418 0.192 0.749 0.125 0.106 0.997
IF: Fitted parameters 0.692 0.256 0.776 0.142 0.154 0.761
LOF: Fitted parameters 0.775 0.289 0.797 0.182 0.185 0.656
Table 1. Metrics from the CAE and baseline anomaly detection models —IF and LOF —when using
the Z-spectrum offsets or fitted parameters from multi -pool Lorentzian fitting as features. The CAE
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exhibits the best performance metrics except for Recall, in which the IF trained on the Z -spectrum
exhibits moderately higher performance.
Overall, LOF and IF performed poorly in detecting anomalous voxels when fitted parameters were
used as features, with ROC-AUCs of 0.797 and 0.776 and PR-AUCs of 0.182 and 0.142, respectively.
The performance is evident in the anomaly score maps, where Rat #1 shows only mild anomaly
scores (i.e., higher values) in the tumor region for both LOF and IF , while Rat #2 shows clearer
anomaly features with IF compared to LOF (Figure 2a). In comparison, when using the Z-spectrum
offsets as features, IF shows stark differences between the tumor and healthy -appearing tissue for
both rats (ROC-AUC: 0.967 and PR-AUC: 0.512), while LOF fails to highlight those differences in Rat
#1 and achieves a moderate detection in Rat #2 ( Figure 2b), with ROC -AUC and PR -AUC of 0. 749
and 0.1 25). Based on these observed differences and quantitative metrics, IF with Z -spectrum
offsets as features was selected as the baseline model for subsequent comparisons.
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Figure 2. The figure above compares anomaly detection results for Isolation Forest (IF) and Local
Outlier Factor (LOF) using fitted parameters or frequency offsets as features. (a) showcases the ROC
and PR curve alongside anomaly score maps for the models, suggesti ng that the fitted parameters
perform poorly as features for anomaly detection. (b) highlights the significantly improved
performance of IF when using Z -spectral offsets as features, while LOF still struggles at capturing
anomalous voxels. Post-contrast T1-weighted images are provided for anatomical reference.
2.2. CAE
Reconstruction residuals for tumor voxels remained systematically higher than for healthy
voxels (Figure 3a). T his pattern supports our central assumption that the latent space of a CAE
trained exclusively on healthy Z-spectra defines a manifold from which tumor voxels deviate.
Interestingly, tumor voxels exhibit a high reconstruction error across all offsets , with lower error
observed at ~0 ppm. This observation is consistent with results from multi -pool Lorentzian fitting
(Supplementary Figure 1(a-b)). Differences in DS, with a chemical shift centered at 0 ppm, are less
apparent between the tumor and normal -appearing tissue given the low F1 -score despite a high
ROC-AUC, while MT, a broad component that contributes to all offsets, shows a marked difference
between these tissue types with both high ROC-AUC and F1-scores. The anomaly score maps show
variation and higher error in the tumor core compared to the boundary, demonstrating the model’s
ability to capture disease heterogeneity and progression (Figure 3b). After thresholding the anomaly
scores, binary maps suitable for segmentation of the tumor region were generated and compared to
the T1 weighted images and ground truth masks. The binarized masks overlapped significantly with
the ground truth , yielding D ice score s of 0.5 and 0.72 . However, detection of anomalous voxels
around the edges of the brain – likely from dura matter – reduces the overlap, and so the reported
Dice scores may be underestimated. Nonetheless, the model demonstrated robust performance in
delineating tumor heterogeneity and segmenting the anomalous tumor region in each rat.
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Figure 3. (a) Mean Z -spectrum and mean convolutional autoencoder (CAE) reconstruction are
displayed for healthy and tumor voxels. Reconstruction errors between the original spectrum and
reconstruction are consistently higher for tumor voxels than for healthy rats, contributing to high
anomaly scores as displayed in the anomaly maps. (b) Metrics from the ROC and PR curve
demonstrate the robust performance of the CAE in anomaly detection. Dice scores indicate high
overlap between predicted binary tumor masks and ground truth tumor masks.
