Blood Flow Simulation in Bifurcating Arteries: A Multiscale Approach After Fenestrated and Branched Endovascular Aneurysm Repair

Spyridon Katsoudas, Stavros Malatos, Anastasios Raptis, Miltiadis Matsagkas, Athanasios Giannoukas and Michalis Xenos ()
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Spyridon Katsoudas: Department of Mathematics, University of Ioannina, 45110 Ioannina, Greece
Stavros Malatos: Department of Vascular Surgery, Faculty of Medicine, School of Health Sciences, University of Thessaly, 41334 Larissa, Greece
Anastasios Raptis: Laboratory of Biofluid Mechanics & Biomedical Technology, School of Mechanical Engineering, National Technical University of Athens, 15772 Zografou, Greece
Miltiadis Matsagkas: Department of Vascular Surgery, Faculty of Medicine, School of Health Sciences, University of Thessaly, 41334 Larissa, Greece
Athanasios Giannoukas: Department of Vascular Surgery, Faculty of Medicine, School of Health Sciences, University of Thessaly, 41334 Larissa, Greece
Michalis Xenos: Department of Mathematics, University of Ioannina, 45110 Ioannina, Greece

Mathematics, 2025, vol. 13, issue 9, 1-19

Abstract: Pathophysiological conditions in arteries, such as stenosis or aneurysms, have a great impact on blood flow dynamics enforcing the numerical study of such pathologies. Computational fluid dynamics (CFD) could provide the means for the calculation and interpretation of pressure and velocity fields, wall stresses, and important biomedical factors in such pathologies. Additionally, most of these pathological conditions are connected with geometric vessel changes. In this study, the numerical solution of the 2D flow in a branching artery and a multiscale model of 3D flow are presented utilizing CFD. In the 3D case, a multiscale approach (3D and 0D–1D) is pursued, in which a dynamically altered velocity parabolic profile is applied at the inlet of the geometry. The obtained waveforms are derived from a 0D–1D mathematical model of the entire arterial tree. The geometries of interest are patient-specific 3D reconstructed abdominal aortic aneurysms after fenestrated (FEVAR) and branched endovascular aneurysm repair (BEVAR). Critical hemodynamic parameters such as velocity, wall shear stress, time averaged wall shear stress, and local normalized helicity are presented, evaluated, and compared.

Keywords: arterial bifurcation; vessel stenosis; finite volume method; multiscale mathematical models (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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