Timeline for Costa's minimal surface and the structure of lungs
Current License: CC BY-SA 3.0
7 events
when toggle format | what | by | license | comment | |
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Nov 12, 2013 at 1:04 | vote | accept | Joseph O'Rourke | ||
Nov 11, 2013 at 16:36 | answer | added | j.c. | timeline score: 5 | |
Nov 11, 2013 at 14:14 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
Oprea quote added.
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Nov 11, 2013 at 1:07 | comment | added | Joseph O'Rourke | @GerhardPaseman: Textbook: "expanding their lungs...This is called negative-pressure breathing and is analogous to taking air into an accordion by pulling the accordion out to a greater volume." Interesting connection! | |
Nov 11, 2013 at 0:50 | comment | added | Gerhard Paseman | There is some appeal in the notion you suggest. However, I would look at rapid gas exchange as an optimization target, and that may involve the physics of fluid flow as much or more than the geometry of minimal surfaces. Recall that these structures have to move to accommodate more/less gas. Perhaps looking at accordion design would help. Gerhard "A Revolution In Bellows Design?" Paseman, 2013.11.10 | |
Nov 10, 2013 at 23:03 | comment | added | Will Jagy | Not the worst notion. I suggest constant mean curvature other than $0...$ Yet again, the variational problem is to put lots of capillaries into these blobs while giving large surface area, so I'm not sure it has true three-dimensional behavior as a pde. The blobs do seem oddly flat, a Gumby toy. en.wikipedia.org/wiki/Pulmonary_alveolus Yes, optimum coverage by capillaries, a sort of 1 dimensional network, inside, large surface area outside. | |
Nov 10, 2013 at 22:36 | history | asked | Joseph O'Rourke | CC BY-SA 3.0 |