Maximal Wall Shear Stress in Arterial Stenoses: Application to the Internal Carotid Arteries

[+] Author and Article Information
Sylvie Lorthois

Institut de Mécanique des Fluides de Toulouse, UMR CNRS 5502, 31400 Toulouse Cedex, France

Pierre-Yves Lagrée

Laboratoire de Modélisation en Mécanique, UMR CNRS 7607, 75252 Paris Cedex 5, France

Jean-Pierre Marc-Vergnes, Francis Cassot

I.N.S.E.R.M. U 455, C.H.U. Purpan, 31059 Toulouse Cedex, France

J Biomech Eng 122(6), 661-666 (Aug 10, 2000) (6 pages) doi:10.1115/1.1318907 History: Received July 02, 1999; Revised August 10, 2000
Copyright © 2000 by ASME
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Grahic Jump Location
Geometry and nondimensional parameters of stenosis
Grahic Jump Location
Diagram of the circle of Willis and its afferent and efferent arteries. (VA: vertebral, BA: basilar, ICaA, internal carotid, ACeA: anterior cerebral, MCeA: middle cerebral, PCeA: posterior cerebral, ACoA: anterior communicating, PCoA: posterior communicating arteries.)
Grahic Jump Location
Nondimensional displacement thickness in Mangler coordinates Δ1 (upper) and wall shear stress (lower) versus axial position in the convergence characterized by D=0.7 and L=6, for Re0=1000 and different values of Δ10(√2)/Re0 (corresponding to an initial displacement thickness δ10* between 0.01R0* and 0.33R0*)
Grahic Jump Location
Parameters a(L)0.5 and b as a function of radius reduction. Full circles: results derived from Siegel et al. 13; cross: mean of the results of regression analysis obtained for L between 3 and 12 at fixed D; line: interpolation of results averaged upon L.
Grahic Jump Location
Dimensional maximal wall shear stress (MWSS* ) and rate (MWSR* ) as a function of stenosis degree, for five arrangements of anterior and posterior communicating arteries diameters; ×: AcoA=0.4 mm/PCoA=0.4 mm; □: ACoA=0.4 mm/PCoA=1.6 mm; ○: ACoA=1.6 mm/PCoA=0.4 mm; ▵: ACoA=1.6 mm/PCoA=1 mm; +: ACoA=1.6 mm/PCoA=1.6 mm.
Grahic Jump Location
Dimensional maximal wall shear stress (MWSS* ) and rate (MWSR* ) in a 57.8 percent stenosis as a function of contralateral stenosis degree, for five arrangements of anterior and posterior communicating arteries diameters; same symbols as Fig. 5



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