Morfo-poroelastic models for tumor growth
Duncan den Bakker
Supervisor TU Delft: Fred Vermolen
start of the project: January 2020
In June 2020 the
Interim Thesis
has appeared
and a
presentation
has been given.
The Master project has been finished in July 2020
by the completion of the
Masters Thesis
and a final
presentation
has been given.
For working address etc. we refer to our
alumnipage.
Summary of the master project:
Growth of tumors is characterised by excessive cancer cell proliferation and by the exerting of pushing forces on
their neighbours and immediate environment. Since tumors contain both solid and liquid media, it is necessary to
incorporate the fluid-structure interaction of these different phases in the growth problem. For this reason, we
integrate morfological changes in the poroelastic framework by Biot. This integration will be analysed in terms of
(numerical) stability and applicability of finite-element methods. A probable implementation is the use
Taylor-Hood type elements in which the polynomial order of the velocity exceeds the polynomial order of the
pressure and where the pressure is modelled through continuous basis functions. Other alternatives are the quest
of so-called 'mini elements', which are known to be suitable for saddle-point problems.
Contact information:
Kees
Vuik
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