2018/02/07 by Sylvio R. Bistafa, Bistafa, Sylvio R.
Medicine · #Cardiovascular Health and Disease Prevention #FOS: Physical sciences #History and Philosophy of Physics (physics.hist-ph)
paper · pdf · doi:10.48550/arxiv.1802.02496
openalex publication_date 2018/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This is an annotated translation from Latin of 'Principia pro motu sanguinis per arterias determinando' in which Euler develops the first known work on the mechanics of flows in elastic tubes, intended to the first contest of the Dijon Academy of 1742. In this work, Euler applied the principles of mass conservation and momentum conservation to the one dimensional flow of an incompressible fluid through an elastic tube driven by a piston pump. These would allow the analytical treatment of circulatory physiology and hemodynamics, which still undergird the most advanced numerical methods in use today for blood flow analysis in arterial networks.