Computational modeling of progressive damage and rupture in fibrous biological tissues: application to aortic dissection

Gültekin, Osman; Hager, Sandra Priska; Dal, Hüsnü; Holzapfel, Gerhard

doi:10.1007/s10237-019-01164-y

Cited by 47 publications

(39 citation statements)

References 71 publications

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“…As for the longitudinal EL undulation or the waviness of EL ridge, the numerical results obtained in the selected cases (n = 19), Wr = 1.212 ± 0.089 (mean ± SD), were relatively consistent with the corresponding experimental result (Iijima et al, 2012). Interestingly, Wr = ~1.2 is equivalent to an axial pre-stretch commonly applied to the computational models of the aorta (Heusinkveld et al, 2018;Gültekin et al, 2019), suggesting that W and Wr would completely vanish at the physiological condition with the increase in vascular internal pressure. When the magnitude of |Pre-Y| is larger than that of |Pre-X|, EL buckling would preferentially occur along the longitudinal direction rather than the circumferential direction, irrespective of the assigned internodal gaps.…”

Section: Discussionsupporting

confidence: 72%

Modeling elastic lamina buckling in the unloaded aortic media

Tamura

Kato

Matsumoto

2021

Mechanical Engineering Journal

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Mathematical modeling of the thoracic aorta is important for detecting extraordinary and unusual stress or strain distributions of the hypertensive aortic wall, even in early stages, and for understanding the development and progression of various cardiovascular diseases. In a freshly isolated aortic media, which mainly comprises elastic laminas (ELs) and smooth muscle layers (SMLs), circumferential EL waviness and longitudinal EL undulation are often observed because of the buckling of ELs, which is closely associated with residual stresses of ELs and SMLs in the aortic wall. However, the mechanism underlying EL buckling or specific mechanical interactions between EL and SML remains unclear. We hypothesized that the longitudinal EL undulation is likely formed by the superposition of the circumferential EL waviness along the aortic axis. Hence, a series of numerical simulations were conducted based on a design of experiments approach by implementing residual stresses. We identified that the prestress initially administered to ELs in the circumferential and axial directions, and the predefined internodal gap, which couples the EL and SML, are essential mechanical parameters to computationally reconstruct the circumferential EL waviness and the longitudinal EL undulation at an unloaded state. In addition, a mechanical balance between the assigned prestresses along the circumferential and axial directions is crucial for successful representation of structural buckling of EL in the unloaded aortic media. Although further study is required, we have verified that our hypothesis is reasonable in the current work. Moreover, the information we obtained here will greatly help improve understanding the roles of EL and SML in the aortic medial wall at the in vitro and in vivo states, while simultaneously providing a basis for more sophisticated computational modeling of the aorta.

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Section: Discussionsupporting

confidence: 72%

Modeling elastic lamina buckling in the unloaded aortic media

Tamura

Kato

Matsumoto

2021

Mechanical Engineering Journal

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“…Since the pioneering work of Fillinger et al 42 , many studies have highlighted the potential of finite element based stress analyses for predicting rupture risk in aortic aneurysms [43][44][45][46][47] and dissections 48,49 . For the latter, recent studies suggest possible correlations between positions of peak wall stresses and locations of dissection initiation 50,51 , but most of these models assume uniformly distributed material properties. In contrast, our results demonstrate the existence of dramatic regional variations in material properties that can vary axially, circumferentially, and even radially, within these complex lesions.…”

Section: Discussionmentioning

confidence: 99%

Multimodality Imaging-Based Characterization of Regional Material Properties in a Murine Model of Aortic Dissection

