Alexandra Grace Roberts1, Jinwei Zhang2, Heejong Kim3, Dominick Romano4, Sema Akkus5, Mert Sabuncu1,3, Jianqi Li6, Brian Harris Kopell5, Pascal Spincemaille3, and Yi Wang3,4
1Electrical and Computer Engineering, Cornell University, New York, NY, United States, 2Electrical and Computer Engineering, Johns Hopkins University, Baltimore, MD, United States, 3Radiology, Weill Cornell Medicine, New York, NY, United States, 4Biomedical Engineering, Cornell University, New York, NY, United States, 5Neurosurgery, Mount Sinai Hospital, New York, NY, United States, 6Changhai Hospital, Shanghai, China
Synopsis
Keywords: Diagnosis/Prediction, Radiomics
Motivation: To improve outcome prediction for deep brain stimulation (DBS) surgery using radiomic features on quantitative susceptibility maps (QSMs).
Goal(s): To address the inconsistent levodopa challenge test (LCT) prediction for DBS outcomes by describing the target variable, motor symptom improvement, as a weighted sum of QSM radiomic features.
Approach: A least absolute shrinkage and selection operator (LASSO) model is implemented, trained, and tested on patient data and known DBS outcomes.
Results: Model predictions outperform the conventional LCT prediction and estimate DBS improvement from preoperative motor symptom scores and radiomic features on QSM.
Impact: The levodopa
challenge test estimates patient response to deep brain stimulation surgery, presenting
undesirable side effects and inconsistent outcomes. Radiomic prediction of deep
brain surgery outcomes using quantitative susceptibility maps aims to provide a
numerical measure of symptom improvement.
Introduction
Deep brain
stimulation (DBS) is a treatment for motor symptoms and dyskinesia in advanced
Parkinson’s disease.1 Patient selection is determined by
the preoperative levodopa challenge test (LCT),2 widely documented as an inconsistent
predictor for DBS improvements.3,4 As the surgery is complex and costly,
there is a need to accurately predict DBS outcomes as measured by the
improvement in a patient’s UPDRS-III4 scores before and after the procedure.
Prior work demonstrates correlation between specific radiomic features in quantitative
susceptibility maps (QSM)5,6 and classification of DBS outcomes.7 In this work, it is demonstrated that
radiomic features obtained from QSMs can accurately predict specific numerical
DBS outcomes.Theory
Continuous
outputs can be predicted from least absolute shrinkage and selection operator
(LASSO) model of the form: $$w^*=\mathrm{argmin}\frac{1}{2N} ||U-X_{\Phi}w||^2_2+\lambda||w||_1$$
Where $$$N$$$ is the sample size, $$$U$$$ is the target prediction, $$$N \times 1$$$ $$$X_{\Phi}$$$ is the feature matrix $$$(N \times M)$$$ where $$$M$$$ is the product of the
number of features $$$P$$$ and number of regions of
interest (ROIs) $$$R$$$ and the weights $$$w$$$ are $$$M \times 1$$$. Weights $$$\hat{w}$$$ can also be computed
given a set of augmented features $$$\hat{X_{\Phi}}$$$ and targets $$$\hat{U}$$$ from $$$\hat{N}$$$ samples. In synthetic data, dataset imbalance
is addressed by assigning “rare” cases a high relevance value $$$\phi$$$ and remaining
cases a low relevance value. The
dataset is balanced by oversampling rare values and undersampling remaining
values. Synthetic pairs $$$(\hat{X_{\Phi}},\hat{U})$$$ are generated by randomly selecting a $$$k$$$ nearest neighbor of a rare pair $$$(X_{\Phi},U)$$$ and adding a perturbation as outlined by
SMOTER and SMOGN.8,9Methods
Data was
collected across 2 sites. At Site 1, 35
