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Tumor shape plays a critical role in influencing both growth and metastasis. We introduce a novel topological radiomic feature derived from persistent homology to characterize tumor shape, focusing on its association with time-to-event…

Methodology · Statistics 2025-12-08 Yuhyeong Jang , Tu Dan , Eric Vu , Chul Moon

With the advanced imaging technology, digital pathology imaging of tumor tissue slides is becoming a routine clinical procedure for cancer diagnosis. This process produces massive imaging data that capture histological details in high…

Applications · Statistics 2020-12-10 Esteban Fernández Morales , Cong Zhang , Guanghua Xiao , Chul Moon , Qiwei Li

The importance of radiomics features for predicting patient outcome is now well-established. Early study of prognostic features can lead to a more efficient treatment personalisation. For this reason new radiomics features obtained through…

Image and Video Processing · Electrical Eng. & Systems 2020-12-24 Paul Desbordes , Diksha , Benoit Macq

Traditional survival models such as the Cox proportional hazards model are typically based on scalar or categorical clinical features. With the advent of increasingly large image datasets, it has become feasible to incorporate quantitative…

Computer Vision and Pattern Recognition · Computer Science 2020-01-09 Christoph Haarburger , Philippe Weitz , Oliver Rippel , Dorit Merhof

Lung cancer remains one of the leading causes of cancer-related mortality, yet most survival models rely only on baseline factors and overlook posttreatment variables that reflect disease progression. To address this gap, we applied Cox…

Applications · Statistics 2025-10-03 Varun Vishwanathan Nair , Victor Miranda Soberanis

Patients with metastatic breast cancer (mBC) undergo repeated computed tomography (CT) imaging during treatment to monitor disease progression. Accurate longitudinal tracking of individual lesions across scans from multiple radiologists is…

Prediction of survivability in a patient for tumor progression is useful to estimate the effectiveness of a treatment protocol. In our work, we present a model to take into account the heterogeneous nature of a tumor to predict survival.…

Computed tomography imaging is a standard modality for detecting and assessing lung cancer. In order to evaluate the malignancy of lung nodules, clinical practice often involves expert qualitative ratings on several criteria describing a…

Computer Vision and Pattern Recognition · Computer Science 2016-09-22 Mario Buty , Ziyue Xu , Mingchen Gao , Ulas Bagci , Aaron Wu , Daniel J. Mollura

Progress in our knowledge of tumor mechanisms and complexity led to the understanding of the physical parameters of cancer cells and their microenvironment, including the mechanical, thermal, and electrical properties, solid stress, and…

We propose a curve-based Riemannian-geometric approach for general shape-based statistical analyses of tumors obtained from radiologic images. A key component of the framework is a suitable metric that (1) enables comparisons of tumor…

Applications · Statistics 2017-02-07 Karthik Bharath , Sebastian Kurtek , Arvind Rao , Veerabhadran Baladandayuthapani

Breast cancer remains a significant global health challenge, with prognosis and treatment decisions largely dependent on clinical characteristics. Accurate prediction of patient outcomes is crucial for personalized treatment strategies.…

Cancer patient diagnosis and prognosis is informed by assessment of morphological properties observed in patient tissue. Pathologists normally carry out this assessment, yet advances in computational image analysis provide opportunities for…

The complex and dynamic crosstalk between tumour and immune cells results in tumours that can exhibit distinct qualitative behaviours - elimination, equilibrium, and escape - and intricate spatial patterns, yet share similar cell…

Spatial relationships in multi-species data can indicate and affect system outcomes and behaviors, ranging from disease progression in cancer to coral reef resilience in ecology; therefore, quantifying these relationships is an important…

Recent advances in molecular and genetic research have identified a diverse range of brain tumor sub-types, shedding light on differences in their molecular mechanisms, heterogeneity, and origins. The present study performs whole-brain…

Neurons and Cognition · Quantitative Biology 2024-07-26 Debanjali Bhattacharya , Ninad Aithal , Manish Jayswal , Neelam Sinha

Tumor segmentation in whole-slide images of histology slides is an important step towards computer-assisted diagnosis. In this work, we propose a tumor segmentation framework based on the novel concept of persistent homology profiles…

Computer Vision and Pattern Recognition · Computer Science 2018-05-11 Talha Qaiser , Yee-Wah Tsang , Daiki Taniyama , Naoya Sakamoto , Kazuaki Nakane , David Epstein , Nasir Rajpoot

This paper aims to discuss a method of quantifying the 'shape' of data, via a methodology called topological data analysis. The main tool within topological data analysis is persistent homology; this is a means of measuring the shape of…

Algebraic Topology · Mathematics 2022-09-14 Tristan Gowdridge , Nikolaos Devilis , Keith Worden

Accurate and interpretable brain tumor classification from medical imaging remains a challenging problem due to the high dimensionality and complex structural patterns present in magnetic resonance imaging (MRI). In this study, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Faisal Ahmed

Persistent homology is a cornerstone of topological data analysis, offering a multiscale summary of topology with robustness to nuisance transformations, such as rotations and small deformations. Persistent homology has seen broad use…

Methodology · Statistics 2025-11-19 Zitian Wu , Arkaprava Roy , Leo L. Duan

Survival prediction models can potentially be used to guide treatment of glioblastoma patients. However, currently available MR imaging biomarkers holding prognostic information are often challenging to interpret, have difficulties…

Image and Video Processing · Electrical Eng. & Systems 2021-09-28 Sveinn Pálsson , Stefano Cerri , Hans Skovgaard Poulsen , Thomas Urup , Ian Law , Koen Van Leemput
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