Details
| Original language | English |
|---|---|
| Pages (from-to) | 2097-2116 |
| Number of pages | 20 |
| Journal | Biomechanics and Modeling in Mechanobiology |
| Volume | 22 |
| Issue number | 6 |
| Early online date | 8 Aug 2023 |
| Publication status | Published - Dec 2023 |
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
ASJC Scopus subject areas
- Biochemistry, Genetics and Molecular Biology(all)
- Biotechnology
- Mathematics(all)
- Modelling and Simulation
- Engineering(all)
- Mechanical Engineering
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In: Biomechanics and Modeling in Mechanobiology, Vol. 22, No. 6, 12.2023, p. 2097-2116.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Mathematical modeling and numerical simulation of arterial dissection based on a novel surgeon’s view
AU - Soleimani, Meisam
AU - Deo, Rohan
AU - Hudobivnik, Blaz
AU - Poyanmehr, Reza
AU - Haverich, Axel
AU - Wriggers, Peter
PY - 2023/12
Y1 - 2023/12
N2 - 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).
AB - 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).
KW - Atherosclerosis
KW - Dissection
KW - Finite element method
KW - Phase-field modeling
KW - Vasa vasorum
UR - http://www.scopus.com/inward/record.url?scp=85167362095&partnerID=8YFLogxK
U2 - 10.1007/s10237-023-01753-y
DO - 10.1007/s10237-023-01753-y
M3 - Article
C2 - 37552344
AN - SCOPUS:85167362095
VL - 22
SP - 2097
EP - 2116
JO - Biomechanics and Modeling in Mechanobiology
JF - Biomechanics and Modeling in Mechanobiology
SN - 1617-7959
IS - 6
ER -