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Mathematical modelling of human brain transport: from medical images to biophysical simulation In Laboratoire Mechnique des Solides, École Polytechnique, Paris, France., 2022.
Mathematical modelling of human brain transport: from medical images to biophysical simulation In UCSD Institute for Neural Computation seminar series, La Jolla, CA, USA., 2022.
Mathematical modelling of human brain transport: from medical images to biophysical simulation In Pretty Porous Science Seminar, University of Stuttgart, Stuttgart, Germany., 2022.
Mathematical modelling of human brain transport: from medical images to biophysical simulation In ECCOMAS Conference, Oslo, Norway., 2022.
Modeling electrodiffusive, osmotic, and hydrostatic interplay in astrocyte networks. Neuroscience 2022: Society for Neuroscience, 2022.
Modeling fluid flow in perivascular networks In ECCOMAS22, Oslo (Norway)., 2022.
The pulsating brain: an interface-coupled fluid-poroelastic model of the cranial cavity In ECCOMAS Congress 2022, Oslo, Norway. ECCOMAS CONGRESS 2022, 2022.
eccomas_pulsatility.pdf (4.88 MB)
"Robust approximation of generalized Biot-Brinkman problems." Journal on Scientific Computing 93, no. 3 (2022): 77.
"A scalable solver for a stochastic, hybrid cellular automaton model of personalized breast cancer therapy." International Journal for Numerical Methods in Biomedical Engineering 38, no. 1 (2022): e3542.
Software and Data for "Human intracranial pulsatility during the cardiac cycle: a computational modelling framework". Zenodo, 2022.
Such stuff as dreams are made on: a computational tale of optimal transport and brain clearance In IEEE Brain Discovery Workshop on Brain, Mind and Body: Cognitive Neuroengineering for Health and Wellness., 2022.
Such stuff as dreams are made on: a finite element tale of optimal transport and brain clearance In Acta Numerica 30th Birthday Conference, Banach Centre at Bedlewo, Poland., 2022.
"Validating a computational framework for ionic electrodiffusion with cortical spreading depression as a case study." eNeuro 9 (2022).
Waterscales: Mathematical and computational foundations for modelling cerebral fluid flow In European Mathematical Society Magazine. Vol. 126. European Mathematical Society, 2022.
"Abstractions and automated algorithms for mixed-dimensional finite element methods." ACM Transactions on Mathematical Software 47, no. 4 (2021): 1-36.
"Accurate discretization of poroelasticity without Darcy stability – Stokes-Biot revisited." BIT Numerical Mathematics 61 (2021): 941-976.
Accurate numerical simulation of electrodiffusion and water movement in brain tissue with cortical spreading depression as a case study In Interpore 13th annual meeting (online), Edited by P. Farrell, N. Boullé, D. B. Dukefoss, R. Enger, K. Pettersen and G. Halnes. Online, 2021.
"Accurate numerical simulation of electrodiffusion and water movement in brain tissue." IMA Mathematical Medicine and Biology 38, no. 4 (2021): 516-551.
Brain modelling: from magnetic resonance images to finite element simulation - a lecture series In Porous Media Math Seminar Series, University of Bergen, Norway., 2021.
"Brain solute transport is more rapid in periarterial than perivenous spaces." Scientific Reports 11 (2021).
vinje2021.pdf (2.05 MB)
"A cell-based model for ionic electrodiffusion in excitable tissue." In Modeling Excitable Tissue: The EMI Framework, edited by K. Mardal, M. E. Rognes and A. Tveito, 14-27. Cham: Springer International Publishing, 2021.
"A cell-based model for ionic electrodiffusion in excitable tissue." In Modeling Excitable Tissue: The EMI Framework, edited by K. Mardal, M. E. Rognes and A. Tveito, 14-27. Cham: Springer International Publishing, 2021.
Computational brainphatics In 2021 SIAM Conference on Computational Science and Engineering., 2021.
Depressed brain cells - a numerical perspective In 6th Oxford International Neuron and Brain Mechanics Workshop, Oxford, UK., 2021.
"Derivation of a Cell-Based Mathematical Model of Excitable Cells." In Modeling Excitable Tissue: The EMI Framework, edited by A. Tveito, K. Mardal and M. E. Rognes, 1-13. Vol. 7. Cham: Springer International Publishing, 2021.