Mathematical modeling and numerical simulation of arterial dissection based on a novel surgeon’s view

authored by

Meisam Soleimani, Rohan Deo, Blaz Hudobivnik, Reza Poyanmehr, Axel Haverich, Peter Wriggers

Abstract

This paper presents a mathematical model for arterial dissection based on a novel hypothesis proposed by a surgeon, Axel Haverich, see Haverich (Circulation 135(3):205–207, 2017. doi.org/10.1161/circulationaha.116.025407). In an attempt and based on clinical observations, he explained how three different arterial diseases, namely atherosclerosis, aneurysm and dissection have the same root in malfunctioning Vasa Vasorums (VVs) which are micro capillaries responsible for artery wall nourishment. The authors already proposed a mathematical framework for the modeling of atherosclerosis which is the thickening of the artery walls due to an inflammatory response to VVs dysfunction. A multiphysics model based on a phase-field approach coupled with mechanical deformation was proposed for this purpose. The kinematics of mechanical deformation was described using finite strain theory. The entire model is three-dimensional and fully based on a macroscopic continuum description. The objective here is to extend that model by incorporating a damage mechanism in order to capture the tearing (rupture) in the artery wall as a result of micro-injuries in VV. Unlike the existing damage-based model of the dissection in the literature, here the damage is driven by the internal bleeding (hematoma) rather than purely mechanical external loading. The numerical implementation is carried out using finite element method (FEM).

Organisation(s)

Institute of Continuum Mechanics

External Organisation(s)

Hannover Medical School (MHH)

Type

Article

Journal

Biomechanics and Modeling in Mechanobiology

Volume

Pages

2097-2116

No. of pages

ISSN

1617-7959

Publication date

12.2023

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Biotechnology, Modelling and Simulation, Mechanical Engineering

Electronic version(s)

https://doi.org/10.1007/s10237-023-01753-y (Access: Open)

Details in the research portal "Research@Leibniz University"

BibTeX

@article{dc5644294c0d4b31893b20b111dcfd71,
title = "Mathematical modeling and numerical simulation of arterial dissection based on a novel surgeon{\textquoteright}s view",
abstract = "This paper presents a mathematical model for arterial dissection based on a novel hypothesis proposed by a surgeon, Axel Haverich, see Haverich (Circulation 135(3):205–207, 2017. https://doi.org/10.1161/circulationaha.116.025407). In an attempt and based on clinical observations, he explained how three different arterial diseases, namely atherosclerosis, aneurysm and dissection have the same root in malfunctioning Vasa Vasorums (VVs) which are micro capillaries responsible for artery wall nourishment. The authors already proposed a mathematical framework for the modeling of atherosclerosis which is the thickening of the artery walls due to an inflammatory response to VVs dysfunction. A multiphysics model based on a phase-field approach coupled with mechanical deformation was proposed for this purpose. The kinematics of mechanical deformation was described using finite strain theory. The entire model is three-dimensional and fully based on a macroscopic continuum description. The objective here is to extend that model by incorporating a damage mechanism in order to capture the tearing (rupture) in the artery wall as a result of micro-injuries in VV. Unlike the existing damage-based model of the dissection in the literature, here the damage is driven by the internal bleeding (hematoma) rather than purely mechanical external loading. The numerical implementation is carried out using finite element method (FEM).",
keywords = "Atherosclerosis, Dissection, Finite element method, Phase-field modeling, Vasa vasorum",
author = "Meisam Soleimani and Rohan Deo and Blaz Hudobivnik and Reza Poyanmehr and Axel Haverich and Peter Wriggers",
year = "2023",
month = dec,
doi = "10.1007/s10237-023-01753-y",
language = "English",
volume = "22",
pages = "2097--2116",
journal = "Biomechanics and Modeling in Mechanobiology",
issn = "1617-7959",
publisher = "Springer Verlag",
number = "6",
}