Analysis of Viscoelastic Wall Properties in Ovine Arteries

Valdez‐Jasso, Daniela; Haider, Mansoor A.; Banks, H. T.; Santana, Daniel Bia; Germán, Yanina Zócalo; Armentano, Ricardo; Olufsen, Mette S.

doi:10.1109/tbme.2008.2003093

Cited by 69 publications

(72 citation statements)

References 32 publications

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“…This is, therefore, a limitation of our study, and a full verification of our results using in vivo data remains to be done in future work. Future work could also carry out a similar analysis using more complex visco-elastic models of the arterial wall that account for stress relaxation [10,23,24] and the nonlinear behaviour of the arterial wall [25,26].…”

Section: Discussionmentioning

confidence: 99%

“…(24) is satisfied. Equation (24) shows that the cardiac output, outflow pressure and net resistance dictate the time-averaged pressure required to perfuse the microcirculation.…”

Section: Time-averaged Solutionmentioning

confidence: 99%

“…If blood is assumed to be inviscid, then all the arterial segments have the same time-averaged pressureP = 13.2 kPa, which depends on the cardiac output q IN , outflow pressure P out , and net peripheral resistance R T , in agreement with Eq. (24).…”

Section: Linear Analysismentioning

confidence: 99%

“…There are, however, more complex models that also account for stress relaxation [10,23,24] and the nonlinear behaviour of the wall [25,26]. Here we use a Voigt-type visco-elastic model since it is the simplest model to reproduce, to first approximation, the main features of visco-elastic effects on blood flow in large arteries [9,16,[20][21][22].…”

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confidence: 99%

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Physical determining factors of the arterial pulse waveform: theoretical analysis and calculation using the 1-D formulation

et al. 2012

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The shape of the arterial pulse waveform is intimately related to the physical properties of the cardiovascular system. It is clinically relevant to measure those properties that are related to cardiovascular function, such as the local elasticity and viscosity of the arterial wall, total compliance and net peripheral resistance of the systemic arterial tree. Most of these properties cannot be directly measured in vivo, but they can be calculated from pressure, flow and wall displacement measurements that can be obtained in vivo. We carry out a linear analysis of the one-dimensional (1-D) equations of blood flow in Voigt-type visco-elastic vessels to study the effects on pulse wave propagation of blood viscosity, flow inertia, wall visco-elasticity, total arterial compliance, net resistance, peripheral outflow pressure, and flow rate at the aortic root. Based on our analysis, we derive methods to calculate the local elastic and viscous moduli of the arterial wall, and the total arterial compliance, net resistance, time constant and peripheral outflow pressure of the systemic arterial tree from pressure, flow and wall displacement data that can be measured in vivo. Analysis of in vivo data is beyond the scope of this study, and therefore, we verify the results of our linear analysis and assess the accuracy of our estimation methods using pulse waveforms simulated in a nonlinear visco-elastic 1-D model of the larger conduit arteries of the upper body, which includes the circle of Willis in the cerebral circulation.

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Section: Discussionmentioning

confidence: 99%

“…(24) is satisfied. Equation (24) shows that the cardiac output, outflow pressure and net resistance dictate the time-averaged pressure required to perfuse the microcirculation.…”

Section: Time-averaged Solutionmentioning

confidence: 99%

Section: Linear Analysismentioning

confidence: 99%

mentioning

confidence: 99%

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Physical determining factors of the arterial pulse waveform: theoretical analysis and calculation using the 1-D formulation

et al. 2012

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“…Rubbers, polymers, bones, bitumen and many other materials, have a viscoelastic mechanical behavior [14]- [18]. The elastic behavior is typical of simple solid materials in which the strain history γ(t) is linked by the stress history σ(t) through a proportional relation as shown in Eq.…”

Section: Mechanical Models Of Fhmmentioning

confidence: 99%

Viscoelasticity: An electrical point of view

Ala

Paola

Francomano

et al. 2014

ICFDA'14 International Conference on Fractional Differentiation and Its Applications 2014

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Abstract-Time dependent hereditary properties of complex materials are well described by power-laws with real order exponent. This experimental observation and analogous electrical experiments, yield a description of these properties by using fractional-order operators. In this paper, elasto-viscous and viscoelastic behaviors of fractional order hereditary materials are firstly described by using fractional mathematical operators, based on recent work of some of the authors. Then, electrical analogous models are introduced. Viscoelastic models have elastic and viscous components which can be obtained by combining springs and dashpots: these models can be equivalently viewed as electrical circuits, where the spring and dashpot are analogous to the capacitance and resistance, respectively. The proposed models are validated by using modal analysis. The use of electrical analogous in viscoelasticity can better reveal the real behavior of fractional hereditary materials.

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A viscoelastic fluid–structure interaction model for carotid arteries under pulsatile flow

Wang

Wood

2015

Numer Methods Biomed Eng

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In this study, a fluid-structure interaction model (FSI) incorporating viscoelastic wall behaviour is developed and applied to an idealized model of the carotid artery under pulsatile flow. The shear and bulk moduli of the arterial wall are described by Prony series, where the parameters can be derived from in vivo measurements. The aim is to develop a fully coupled FSI model that can be applied to realistic arterial geometries with normal or pathological viscoelastic wall behaviour. Comparisons between the numerical and analytical solutions for wall displacements demonstrate that the coupled model is capable of predicting the viscoelastic behaviour of carotid arteries. Comparisons are also made between the solid only and FSI viscoelastic models, and the results suggest that the difference in radial displacement between the two models is negligible.

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Analysis of Viscoelastic Wall Properties in Ovine Arteries

Cited by 69 publications

References 32 publications

Physical determining factors of the arterial pulse waveform: theoretical analysis and calculation using the 1-D formulation

Physical determining factors of the arterial pulse waveform: theoretical analysis and calculation using the 1-D formulation

Viscoelasticity: An electrical point of view

A viscoelastic fluid–structure interaction model for carotid arteries under pulsatile flow

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