Constitutive Equations of Arterial and Ventricular Wall Tissues Based on Pressure-Volume Relations
The present method of derivation of the constitutive equation is based on pressure-volume (p-V) relation of the blood vessel or the heart, differing from the works reported so far with the use of the mechanical behavior of the dissected small specimens.
The existance of the (pseudo) strain energy density function is assumed for the deformation of arterial tissues and also for the deformation of left ventricular wall tissues in the passive state and during isovolumic contractions.
A simple mathematical model is used in which the effect of physical and geometrical nonlinearities are taken into account. The strain energy density function is determined analytically from the p-V relation obtained experimentally. The biaxial stress- strain relation is also derived in a simple manner and it is used as the constitutive equation of the arterial or the left ventricular wall tissues.
KeywordsLeft Ventricle Constitutive Equation Left Ventricular Wall Geometrical Nonlinearity Muscular Tissue
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