A detailed numerical treatment of the boundary conditions imposed by the skull on a diffusion–reaction model of glioma tumor growth. Clinical validation aspects

SG Giatili, GS Stamatakos - Applied Mathematics and Computation, 2012 - Elsevier
The study of the diffusive behavior of glioma tumor growth is an active field of biomedical
research with considerable therapeutic implications. An important aspect of the …

Web-based workflow planning platform supporting the design and execution of complex multiscale cancer models

V Sakkalis, S Sfakianakis, E Tzamali… - IEEE Journal of …, 2014 - ieeexplore.ieee.org
Significant Virtual Physiological Human efforts and projects have been concerned with
cancer modeling, especially in the European Commission Seventh Framework research …

Performance analysis of successive over relaxation method for solving glioma growth model

A Hussain, I Faye, MS Muthuvalu - AIP Conference Proceedings, 2016 - pubs.aip.org
Brain tumor is one of the prevalent cancers in the world that lead to death. In light of the
present information of the properties of gliomas, mathematical models have been developed …

Numerical simulation of brain tumor growth model using two-stage Gauss-Seidel method

A Hussain, MS Muthuvalu, I Faye - Journal of Fundamental and Applied …, 2017 - ajol.info
In the recent years, the study of glioma growth to be an active field of research Mathematical
models that describe the proliferation and diffusion properties of the growth have been …

New alternative numerical approaches for solving the glioma model and their efficiencies

SÖ Korkut - Mathematical Sciences, 2021 - Springer
In this article, the numerical solution of glioma, or glioblastomas, which is one of the most
aggressive forms of cancer is considered. A heterogeneous nonlinear diffusion logistic …

[PDF][PDF] The Nephroblastoma Oncosimulator: Clinical adaptation for patients of distinct histologic profiles using high performance computing

F Panagiotidou - 2022 - dspace.lib.ntua.gr
The Oncosimulator is a top-down discrete entity-discrete event model for multiscale cancer
modeling, that represents the tumor in silico as a 3D matrix of voxels and utilizes the …

Hybrid model for tumor spheroids with intratumoral oxygen supply heterogeneity

G Tzedakis, E Tzamali, V Sakkalis… - Proceedings of the …, 2012 - ieeexplore.ieee.org
Tumor growth involves numerous biochemical and biophysical processes related to the
invasion of surrounding tissue and metastasis. Such phenomena occur at different scales of …