Morfoelastic models for the contraction of burn injuries
Antonio Barion
Supervisor TU Delft: Fred Vermolen and Matthias Moeller
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 November 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:
Large burn injuries are often characterised by the occurrence of contractures, which can limit the mobility of the
joints of a patient. Elastic models are able to predict stresses, strains and displacements, however, the
occurrence of permanent strains and stresses are modelled by using morfoelastic formulations. In this project, we
are interested in mathematical properties, such as (numerical) stability of the, in some cases, saddle point
problem and in computational efficiency and reliability. Several approaches will be considered, such as Arbitrary
Lagrangian Eulerian frameworks in the context of conventional finite-element methods, as well as the possibility
to use Isogeometric Analysis, where we will deal with basis functions that exhibit high levels of smoothness and
span the geometry of the time-evolving domain. The morfoelastic framework will be applicable to modelling
permanent contractions, as well as growth problems such as tumor growth. The framework will also be integrated
into agent-based formalisms where migrating cells exert pulling forces on their immediate environment.
Contact information:
Kees
Vuik
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