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Glioblastoma is among the most aggressive brain tumors in adults, characterized by patient-specific invasion patterns driven by the underlying brain microstructure. In this work, we present a proof-of-concept for a mathematical model of GBL…

Image and Video Processing · Electrical Eng. & Systems 2025-06-23 D. Cerrone , D. Riccobelli , S. Gazzoni , P. Vitullo , F. Ballarin , J. Falco , F. Acerbi , A. Manzoni , P. Zunino , P. Ciarletta

Precise prognostic modeling of glioblastoma (GBM) under varying treatment interventions is essential for optimizing clinical outcomes. While generative AI has shown promise in simulating GBM evolution, existing methods typically treat…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Chenhui Wang , Boyun Zheng , Liuxin Bao , Zhihao Peng , Peter Y. M. Woo , Hongming Shan , Yixuan Yuan

Mathematical oncology provides unique and invaluable insights into tumour growth on both the microscopic and macroscopic levels. This review presents state-of-the-art modelling techniques and focuses on their role in understanding…

Glioblastoma is a highly invasive brain tumor, whose cells infiltrate surrounding normal brain tissue beyond the lesion outlines visible in the current medical scans. These infiltrative cells are treated mainly by radiotherapy. Existing…

Predicting the infiltration of Glioblastoma (GBM) from medical MRI scans is crucial for understanding tumor growth dynamics and designing personalized radiotherapy treatment plans.Mathematical models of GBM growth can complement the data in…

Machine Learning · Computer Science 2024-08-19 Ray Zirui Zhang , Ivan Ezhov , Michal Balcerak , Andy Zhu , Benedikt Wiestler , Bjoern Menze , John S. Lowengrub

Accurate prognosis for Glioblastoma (GBM) using deep learning (DL) is hindered by extreme spatial and structural heterogeneity. Moreover, inconsistent MRI acquisition protocols across institutions hinder generalizability of models.…

Machine Learning · Computer Science 2026-02-13 Ankita Paul , Wenyi Wang

Modeling of brain tumor dynamics has the potential to advance therapeutic planning. Current modeling approaches resort to numerical solvers that simulate the tumor progression according to a given differential equation. Using…

Computational Engineering, Finance, and Science · Computer Science 2021-04-16 Ivan Ezhov , Tudor Mot , Suprosanna Shit , Jana Lipkova , Johannes C. Paetzold , Florian Kofler , Fernando Navarro , Chantal Pellegrini , Marcel Kollovieh , Marie Metz , Benedikt Wiestler , Bjoern Menze

We present a novel formulation for the calibration of a biophysical tumor growth model from a single-time snapshot, MRI scan of a glioblastoma patient. Tumor growth models are typically nonlinear parabolic partial differential equations…

Quantitative Methods · Quantitative Biology 2020-06-30 Klaudius Scheufele , Shashank Subramanian , Andreas Mang , George Biros , Miriam Mehl

Glioblastoma multiforme (GBM) is an aggressive form of human brain cancer that is under active study in the field of cancer biology. Its rapid progression and the relative time cost of obtaining molecular data make other readily-available…

Applications · Statistics 2019-11-14 Lorin Crawford , Anthea Monod , Andrew X. Chen , Sayan Mukherjee , Raúl Rabadán

Glioblastoma are known to infiltrate the brain parenchyma instead of forming a solid tumor mass with a defined boundary. Only the part of the tumor with high tumor cell density can be localized through imaging directly. In contrast, brain…

Our objective is the calibration of mathematical tumor growth models from a single multiparametric scan. The target problem is the analysis of preoperative Glioblastoma (GBM) scans. To this end, we present a fully automatic tumor-growth…

Medical Physics · Physics 2020-01-28 Klaudius Scheufele , Shashank Subramanian , George Biros

Glioblastoma Multiforme (GBM) is a highly aggressive brain tumour with limited therapeutic options and poor prognosis. This study presents a mathematical framework to investigate the efficacy of immunotherapy strategies based on cytotoxic…

Populations and Evolution · Quantitative Biology 2025-12-23 Francesca Ballatore , Lorenzo Scolaris , Chiara Giverso

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

Accurate differentiation of pseudoprogression (PsP) from True Progression (TP) following radiotherapy (RT) in glioblastoma (GBM) patients is crucial for optimal treatment planning. However, this task remains challenging due to the…

The aim of the systematic review was to assess recently published studies on diagnostic test accuracy of glioblastoma treatment response monitoring biomarkers in adults, developed through machine learning (ML). Articles were searched for…

Existing approaches to modeling the dynamics of brain tumor growth, specifically glioma, employ biologically inspired models of cell diffusion, using image data to estimate the associated parameters. In this work, we propose an alternative…

Glioblastoma, a highly aggressive brain tumor, poses major challenges due to its poor prognosis and high morbidity rates. Partial differential equation-based models offer promising potential to enhance therapeutic outcomes by simulating…

Computer Vision and Pattern Recognition · Computer Science 2025-09-10 Zeineb Haouari , Jonas Weidner , Yeray Martin-Ruisanchez , Ivan Ezhov , Aswathi Varma , Daniel Rueckert , Bjoern Menze , Benedikt Wiestler

Parameters in mathematical models for glioblastoma multiforme (GBM) tumour growth are highly patient specific. Here we aim to estimate parameters in a Cahn-Hilliard type diffuse interface model in an optimised way using model order…

Numerical Analysis · Mathematics 2023-07-19 Abramo Agosti , Pasquale Ciarletta , Harald Garcke , Michael Hinze

Gliomas are aggressive brain tumors that require accurate imaging-based diagnosis, with segmentation playing a critical role in evaluating morphology and treatment decisions. Manual delineation of gliomas is time-consuming and prone to…

Image and Video Processing · Electrical Eng. & Systems 2025-12-02 Cecilia Diana-Albelda , Roberto Alcover-Couso , Álvaro García-Martín , Jesus Bescos , Marcos Escudero-Viñolo

Differentiating true tumor progression (TP) from treatment-related pseudoprogression (PsP) in glioblastoma remains challenging, especially at early follow-up. We present the first stage-specific, cross-sectional benchmarking of deep…

Computer Vision and Pattern Recognition · Computer Science 2025-12-30 Wenhao Guo , Golrokh Mirzaei
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