Quantitative Criteria for the Degree of Pathological Remodeling of the Aortic Duct

Analysis of the properties of the aorta was carried out by numerous researchers using several parameters. However, the general laws of change in the dynamic geometry of the aortic flow channel in connection with the hydrodynamics of the swirling blood flow have not been studied properly. Therefore,...

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Bibliographic Details
Published in:Mathematics (Basel) 2022-12, Vol.10 (24), p.4773
Main Authors: Talygin, Eugene, Gorodkov, Alexander, Tibua, Teona, Bockeria, Leo
Format: Article
Language:English
Subjects:
Aorta
Aortic valve
Blood flow
Coronary vessels
Flow velocity
Fluid flow
Food science
Geometry
Heart
Hydrodynamics
navier-stokes equations
Parameters
Physiological aspects
potential swirling flow
Swirling
tornado-like jets
unsteady swirling flow
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Summary:Analysis of the properties of the aorta was carried out by numerous researchers using several parameters. However, the general laws of change in the dynamic geometry of the aortic flow channel in connection with the hydrodynamics of the swirling blood flow have not been studied properly. Therefore, at present, attempts to correct various diseases are carried out based on the location of the aneurysm, and not in accordance with the general patterns of changes in the dynamic geometry of the entire aortic channel. For a proper understanding of the aortic flow channel remodeling mechanisms, it is necessary to determine the quantitative parameters that formalize the geometry of this channel. The geometric shape of the aorta primarily depends on the hydrodynamics of the flow inside the aortic flow channel, which is the only source of force impact on its walls. The main result of the present study was that we obtained the new quantitative parameters that characterize the normal aorta and the degree of its shape deviations caused by pathological changes of the aortic duct. These parameters were calculated based on the software processing of the three-dimensional aortic reconstruction in normal conditions and in the case of differently localized aortic aneurysm.
ISSN:2227-7390
2227-7390
DOI:10.3390/math10244773