Proceedings Vol. 20 (2014)
ENGINEERING MECHANICS 2014
May 12 – 15, 2014, Svratka, Czech Republic
Copyright © 2014 Brno University of Technology Institute of Solid Mechanics, Mechatronics and Biomechanics
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)
list of papers scientific commitee
pages 289 - 292, full text
The mathematical modelling of 3D blood flow coupled with contrast medium propagation in patient-specific human vessels ranks among the most computationally-demanding tasks, especially if a large vessel network is considered. With this in mind, some measure of simplification for potential use in clinical practice is usually inevitable and often also desired. In the present study, the main interest lies in the quantitative comparison between 3D and 1D models of portal hemodynamics and contrast medium propagation in two hepatic portal vein networks reconstructed from CT scans provided by the courtesy of the University Hospital Pilsen. To approximate the flow resistance of the downstream vascular bed and hepatic tissue, the mathematical model of Newtonian blood flow is coupled with the three-element Windkessel model. The numerical simulations of 3D and 1D blood flow and contrast medium propagation under average flow conditions are carried out using own in-house software. The obtained results show that, although the 1D model can never completely imitate the computational capabilities of the 3D model, its easy implementation, time-saving model preparation and almost no demands on computer technology dominate as advantages over obvious but moderate modelling errors arising from the dimensional reduction.
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