Why are arteries pulsatile

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Google Scholar. Atabek , H. Group A. Adequate ventilation with oxygen. Mandelbaum I, Burns WH. Pulsatile and Nonpulsatile Blood Flow. Coronavirus Resource Center. Our website uses cookies to enhance your experience. By continuing to use our site, or clicking "Continue," you are agreeing to our Cookie Policy Continue.

Twitter Facebook. This Issue. February 22, Murray CD: The physiological principle of minimum work. The vascular system and the cost of blood volume. Murray CD: The physiological principle of minimal work applied to the angle of branching of arteries.

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Correspondence to Page R Painter. The authors contributed equally to the calculation of bounds on D and the calculation of energy dissipation for oscillatory flow. The tethered elastic tube model, the exact solution for flow and shear force and the relation between shear force and Murray's law were contributed by PP. This article is published under license to BioMed Central Ltd.

Reprints and Permissions. Painter, P. Pulsatile blood flow, shear force, energy dissipation and Murray's Law. Theor Biol Med Model 3, 31 Download citation. Received : 14 March Accepted : 21 August Published : 21 August Anyone you share the following link with will be able to read this content:. Sorry, a shareable link is not currently available for this article.

Provided by the Springer Nature SharedIt content-sharing initiative. Skip to main content. Search all BMC articles Search. Download PDF. Abstract Background Murray's Law states that, when a parent blood vessel branches into daughter vessels, the cube of the radius of the parent vessel is equal to the sum of the cubes of the radii of daughter blood vessels.

Methods To determine the implications of the constant shear force hypothesis and to extend Murray's energy cost minimization to the pulsatile arterial system, a model of pulsatile flow in an elastic tube is analyzed. Results For medium and small arteries with pulsatile flow, Murray's energy minimization leads to Murray's Law.

Conclusion A cellular mechanism that senses shear force at the inner wall of a blood vessel and triggers remodeling that increases the circumference of the wall when a shear force threshold is exceeded would result in the observed scaling of vessel radii described by Murray's Law. Background In , the physiologist Cecil Murray published a theoretical explanation for the relationship between the radius of an artery immediately upstream from a branch point parent artery and the radii of arteries immediately downstream daughter arteries [ 1 , 2 ].

The rigid tube model To develop the model, we first consider blood flow in a rigid cylindrical tube of constant radius R. Full size table. Figure 1. Full size image. References 1. Article Google Scholar 7. CAS Google Scholar 8. Saunders Google Scholar 9.