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Date: Tue, 24 Mar 1998 23:36:09 -0500 (EST)
From: "William M. Smithers" <will@tr*.co*>
Subject: Re: Cardiovascular fitness, HFSness, and DCS risk
To: "Thomas A. Easop" <tomeasop@mi*.co*>
Cc: wwm@sa*.ne*, techdiver@aquanaut.com

On Tue, 24 Mar 1998, Thomas A. Easop wrote:
> To go off on a tangent to this discusssion momentarily, since micro bubble
nuclei  are
> indeed "an a-priori fact of life" wouldn't it make more sense to include the
10ft/3m 02
> deco stop in your schedule since these "bubble seeds" will then have more
surface area
> to offgass, as oppposed to a higher inner bubble preasure at 20ft/3m?
>
Actually, that's the subtle part about bubbles.  Keep
in mind that the key thing (leaving off real complications
like protein coating, which mess up the "pure" physics),
is that because small bubbles are spherical, the
relationship between the volume and the surface area
is not linear - the volume grows much more quickly
than the surface area does.

So, as a bubble grows, it's internal pressure drops,
and the surface area increases, 
and hence, one might be tempted to think that the 
larger surface area provides better contact for dissolution.

BUT, the thing is, the dissolution of the
gas in the bubble is not related to bubble surface
area like that, it's the partial pressure of the
gas that determines how fast it will be absorbed
back into the blood - the higher the partial pressure
in the bubble vs. the "ambient" partial pressure
in the blood, the faster the bubble will dissolve.

Since smaller bubbles have a higher surface tension,
the partial pressure of the gas inside is higher, 
(and the volume is lower), the bubble will dissolve 
more quickly.  As a bubble gets larger, the surface
tension decreases, and the internal pressure starts
to get closer to ambient pressure, which slows
the rate of dissolution.  In fact, the surface
tension is likely to drop so much that ascent
is likely to cause the bubble to *on-gas*.

Thus, smaller bubbles tend to shrink, while
larger bubbles tend to grow.  Above a certain
critical size, the amount of time it takes
for a bubble to shrink goes up fantastically,
which is why (some suggest) we see such a long decay curve
in Haldanean models - they let the bubbles
grow, then deal with longer times it takes
to dissolve the enlarged bubbles.

That's why you want to do your stops as deep as
you can get away with, while at the same time
trying to strike a balance with avoiding further
raw tissue loading.
 
> Also, Will, do you find the texts of Yount, etc? I still can't find any in
the usual
> places.

No, the mysterious Yount eludes us all - except maybe Rich Pyle.
Weinke has Yount's paraphrasings and references all over the
place, but I'll be damned if I can find his stuff directly.
I wish someone with an actual copy would step up and
volunteer to fax the stuff (I'll volunteer to redistribute from there).
I'm sure the UHMS library has the goods.

Regards,

-Will

> Bill Mee wrote:
> 
> > <snip>
> > > On Mon, 23 Mar 1998, Bill Mee wrote:
> > >
> > > > The more surface area for gas exchange, the better able for the
> > > > system to transport dissolved gas to the alveolar pulmonary circulation
> > > > and hence the critical level of dissolved inert gas, where bubble
> > > > nucleation occurs, can me minimized.
> > > >
> 
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