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.
%0 Journal Article
%1 Suditsch2021a
%A Suditsch, M.
%A Lambers, L.
%A Ricken, T.
%A Wagner, A.
%D 2021
%J PAMM
%K EXC2075 mib_ls2 pn2 simtech
%N 1
%P e202100204
%R https://doi.org/10.1002/pamm.202100204
%T Application of a continuum-mechanical tumour model to brain tissue
%U https://onlinelibrary.wiley.com/doi/abs/10.1002/pamm.202100204
%V 21
%X 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.
@article{Suditsch2021a,
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.},
added-at = {2021-12-15T13:53:40.000+0100},
author = {Suditsch, M. and Lambers, L. and Ricken, T. and Wagner, A.},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2355f6c70f448647bf8dc3b8af9cf4cdb/marlonsuditsch},
doi = {https://doi.org/10.1002/pamm.202100204},
eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/pamm.202100204},
interhash = {aab3a670094ee7c671d24014d7dc0720},
intrahash = {355f6c70f448647bf8dc3b8af9cf4cdb},
journal = {PAMM},
keywords = {EXC2075 mib_ls2 pn2 simtech},
number = 1,
pages = {e202100204},
timestamp = {2021-12-15T12:55:02.000+0100},
title = {Application of a continuum-mechanical tumour model to brain tissue},
url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/pamm.202100204},
volume = 21,
year = 2021
}
