A finite element model of stress-mediated vascular adaptation: application to abdominal aortic aneurysms

Zeinali‐Davarani, Shahrokh; Sheidaei, Azadeh; Baek, Seungik

doi:10.1080/10255842.2010.495344

Cited by 54 publications

(88 citation statements)

References 77 publications

(107 reference statements)

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“…The majority of the studies focused on stress analysis of the AAA wall in a specific time point during the progression of the disease [3,6,8,10,[37][38][39][40], suggesting that wall stress is a better estimator of rupture potential than the "maximum diameter criterion" on a patient-to-patient basis. Furthermore, a separate category of studies focused on the dynamic adaptive processes by which AAA wall grows and remodels [7,20,25]. The latter studies not only track the evolving morphological properties of AAAs but also provide a window of opportunity to evaluate changes in the wall material and structural properties and, thus, wall strength (see review by Humphrey and Holzapfel [32]).…”

Section: Discussionmentioning

confidence: 99%

“…For more details of the specific constitutive strain energy function and stress-mediated constituent turnover, the reader is referred to Ref. [7]. The effect of constitutive formulation on the AAA wall stress can also be found in Ref.…”

Section: Methodsmentioning

confidence: 99%

“…Here, we use a previously developed membrane G&R model, with the details presented in Ref. [7], wherein the main configurations and the mappings between them are depicted in Fig. 1.…”

Section: Methodsmentioning

confidence: 99%

“…For decades, physicians have conducted a great deal of biomedical engineering research striving to understand why some small AAAs rupture, yet some large AAAs do not [1,2]. Growing evidence provides provisions that have a powerful systematic integration of data-driven specific markers [3,4] and biomechanics [5][6][7] for a more reliable criterion to determine the rupture risk.…”

Section: Introductionmentioning

confidence: 99%

“…In our recent studies, we developed a framework for the simulation of AAA expansion initiated by elastin degradation and continuous stress-mediated collagen turnover using realistic geometries [7,24].…”

Section: Introductionmentioning

confidence: 99%

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Computational Growth and Remodeling of Abdominal Aortic Aneurysms Constrained by the Spine

Farsad

Zeinali‐Davarani

Choi

et al. 2015

Journal of Biomechanical Engineering

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Abdominal aortic aneurysms (AAAs) evolve over time, and the vertebral column, which acts as an external barrier, affects their biomechanical properties. Mechanical interaction between AAAs and the spine is believed to alter the geometry, wall stress distribution, and blood flow, although the degree of this interaction may depend on AAAs specific configurations. In this study, we use a growth and remodeling (G&R) model, which is able to trace alterations of the geometry, thus allowing us to computationally investigate the effect of the spine for progression of the AAA. Medical image-based geometry of an aorta is constructed along with the spine surface, which is incorporated into the computational model as a cloud of points. The G&R simulation is initiated by local elastin degradation with different spatial distributions. The AAA-spine interaction is accounted for using a penalty method when the AAA surface meets the spine surface. The simulation results show that, while the radial growth of the AAA wall is prevented on the posterior side due to the spine acting as a constraint, the AAA expands faster on the anterior side, leading to higher curvature and asymmetry in the AAA configuration compared to the simulation excluding the spine. Accordingly, the AAA wall stress increases on the lateral, posterolateral, and the shoulder regions of the anterior side due to the AAA-spine contact. In addition, more collagen is deposited on the regions with a maximum diameter. We show that an image-based computational G&R model not only enhances the prediction of the geometry, wall stress, and strength distributions of AAAs but also provides a framework to account for the interactions between an enlarging AAA and the spine for a better rupture potential assessment and management of AAA patients.

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Section: Discussionmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

“…Here, we use a previously developed membrane G&R model, with the details presented in Ref. [7], wherein the main configurations and the mappings between them are depicted in Fig. 1.…”

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Computational Growth and Remodeling of Abdominal Aortic Aneurysms Constrained by the Spine

Farsad

Zeinali‐Davarani

Choi

et al. 2015

Journal of Biomechanical Engineering

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Modelling the influence of endothelial heterogeneity on the progression of arterial disease: application to abdominal aortic aneurysm evolution

Aparicio

Mandaltsi

Boamah

et al. 2014

Numer Methods Biomed Eng

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We sophisticate a fluid-solid growth computational framework for modelling aneurysm evolution. A realistic structural model of the arterial wall is integrated into a patient-specific geometry of the vasculature. This enables physiologically representative distributions of haemodynamic stimuli, obtained from a rigid-wall computational fluid dynamics analysis, to be linked to growth and remodelling algorithms. Additionally, a quasistatic structural analysis quantifies the cyclic deformation of the arterial wall so that collagen growth and remodelling can be explicitly linked to the cyclic deformation of vascular cells. To simulate aneurysm evolution, degradation of elastin is driven by reductions in wall shear stress (WSS) below homeostatic thresholds. Given that the endothelium exhibits spatial and temporal heterogeneity, we propose a novel approach to define the homeostatic WSS thresholds: We allow them to be spatially and temporally heterogeneous. We illustrate the application of this novel fluid-solid growth framework to model abdominal aortic aneurysm (AAA) evolution and to examine how the influence of the definition of the WSS homeostatic threshold influences AAA progression. We conclude that improved understanding and modelling of the endothelial heterogeneity is important for modelling aneurysm evolution and, more generally, other vascular diseases where haemodynamic stimuli play an important role.

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In silico study of vessel and stent‐graft parameters on the potential success of endovascular aneurysm repair

Hemmler

Lutz

Reeps

et al. 2019

Numer Methods Biomed Eng

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The variety of stent‐graft (SG) design variables (eg, SG type and degree of SG oversizing) and the complexity of decision making whether a patient is suitable for endovascular aneurysm repair (EVAR) raise the need for the development of predictive tools to assist clinicians in the preinterventional planning phase. Recently, some in silico EVAR methods have been developed to predict the deployed SG configuration. However, only few studies investigated how to assess the in silico EVAR outcome with respect to EVAR complication likelihoods (eg, endoleaks and SG migration). Based on a large literature study, in this contribution, 20 mechanical and geometrical parameters (eg, SG drag force and SG fixation force) are defined to evaluate the quality of the in silico EVAR outcome. For a cohort of n = 146 realizations of parameterized vessel and SG geometries, the in silico EVAR results are studied with respect to these mechanical and geometrical parameters. All degrees of SG oversizing in the range between 5% and 40% are investigated continuously by a computationally efficient parameter continuation approach. The in silico investigations have shown that the mechanical and geometrical parameters are able to indicate candidates at high risk of postinterventional complications. Hence, this study provides the basis for the development of a simulation‐based metric to assess the potential success of EVAR based on engineering parameters.

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A finite element model of stress-mediated vascular adaptation: application to abdominal aortic aneurysms

Cited by 54 publications

References 77 publications

Computational Growth and Remodeling of Abdominal Aortic Aneurysms Constrained by the Spine

Computational Growth and Remodeling of Abdominal Aortic Aneurysms Constrained by the Spine

Modelling the influence of endothelial heterogeneity on the progression of arterial disease: application to abdominal aortic aneurysm evolution

In silico study of vessel and stent‐graft parameters on the potential success of endovascular aneurysm repair

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