Sooooo... I'm familiar with both Reynolds and Mach from my days at Lockheed. 
But Mach, as I (probably don't) understand it, is tied to sound only because 
that's an indirect measure of the medium's compressibility, sound being 
compression waves. In thinking about these "low Reynolds number" organisms, I 
can't help but wonder what the analog for the "speed of sound" is for them. It 
strikes me that E. coli live way above "Mach 1", they live near Mach ∞, right? 
But if the medium is effectively incompressible, can there be pressure 
gradients across the organism's membrane? There must be, right? Since these 
things have internal architecture, including vacuoles, movement like the 
amoeba's "processes" seems more interesting than the poloidal rotation he 
mentions. Does the amoeba "push" against its medium? Or simply "grow through 
it"?

One of the coolest things about tissues to me is that they engineer their 
world, extruding their tools and infrastructure like so many dorks with 3D 
printers. I've only briefly skimmed the Purcell paper, but I didn't see 
anything about if/how microorganisms might do the same. If the amoeba-like ones 
"grow" through the medium, rather than pushing/pulling, then maybe the analog 
for the Mach number is related to diffusion and gradients, which makes 
Purcell's discussion of it on point, but doesn't go far enough.

On 7/6/20 8:02 AM, Jon Zingale wrote:
> The version of "Life at low Reynolds number" that I am familiar with is this
> one:
> http://www.damtp.cam.ac.uk/user/gold/pdfs/purcell.pdf


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