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Beyond the back-of-the-envelope: Elevating cost discourse in fertility care.
Fertil Steril
January 2025
Northwestern University, Department of Obstetrics and Gynecology, Chicago, IL. Electronic address:
"What makes blood clots break off?" A Back-of-the-Envelope Computation Toward Explaining Clot Embolization.
Cardiovasc Eng Technol
October 2024
Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin, TX, 78712, USA.
Purpose: One in four deaths worldwide is due to thromboembolic disease; that is, one in four people die from blood clots first forming and then breaking off or embolizing. Once broken off, clots travel downstream, where they occlude vital blood vessels such as those of the brain, heart, or lungs, leading to strokes, heart attacks, or pulmonary embolisms, respectively. Despite clots' obvious importance, much remains to be understood about clotting and clot embolization.
View Article and Find Full Text PDFBiologically Generated Mixing in the Ocean.
Ann Rev Mar Sci
January 2019
NorthWest Research Associates, Redmond, Washington 98052, USA; email:
This article assesses the contribution to ocean mixing by the marine biosphere at both high and low Reynolds numbers Re= uℓ/ ν. While back-of-the-envelope estimates have suggested that swimming marine organisms might generate as much high-Reynolds-number turbulence as deep-ocean tide- and wind-generated internal waves, and that turbulent dissipation rates of O(10 W kg) (Re ∼ 10) could be produced by aggregations of organisms ranging from O(0.01 m) krill to O(10 m) cetaceans, comparable to strong wind and buoyancy forcing near the surface, microstructure measurements do not find consistently elevated dissipation associated with diel vertically migrating krill.
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