Estimation of the viscoelastic properties of vessel walls using a computational model and Doppler ultrasound

Balocco, Simone; Basset, Olivier; Courbebaisse, Guy; Boni, Enrico; Frangi, Alejandro F.; Tortoli, Piero; Cachard, Christian

doi:10.1088/0031-9155/55/12/019

Cited by 33 publications

(24 citation statements)

References 46 publications

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“…For characterization of viscoelastic materials many other rheological models exist, including the Maxwell, KelvinVoigt, generalized Maxwell (GM) model, the Zener model (also known as the standard linear solid), and the KelvinVoigt fractional derivative (KVFD) model, but those previously mentioned are commonly used, particularly in characterizing soft tissues. [9][10][11][12][13][14][15] These rheological models have been used to characterize different soft tissues with varying degrees of sensitivity. The Kelvin-Voigt model has been used extensively in the viscoelastic characterization of tissue because of its simplicity and intuitive separation of elastic and viscous effects.…”

Section: Introductionmentioning

confidence: 99%

“…14 Balocco et al used the Zener model as a basis for the mechanical response of arteries. 15 Last, the Kelvin-Voigt fractional derivative model was used to characterize various gelatin phantoms and ex vivo veal livers and ex vivo human prostates. 13 These results demonstrate that the viscoelastic behavior of tissue can be fit using different rheological models for characterization.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Generalized response of a sphere embedded in a viscoelastic medium excited by an ultrasonic radiation force

Urban

Nenadic

Mitchell

et al. 2011

The Journal of the Acoustical Society of America

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The response of an embedded sphere in a viscoelastic medium excited by acoustic radiation force has been studied in both the time-and frequency-domains. This model is important because it can be used to characterize the viscoelastic properties of the medium by fitting the response to the theoretical model. The Kelvin-Voigt model has been used exclusively in these models. An extension to the previously reported models is described so that any viscoelastic rheological model can be used. This theoretical development describes the generalized embedded sphere response both in the time and frequency domains. Comparing the results from derivations in both domains showed very good agreement with a median absolute error (MAE) ranging from 0.0044 to 0.0072. Good agreement is demonstrated with finite element model simulations and the theory with a MAE of 0.006. Lastly, results for characterization of gelatin and rubber materials with the new theory are shown where the MAE values were used to determine which rheological model best describes the measured responses.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Generalized response of a sphere embedded in a viscoelastic medium excited by an ultrasonic radiation force

Urban

Nenadic

Mitchell

et al. 2011

The Journal of the Acoustical Society of America

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“…23 The property of viscoelasticity is an important biophysical characteristics in a successful vascular graft, necessary for adaptation to the blood flow of the arterial circulation. 24 In its simplest definition, a viscoelastic tissue has a recoverable (elastic) and a non-recoverable (viscous) component. In the case of a purely elastic vessel, application of a load (e.g., KCl) would continuously deform the wall in linear fashion.…”

Section: Discussionmentioning

confidence: 99%

Traditional graft preparation decreases physiologic responses, diminishes viscoelasticity, and reduces cellular viability of the conduit: A porcine saphenous vein model

et al. 2016

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Traditional methods of intraoperative human saphenous vein (SV) preparation for use as bypass grafts can be deleterious to the conduit. The purpose of this study was to characterize acute graft preparation injury, and to mitigate this harm via an improved preparation technique. Porcine saphenous veins were surgically harvested (unprepared controls, UnP) and prepared using the traditional (TraP) and improved preparations (ImP). The TraP used unregulated radial distension, marking with a surgical skin marker and preservation in heparinized normal saline. ImP used pressure-regulated distension, brilliant blue FCF-based pen marking and preservation in heparinized Plasma-Lyte A. Rings from each preparation were suspended on a muscle bath for characterization of physiologic responses to vasoactive agents and viscoelasticity. Cellular viability was assessed using the methyl thiazolyl tetrazolium (MTT) assay and the terminal deoxynucleotidyl transferase dUTP nick-end labelling (TUNEL) assay for apoptosis. Contractile responses to potassium chloride (110 mM) and phenylephrine (10 μM), and endothelial -dependent and -independent vasodilatory responses to carbachol (0.5 μM) and sodium nitroprusside (1 μM), respectively, were decreased in TraP tissues compared to both UnP and ImP tissues (P ≤ .05). TraP tissues demonstrated diminished viscoelasticity relative to UnP and ImP tissues (P ≤ .05), and reduced cellular viability relative to UnP control (P ≤ .01) by the MTT assay. On TUNEL assay, TraP tissues demonstrated a greater degree of apoptosis relative to UnP and ImP tissues (P ≤ .01). In conclusion, an improved preparation technique prevents vascular graft smooth muscle and endothelial injury observed in tissues prepared using a traditional approach.

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“…ultra-sound Doppler measurements of the simultaneous flow variations and wall displacements, so that viscoelastic parameters are estimated by fitting the theoretical constitutive equations to the experimental measurements (see e.g. [4,5,48]). Here we consider a simplified version of this problem: assuming the stenosis geometry described above, if the observation s * := J 4 (µ * ) (the mean pressure drop) is measured is it possible to determine the Young modulus E and the shear modulus G?…”

Section: Inverse Problem Of Determining Elastic Moduli Based On the Mmentioning

confidence: 99%

A reduced computational and geometrical framework for inverse problems in hemodynamics

Lassila

Manzoni

Quarteroni³

et al. 2013

Numer Methods Biomed Eng

104

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SUMMARYThe solution of inverse problems in cardiovascular mathematics is computationally expensive. In this paper we apply a domain parametrization technique to reduce both the geometrical and computational complexity of the forward problem, and replace the finite element solution of the incompressible NavierStokes equations by a computationally less expensive reduced basis approximation. This greatly reduces the cost of simulating the forward problem. We then consider the solution of inverse problems in both the deterministic sense, by solving a least-squares problem, and in the statistical sense, by using a Bayesian framework for quantifying uncertainty. Two inverse problems arising in haemodynamics modelling are considered: (i) a simplified fluid-structure interaction model problem in a portion of a stenosed artery for quantifying the risk of atherosclerosis by identifying the material parameters of the arterial wall based on pressure measurements; (ii) a simplified femoral bypass graft model for robust shape design under uncertain residual flow in the main arterial branch identified from pressure measurements.

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Estimation of the viscoelastic properties of vessel walls using a computational model and Doppler ultrasound

Cited by 33 publications

References 46 publications

Generalized response of a sphere embedded in a viscoelastic medium excited by an ultrasonic radiation force

Generalized response of a sphere embedded in a viscoelastic medium excited by an ultrasonic radiation force

Traditional graft preparation decreases physiologic responses, diminishes viscoelasticity, and reduces cellular viability of the conduit: A porcine saphenous vein model

A reduced computational and geometrical framework for inverse problems in hemodynamics

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