TY - GEN
T1 - A multi-scale model for mass transport in arteries and tissue
AU - Köppl, T.
AU - Helmig, R.
AU - Wohlmuth, B.
N1 - Publisher Copyright:
© Springer International Publishing Switzerland 2015
PY - 2015
Y1 - 2015
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/84951266807
U2 - 10.1007/978-3-319-22997-3_12
DO - 10.1007/978-3-319-22997-3_12
M3 - Conference contribution
AN - SCOPUS:84951266807
SN - 9783319229966
T3 - Lecture Notes in Computational Science and Engineering
SP - 197
EP - 213
BT - Recent Trends in Computational Engineering - CE2014 - Optimization, Uncertainty, Parallel Algorithms, Coupled and Complex Problems
A2 - Bischoff, Manfred
A2 - Mehl, Miriam
A2 - Schäfer, Michael
PB - Springer Verlag
T2 - 3rd International Workshop on Computational Engineering, CE 2014
Y2 - 6 October 2014 through 10 October 2014
ER -