High-grade glioma diffusive modeling using statistical tissue information and diffusion tensors extracted from atlases

A Roniotis, GC Manikis, V Sakkalis… - IEEE Transactions …, 2011 - ieeexplore.ieee.org
Glioma, especially glioblastoma, is a leading cause of brain cancer fatality involving highly
invasive and neoplastic growth. Diffusive models of glioma growth use variations of the …

Importance of patient DTI's to accurately model glioma growth using the reaction diffusion equation

E Stretton, E Geremia, B Menze… - 2013 IEEE 10th …, 2013 - ieeexplore.ieee.org
Tumor growth models based on the FisherKolmogorov reaction-diffusion equation (FK) have
shown convincing results in reproducing and predicting the invasion patterns of gliomas …

In Silico Neuro-Oncology: Brownian Motion-Based Mathematical Treatment as a Potential Platform for Modeling the Infiltration of Glioma Cells into Normal Brain …

M Antonopoulos, G Stamatakos - Cancer informatics, 2015 - journals.sagepub.com
Intensive glioma tumor infiltration into the surrounding normal brain tissues is one of the
most critical causes of glioma treatment failure. To quantitatively understand and …

Simulating radiotherapy effect in high‐grade glioma by using diffusive modeling and brain atlases

A Roniotis, K Marias, V Sakkalis… - BioMed Research …, 2012 - Wiley Online Library
Applying diffusive models for simulating the spatiotemporal change of concentration of
tumour cells is a modern application of predictive oncology. Diffusive models are used for …

Biocomputing: numerical simulation of glioblastoma growth using diffusion tensor imaging

PY Bondiau, O Clatz, M Sermesant… - Physics in Medicine …, 2008 - iopscience.iop.org
Glioblastoma multiforma (GBM) is one of the most aggressive tumors of the central nervous
system. It can be represented by two components: a proliferative component with a mass …

Glioma follow white matter tracts: a multiscale DTI-based model

C Engwer, T Hillen, M Knappitsch… - Journal of mathematical …, 2015 - Springer
Gliomas are a class of rarely curable tumors arising from abnormal glia cells in the human
brain. The understanding of glioma spreading patterns is essential for both radiological …

A patient-specific anisotropic diffusion model for brain tumour spread

A Swan, T Hillen, JC Bowman, AD Murtha - Bulletin of mathematical …, 2018 - Springer
Gliomas are primary brain tumours arising from the glial cells of the nervous system. The
diffuse nature of spread, coupled with proximity to critical brain structures, makes treatment a …

In-depth analysis and evaluation of diffusive glioma models

A Roniotis, V Sakkalis, I Karatzanis… - IEEE Transactions …, 2012 - ieeexplore.ieee.org
Glioma is one of the most aggressive types of brain tumor. Several mathematical models
have been developed during the past two decades, toward simulating the mechanisms that …

A multiscale model for glioma spread including cell-tissue interactions and proliferation

C Engwer, M Knappitsch… - … Biosciences & Engineering, 2015 - aimsciences.org
Glioma is a broad class of brain and spinal cord tumors arising from glia cells, which are the
main brain cells that can develop into neoplasms. They are highly invasive and lead to …

Evaluating the predictive value of glioma growth models for low-grade glioma after tumor resection

KA van Garderen, SR van der Voort… - … on Medical Imaging, 2023 - ieeexplore.ieee.org
Tumor growth models have the potential to model and predict the spatiotemporal evolution
of glioma in individual patients. Infiltration of glioma cells is known to be faster along the …