Article (Scientific journals)
A cut finite element method for spatially resolved energy metabolism models in complex neuro-cell morphologies with minimal remeshing
Farina, Sofia; Claus, Susanne; Hale, Jack et al.
2021In Advanced Modeling and Simulation in Engineering Sciences, 8, p. 5
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Keywords :
CutFEM; unfitted methods; FEM; level sets; reaction diffusion system; energy metabolism
Abstract :
[en] A thorough understanding of brain metabolism is essential to tackle neurodegenerative diseases. Astrocytes are glial cells which play an important metabolic role by supplying neurons with energy. In addition, astrocytes provide scaffolding and homeostatic functions to neighboring neurons and contribute to the blood–brain barrier. Recent investigations indicate that the complex morphology of astrocytes impacts upon their function and in particular the efficiency with which these cells metabolize nutrients and provide neurons with energy, but a systematic understanding is still elusive. Modelling and simulation represent an effective framework to address this challenge and to deepen our understanding of brain energy metabolism. This requires solving a set of metabolic partial differential equations on complex domains and remains a challenge. In this paper, we propose, test and verify a simple numerical method to solve a simplified model of metabolic pathways in astrocytes. The method can deal with arbitrarily complex cell morphologies and enables the rapid and simple modification of the model equations by users also without a deep knowledge in the numerical methods involved. The results obtained with the new method (CutFEM) are as accurate as the finite element method (FEM) whilst CutFEM disentangles the cell morphology from its discretisation, enabling us to deal with arbitrarily complex morphologies in two and three dimensions.
Disciplines :
Computer science
Author, co-author :
Farina, Sofia ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
Claus, Susanne;  Onera
Hale, Jack  ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
Skupin, Alexander  ;  University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB)
Bordas, Stéphane ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
External co-authors :
yes
Language :
English
Title :
A cut finite element method for spatially resolved energy metabolism models in complex neuro-cell morphologies with minimal remeshing
Publication date :
22 March 2021
Journal title :
Advanced Modeling and Simulation in Engineering Sciences
ISSN :
2213-7467
Publisher :
Springer, Germany
Special issue title :
Recent Developments in Unfitted Finite Element Methods
Volume :
8
Pages :
5
Peer reviewed :
Peer Reviewed verified by ORBi
Focus Area :
Computational Sciences
FnR Project :
FNR12252781 - Data-driven Computational Modelling And Applications, 2017 (01/09/2018-28/02/2025) - Andreas Zilian
Name of the research project :
DRIVEN
Funders :
FNR - Fonds National de la Recherche [LU]
Available on ORBilu :
since 14 March 2021

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