Strain distribution in small blood vessels with zero-stress state taken into consideration.
The active and passive deformation of a blood vessel is related to the stress in it. Any analysis of stress and strain must begin with the zero-stress state. Recent reports on large blood vessels such as the aorta, pulmonary arteries, and vena cava have shown that, at zero-stress state, blood vessels are not tubes, but opens sectors. This report presents data on the zero-stress state of small blood vessels with lumen diameters down to approximately 50 microns. Zero-stress state of a vessel was obtained by cutting the vessel into rings and then the rings into sectors; each sector is characterized by an opening angle, alpha. In rat ileal and plantar arterioles, the opening angles are in the order of 100-250 degrees; those in the venules are in the order of 50-100 degrees. The effect of norepinephrine on the opening angle alpha is minor; it decreases alpha of the superior mesenteric artery, and increases alpha of the ileocecocolic and ileal arteries. EDTA has little effect on alpha of arteries greater than 100 microns in diameter, but decreases alpha of arteries less than 100 microns. The physiological meaning of the opening angle is demonstrated in terms of the residual strains in a vessel at the no-load state and homeostatic strains at normal blood pressure. The strains in real vessels are compared with those in hypothetical vessels having an opening angle of zero. It is shown that ignoring the opening angle will cause a large error in strain evaluation.(ABSTRACT TRUNCATED AT 250 WORDS)
Fung
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YC
Department of Applied Mechanics and Engineering Sciences-Bioengineering, University of California, San Diego, La Jolla 92093-0412.
Liu
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D000818:Animals; D001158:Arteries / Q000187:drug effects; D001808:Blood Vessels / Q000187:drug effects / Q000502:physiology*; D004492:Edetic Acid / Q000494:pharmacology; D005528:Foot / Q000098:blood supply; D007082:Ileum / Q000098:blood supply; D008297:Male; D008638:Mesenteric Arteries / Q000187:drug effects; D008955:Models, Cardiovascular; D009638:Norepinephrine / Q000494:pharmacology; D011433:Propranolol / Q000494:pharmacology; D011651:Pulmonary Artery / Q000502:physiology; D051381:Rats; D011919:Rats, Inbred Strains; D013314:Stress, Mechanical
D004492:Edetic Acid; D011433:Propranolol; D009638:Norepinephrine