Application of a continuum‐mechanical tumour model to brain tissue. Issue 1 (14th December 2021)

• Record Type: Journal Article
• Authors: Suditsch, M.; Lambers, L.; Ricken, T.; Wagner, A.
• Editors: Kaliske, M.
• Is Part Of: Proceedings in applied mathematics and mechanics. Volume 21:Issue 1(2021)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2021-12-14
• Subjects: Applied mathematics -- Periodicals; Engineering mathematics -- Periodicals; Mathematical physics -- Periodicals; 519
• DOI: 10.1002/pamm.202100204
• Languages: English
• ISSNs: 1617-7061

Abstract

Abstract: Brain tumours are among the most serious diseases of our time. A continuum‐mechanical model is proposed to represent the basic processes of growth and regression. The physical multi‐constituent approach is derived in the framework of the Theory of Porous Media (TPM). This modelling approach can be expressed mathematically via strongly coupled partial differential equations (PDEs), that are solved using the well‐known Finite Element Method with the software toolkit FEniCS. A realistic initial‐boundary‐value problem is used to demonstrate the workflow with the used software and the capabilities of the model.