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Hello Jacob,

that's correct, I'm only looking at the mathematical significance, not the biological one.  I follow the same reasoning - it is highly improbably for all atoms to be skewed in the same direction.    

In a case I'm currently looking at, I'm particularly dealing with cryo-EM data, not X-ray structures, but with the same underlying principles: what are the odds that all pixels of the map move together in the same direction?  

As mentioned for X-ray structures, a Luzzati analysis may give information about the positional errors, but there should be an increased resolution when comparing domain movements, because it's unlikely for all atoms to have an error in the same direction.

Filip

On Mon, Nov 21, 2011 at 2:16 PM, Jacob Keller <[log in to unmask]> wrote:
Just to clarify: I think the question is about the mathematical sense
of "significance," and not the functional or physiological
significance, right? If I understand the question correctly, wouldn't
the reasoning be that admittedly each atom in the model has a certain
positional error, but all together, it would be very unlikely for all
atoms to be skewed in the same direction?

Jacob



On Mon, Nov 21, 2011 at 4:04 PM, Filip Van Petegem
<[log in to unmask]> wrote:
> Dear crystallographers,
> I have a general question concerning the comparison of different
>  structures.  Suppose you have a crystal structure containing a few domains.
>  You also have another structure of the same, but in a different condition
> (with a bound ligand, a mutation, or simply a different crystallization
> condition,...).  After careful superpositions, you notice that one of the
> domains has shifted over a particular distance compared to the other
> domains, say  1-1.5 Angstrom.   This is a shift of the entire domain.  Now
> how can you know that this is a 'significant' change?  Say the overall
> resolution of the structures is lower than the observed distance (2.5A for
> example).
> Now saying that a 1.5 Angstrom movement of an entire domain is not relevant
> at this resolution would seem wrong: we're not talking about some electron
> density protruding a bit more in one structure versus another, but all of
> the density has moved in a concerted fashion.  So this would seem 'real',
> and not due to noise.   I'm not talking about the fact that this movement
> was artificially caused by crystal packing or something similar. Just for
> whatever the reason (whether packing, pH, ligand binding, ...), you simply
> observe the movement.
> So the question is: how you can state that a particular movement was
> 'significantly large' compared to the resolution limit?  In particular, what
> is the theoretical framework that allows you to state that some movement is
> signifcant? This type of question of course also applies to other methods
> such as cryo-EM.  Is a 7A movement of an entire domain 'significant' in a
> 10A map? If it is, how do we quantify the significance?
> If anybody has a great reference or just an individual opinion, I'd like to
> hear about it.
> Regards,
> Filip Van Petegem
>
> --
> Filip Van Petegem, PhD
> Assistant Professor
> The University of British Columbia
> Dept. of Biochemistry and Molecular Biology
> 2350 Health Sciences Mall - Rm 2.356
> Vancouver, V6T 1Z3
>
> phone: +1 604 827 4267
> email: [log in to unmask]
> http://crg.ubc.ca/VanPetegem/
>



--
*******************************************
Jacob Pearson Keller
Northwestern University
Medical Scientist Training Program
email: [log in to unmask]
*******************************************



--
Filip Van Petegem, PhD
Assistant Professor
The University of British Columbia
Dept. of Biochemistry and Molecular Biology
2350 Health Sciences Mall - Rm 2.356
Vancouver, V6T 1Z3

phone: +1 604 827 4267
email: [log in to unmask]
http://crg.ubc.ca/VanPetegem/