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Numerical Methods and CFD Techniques for Drug Application in Brain Tumor Treatment
Author(s) -
Shcherbinina Elena,
Turek Stefan
Publication year - 2008
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200810195
Subject(s) - computational fluid dynamics , discretization , partial differential equation , conservation of mass , mathematics , computer science , physics , mechanics , mathematical analysis
In our work, the governing system of equations consists of a mass conservation equation, a momentum equation and an equation for the drug concentration in the brain tumor. This system describes the penetration of drugs into the brain tumor (there is a cavity after surgical removal of a cancer tumor), which fill up the cavity after a surgery. We use techniques of computational fluid dynamics (CFD) to get a solution of the derived partial differential equations (Navier–Stokes equation with additional scalar equations and force terms) and obtain a saddle point problem after discretization of the governing system of equations with finite elements such that we can use modern CFD tools and software like FEATFLOW to get numerical solutions of this problem. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)