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Reply-To: "Jim Kress" <jimkress@kressworks.com>
From: "Jim Kress" <jimkress@ameritech.net>
To: "Peter Shenkin" <shenkin@schrodinger.com>, <chemistry@ccl.net>
References: <Pine.LNX.4.05.9907301519370.10876-100000@sally.schrodinger.com>
Subject: Re: CCL:Levinthal's paradox
Date: Fri, 30 Jul 1999 17:45:13 -0400
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In highly nonlinear systems sudden transitions in states (from one to
another) are a well known behavior.  Could it be that the 'paradox' is just
the result of a simple state change in a protein driven by the highly
nonlinear forces that control its configuration?


Jim

Check out my web site  http://www.kressworks.com/
It'll blow your mind (politically), stimulate your senses (artistically)
and provide scientific insights that boggle the mind!

----- Original Message -----
From: Peter Shenkin <shenkin@schrodinger.com>
To: <chemistry@ccl.net>
Sent: Friday, July 30, 1999 4:35 PM
Subject: CCL:Levinthal's paradox


> On Fri, 30 Jul 1999, JATI KASTANJA wrote:
> > does anyone know something about the Levinthal paradox?
> >...
> > Until now I am unsuccessful in finding out the journal where Cyrus ...
>
> Hi,
>
> If you do find the Journal, you will find that it contains only
> a passing reference to what has become known as the Levinthal
> paradox.  The idea really derives from a comment Cyrus once made at a
> meeting.
>
> The idea is this.  Take a 100-residue protein.  Let's suppose each
> residue can have only, say, 3 conformational states.  Then there
> are 3^100, or about 10^48, possible states.  Now suppose the protein
> can explore a new state with every moleculear vibration.  Suppose
> each vibration takes about a femtosecond.  Then exploring all
> the states would take about 10^48 fs, or 10^33 s.  There are about 10^8 s
> in a year, so exploring all the states would take about 10^25 years.
> But this is longer than the age of the universe.
>
> Now, in order for a protein to fold into its global
> thermodynamic energy minimum, the folding process has to
> be ergodic.  That is, it has to explore all its states
> within the time-span of the process.  But protein folding takes
> typically seconds to minutes.  So a protein can't be folding
> into its thermodynamic energetic minimum, since it can't
> possibly find it in so short a time.
>
> Therefore, protein folding must be a kinetically controlled process.
> I.e., proteins fold to the most accessible minimum, rather than the
> most stable minimum.  In this, protein folding must resemble the
> kinetically controlled reactions of organic (and bio-) chemistry.
>
> The reason it's considered a "paradox" is that most people
> don't believe it (at least for globular proteins as small
> as 100 residues). Cyrus didn't believe it either, in fact.
> But it is fun to think about, and it's great for impressing
> people at cocktail parties.  (You have to go to the right cocktail
> parties, though. :-) )
>
> -P.
>
> --
> ********* Peter S. Shenkin; Schrodinger, Inc.; (201)433-2014 x111
*********
> *********** shenkin@schrodinger.com; http://www.schrodinger.com
***********
>
>
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