2.3. Feature importance and sub-sampling of Z-spectrum
The most important offsets determined by Shapley values from the IF were -3.4 and -1.2 ppm,
corresponding to the chemical shifts of rNOE. Overall, the feature importance was heterogeneous,
capturing changes around 0 ppm and 2 ppm, as well as offsets in the range of -3 to -5 ppm (Figure
4a). Normalized integrated gradient values from the CAE also highlighted offsets in the range of ±3
to ±5 ppm, in addition to highlighting offsets around 2ppm (Figure 4b). The offsets in these ranges
typically guide the Lorentzian fit of the MT pool, which we observed to be distinctively lower in tumor
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tissue, as well as rNOE and amine, and so the final selection of the top ‘K’ optimal offsets was driven
by a combination of model predictions and domain knowledge.
Figure 4. (a) Plot showing the top 15 most important features calculated by Kernel SHAP for the IF.
For IF, larger negative SHAP values indicate a feature that contributes to a higher anomaly score. The
two most important offsets were -3.4 and -1.2 ppm, corresponding to rNOE pool contributuions (b)
Plot showing the normalized integrated gradient values derived from the CAE. Offsets in the range of
-3 to -5 ppm show high IG scores, with contributions likely stemming from rNOE and MT, followed by
offsets around 2 ppm which correspond to the amine pool. For selection of sub -sampled offsets,
priority was placed on MT -related offsets as determined by IG feature attributions and observed
changes in Z-spectrum amplitudes between tumor and healthy tissue.
Metrics from uniform and feature importance guided sub-sampling schemes are presented
in Table 2. Across all sub-sampling schemes, the ROC-AUCs and Dice scores are similar to the fully
sampled data, indicating the CAE’s ability to capture the most informative spectral information in
the latent space even when features are sparse . Interestingly, the uniform sub-sampling scheme
with 2x acceleration showed metrics close st to the fully sampled data. However, the feature
importance sub sampling performed better at the higher acceleration factor. This is reflected in the
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anomaly score maps (Figure 5), with the uniform 2x under sampling having an almost indiscernible
anomaly map compared to the fully sampled one.
Figure 5: The figure above illustrates the anomaly score maps, and their respective ROCs generated
by training the CAE with uniform (a) and feature importance guided (b) sampling schemes,
respectively. The figure compares the robustness of the model when sparsely sampled at 52, 26 and
8 offsets, respectively, reaching acceleration factors of 2x and ~7x.
Furthermore, the feature importance guided scheme seems to overestimate the tumor boundary,
likely contributing to higher false positive voxels. This trend is reversed with the 7x acceleration factor,
with the uniform scheme overestimating the tumor region . Overall, the results indicate that the
quality of anomaly detection is preserved when features are sparse, with optimal sub sampling
schemes facilitating the use of anomaly detection in clinical spaces and settings with scan -time
constraints.
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Sampling Scheme Accuracy F1 ROC-AUC PR-AUC Precision Recall Dice 1 Dice2
52 Offsets: Original 0.929 0.642 0.968 0.522 0.493 0.921 0.5 0.721
26 Offsets: Uniform 0.926 0.6349 0.9655 0.5046 0.4831 0.9259 0.504 0.708
26 Offsets: Feature
importance guided 0.9246 0.6206 0.9568 0.4425 0.4772 0.8873 0.474 0.698
8 Offsets: Uniform 0.9182 0.612 0.9542 0.4147 0.4567 0.9275 0.533 0.652
8 Offsets: Feature
importance guided 0.925 0.6202 0.9564 0.4446 0.479 0.8796 0.466 0.705
Table 2. Metrics from the CAE trained on two under -sampling schemes with two different
acceleration factors. The original number of offsets shows the best performance across all metrics
as expected, albeit with slightly lower precision. Across all under-sampling schemes and factors, the
26 offset uniform sub -sampling performs the best, with the 8 offset uniform sub -sampling having
slightly higher Recall and Dice 1 scores. Dice 1 and Dice 2 refer to the Dice scores of the test rats
presented in the top row and bottom row of Figure 3, respectively.
