TY - JOUR
AU1 - Cecil D. Murray
AB - (From the Department of Biology, Bryn Mawr College, Bryn Mawr.) (Accepted for publication, April 1, 1925.) In a recent paper t it has been proposed that the total work involved in the circulation of blood in a section of artery (sufficiently small so that the pulsating changes in the kinetic energy of the blood stream in it can be neglected as compared to the work required to overcome friction) can be expressed b y the equation: E = p f + bvol f~.l.8~ wr 4 + blrrr 2 (1) which embodies Poiseuille's law of flow and a term which covers the cost of maintenance of blood volume, p is the fall in pressure in dynes/cm. ~, b is the cost of blood volume in ergs/cc, sec. (considered constant), vol is the volume, r is the radius of the section of artery, and 71 is the viscosity of whole blood (also taken as "constant"). At constant flow, f (that is, for any given steady state), and at constant length of arterial section, l, the total energy, E, is a minimum when: f~ = ~ r6r~b (2) Substituting forj ~ in the original equation, we obtain: Ell = r2(3rb) Or,
TI - THE PHYSIOLOGICAL PRINCIPLE OF MINIMUM WORK APPLIED TO THE ANGLE OF BRANCHING OF ARTERIES
JF - The Journal of General Physiology
DO - 10.1085/jgp.9.6.835
DA - 1926-07-01
UR - https://www.deepdyve.com/lp/rockefeller-university-press/the-physiological-principle-of-minimum-work-applied-to-the-angle-of-0LpYy4YKcC
VL - 9
IS - 6
DP - DeepDyve