Comparison between a generalized Newtonian model and a network-type multiscale model for hemodynamic behavior in the aortic arch: Validation with 4D MRI data for a case study |
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| Affiliation: | 1. Department of Physics and Astronomy, University of Manitoba, Winnipeg, MB R3T 2 N2, Canada;2. Department of Radiology, University of Manitoba, Winnipeg, MB R3T 2 N2, Canada;3. Medical Devices, National Research Council Canada, Winnipeg, MB R3B 1Y6, Canada;4. Department of Physics, University of Winnipeg, Winnipeg, MB R3B 2E9, Canada;1. Biomedical Engineering, Politecnico di Milano, Milan, Italy;2. Isfahan University of Technology, Isfahan, Iran;3. Department of Mechanical Engineering, Sharif University of Technology (SUT), Tehran, Iran;4. Arak Medical University of Sciences, School of Medicine, Arak, Iran;5. Independent Researcher, Shiraz, Iran;6. Department of Nutrition, Cihan University-Erbil, Kurdistan Region, Iraq;7. Department of Phytochemistry, SRC, Soran University, KRG, Iraq;8. Department of Chemical and Process Engineering, Faculty of Engineering and Built Environment, Universiti Kebangsaan Malaysia (UKM), 43600, Bangi, Selangor, Malaysia;9. Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, Ankara, Turkey;10. Institute of Space Sciences, Magurele, Romania;11. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan;12. Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran;1. Department of Engineering, University of Palermo, viale delle Scienze, Ed.8, 90128, Palermo, Italy;2. Department for the Treatment and Study of Cardiothoracic Diseases and Cardiothoracic Transplantation, IRCCS-ISMETT, via Tricomi n.5, 90127, Palermo, Italy;3. Department of Diagnostic and Therapeutic Services, Radiology Unit, IRCCS-ISMETT, via Tricomi n.5, 90127, Palermo, Italy |
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| Abstract: | Blood is a complex fluid in which the presence of the various constituents leads to significant changes in its rheological properties. Thus, an appropriate non-Newtonian model is advisable; and we choose a Modified version of the rheological model of Phan-Thien and Tanner (MPTT). The different parameters of this model, derived from the rheology of polymers, allow characterization of the non-Newtonian nature of blood, taking into account the behavior of red blood cells in plasma. Using the MPTT model that we implemented in the open access software OpenFOAM, numerical simulations have been performed on blood flow in the thoracic aorta for a healthy patient. We started from a patient-specific model which was constructed from medical images. Exiting flow boundary conditions have been developped, based on a 3-element Windkessel model to approximate physiological conditions. The parameters of the Windkessel model were calibrated with in vivo measurements of flow rate and pressure. The influence of the selected viscosity of red blood cells on the flow and wall shear stress (WSS) was investigated. Results obtained from this model were compared to those of the Newtonian model, and to those of a generalized Newtonian model, as well as to in vivo dynamic data from 4D MRI during a cardiac cycle. Upon evaluating the results, the MPTT model shows better agreement with the MRI data during the systolic and diastolic phases than the Newtonian or generalized Newtonian model, which confirms our interest in using a complex viscoelastic model. |
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| Keywords: | Hemodynamics Thoracic aneurysms Non-Newtonian flow 4D MRI Modified Phan-Thien and Tanner model |
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