Mathematical modelling of glioblastomas invasion within the brain: a 3D multi-scale moving-boundary approach

S Suveges, K Hossain-Ibrahim, JD Steele, R Eftimie… - Mathematics, 2021 - mdpi.com
Brain-related experiments are limited by nature, and so biological insights are often limited
or absent. This is particularly problematic in the context of brain cancers, which have very …

Diffusion tensor imaging in primary brain tumors: reproducible quantitative analysis of corpus callosum infiltration and contralateral involvement using a probabilistic …

B Stieltjes, M Schlüter, B Didinger, MA Weber… - Neuroimage, 2006 - Elsevier
Diffusion tensor imaging (DTI) has been advocated as a promising tool for delineation of the
extent of tumor infiltration by primary brain tumors. First reports show conflicting results …

[HTML][HTML] Texture analysis of apparent diffusion coefficient (ADC) map for glioma grading: Analysis of whole tumoral and peri-tumoral tissue

RK Soliman, AA Essa, AAS Elhakeem… - Diagnostic and …, 2021 - Elsevier
Purpose To prospectively investigate the capabilities of texture analysis (TA) based on
apparent diffusion coefficient (ADC) map of the entire tumor volume and the whole volume of …

Modeling glioma growth and mass effect in 3D MR images of the brain

C Hogea, C Davatzikos, G Biros - International Conference on Medical …, 2007 - Springer
In this article, we propose a framework for modeling glioma growth and the subsequent
mechanical impact on the surrounding brain tissue (mass-effect) in a medical imaging …

Mathematical modeling of human glioma growth based on brain topological structures: study of two clinical cases

C Suarez, F Maglietti, M Colonna, K Breitburd… - PloS one, 2012 - journals.plos.org
Gliomas are the most common primary brain tumors and yet almost incurable due mainly to
their great invasion capability. This represents a challenge to present clinical oncology …

Directional entropy based model for diffusivity-driven tumor growth

ME De Oliveira, LMG Neto - Mathematical Biosciences & …, 2015 - aimsciences.org
In this work, we present and investigate a multiscale model to simulate 3D growth of
glioblastomas (GBMs) that incorporates features of the tumor microenvironment and derives …

In silico tumor growth: application to glioblastomas

O Clatz, PY Bondiau, H Delingette, G Malandain… - … Conference on Medical …, 2004 - Springer
We propose a new model to simulate the growth of glioblastomas multiforma (GBM), the
most aggressive glial tumors. This model relies upon an anatomical atlas including white …

A Brownian dynamics tumor progression simulator with application to glioblastoma

RL Klank, SS Rosenfeld, DJ Odde - Convergent science physical …, 2018 - iopscience.iop.org
Tumor progression modeling offers the potential to predict tumor-spreading behavior to
improve prognostic accuracy and guide therapy development. Common simulation methods …

A complete mathematical study of a 3D model of heterogeneous and anisotropic glioma evolution

A Roniotis, K Marias, V Sakkalis… - … Conference of the …, 2009 - ieeexplore.ieee.org
Glioma is the most aggressive type of brain cancer. Several mathematical models have
been developed towards identifying the mechanism of tumor growth. The most successful …

Deep learning for reaction-diffusion glioma growth modeling: Towards a fully personalized model?

C Martens, A Rovai, D Bonatto, T Metens, O Debeir… - Cancers, 2022 - mdpi.com
Simple Summary Mathematical tumor growth models have been proposed for decades to
capture the growth of gliomas, an aggressive form of brain tumor. However, the estimation of …