Abstract
In this paper, we demonstrate a multi-scale model for studying blood flow in the vascular structures of an organ. The model may be used for a tracer concentration flow simulation replicating Dynamic Contrast-Enhanced Magnetic Resonance Imaging (DCE–MRI) data. A 1D vascular graph model that represents blood flow through a vascular vessel network is coupled with a single-phase Darcy flow model for the capillary bed which is assumed as a porous media. Numerical experiments show the blood circulation in the system closely related to the structure and parameter of the vascular system, that gives qualitatively realistic tracer concentration flow. This model is a starting point for further investigation in development into clinical applications, using both real data and MRI analysis software.
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Qohar, U.N.A., Munthe-Kaas, A.Z., Nordbotten, J.M., Hanson, E.A. (2021). A Multi-Scale Flow Model for Studying Blood Circulation in Vascular System. In: Vermolen, F.J., Vuik, C. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2019. Lecture Notes in Computational Science and Engineering, vol 139. Springer, Cham. https://doi.org/10.1007/978-3-030-55874-1_73
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