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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…
math.AP2018
Sub-voxel perfusion modeling in terms of coupled 3d-1d problem
Karl Erik Holter, Miroslav Kuchta, Kent-André Mardal
We study perfusion by a multiscale model coupling diffusion in the tissue and diffusion along the one-dimensional segments representing the vasculature. We propose a block-diagonal…