Uniaxial properties of ascending aortic aneurysms in light of effective stretch

He, Xuehuan; Auricchio, Ferdinando; Morganti, Simone; Lu, Jia

doi:10.1016/j.actbio.2021.09.029

Cited by 10 publications

(9 citation statements)

References 46 publications

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“…It further indicates that μ 1 can be independently determined based on the initial stiffness of the tissue. The same property was observed in a uni‐axial QSEF model 39 …”

Section: Constitutive Modelingsupporting

confidence: 76%

“…In a recent study, the present authors proposed a new framework for considering collagen fiber recruitment 38,39 . This is a kinematic average approach in which the effect of the recruitment is considered at the kinematic level.…”

Section: Introductionmentioning

confidence: 99%

“…For example, 29,23,26,30 which used a recruitment stretch (or strain) to parameterize the fiber waviness with an additive decomposition of the fiber stretch (or strain). The construction in Reference 38 resulted in a simple closed‐form expression for the effective stretch and concise, algebraic form of SEFs 39 . In contrast, in most structural models the SEFs were left in integral form.…”

Section: Introductionmentioning

confidence: 99%

“…Saez et al 41 and Zhang et al 35 also employed the multiplicative decomposition and Rezakhaniha's waviness description, however, the SEFs were in integral form due to other constructions adopted in their formulations. In Reference 39, a simple quadratic SEF of effective strain was employed to investigate the uniaxial properties of human ascending aortic aneurysms. These studies suggested that the gradual stiffening of the response may be adequately captured by the recruitment mechanism built in the effective stretch, without resorting to other phenomenological descriptions.…”

Section: Introductionmentioning

confidence: 99%

“…The goal of the present study is to further the development in References 38,39 to establish a 2D constitutive model for planar deformation of vascular tissues. We propose a quadratic model in which the fiber energy is formulated using quadratic functions of effective strains.…”

Section: Introductionmentioning

confidence: 99%

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Modeling planar response of vascular tissues using quadratic functions of effective strain

2022

Numer Methods Biomed Eng

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Simulation-based studies of the cardiovascular structure such as aorta have become increasingly popular for many biomedical problems such as predictions of aneurysm rupture. A critical step in these simulations is the development of constitutive models that accurately describe the tissue's mechanical behavior. In this work, we present a new constitutive model, which explicitly accounts for the gradual recruitment of collagen fibers. The recruitment is considered using an effective stretch, which is a continuum-scale kinematic variable measuring the uncrimped stretch of the tissue in an average sense. The strain energy of a fiber bundle is described by a quadratic function of the effective strain. Constitutive models formulated in this manner are applied to describe the responses of ascending thoracic aortic aneurysm and porcine thoracic aorta tissues. The heterogeneous properties of the ATAA tissue are extracted from bulge inflation test data, and then used in finite element analysis to simulate the inflation test. The descriptive and predictive capabilities are further assessed using planar testing data of porcine thoracic aortic tissues. It is found that the constitutive model can accurately describe the stress-strain relations. In particular, the finite element simulation replicates the displacement, strain, and stress distributions with excellent fidelity.

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“…It further indicates that μ 1 can be independently determined based on the initial stiffness of the tissue. The same property was observed in a uni‐axial QSEF model 39 …”

Section: Constitutive Modelingsupporting

confidence: 76%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Modeling planar response of vascular tissues using quadratic functions of effective strain

2022

Numer Methods Biomed Eng

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Regional Stiffness and Hardening Indices: New Indicators Derived from Multidimensional Dynamic CTA for Aneurysm Risk Assessment

Huang,

Qi,

Cao

et al. 2024

Advanced Science

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Two indices, indicating the regional average stiffness and the pace of strain hardening respectively, are derived from the nonlinear stress–strain behavior obtained from biomechanical analysis of aneurysm. A comprehensive method based on electrocardiographic‐gated multidimensional dynamic computed tomography angiography (MD CTA) is developed for extracting these mechanical characteristics in vivo. The proposed indices are evaluated by 26 cases including 9 healthy, one aortosclerosis, and 16 abdominal aortic aneurysm cases. The difference of SSI and dSSI value between aneurysmal and healthy groups is up to orders in magnitude. Significant correlation of these indices with the clinical indicator of aneurysm diameter is found. Logistic models based on these indices are capable to sharply discriminate the healthy and the aneurysmal arteries with AUC>0.98. This work introduces new tools and new indices for aortic mechanical assessment which may shed light on understanding the mechanical condition, pathological state and eventually benefit clinical decision‐making.

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On strain-based rupture criterion for ascending aortic aneurysm: The role of fiber waviness

2022

Acta Biomaterialia

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Uniaxial properties of ascending aortic aneurysms in light of effective stretch

Cited by 10 publications

References 46 publications

Modeling planar response of vascular tissues using quadratic functions of effective strain

Modeling planar response of vascular tissues using quadratic functions of effective strain

Regional Stiffness and Hardening Indices: New Indicators Derived from Multidimensional Dynamic CTA for Aneurysm Risk Assessment

On strain-based rupture criterion for ascending aortic aneurysm: The role of fiber waviness

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