Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Influence of pulsatile blood flow on allometry of aortic wall shear stress

Abstract : Shear stress plays an important role in the creation and evolution of atherosclerosis. A key element for in-vivo measurements and extrapolations is the dependence of shear stress on body mass. In the case of a Poiseuille modeling of the blood flow, P. Weinberg and C. Ethier [2] have shown that shear stress on the aortic endothelium varied like body mass to the power − 3 8 , and was therefore 20-fold higher in mice than in men. However, by considering a more physiological oscillating Poiseuille-Womersley combinated flow in the aorta, we show that results differ notably: at larger masses (M > 10 kg) shear stress varies as body mass to the power − 1 8 and modifies the man to mouse ratio to 1:8. The allometry and value of temporal gradient of shear stress also change: ∂τ /∂t varies as M −3/8 instead of M −5/8 at larger masses, and the 1:150 ratio from man to mouse becomes 1:61. Lastly, we show that the unsteady component of blood flow does not influence the constant allometry of peak velocity on body mass: umax ∝ M 0. This work extends our knowledge on the dependence of hemodynamic parameters on body mass and paves the way for a more precise extrapolation of in-vivo measurements to humans and bigger mammals.
Complete list of metadata

Cited literature [18 references]  Display  Hide  Download
Contributor : Abdul Barakat <>
Submitted on : Friday, December 13, 2019 - 11:10:45 PM
Last modification on : Wednesday, December 18, 2019 - 1:03:53 AM


Croizat et al.pdf
Files produced by the author(s)


  • HAL Id : hal-02410685, version 1



G Croizat, A Kehren, H Roux de Bézieux, A. Barakat. Influence of pulsatile blood flow on allometry of aortic wall shear stress. 2018. ⟨hal-02410685⟩



Record views


Files downloads