Stress and Strain Analyses of Blood Vessels in Physiological and Pathological Conditions
Boundary-value problems of blood vessels are formulated and solved with a finite element method. In the mathematical modeling, constitutive equations were formulated as a hyperelastic material for blood vessels and other tissues based on a finite deformation theory. For boundary-value problems of vasculature, three cases are chosen as physiologically or pathologically typical conditions. One is the case of an artery in which smooth muscles are activated. The pressure-diameter relationship, stress distribution and opening angle change are predicted in various active conditions. The second is the case of a coronary vessel in the myocardium. The effects of the deformation of surrounding tissues and the location of the blood vessel are examined through analysis. The third case is the pathological case of an abdominal aortic aneurysm. In this case, the geometrical effect on the risk of rupture of the aneurysm is estimated through stress analysis by assuming various initial geometries.
KeywordsAbdominal Aortic Aneurysm Hydraulic Resistance Smooth Muscle Contraction Passive State Transmural Pressure
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