Modeling of the Deformation of Flexible Tubes Using a Single Law: Application to Veins of the Lower Limb in Man

[+] Author and Article Information
S. Bassez

Centre de Recherche INNOTHERA, 10 av. Paul Vaillant Couturier, 94111 Arcueil, France

P. Flaud

LBHP URA 343 CNRS Case 7056, Université Paris VII, 2 Place Jussieu, 75005 Paris, France

M. Chauveau

Service d’exploration fonctionnelle, Ho⁁pital Cochin 27, Rue du faubourg Saint-Jacques, 75014 Paris, France

J Biomech Eng 123(1), 58-65 (Oct 16, 2000) (8 pages) doi:10.1115/1.1336143 History: Received April 16, 1998; Revised October 16, 2000
Copyright © 2001 by ASME
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Comparison of pressure–area relation of a latex tube with the one of an excised segment of a canine vena cava 5
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Experimental set-up used for determining the tube law
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Details and dimensions of the in vitro model of surrounded vein
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Experimental setup used for in vivo measurements of venous cross sectional area versus the posture
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Pressure/area relationship of silastic tubes with different diameters: ‘+’ 20 mm, ‘O’ 5 mm
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(a) Pressure/area relationships of tube No. 2 for various initial pre-stresses conditions; (b) normalized pressure/area relationship taking into account the longitudinal extension
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Pressure/area relationship of tube No. 1 versus the gel elasticity E
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Pressure/area relationship of tube No. 1 versus the gel surface/tube axis thickness e
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(a) In vivo pressure/average area relationship for the saphenous, popliteal, and deep calf veins in man with ultrasonic images of popliteal and deep calf veins cross section at 30, 0, and −30 cmH2O; (b) cross-sectional area of the popliteal vein, in six subjects (▵ ▴ ○ • ⋄ ♦), versus the estimated Pi−e pressure and some results of data fit with the model (–); (c) cross-sectional area of the deep calf veins, in seven (▴ □ ♦ + −  *  •) subjects, versus the estimated Pi−e pressure and some results of data fit with the model (–).
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Comparison between experimental tube law of tube No. 1 without (+) or with (▵ ○  * ) surrounding gel (symbols), and the model (solid lines)



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