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

Eugene Talygin (), Alexander Gorodkov, Teona Tibua and Leo Bockeria
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Eugene Talygin: Bakulev National Medical Research Center for Cardiovascular Surgery, Russian Academy of Medical Sciences, 121552 Moscow, Russia
Alexander Gorodkov: Bakulev National Medical Research Center for Cardiovascular Surgery, Russian Academy of Medical Sciences, 121552 Moscow, Russia
Teona Tibua: Bakulev National Medical Research Center for Cardiovascular Surgery, Russian Academy of Medical Sciences, 121552 Moscow, Russia
Leo Bockeria: Bakulev National Medical Research Center for Cardiovascular Surgery, Russian Academy of Medical Sciences, 121552 Moscow, Russia

Mathematics, 2022, vol. 10, issue 24, 1-22

Abstract: 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.

Keywords: potential swirling flow; navier-stokes equations; unsteady swirling flow; tornado-like jets (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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