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The shear stress level in arteries is regulated such that, when a higher (or lower) shear level is sensed by the endothelium of an artery (the cells that line the inner wall of the artery), the artery alters its radius so that th shear level returns to its optimal value. This optimal value, to, is relatively constant through the arterial tre On the basis of this criterion, determine how the flow rate depends on the artery diameter in such an arteria tree. You may assume steady flow conditions.

The shear stress level in arteries is regulated such that, when a higher (or lower) shear level is sensed by the endothelium of an artery (the cells that line the inner wall of the artery), the artery alters its radius so that th shear level returns to its optimal value. This optimal value, to, is relatively constant through the arterial tre On the basis of this criterion, determine how the flow rate depends on the artery diameter in such an arteria tree. You may assume steady flow conditions.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The shear stress level in arteries is regulated such that, when a higher (or lower) shear level is sensed by the endothelium of an artery (the cells that line the inner wall of the artery), the artery alters its radius so that the shear level returns to its optimal value. This optimal value, \( \tau_0 \), is relatively constant through the arterial tree. On the basis of this criterion, determine how the flow rate depends on the artery diameter in such an arterial tree. You may assume steady flow conditions.
Transcribed Image Text:The shear stress level in arteries is regulated such that, when a higher (or lower) shear level is sensed by the endothelium of an artery (the cells that line the inner wall of the artery), the artery alters its radius so that the shear level returns to its optimal value. This optimal value, \( \tau_0 \), is relatively constant through the arterial tree. On the basis of this criterion, determine how the flow rate depends on the artery diameter in such an arterial tree. You may assume steady flow conditions.
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