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math.AP2023
Directional flow in perivascular networks: Mixed finite elements for reduced-dimensional models on graphs
Ingeborg G. Gjerde, Miroslav Kuchta, Marie E. Rognes +1
The flow of cerebrospinal fluid through the perivascular spaces of the brain is believed to play a crucial role in eliminating toxic waste proteins. While the driving forces of thi…
math.AP2023
The modelling error in multi-dimensional time-dependent solute transport models
Rami Masri, Marius Zeinhofer, Miroslav Kuchta +1
Starting from full-dimensional models of solute transport, we derive and analyze multi-dimensional models of time-dependent convection, diffusion, and exchange in and around pulsat…