Arterial viscoelasticity: a generalized model. Effect on input impedance and wave travel in the systematic tree.

Abstract In the first part of this paper most of the reported results concerning measurements of the viscoelastic properties of the systemic arterial wall are discussed. The various mechanical models of the vessel wall that have been proposed and which usually account for a special aspect of viscoelastic properties are reviewed critically. From these discussions a new mathematical model for the wall properties emerges. It accounts in quantitative terms for the frequency dependence of the Young modulus, stress-relaxation, creep, and hysteresis. Hence this new description, which is in terms of the complex Young modulus, covers all the known aspects of the viscoelastic wall properties. In the second part of this paper the complex Young modulus is incorporated in a model of the systematic arterial tree for the purpose of studying the effect of the viscous properties of the wall. Wave travel and input impedances are given for the case of a purely elastic wall and for the case of a realistic viscoelastic wall; the differences are compared. Addition of the viscous wall properties proves to have a significant effect on input impedance and wave travel.

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