The PhD defence will be partially digital, at Simula Research Laboratory, Kristian Augusts gate 23 and streamed directly using Zoom. The host of the session will moderate the technicalities while the chair of the defence will moderate the disputation.
Ex auditorio questions: the chair of the defence will invite the audience to ask questions ex auditorio at the end of the defence. If you would like to ask a question, click 'Raise hand' and wait to be unmuted.
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Submit request to access (available from 26th January 10:00 until 10th February 10:00)
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Trial lecture
8th of February, time: 14:00 pm, Simula Research Laboratory, Kristian Augusts gate 23 and Zoom.
Main research findings
Mathematical modelling of brain parenchyma mechanics and fluid dynamics is a powerful tool to better understand clearance mechanisms, and investigate mechanistic hypotheses that cannot be verified with in vivo experiments. Single and multiple network poroelasticity theory (MPET) can be used to model the behaviour of different types of porous media. In addition, MPET has been used in the past decade to understand better how the different fluid compartments exchange mass in the brain and, more generally, the brain’s clearance process. Nonetheless, the MPET equations applied to brain modelling present several numerical and modelling challenges. Therefore, in the articles collected in this thesis, an analysis of the system of equations from a numerical and computational viewpoint using both theoretical proofs and practical numerical experiments is presented.
In particular, we present parameter-robust formulations and preconditioners for the MPET equations in order to solve the system in an efficient and accurate maner. In addition, brain parenchyma pulsatility is modelled via linear elasticity and single network poroelasticity equations in a realistic human brain domain.
Adjudication committee
- Associate Professor Carmen Rodrigo Cardiel, University of Zaragoza
- Professor Paola Antoniette, Politecnico di Milano
- Professor Kenneth H. Karlsen, University of Oslo
Supervisors
- Chief Research Scientist Marie Elisabeth Rognes, Simula Research Laboratory
- Professor Kent-Andre Mardal, University of Oslo
Chair of defence
Professor Geir Dahl
Host of the session
Professor Kenneth H. Karlsen