UWSojourner
Contributor
Yep. I'll just add one thing. When asked about why VPM had inverted gradients (i.e. higher allowed supersaturations in slower compartments), Dr. Yount said:In Erik Baker's VPM code of 2001,
ftp://decompression.org/Baker/VPM%20Decompression%20Program%20in%20Fortran.pdf
you will find the parameters
Critical_Radius_N2_Microns, Crit_Volume_Parameter_Lambda, Surface_Tension_Gamma, Skin_Compression_GammaC, Regeneration_Time_Constant
to be the same as in Yount's 1986 paper.
When adding Boyle's law adjustment, Baker saw that the VPM-B algorithm became more conservative and suggested to reduce the critical radius and lambda. Great. Tune internal parameters so that the runtime looks OK to the unsuspecting user, but don't worry about parameter calibration by controlled experiments, DCS risk, efficiency or anything.
"You are interpreting things much more literally than I ever interpreted them. For example, I would be reluctant to associate different compartments with specific sites or tissues. As another example, you have shown that the radial distributions must be different in different compartments following a 3-10 min compression, but this presumes they were the same to begin with. You don't know that they were the same, and they certainly wouldn't be the same if the surface tensions were different in the different tissues. As yet another example, Hennessy and Hempleman worried a lot about the solubility of various gases in watery tissue versus fatty tissue. It's not wrong to worry about things like that, but if you do worry about things like that, you will very quickly get into a regime where there are so many unknown parameters you can't make a practical model. You might as well do a maximum likelihood calculation and not try to understand the underlying physics or physiology. It is amazing that VPM works as well as it does in spite of all the details that have been left out ... If this works, we're in business. If it doesn't work, we need to start over and make some more assumptions."
The goal was to get a workable model based on the physics of bubble formation, not tune it to physical outcomes. And in order to get a workable model a lot of simplifying assumptions had to be made as you point out.
I give Dr. Yount a lot of credit for the last sentence.
[This link is the source of Dr. Yount's quote. See the bottom of the page.]
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