An optimization principle for vascular radius including the effects of smooth muscle tone

Biophysical Journal
L A Taber

Abstract

An optimization principle is proposed for the regulation of vascular morphology. This principle, which extends Murray's law, is based on the hypothesis that blood vessel diameter is controlled by a mechanism that minimizes the total energy required to drive the blood flow, to maintain the blood supply, and to support smooth muscle tone. A theoretical analysis reveals that the proposed principle predicts that the optimum shear stress on the vessel wall due to blood flow increases with blood pressure. This result agrees qualitatively with published findings that the fluid shear stress in veins is significantly smaller than it is in arteries.

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Citations

Jun 30, 2012·Biomechanics and Modeling in Mechanobiology·Beth L Roman, Kerem Pekkan
Jul 14, 2006·Annals of Biomedical Engineering·Jorn Op Den BuijsErik L Ritman
May 27, 2009·Medical & Biological Engineering & Computing·Anh BuiKurt Liffman
Jul 13, 2006·Annual Review of Biomedical Engineering·M A J ChaplainA R A Anderson
Nov 3, 2010·Progress in Biophysics and Molecular Biology·Sarah L WatersFrans N van de Vosse
May 19, 2010·Microvascular Research·Aristotle G KoutsiarisEvagelia Tsironi
Jun 17, 2016·Artery Research·Alun D Hughes
May 13, 2014·Biomechanics and Modeling in Mechanobiology·Stefan B LindströmAnders Klarbring
Oct 9, 2004·Arteriosclerosis, Thrombosis, and Vascular Biology·Anil K JoshiC Ross Ethier
Jul 21, 1999·Journal of Biomechanical Engineering·L A Taber
Sep 18, 2007·American Journal of Physiology. Heart and Circulatory Physiology·Yi LiuGhassan S Kassab
Nov 24, 2006·American Journal of Physiology. Heart and Circulatory Physiology·Yi Liu, Ghassan S Kassab
Mar 5, 2020·Biomechanics and Modeling in Mechanobiology·S Samaneh LashkariniaKerem Pekkan
Sep 14, 2014·American Journal of Physiology. Heart and Circulatory Physiology·Krishna SriramDaniel M Tartakovsky
Oct 23, 2002·Journal of Applied Physiology·Ruben DammersPeter J E H M Kitslaar
Jan 8, 2015·Journal of Biomechanical Engineering·Patrick M McGah, Massimo Capobianchi

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