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The aim of the present study is to propose a mathematical- clinical model for the estimate of axial stresses acting on the carotid artery In order to determine the stresses, a quantitative knowledge of the mechanical properties of cardiovascular tissues, i.e. delineation of constitutive models, is indispensable. In this study, a Fourier series based mathematical model for the displacement of the carotid artery wall in the longitudinal direction was defined, providing a satisfactory representation of the axial stresses applied to the arterial wall. The proposed technique was applied on the consecutive ultrasonic images of the common carotid artery of a healthy man. The waveforms and the equations of the kinematic parameters of the longitudinal motion of the arterial wall and the axial stresses applied to it were obtained during three cardiac cycles. The high correlation between the clinical and model data (0.986) reveals the potential of this technique to provide a new method to assess arterial stresses from clinical data, and overcoming the limitations of the finite element and other simulation techniques.

Keywords: Axial stress, Longitudinal displacement, Carotid artery, Constitutive model, Processing, Ultrasound images

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