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      On connecting large vessels to small. The meaning of Murray's law

      research-article
      The Journal of General Physiology
      The Rockefeller University Press

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          Abstract

          A large part of the branching vasculature of the mammalian circulatory and respiratory systems obeys Murray's law, which states that the cube of the radius of a parent vessel equals the sum of the cubes of the radii of the daughters. Where this law is obeyed, a functional relationship exists between vessel radius and volumetric flow, average linear velocity of flow, velocity profile, vessel-wall shear stress, Reynolds number, and pressure gradient in individual vessels. In homogeneous, full-flow sets of vessels, a relation is also established between vessel radius and the conductance, resistance, and cross- sectional area of a full-flow set.

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          Author and article information

          Journal
          J Gen Physiol
          The Journal of General Physiology
          The Rockefeller University Press
          0022-1295
          1540-7748
          1 October 1981
          : 78
          : 4
          : 431-453
          Article
          82032264
          10.1085/jgp.78.4.431
          2228620
          7288393
          0789d6f6-d761-4310-b5d5-f8bda8ad8188
          History
          Categories
          Articles

          Anatomy & Physiology
          Anatomy & Physiology

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