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Re: HC selectivity ... was Re: Physiological models of cochlea activity - alternatives to the travelling wave
Dear A.J. and others,
One picometer is a small displacement, but it's hardly unphysiologically 
small.  For a 0 dB SPL tone at 4 kHz, the free-field peak displacement of 
air is about 2.5 picometers.  Commercial OAE systems have microphones that 
can sense sounds at least as low as -20 dB SPL, corresponding to air 
displacements of 0.25 picometers. If, as Martin said, "there is no known 
physics by which a mechanical signal of this magnitude could be 
transported, let alone be detected," then these microphones - and our 
ears - would be detecting phantoms.
Microphones are pressure sensors, not displacement sensors. Mechanical 
sensors that can detect a displacement of 1 pm are a bad joke. Even single 
molecules could not sense a displacement of 1 pm.
As a further example, the company PI has recently announced a positioning 
device that has (at least) 50 picometer positioning resolution 
(http://www.physikinstrumente.com/en/products/prdetail.php?sortnr=600690). 
The sensor they use to detect this position has an even higher resolution 
still; from their graph on that web page (click on the plot in the lower 
right), the sensor noise looks to be on the order of a couple of 
picometers.  So even man-made systems come close to achieving the required 
sensitivity.  It is hardly a stretch of the imagination to believe that a 
micro-scale biological system can perform similarly well.
Also this example is grossly misleading. The sensors for these positioning 
devices do NOT operate mechanically. Hair cells, however, are 
***mechanical*** sensors.
With regard to whether Brownian motion would preclude OHC amplification of 
such small signals, so far I've seen a lot of hand-waving on both sides of 
the issue, but few quantitative arguments.  Since it's much easier to show 
that something is possible than to show that it isn't, the people who wish 
to argue that OHCs can't amplify these small signals have a harder job 
here.  Nonetheless, I would be interested to see someone do this analysis 
carefully.
There is multiple empirical evidence on the question which displacement a 
hair bundle can register. The minimum is in the range of hundreds of 
picometer. Again, 1 pm is a bad joke.
For any alternate model to become as widely adopted, we would need either 
compelling evidence that the traveling wave concept is wrong, .....
The inability of hair cells, or even single molecules, to register a 
displacement of 1 pm is fatal evidence against Bekesy's traveling wave 
concept.
Martin
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Martin Braun
Neuroscience of Music
S-671 95 Klässbol
Sweden
web site: http://w1.570.telia.com/~u57011259/index.htm