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We present a 3D fully-automatic method for the calibration of partial differential equation (PDE) models of glioblastoma (GBM) growth with mass effect, the deformation of brain tissue due to the tumor. We quantify the mass effect, tumor…

Quantitative Methods · Quantitative Biology 2020-06-18 Shashank Subramanian , Klaudius Scheufele , Naveen Himthani , George Biros

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

We present a multi-species partial differential equation (PDE) model for tumor growth and a an algorithm for calibrating the model from magnetic resonance imaging (MRI) scans. The model is designed for glioblastoma (GBM) brain tumors. The…

Numerical Analysis · Mathematics 2024-08-27 Ali Ghafouri , George Biros

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

In this article, we present a multispecies reaction-advection-diffusion partial differential equation (PDE) coupled with linear elasticity for modeling tumor growth. The model aims to capture the phenomenological features of glioblastoma…

Medical Physics · Physics 2019-05-28 Shashank Subramanian , Amir Gholami , George Biros

Reliably predicting the future spread of brain tumors using imaging data and on a subject-specific basis requires quantifying uncertainties in data, biophysical models of tumor growth, and spatial heterogeneity of tumor and host tissue.…

Computational Engineering, Finance, and Science · Computer Science 2022-09-27 Baoshan Liang , Jingye Tan , Luke Lozenski , David A. Hormuth , Thomas E. Yankeelov , Umberto Villa , Danial Faghihi

Motivated by the need for advanced solutions in the segmentation and inpainting of glioma-affected brain regions in multi-modal magnetic resonance imaging (MRI), this study presents an integrated approach leveraging the strengths of…

Image and Video Processing · Electrical Eng. & Systems 2024-12-17 Ramy A. Zeineldin , Franziska Mathis-Ullrich

Brain tumors, particularly glioblastoma, continue to challenge medical diagnostics and treatments globally. This paper explores the application of deep learning to multi-modality magnetic resonance imaging (MRI) data for enhanced brain…

Image and Video Processing · Electrical Eng. & Systems 2023-08-15 Chiranjeewee Prasad Koirala , Sovesh Mohapatra , Advait Gosai , Gottfried Schlaug

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

We present a numerical scheme for solving an inverse problem for parameter estimation in tumor growth models for glioblastomas, a form of aggressive primary brain tumor. The growth model is a reaction-diffusion partial differential equation…

Medical Physics · Physics 2020-04-22 Shashank Subramanian , Klaudius Scheufele , Miriam Mehl , George Biros

Brain tumors remain a critical global health challenge, necessitating advancements in diagnostic techniques and treatment methodologies. A tumor or its recurrence often needs to be identified in imaging studies and differentiated from…

Image and Video Processing · Electrical Eng. & Systems 2024-03-18 Shashidhar Reddy Javaji , Sovesh Mohapatra , Advait Gosai , Gottfried Schlaug

We present the SIBIA (Scalable Integrated Biophysics-based Image Analysis) framework for joint image registration and biophysical inversion and we apply it to analyse MR images of glioblastomas (primary brain tumors). In particular, we…

Magnetic Resonance Imaging (MRI) is widely recognized as the most reliable tool for detecting tumors due to its capability to produce detailed images that reveal their presence. However, the accuracy of diagnosis can be compromised when…

Computer Vision and Pattern Recognition · Computer Science 2025-07-18 Zahid Ullah , Dragan Pamucar , Jihie Kim

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

Glioblastoma is one of the most aggressive and deadliest types of brain cancer, with low survival rates compared to other types of cancer. Analysis of Magnetic Resonance Imaging (MRI) scans is one of the most effective methods for the…

Image and Video Processing · Electrical Eng. & Systems 2023-12-20 Huafeng Liu , Benjamin Dowdell , Todd Engelder , Zarah Pulmano , Nicolas Osa , Arko Barman

Brain tumors present a grave risk to human life, demanding precise and timely diagnosis for effective treatment. Inaccurate identification of brain tumors can significantly diminish life expectancy, underscoring the critical need for…

Image and Video Processing · Electrical Eng. & Systems 2025-06-10 Md. Alamin Talukder , Md. Manowarul Islam , Md Ashraf Uddin

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

Current treatment planning of patients diagnosed with a brain tumor, such as glioma, could significantly benefit by accessing the spatial distribution of tumor cell concentration. Existing diagnostic modalities, e.g. magnetic resonance…

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

Segmenting brain tumors in multi-parametric magnetic resonance imaging enables performing quantitative analysis in support of clinical trials and personalized patient care. This analysis provides the potential to impact clinical…

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