Discussion
In this paper, we introduce d an unsupervised , voxel -wise anomaly detection pipeline for
delineating glioblastoma pathology in tumor bearing rats using CEST MRI Z-spectra post-Gd-
enhancement. Unlike prior unsupervised anomaly detection frameworks that operate on structural
brain MRI, our model operates on Z -spectra, enabling sensitivity to metabolic changes that may
precede or extend beyond morphologic al abnormalities. Since the model was trained on healthy
voxels, it learned to reconstruct an input that aligned with the distribution of healthy Z-spectra. Any
spectral pattern that deviated from the reconstruction, as estimated by the mean square error
across offsets, was identified as an anomaly. Our findings demonstrate that this biochemically
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informed, label-free strategy can successfully delineate tumor regions, with Dice coefficients of ~0.5
and ROC-AUC values greater than 0.95 even when the Z-spectrum is heavily under sampled. When
compared to the baseline anomaly detection models, our methodology performed better in
identifying anomalies across the majority of metrics . However, IF, when trained using offsets as
features similar to our CAE, perform ed well in detecting anomalous voxels, with an AUC similar to
that of the CAE. However, our CAE offers advantages over IF as it can provide feature level anomaly
maps (i.e., an anomaly map per offset) . Since each offset encodes different metabolic information
(-3.5ppm corresponds to rNOE while +3.5ppm corresponds to APT), identifying offsets with the
highest reconstruction error on a voxel -wise basis may provide further information on which
metabolite is driving a heterogeneous disease phenotype in a spatially consistent manner.
Furthermore, the CAE is more robust to noise and nuisance signals, which the Isolation Forest may
flag as anomalous , and captures a richer representation of the Z -spectrum, generating a latent
space that can be used in downstream tasks to aid in anomaly detection or supervised classifiers.
A significant advantage of our method over existing anomaly detection schemes is
incorporation of biochemical information inherent in the Z-spectrum (34). Following the calculation
of Shapley values and integrated gradients, we were able to determine offsets that contributed most
to the anomaly detection task. The identified offsets (±3.0 to ±5.0ppm from the CAE; -3.5 and -1.2
ppm from IF) reflect contributions from the MT and rNOE pools, with additional APT signal.
Correspondingly, ROC -AUC and PR -AUC scores generated from multi -pool fitting derived
amplitudes show high values for MT and rNOE, along with high F1-scores and precision. In contrast,
APT shows low values across all metrics (Supplementary Figure 1 and Supplementary Table 1 ).
Several studies have demonstrated the utility of MT in distinguishing tumor regions and boundaries,
with MT imaging offering advantages over traditional contrast -enhanced T 1-weighted anatomical
images (35, 36, 37). Interestingly, when comparing the reconstruction of healthy and tumor voxels,
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the residuals for healthy voxels remain largely flat across offsets, while the error for tumor voxels has
a broad, Lorentzian-like line shape. This broad shape further suggests that the MT pool is driving the
reconstruction error (i.e., anomaly score) observed in the tumor region . Recent studies have also
shown changes in rNOE (38, 39), which is sensitive to lipid and protein content , in glioblastoma.
However, the feature attributions of offsets related to APT, which has shown clinical utility in tumor
delination (40, 41) , along with analysis of multi-pool fitting suggest that protein changes may not be
the most discriminative metabolic feature. Consequently, the current results indicate that lipid
changes may play a larger role in glioblastoma progression and tumor delineation (42, 43, 44) . DS
showed high ROC-AUC and PR-AUC, but low F1-score and precision. Changes in DS are expected in
tumor regions due to changes in T1 and T2 of bulk water in tumor cells (45, 46). However, the low F1-
score and precision indicates that DS may not be a sufficient discriminatory feature. Interestingly,
amine showed metrics comparable to rNOE and MT, with feature attributions highlighting offsets
around 2 ppm. Future investigations ex ploring changes in amine contrast in glioblastoma are
warranted, as altered amine contrast can arise from pH, tumor infilitration, and different saturation
paridigms (i.e., low saturation power v. high saturation power).
