Abstract
In this paper, we are concerned with the simulation of blood flow and mass transport in vascularized human tissue. Our mathematical model is based on a domain decomposition approach, i.e., we separate the blood vessel network from the tissue and assign different flow and transport models to them. In a second step, the different models are coupled in a weakly consistent way. Flow and transport processes within a 3D tissue are governed by standard equations for porous media flow while within the larger blood vessels less complex 1D models can be used, and the smaller blood vessels can be even treated by 0D lumped parameter models. This results in a 3D-1D-0D coupled multi-scale model. By means of this tri-directionally coupled system, the influence of a peripheral stenosis on tissue perfusion and oxygen supply is investigated.
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Köppl, T., Helmig, R., Wohlmuth, B. (2015). A Multi-scale Model for Mass Transport in Arteries and Tissue. In: Mehl, M., Bischoff, M., Schäfer, M. (eds) Recent Trends in Computational Engineering - CE2014. Lecture Notes in Computational Science and Engineering, vol 105. Springer, Cham. https://doi.org/10.1007/978-3-319-22997-3_12
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DOI: https://doi.org/10.1007/978-3-319-22997-3_12
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