Quasi-linear viscoelastic modeling of arterial wall for surgical simulation

Yang, Tao; Chui, Chee-Kong; Yu, Rui; Qin, Jing; Chang, Suying

doi:10.1007/s11548-011-0560-x

Cited by 26 publications

(25 citation statements)

References 36 publications

(47 reference statements)

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“…Using the load envelopes as an estimate implies that the carotid artery will reach a stress of 0.2 MPa at a stretch of between 1.2 and 1.4 in the circumferential direction and 1.6 and 1.8 for the longitudinal direction, which correlates well with other studies (Garcia et al, 2011). The carotid and aorta were stiffer in the circumferential direction than the longitudinal which has been seen previously for both the carotid artery (Garcia et al, 2011) and the aorta (Yang et al, 2011). Only compression testing of coronary and femoral arteries was undertaken due to their small diameter which made circumferential tensile tests impractical.…”

Section: Discussionsupporting

confidence: 87%

“…It has been reported that arterial tissue displays anisotropic characteristics (Garcia et al, 2011;Holzapfel et al, 2005;Holzapfel et al, 2004) which has been attributed to the orientation of the collagen fibres (Holzapfel, 2006) and to the anisotropy of the elastin network (Zou and Zhang, 2009). Viscoelastic behaviour such as stress relaxation (Silver et al, 2003;Yang et al, 2011) and strain rate dependency of the stress-strain response (Yang et al, 2011) has also been observed. While there are studies in the literature that compare the elastic (Patel and , 1970;Salvucci et al, 2009;Silver et al, 2003) or viscoelastic (Salvucci et al, 2009;Silver et al, 2003) behaviour of different vessels, to the authors' knowledge little data exists characterising or comparing stress softening and the inelastic deformations that occur on unloading due to damage induced within the tissue and how this behaviour will vary throughout the arterial tree.…”

Section: Introductionmentioning

confidence: 97%

See 1 more Smart Citation

Site specific inelasticity of arterial tissue

Maher

Early

Creane

et al. 2012

Journal of Biomechanics

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1Understanding the mechanical behaviour of arterial tissue is vital to the development and 2 analysis of medical devices targeting diseased vessels. During angioplasty and stenting, stress 3 softening and permanent deformation of the vessel wall occur during implantation of the 4 device, however little data exists on the inelastic behaviour of cardiovascular tissue and how 5 this varies through the arterial tree. The aim of this study was to characterise the magnitude 6 of stress softening and inelastic deformations due to loading throughout the arterial tree and 7 to investigate the anisotropic inelastic behaviour of the tissue. Cyclic compression tests were 8 used to investigate the differences in inelastic behaviour for carotid, aorta, femoral and 9 coronary arteries harvested from 3-4 month old female pigs, while the anisotropic behaviour 10 of aortic and carotid tissue was determined using cyclic tensile tests in the longitudinal and 11 circumferential directions. The differences in inelastic behaviour were correlated to the ratio 12 of collagen to elastin content of the arteries. It was found that larger inelastic deformations 13 occurred in muscular arteries (coronary), which had a higher collagen to elastin ratio than 14 elastic arteries (aorta), where the smallest inelastic deformations were observed. Lower 15 magnitude inelastic deformations were observed in the circumferential tensile direction than 16 in the longitudinal tensile direction or due to radial compression. This may be as a result of 17 non-fibrous matrix or smooth muscle in the artery becoming more easily damaged than the 18 collagen fibers during loading. Stress softening was also found to be dependent on artery

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Section: Discussionsupporting

confidence: 87%

Section: Introductionmentioning

confidence: 97%

Site specific inelasticity of arterial tissue

Maher

Early

Creane

et al. 2012

Journal of Biomechanics

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“…In addition to studies on vascular smooth muscle cells, studies on the properties of the aorta and diseases such as aortic aneurysm and aortic dissection have been conducted in the past few decades [11][12][13][14][15][16][17][18][19]. In particular, Yang et al [15] conducted biomechanical experiments on the porcine abdominal artery by uniaxial elongation and relaxation tests in both the circumferential and longitudinal directions and applied a combined logarithm and polynomial strain energy equation to model the elastic response of the specimens. The reduced relaxation function was modified by integrating a rational equation as a corrective factor to simulate the strain-dependent relaxation effects accurately.…”

