[HTML][HTML] 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 …

[HTML][HTML] 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 …

Effective equations for anisotropic glioma spread with proliferation: a multiscale approach and comparisons with previous settings

C Engwer, A Hunt, C Surulescu - … and biology: a journal of the …, 2016 - academic.oup.com
Glioma is a common type of primary brain tumour, with a strongly invasive potential, often
exhibiting non-uniform, highly irregular growth. This makes it difficult to assess the degree of …

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 …

Mathematical modelling of glioma growth: the use of diffusion tensor imaging (DTI) data to predict the anisotropic pathways of cancer invasion

KJ Painter, T Hillen - Journal of theoretical biology, 2013 - Elsevier
The nonuniform growth of certain forms of cancer can present significant complications for
their treatment, a particularly acute problem in gliomas. A number of experimental results …

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 …

Simulation of anisotropic growth of low‐grade gliomas using diffusion tensor imaging

S Jbabdi, E Mandonnet, H Duffau… - … in Medicine: An …, 2005 - Wiley Online Library
A recent computational model of brain tumor growth, developed to better describe how
gliomas invade through the adjacent brain parenchyma, is based on two major elements …

Mathematical modeling of glioma invasion and therapy approaches via kinetic theory of active particles

M Conte, Y Dzierma, S Knobe… - Mathematical Models and …, 2023 - World Scientific
A multiscale model for glioma spread in brain tissue under the influence of vascularization
and vascular endothelial growth factors is proposed. It accounts for the interplay between …

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 …

Tumor invasion margin on the Riemannian space of brain fibers

P Mosayebi, D Cobzas, A Murtha, M Jagersand - Medical image analysis, 2012 - Elsevier
Glioma is one of the most challenging types of brain tumors to treat or control locally. One of
the main problems is to determine which areas of the apparently normal brain contain …