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Related papers: Continuous-Time Deep Glioma Growth Models

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Glioblastoma is a highly malignant brain tumor with a life expectancy of only 3 to 6 months without treatment. Detecting and predicting its survival and grade accurately are crucial. This study introduces a novel approach using transfer…

Starting from a two-scale description involving receptor binding dynamics and a kinetic transport equation for the evolution of the cell density function under velocity reorientations, we deduce macroscopic models for glioma invasion…

Numerical Analysis · Mathematics 2018-04-04 Gregor Corbin , Alexander Hunt , Florian Schneider , Axel Klar , Christina Surulescu

Gliomas constitute one of the most aggressive and heterogeneous forms of brain tumors, posing major challenges for understanding their biology and developing effective treatments. Animal models enable the collection of rich longitudinal…

Dynamic models are widely used to mathematically describe biological phenomena that evolve over time. One important area of application is leukaemia research, where leukaemia cells are genetically modified in preclinical studies to explore…

Methodology · Statistics 2026-02-02 Julian Wäsche , Romina Ludwig , Irmela Jeremias , Christiane Fuchs

Providing diagnostic feedback about growth is crucial to formative decisions such as targeted remedial instructions or interventions. This paper proposed a longitudinal higher-order diagnostic classification modeling approach for measuring…

Methodology · Statistics 2018-09-19 Peida Zhan , Hong Jiao , Dandan Liao

Detection of brain tumor using a segmentation based approach is critical in cases, where survival of a subject depends on an accurate and timely clinical diagnosis. Gliomas are the most commonly found tumors having irregular shape and…

Computer Vision and Pattern Recognition · Computer Science 2018-04-16 Saddam Hussain , Syed Muhammad Anwar , Muhammad Majid

Williams and Bjerknes proposed a simple stochastic growth model to describe the tumor growth in the basal layer of an epithelium. In this work we generalize this model by including the possibility of saturation in the tumor growth as it is…

Condensed Matter · Physics 2007-05-23 S. C. Ferreira Junior

A stochastic hierarchical model for the evolution of low grade gliomas is proposed. Starting with the description of cell motion using piecewise diffusion Markov processes (PDifMPs) at the cellular level, we derive an equation for the…

Tissues and Organs · Quantitative Biology 2022-06-23 Evelyn Buckwar , Martina Conte , Amira Meddah

Background: This research aims to improve glioblastoma survival prediction by integrating MR images, clinical and molecular-pathologic data in a transformer-based deep learning model, addressing data heterogeneity and performance…

In advancing discrete-based computational cancer models towards clinical applications, one faces the dilemma of how to deal with an ever growing amount of biomedical data that ought to be incorporated eventually in one form or another.…

Cell Behavior · Quantitative Biology 2008-06-26 Le Zhang , L. Leon Chen , Thomas S. Deisboeck

Clinical trials are a systematic endeavor to assess the safety and efficacy of new drugs or treatments. Conducting such trials typically demands significant financial investment and meticulous planning, highlighting the need for accurate…

Machine Learning · Computer Science 2025-11-03 Tien Huu Do , Antoine Masquelier , Nae Eoun Lee , Jonathan Crowther

Gliomas are lethal type of central nervous system tumors with a poor prognosis. Recently, with the advancements in the micro-array technologies thousands of gene expression related data of glioma patients are acquired, leading for salient…

Genomics · Quantitative Biology 2020-11-03 Navodini Wijethilake , Dulani Meedeniya , Charith Chitraranjan , Indika Perera

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

Cancer is a disease that takes millions of lives every year. Then, to propose treatments, avoid recurrence, and improve the patient's life quality, we need to analyze this disease from a biophysical perspective with a solid mathematical…

Quantitative Methods · Quantitative Biology 2024-07-09 Carlos M. Nieto , Oscar M. Pimentel , Fabio D. Lora-Clavijo

We investigate the long-time dynamics and optimal control problem of a diffuse interface model that describes the growth of a tumor in presence of a nutrient and surrounded by host tissues. The state system consists of a Cahn-Hilliard type…

Analysis of PDEs · Mathematics 2023-07-28 Cecilia Cavaterra , Elisabetta Rocca , Hao Wu

Strong experimental evidence has indicated that tumor growth belongs to the molecular beam epitaxy universality class. This type of growth is characterized by the constraint of cell proliferation to the tumor border, and surface diffusion…

Quantitative Methods · Quantitative Biology 2009-11-13 Carlos Escudero

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

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…

We investigate the dynamics of a nonlinear system modeling tumor growth with drug application. The tumor is viewed as a mixture consisting of proliferating, quiescent and dead cells as well as a nutrient in the presence of a drug. The…

Analysis of PDEs · Mathematics 2015-06-22 Donatella Donatelli , Konstantina Trivisa

Molecular classification has transformed the management of brain tumors by enabling more accurate prognostication and personalized treatment. However, timely molecular diagnostic testing for patients with brain tumors is limited,…