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

DOI10.1016/j.amc.2012.02.036zbMath1245.65124OpenAlexW2058901707MaRDI QIDQ440785

Stavroula G. Giatili, Georgios S. Stamatakos

Publication date: 19 August 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.02.036

zbMATH Keywords

diffusionboundary conditionsglioblastoma multiformegliomain silico oncologymultiscale cancer modeling

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Computational methods for problems pertaining to biology (92-08)

Related Items (3)

A note on the numerical approach for the reaction-diffusion problem to model the density of the tumor growth dynamics ⋮ New alternative numerical approaches for solving the glioma model and their efficiencies ⋮ Travelling wave solutions of the reaction-diffusion mathematical model of glioblastoma growth: an Abel equation based approach

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