@phdthesis{Martens2020,
  author    = {Martens, Johannes},
  title     = {Development of an In-Silico Model of the Arterial Epicardial Vasculature},
  doi       = {10.25972/OPUS-18247},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-182478},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2020},
  abstract  = {In dynamic CE MR perfusion imaging the passage of an intravenously injected CA bolus through tissue is monitored to assess the myocardial pefusion state. To enable this, knowledge of the shape of CA wash-in through upstream epicardial vessels is required, the so-called AIF. For technical reasons this cannot be quantified directly in the supplying vessels and is thus measured in the left ventricle, which introduces the risk of systematic errors in quantification of MBF due to bolus dispersion in coronary vessels. This means occuring CA dispersion must be accounted in the quantification process in order to produce reliable and reproducible results. In order to do this, CFD simulations are performed to analyze and approximate these errors and deepen insights and knowledge gained from previous CFD analyses on both idealized as well as realistic and pathologically altered 3D geometries. In a first step, several different procedures and approaches are undertaken in order to accelerate the performed workflow, however, maintaining a sufficient degree of numerical accuracy. In the end, the implementation of these steps makes the analysis of the cardiovascular 3D model of unprecedented detail including vessels at pre-arteriolar level feasible at all. The findings of the Navier-Stokes simulations are thus validated with regard to different aspects of cardiac blood flow. These include the distribution of VBF into the different myocardial regions, the areals, which can be associated to the large coronary arteries as well as the fragmentation of VBF into vessels of different diameters. The subsequently performed CA transport simulations yield results on the one hand confirming previous studies. On the other hand, interesting additional knowledge about the behavior of CA dispersion in coronary arteries is obtained both regarding travelled distance as well as vessel diameters. The relative dispersion of the so-called vascular transport function, a characterizing feature of vascular networks, shows a linear decrease with vessel diameter. This results in asymptotically decreased additional dispersion of the CA time curve towards smaller and more distal vessels. Nonetheless, perfusion quantification errors are subject to strong regional variability and reach an average value of \$(-28\pm16)\$ \\% at rest across the whole myocardium. Depending on the distance from the inlet and the considered coronary tree, MBF errors up to 62 \\% are observed.},
  subject      = {Computerunterst{\"u}tztes Verfahren},
  language  = {en}
}