Determining the feature importance allowed us to understand the primary offsets
contributing to the anomaly score and guide feature selection when sub sampling the Z -spectrum,
thus allowing scan -time reduction of prospective experiments that require careful delineation of
tumor pathology. Since the acquisition of a Z-spectrum can be on the order of ~10 – 15 min, reducing
the scan time can also facilitate clinical translation , particularly when scan times are limited and
dependent on patient comfort. Results from sub -sampling indicate that the quality of anomaly
detection is maintained when offsets (i.e., features) are sparse, with metrics extremely close to
those of the fully sampled Z -spectrum with the uniform 2x under sampling performing the best.
Compared to feature importance guided selection of offsets, the uniform sampling maintains the
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overall shape of the Z -spectrum. However, when increasing the under sampling to 7x, the feature
guided scheme outperforms the uniform scheme, owing to MT’s large contribution to the anomaly
score in tumor voxels. Furthermore, uniformly under sampling at such a high acceleration rate may
“miss” important offsets around 0 ppm and negatively impact the anomaly score and tumor
delineation.
Another major advantage of our approach is that it supplements MPLF by highlighting voxel
level spectral deviations independent of explicit pool parametrizations. Although our method does
not provide metabolite concentrations, this did not affect subsequent anomaly detection. Our
baseline models using fitted parameters as input performed worse compared to the CAE, suggesting
that parameter combinations obtained from fitting do not encode sufficiently discriminative
information for anomaly detection. This may also indicate an issue with the fitting procedure, and
better fitting methods may need to be explored and implemented. Finally, although not unique to our
technique, unsupervised anomaly detection requires only healthy data for training which reduces
the need for large, labeled datasets. This proves beneficial in heterogenous pathologies or case
studies, such as leukodystrophy, in which ground truth labels are hard to obtain and anomalies are
rare. Furthermore, anomaly detection can be implemented on an individual basis , allowing for the
monitoring of disease progression and precluding the need for statistical analysis that requires large
sample sizes and patient stratification.
Despite the proposed advantages of our method, a few notable limitations warrant
consideration. Our initial evaluation was performed in a small cohort of tumor -bearing rats, and
future work will require validation in a larger cohort with more disease variation. We also did not have
access to immunohistochemical results, which makes it challenging to determine diffuse
pathological changes and the exact delineation of tumor core and boundary regions. For future
investigations, w e plan to explore additional ne twork architectures that have shown success in
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anomaly detection and compare them to our proposed methodology. Our current CAE presents the
primary advantages of low computational complexity, stable training, and local inductive bias.
Finally, we plan to apply our methodology to pathologies that present more subtle anomalies, such
as multiple sclerosis , and demonstrate its performance on human patients , thus bolstering its
potential clinical utility. We will expand on our network design by incorporating spatial information,
which will enhance the detection of these local anomalies, and include additional Z -spectral
information from multiple saturation powers and durations to broaden the sensitivity of our
technique to a wider range of metabolites.
Overall, this study establishes unsupervised anomaly detection in CEST MRI as a promising
avenue for delineating tumor pathology. By leveraging the biochemical information in Z-spectra, our
methodology offers an interpretable, metabolically informed approach for identifying tumor tissue
and detecting intra-tumoral heterogeneity, thereby guiding downstream radiologic or therapeutic
assessments.
Acknowledgements
Research reported in this publication was supported by the National Institute of Biomedical Imaging
and Bionegineering of the National Institutes of Health under award number P41 EB029460 and by
the National Institute on Aging of the National Institutes of Health under award numbers R01
AG063869, RF1 AG087306, and R01 AG091760.
Data and code availability statement
The data and code used for the generation of results in this manuscript can be found on
https://github.com/Abeermathur7/GlioblastomaRatMultiOffset-UAD.git.
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