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arXiv · 1803.04896

Sub-voxel perfusion modeling in terms of coupled 3d-1d problem

Karl Erik Holter·Miroslav Kuchta·Kent-André Mardal
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Abstract

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 preconditioner for the model equations and demonstrate its robustness by numerical experiments. We compare our model to a macroscale model by [P. Tofts, Modelling in DCE MRI, 2012].

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Karl Erik Holter, Miroslav Kuchta, Kent-André Mardal. 2018-03-13. Sub-voxel perfusion modeling in terms of coupled 3d-1d problem. https://arxiv.org/abs/1803.04896

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