Key result
Nonlinear Kelvin-Voigt model accurately describes arterial viscoelasticity, showing constant relaxation time increases peripheral damping.
A non-linear Kelvin-Voigt model accurately describes arterial wall viscoelasticity in a sheep model, demonstrating increased damping of high-frequency pulse waves at peripheral sites.
Nonlinear Kelvin-Voigt model fits sheep arterial data; leaves open human validation and pulse-wave clinical translation.
This work deals with the viscoelasticity of the arterial wall and its on the pulse waves. We describe the viscoelasticity by a non-linear-Voigt model in which the coefficients are fitted using experimental time of pressure and radius measured on a sheep's arterial network. We a good agreement between the results of the nonlinear Kelvin-Voigt and the experimental measurements. We found that the viscoelastic time-defined by the ratio between the viscoelastic coefficient and Young's modulus-is nearly constant throughout the network. Therefore, as it well known that smaller arteries are stiffer, the viscoelastic coefficient when approaching the peripheral sites to compensate the rise of the's modulus, resulting in a higher damping effect. We incorporated the viscoelastic coefficients in a nonlinear 1D fluid model to compute the waves in the network. The damping effect of viscoelasticity on the high waves is clear especially at the peripheral sites.
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Ghigo et al. (2016) studied this question. Nonlinear Kelvin-Voigt model vs. Linear Kelvin-Voigt model / Elastic model was evaluated on Viscoelastic relaxation time and pressure-radius relationship. The nonlinear Kelvin-Voigt model accurately described arterial wall viscoelasticity, demonstrating that a constant viscoelastic relaxation time across the network increases damping at peripheral sites.
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