Section: Constitutive Modelmentioning

confidence: 99%

Determination of the Material Parameters in the Holzapfel-Gasser-Ogden Constitutive Model for Simulation of Age-Dependent Material Nonlinear Behavior for Aortic Wall Tissue under Uniaxial Tension

et al. 2019

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In this study, computational simulations and experiments were performed to investigate the mechanical behavior of the aorta wall because of the increasing occurrences of aorta-related diseases. The study focused on the deformation and strength of porcine and healthy human abdominal aortic tissues under uniaxial tensile loading. The experiments for the mechanical behavior of the arterial tissue were conducted using a uniaxial tensile test apparatus to validate the simulation results. In addition, the strength and stretching of the tissues in the abdominal aorta of a healthy human as a function of age were investigated based on the uniaxial tensile tests. Moreover, computational simulations using the ABAQUS finite element analysis program were conducted on the experimental scenarios based on age, and the Holzapfel-Gasser-Ogden (HGO) model was applied during the simulation. The material parameters and formulae to be used in the HGO model were proposed to identify the failure stress and stretch correlation with age.abdominal aorta specimens were investigated and analyzed based on age, and the material constants associated with the elastic modulus, stress, and strain in the numerical model were estimated from the numerical simulations according to age. From these results, the correlation between age and material constants was examined, and the formulae for estimating material constants based on age were proposed.

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“…28 While obtaining large amounts of data on the stress-strain behavior of such biomaterials is straightforward, analyzing it in a uniform, comparable, and user-independent manner is more challenging. 29 Despite significant advancements in highly correlative mechanistic models [30][31][32][33][34][35][36][37][38] for stress-strain analysis, most of the reported literature still relies on stiffness, as measured by the Young's modulus, as the primary mechanical measure for biological tissues. However, as tissues are subjected to many nonelastic deformation modes and their responses may differ significantly from ideal spring behavior, measuring only this characteristic can be misleading, at best.…”

mentioning

confidence: 99%

A Mathematical Model for Analyzing the Elasticity, Viscosity, and Failure of Soft Tissue: Comparison of Native and Decellularized Porcine Cardiac Extracellular Matrix for Tissue Engineering

Bronshtein

Au-Yeung

Sarig

et al. 2013

Tissue Engineering Part C: Methods

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The clinical success of tissue-engineered constructs commonly requires mechanical properties that closely mimic those of the human tissue. Determining the viscoelastic properties of such biomaterials and the factors governing their failure profiles, however, has proven challenging, although collecting extensive data regarding their tensile behavior is straightforward. The easily calculated Young's modulus remains the most reported mechanical measure, regardless of its limitations, even though single-relaxation-time (SRT) models can provide much more information, which remain scarce due to a lack of manageable tools for implementing these models. We developed an easy-to-use algorithm for applying the Zener SRT model and determining the elastic moduli, viscosity, and failure profiles of materials under different mechanical tests in a user-independent manner. The algorithm was validated on the data resulting from tensile tests on native and decellularized porcine cardiac tissue, previously suggested as a promising scaffold material for cardiac tissue engineering. This analysis yields new and more accurate measurements such as the elastic moduli and viscosity, the model's relaxation time, and information on the factors governing the materials' failure profiles. These measurements indicate that the viscoelasticity and strength of the decellularized acellular extracellular matrix (ECM) are similar to those of native tissue, although its elasticity and apparent viscosity are higher. Nonetheless, reseeding and culturing the ECM with mesenchymal stem cells was shown to partially restore the mechanical properties lost after decellularization. We propose this algorithm as a platform for soft-tissue analysis that can provide comparable and unbiased measures for characterizing viscoelastic biomaterials commonly used in tissue engineering.

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Quasi-linear viscoelastic modeling of arterial wall for surgical simulation

Abstract: The proposed model, based on extensive biomechanical experiments, can be used for accurate simulation of arterial deformation and haptic rendering in surgical simulation. The resultant model enables stress relaxation status to be determined when subjected to different strain levels.

Cited by 26 publications

References 36 publications

Site specific inelasticity of arterial tissue

Site specific inelasticity of arterial tissue

Determination of the Material Parameters in the Holzapfel-Gasser-Ogden Constitutive Model for Simulation of Age-Dependent Material Nonlinear Behavior for Aortic Wall Tissue under Uniaxial Tension

A Mathematical Model for Analyzing the Elasticity, Viscosity, and Failure of Soft Tissue: Comparison of Native and Decellularized Porcine Cardiac Extracellular Matrix for Tissue Engineering

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