scispace - formally typeset
Search or ask a question
Journal ArticleDOI

The Physiological Principle of Minimum Work: I. The Vascular System and the Cost of Blood Volume.

01 Mar 1926-Proceedings of the National Academy of Sciences of the United States of America (National Academy of Sciences)-Vol. 12, Iss: 3, pp 207-214
About: This article is published in Proceedings of the National Academy of Sciences of the United States of America.The article was published on 1926-03-01 and is currently open access. It has received 1820 citations till now. The article focuses on the topics: Blood volume.
Citations
More filters
Journal ArticleDOI
04 Apr 1997-Science
TL;DR: The model provides a complete analysis of scaling relations for mammalian circulatory systems that are in agreement with data and predicts structural and functional properties of vertebrate cardiovascular and respiratory systems, plant vascular systems, insect tracheal tubes, and other distribution networks.
Abstract: Allometric scaling relations, including the 3/4 power law for metabolic rates, are characteristic of all organisms and are here derived from a general model that describes how essential materials are transported through space-filling fractal networks of branching tubes. The model assumes that the energy dissipated is minimized and that the terminal tubes do not vary with body size. It provides a complete analysis of scaling relations for mammalian circulatory systems that are in agreement with data. More generally, the model predicts structural and functional properties of vertebrate cardiovascular and respiratory systems, plant vascular systems, insect tracheal tubes, and other distribution networks.

4,272 citations

Journal ArticleDOI
TL;DR: FFR derived from CTA was demonstrated as superior to measures of CTA stenosis severity for determination of lesion-specific ischemia, and a review on the scientific principles that underlie this technology is presented.

951 citations


Cites background from "The Physiological Principle of Mini..."

  • ...The mathematical relationship between vessel size and flow rate was first proposed by Murray (24) in 1926, as Q f dk, where Q is the flow rate through a blood vessel, d is its diameter, and k is a constant derived empirically for which Murray proposed a value of 3....

    [...]

  • ...In its simplest form, Murray’s law is the manifestation of adaptive mechanisms whereby blood vessels sense the level of shear stress on the endothelial surface and remodel to maintain homeostasis....

    [...]

  • ...If wall shear stress is maintained at a constant, homeostatic level, then this formula implies that Q f d 3, and Murray’s law is recovered....

    [...]

Journal ArticleDOI
TL;DR: This paper reviews state-of-the-art literature on vascular segmentation with a particular focus on 3D contrast-enhanced imaging modalities (MRA and CTA) and discusses the theoretical and practical properties of recent approaches and highlight the most advanced and promising ones.

951 citations

Journal ArticleDOI
TL;DR: Migrations of both endothelial and epithelial monolayers conform to this behavior, as do breast cancer cell lines before but not after the epithelial-mesenchymal transition, and collective migration in these diverse systems is seen to be governed by a simple but unifying physiological principle.
Abstract: The mechanical stresses within and between cells inside an advancing cellular monolayer are mapped experimentally. Cellular migration is found to be oriented in the direction of maximum principal stress indicating that cells collectively migrate to maintain minimal local intercellular shear stress.

806 citations