OMT and tensor SVD–based deep learning model for segmentation and predicting genetic markers of glioma: A multicenter study

Z Zhengyang Zhu H Han Wang T Tiexiang Li (School of Mathematics and Shing-Tung Yau Center, Southeast University) T Tsung-Ming Huang (Department of Mathematics, National Taiwan Normal University) H Huiquan Yang (Department of Radiology, Nanjing Drum Tower Hospital, Affiliated Hospital of Medical School, Nanjing University) Z Zhennan Tao (Department of Neurosurgery, Nanjing Drum Tower Hospital, Affiliated Hospital of Medical School, Nanjing University) Z Zhong-Heng Tan (School of Mathematics and Shing-Tung Yau Center, Southeast University) J Jianan Zhou (Department of Radiology, Nanjing Drum Tower Hospital, Affiliated Hospital of Medical School, Nanjing University) S Sixuan Chen (Department of Radiology, Nanjing Drum Tower Hospital, Affiliated Hospital of Medical School, Nanjing University) M Meiping Ye (Department of Radiology, Nanjing Drum Tower Hospital, Affiliated Hospital of Medical School, Nanjing University) Z Zhiqiang Zhang F Feng Li D Dongming Liu (School of Materials Science and Engineering, State Key Laboratory of Fine Chemicals, Frontiers Science Center for Smart Materials Oriented Chemical Engineering, Technology Innovation Center of High Performance Resin Materials (Liaoning Province)) M Maoxue Wang (Department of Radiology, Nanjing Drum Tower Hospital, Affiliated Hospital of Medical School, Nanjing University) J Jiaming Lu (Department of Physics) W Wen Zhang X Xin Li Q Qian Chen Z Zhuoru Jiang (Department of Radiology, Nanjing Drum Tower Hospital, Affiliated Hospital of Medical School, Nanjing University) F Futao Chen (Department of Radiology, Nanjing Drum Tower Hospital, Affiliated Hospital of Medical School, Nanjing University) X Xin Zhang W Wen-Wei Lin (Nanjing Center for Applied Mathematics) S Shing-Tung Yau (Yau Mathematical Sciences Center, Jingzhai, Tsinghua University) B Bing Zhang

Abstract

Glioma is the most common primary malignant brain tumor and preoperative genetic profiling is essential for the management of glioma patients. Our study focused on tumor regions segmentation and predicting the World Health Organization (WHO) grade, isocitrate dehydrogenase (IDH) mutation, and 1p/19q codeletion status using deep learning models on preoperative MRI. To achieve accurate tumor segmentation, we developed an optimal mass transport (OMT) approach to transform irregular MRI brain images into tensors. In addition, we proposed an algebraic preclassification (APC) model utilizing multimode OMT tensor singular value decomposition (SVD) to estimate preclassification probabilities. The fully automated deep learning model named OMT-APC was used for multitask classification. Our study incorporated preoperative brain MRI data from 3,565 glioma patients across 16 datasets spanning Asia, Europe, and America. Among these, 2,551 patients from 5 datasets were used for training and internal validation. In comparison, 1,014 patients from 11 datasets, including 242 patients from The Cancer Genome Atlas (TCGA), were used as independent external test. The OMT segmentation model achieved mean lesion-wise Dice scores of 0.880. The OMT-APC model was evaluated on the TCGA dataset, achieving accuracies of 0.855, 0.917, and 0.809, with AUC scores of 0.845, 0.908, and 0.769 for WHO grade, IDH mutation, and 1p/19q codeletion, respectively, which outperformed the four radiologists in all tasks. These results highlighted the effectiveness of our OMT and tensor SVD–based methods in brain tumor genetic profiling, suggesting promising applications for algebraic and geometric methods in medical image analysis.

Article Details

Volume / Issue Vol. 122, Issue 28
Published July 15, 2025
ISSN 0027-8424
Publisher National Academy of Sciences

Authors (24)

Z

Zhengyang Zhu

H

Han Wang

T

Tiexiang Li

School of Mathematics and Shing-Tung Yau Center, Southeast University

T

Tsung-Ming Huang

Department of Mathematics, National Taiwan Normal University

H

Huiquan Yang

Department of Radiology, Nanjing Drum Tower Hospital, Affiliated Hospital of Medical School, Nanjing University

Z

Zhennan Tao

Department of Neurosurgery, Nanjing Drum Tower Hospital, Affiliated Hospital of Medical School, Nanjing University

Z

Zhong-Heng Tan

School of Mathematics and Shing-Tung Yau Center, Southeast University

J

Jianan Zhou

Department of Radiology, Nanjing Drum Tower Hospital, Affiliated Hospital of Medical School, Nanjing University

S

Sixuan Chen

Department of Radiology, Nanjing Drum Tower Hospital, Affiliated Hospital of Medical School, Nanjing University

M

Meiping Ye

Department of Radiology, Nanjing Drum Tower Hospital, Affiliated Hospital of Medical School, Nanjing University

Z

Zhiqiang Zhang

F

Feng Li

D

Dongming Liu

School of Materials Science and Engineering, State Key Laboratory of Fine Chemicals, Frontiers Science Center for Smart Materials Oriented Chemical Engineering, Technology Innovation Center of High Performance Resin Materials (Liaoning Province)

M

Maoxue Wang

Department of Radiology, Nanjing Drum Tower Hospital, Affiliated Hospital of Medical School, Nanjing University

J

Jiaming Lu

Department of Physics

W

Wen Zhang

X

Xin Li

Q

Qian Chen

Z

Zhuoru Jiang

Department of Radiology, Nanjing Drum Tower Hospital, Affiliated Hospital of Medical School, Nanjing University

F

Futao Chen

Department of Radiology, Nanjing Drum Tower Hospital, Affiliated Hospital of Medical School, Nanjing University

X

Xin Zhang

W

Wen-Wei Lin

Nanjing Center for Applied Mathematics

S

Shing-Tung Yau

Yau Mathematical Sciences Center, Jingzhai, Tsinghua University

B

Bing Zhang