Patient‐specific simulation of brain tumour growth and regression

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Abstract: The medical relevance of brain tumours is characterised by its locally invasive and destructive growth. With a high mortality rate combined with a short remaining life expectancy, brain tumours are identified as highly malignant. A continuum‐mechanical model for the description of the governing processes of growth and regression is derived in the framework of the Theory of Porous Media (TPM). The model is based on medical multi‐modal magnetic resonance imaging (MRI) scans, which represent the gold standard in diagnosis. The multi‐phase model is described mathematically via strongly coupled partial differential equations. This set of governing equations is transformed into their weak formulation and is solved with the software package FEniCS. A proof‐of‐concept simulation based on one patient geometry and tumour pathology shows the relevant processes of tumour growth and the results are discussed.

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Bibliographic citation: Patient‐specific simulation of brain tumour growth and regression ; volume:23 ; number:1 ; year:2023 ; extent:7
Proceedings in applied mathematics and mechanics ; 23, Heft 1 (2023) (gesamt 7)

Creator: Suditsch, Marlon
Ricken, Tim
Wagner, Arndt

DOI: 10.1002/pamm.202200213

URN: urn:nbn:de:101:1-2023060115140598126612

Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Last update: 14.08.2025, 10:48 AM CEST

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Suditsch, Marlon
Ricken, Tim
Wagner, Arndt

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