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 …
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 …
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 …
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 …
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 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 …
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 …
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 …
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 …