= Scale = ==== The Universal Laws of Growth, Innovation, Sustainability, and the Pace of Life in Organisms, Cities, Economies, and Companies ==== == Geoffrey West 303.44 WES 2017 Beavertin Library == ------ Great ideas. A fat book that should have been leaner - though it could have been more explicit about unsolved problems and open questions. A couple of math goofs: ------ Page 119: ... "our capillaries are only 5 micrometers wide (about a ''hundredth of an inch''), which is somewhat smaller than a hairbreadth" . [[ https://en.wikipedia.org/wiki/Capillary | A capillary is a small blood vessel from 5 to 10 micrometres (μm) in diameter, and having a wall one endothelial cell thick. ]] . [[ https://hypertextbook.com/facts/1999/BrianLey.shtml | hair diameter is 17 to 181 micrometers ]]. An inch is 25.4 millimeters, or 25400 micrometers, so capillaries are '''about __0.2 thousandths__ of an inch, or __0.2 mils__''' or 200 millionths of an inch. Inches are a weird archaic unit, so it is unsurprising that a particle physicist (trained to work with vastly smaller metric units, not mixed engineering units) doesn't notice this error. ----- Page 125: "shrew's heart" ... and ... "whale's heart" ... "This is pretty amazing -- just think of the enormous stresses on the walls of the shrew's tiny aorta and arteries compared with the pressures on yours or mine, let alone those on a whale's. No wonder the poor creature dies after only a year or two." . The wall stress of a pressure vessel is proportional to the pressure times the radius. That stress is accommodated by the tensile strength of the vessel wall material (collagen? muscle?) multiplied by thickness. A shrew and a whale both use the same materials - and the shrew needs a proportionally thinner wall to accommodate the proportionally smaller stress. One to one scaling. A shrew's lifetime is short because its metabolism runs faster; species survival is optimized by devoting resources to fast reproduction, not individual longevity.