Evaluation of Arterial Wall Elasticity During Ultrasound Diagnostics
Keywords:arterial pressure, pulse pressure, ultrasound research, shear modulus, vascular wall
A strained biological tissue, namely, arterial walls under the propagation of a pulse wave, has been studied. The artery is considered as a channel in an elastic medium, and blood as an ideal liquid. The problem is reduced to a system of equations including both the equations for elastic equilibrium, which describe the behavior of the arterial environment, and the hydrodynamic Euler equations, which describe the blood flow in the artery. The obtained solution of the system relates the shear modulus of the elastic medium with those parameters of a pulse wave that can be determined, by using the conventional ultrasound method, namely, the velocity of a blood flow and the deformation of an aortic wall. As an example, the shear modulus of the carotid artery wall is found.
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