Bersi

Santamaría

Marback

et al. 2020

Sci Rep

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chronic infusion of angiotensin-ii in atheroprone (ApoE −/−) mice provides a reproducible model of dissection in the suprarenal abdominal aorta, often with a false lumen and intramural thrombus that thickens the wall. Such lesions exhibit complex morphologies, with different regions characterized by localized changes in wall composition, microstructure, and properties. We sought to quantify the multiaxial mechanical properties of murine dissecting aneurysm samples by combining in vitro extension-distension data with full-field multimodality measurements of wall strain and thickness to inform an inverse material characterization using the virtual fields method. A key advance is the use of a digital volume correlation approach that allows for characterization of properties not only along and around the lesion, but also across its wall. Specifically, deformations are measured at the adventitial surface by tracking motions of a speckle pattern using a custom panoramic digital image correlation technique while deformations throughout the wall and thrombus are inferred from optical coherence tomography. These measurements are registered and combined in 3D to reconstruct the reference geometry and compute the 3D finite strain fields in response to pressurization. Results reveal dramatic regional variations in material stiffness and strain energy, which reflect local changes in constituent area fractions obtained from histology but emphasize the complexity of lesion morphology and damage within the dissected wall. This is the first point-wise biomechanical characterization of such complex, heterogeneous arterial segments. Because matrix remodeling is critical to the formation and growth of these lesions, we submit that quantification of regional material properties will increase the understanding of pathological mechanical mechanisms underlying aortic dissection.

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“…Some studies have characterized the axial and circumferential residual stress in aorta and carotid arteries by using measurable quantities, such as the opening angle, and the circumferential and axial curvatures (Delfino et al 1997;Holzapfel et al 2007;Sommer et al 2010;Sommer and Holzapfel 2012). Despite the intrinsic complexity of the system, several advanced computational models have been recently proposed for the study of pathological conditions involving the dysfunction of arterial wall components and potential therapies (Marino et al 2017;Ferruzzi et al 2018;Gültekin et al 2019;Niestrawska et al 2019;Heusinkveld et al 2018;Hemmler et al 2018). In most of the cases, the onset and progression of the vascular disease may depend on both systemic and local haemodynamic conditions.…”

Section: Introductionmentioning

confidence: 99%

A framework for incorporating 3D hyperelastic vascular wall models in 1D blood flow simulations

Coccarelli

Carson

Aggarwal

et al. 2021

Biomech Model Mechanobiol

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We present a novel framework for investigating the role of vascular structure on arterial haemodynamics in large vessels, with a special focus on the human common carotid artery (CCA). The analysis is carried out by adopting a three-dimensional (3D) derived, fibre-reinforced, hyperelastic structural model, which is coupled with an axisymmetric, reduced order model describing blood flow. The vessel transmural pressure and lumen area are related via a Holzapfel–Ogden type of law, and the residual stresses along the thickness and length of the vessel are also accounted for. After a structural characterization of the adopted hyperelastic model, we investigate the link underlying the vascular wall response and blood-flow dynamics by comparing the proposed framework results against a popular tube law. The comparison shows that the behaviour of the model can be captured by the simpler linear surrogate only if a representative value of compliance is applied. Sobol’s multi-variable sensitivity analysis is then carried out in order to identify the extent to which the structural parameters have an impact on the CCA haemodynamics. In this case, the local pulse wave velocity (PWV) is used as index for representing the arterial transmission capacity of blood pressure waveforms. The sensitivity analysis suggests that some geometrical factors, such as the stress-free inner radius and opening angle, play a major role on the system’s haemodynamics. Subsequently, we quantified the differences in haemodynamic variables obtained from different virtual CCAs, tube laws and flow conditions. Although each artery presents a distinct vascular response, the differences obtained across different flow regimes are not significant. As expected, the linear tube law is unable to accurately capture all the haemodynamic features characterizing the current model. The findings from the sensitivity analysis are further confirmed by investigating the axial stretching effect on the CCA fluid dynamics. This factor does not seem to alter the pressure and flow waveforms. On the contrary, it is shown that, for an axially stretched vessel, the vascular wall exhibits an attenuation in absolute distension and an increase in circumferential stress, corroborating the findings of previous studies. This analysis shows that the new model offers a good balance between computational complexity and physics captured, making it an ideal framework for studies aiming to investigate the profound link between vascular mechanobiology and blood flow.

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Computational modeling of progressive damage and rupture in fibrous biological tissues: application to aortic dissection

Abstract: This study analyzes the lethal clinical condition of aortic dissections from a numerical point of view. On the basis of previous contributions by Gültekin et al.

Cited by 47 publications

References 71 publications

Modeling elastic lamina buckling in the unloaded aortic media

Modeling elastic lamina buckling in the unloaded aortic media

Multimodality Imaging-Based Characterization of Regional Material Properties in a Murine Model of Aortic Dissection

A framework for incorporating 3D hyperelastic vascular wall models in 1D blood flow simulations

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