candidates for DBS surgery were acquired with a multi-echo gradient echo (mGRE)
sequence10 with 10 echoes, acquired resolution $$$0.8 \times 0.8 \times 1 mm^3$$$ interpolated to $$$0.5 mm^3$$$ resolution, acquisition matrix of $$$320 \times 320 \times 180$$$, acceleration factor of 2, repetition time $$$TR=44.1 ms$$$ and scan time of 13 minutes. At Site 2,
37 candidates were acquired using a bipolar mGRE sequence6 with 6 echoes, voxel size $$$0.9 mm^3$$$, acquisition
matrix of $$$256 \times 256 \times 160$$$, acceleration factor of 2, $$$TR$$$ of $$$28 ms$$$. QSMs
were reconstructed using MEDI-L111 and features were extracted using the
pyradiomics12 pipeline from the substantia nigra,
subthalamic nucleus, red nucleus, and dentate nucleus (Figure 1) in the QRadAR
Toolbox.13 A LASSO14 model from the scikit-learn
library15 was implemented. Data was
augmented using SMOGN8 for dataset imbalance with
relevance $$$\phi=1$$$ assigned to the patient
with minimal and maximal improvements and a relevance of $$$\phi=0$$$ to median improvement following DBS surgery. The overall pipeline is shown in Figure
2. For regularization parameters, leave one out cross validation was
performed on Site 2 data ($$$\lambda_{LASSO}=0.05$$$ and $$$\lambda_{LASSO+SMOGN}=0.06$$$) (Figure 3). Models
were trained and tested on $$$N-1$$$ cases with the
leave-one-out method on the Site 1 dataset (LASSO) and the augmented, synthetic
$$$\hat{N}-1$$$ dataset (SMOGN+LASSO).
Both models were tested on each omitted patient in the Site1 dataset $$$N$$$ times. Effect of resolution were assessed by downsampling the Site 1 data by 2 (Figure 4). Site 1 images were retrained
using leave-one-out cross validation with 10 patients withheld (Figure
5). The predictive
power of LCT, LASSO, and SMOGN+LASSO was evaluated using linear regression
(correlation $$$r$$$, slope $$$m$$$, intercept $$$b$$$, significance $$$p$$$).Results
SMOGN+LASSO $$$(r=0.83, m=1.3, b=-0.16, p \approx 0)$$$ predicts outcomes in
DBS and outperforms the LASSO model $$$(r=0.50, m=1.1, b=0.5, p < 0.01)$$$ trained on Site 2 dataset (Figure 3). Both outperform LCT
$$$(r=0.12, m=-0.26, b=0.86, p=0.11)$$$ which shows no significant correlation (Figure
3). The Site 1 data demonstrate similar trends,
LASSO+SMOGN $$$(r=0.91, m=1.3, b=-0.24, p \approx 0)$$$ outperforming LASSO $$$(r=0.25, m=0.91, b=0.06, p=0.27)$$$, with LCT $$$(r=-0.36, m=0.94, b=1.38 p \approx 0)$$$ (Figure 4). Downsampling
degrades LASSO performance $$$(r=-0.36, m=0.94, b=1.38, p=0.11)$$$ (Figure 4). On a small number of withheld patients,
LCT gives $$$(r=-0.49, m=-0.4, b=0.94, p=0.15)$$$, LASSO gives $$$(r=0.58, m=1.2, b=-0.024, p = 0.078)$$$ and LASSO+SMOGN gives $$$(r=0.64, m=1.09, b=-0.01, p=0.046)$$$ (Figure 5). Predictive features (nonzero LASSO weights) included wavelet decomposition skewness, minima, small gray level dependence, and local binary
pattern gray level run length run variance over the substantia nigra,
subthalamic nucleus, red nucleus and dentate nucleus.Conclusion
Radiomic
features on QSM can improve the accuracy of DBS prediction as compared
to LCT. The accuracy is shown to improve
with spatial resolution, likely due to the presence of high-frequency wavelet
decompositions in predictive features. Future directions include
evaluating the effect of learned undersampling16 and super-resolution techniques17-22 on QSM radiomics predictions.Acknowledgements
No acknowledgement found.References
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