Two thoughts on asymmetric oligomers.

1.  Here is a recent survey of asymmetric homodimers in the PDB.  I know you 
are looking for trimers, but at least this provides a precedent for asymmetric 
oligomers.

Swapna LS, Srikeerthana K, Srinivasan N. Extent of structural asymmetry in
homodimeric proteins: prevalence and relevance. PLoS One. 2012;7(5):e36688. doi:
10.1371/journal.pone.0036688. Epub 2012 May 22. PubMed PMID: 22629324; PubMed
Central PMCID: PMC3358323.

2. SAXS is a very effective method for determining whether assemblies observed 
in crystals are stable in solution, since it provides not only the oligomeric 
state, but also the quaternary structure.  The oligomeric state can be obtained 
from the volume of correlation (1) and Porod-Debye analysis (2).  The 
quaternary structure can be deduced by comparing the experimental SAXS curve to 
theoretical curves calculated from oligomer models identified by PISA or from 
manual inspection.   The FoXS server and CRYSOL are good tools for this. FoXS 
also allows ensembles of oligomers (MES) to be used in fitting the data (e.g. 
mixture of monomer + dimer). I believe ATSAS also has an ensemble program, but 
the name escapes me at this time.  We have used this approach to show that 
assemblies that are predicted to be stable by PISA are not found in solution (3 
and unpublished results).

1: Rambo RP, Tainer JA. Accurate assessment of mass, models and resolution by
small-angle scattering. Nature. 2013 Apr 25;496(7446):477-81. doi:
10.1038/nature12070. PubMed PMID: 23619693; PubMed Central PMCID: PMC3714217.

2: Rambo RP, Tainer JA. Characterizing flexible and intrinsically unstructured
biological macromolecules by SAS using the Porod-Debye law. Biopolymers. 2011
Aug;95(8):559-71. doi: 10.1002/bip.21638. Epub 2011 Apr 20. PubMed PMID:
21509745; PubMed Central PMCID: PMC3103662.

3: Luo M, Singh RK, Tanner JJ. Structural determinants of oligomerization of
δ(1)-pyrroline-5-carboxylate dehydrogenase: identification of a hexamerization
hot spot. J Mol Biol. 2013 Sep 9;425(17):3106-20. doi: 
10.1016/j.jmb.2013.05.027.
Epub 2013 Jun 7. PubMed PMID: 23747974; PubMed Central PMCID: PMC3743950.

On Dec 12, 2014, at 4:56 AM, Jose Manuel Duarte wrote:

Dear Hay

Your post prompted me to respond, since I think the issue of symmetry is 
extremely important.

I would like to reinstate here what should be obvious to everyone: a stable 
asymmetric assembly of proteins in solution is essentially impossible (or at 
most very very unlikely), purely because of topological reasons.

This is beautifully explained in a classic paper now 50 years old: Monod, 
Wyman, Changeux (1965) "On the Nature of Allosteric Transitions: A Plausible 
Model". The reasoning there is that a homomeric protein in solution can only 
associate in 2 ways: isologous (binding with same surface patches in both 
monomers, necessarily through a 2-fold axis) or heterologous (binding through 
different surface patches in both monomers). The isologous case is clearly 
symmetric (C2). Whilst in the heterologous case  the monomers can either 
assemble infinitely or form a closed symmetry. The conclusion that follows is 
that stable homo-oligomers can only be symmetric.

I especially like this paragraph:

"On the basis of these considerations, it is reasonable to assume that, if an 
oligomeric protein possesses a wide range of stability, it consists of a closed 
structure where all the protomers use the same binding sets; which implies, as 
we have just seen, that the molecule should possess at least one axis of 
symmetry."

The paper really explains it a lot better than me, it can be found here: 
http://www.pasteur.fr/ip/resource/filecenter/document/01s-00004j-0er/monod-wyman-changeux-1965.pdf

The conclusion in any case is that asymmetry in homomers is, if not impossible, 
highly unlikely. So in my opinion asymmetric assemblies should be proposed with 
a lot of care, only if experimental data really is overwhelmingly clear. For 
instance I don't think that gel filtration or AUC would be good evidence 
enough: it really needs to be demonstrated that the interface that you see in 
the crystal is the one leading to oligomerisation (perhaps with a mutagenesis 
experiment?). Otherwise the interface in the crystal is most likely simply a 
crystal contact.

Jose



On 12/12/14 10:15, Hay Dvir wrote:
Dear Jeremy,

Indeed, we also incline to think of it as a monomer in solution, but still 
quite un-eased by the extensive interactions in the asu being merely as a 
result of a crystallization artifact. As you said, we may need to rely more 
heavily on biochemical analysis and since SEC wasn't clear we are turning now 
to LS (hope to able to post a more conclusive update).

Regardless of what our final conclusion would be for this case, we became 
rather generally interested to find other similar cases of homomeric assemblies 
related only by non crystallographic translation symmetry (or as Engin Qzka 
pointed out "improper NCS" is the conventional terminology). So to rephrase our 
question we are interested to learn about additional structures of homomoeric 
improper ncs assemblies.

I truly appreciate ANY open-minded or skeptic thought, profound or trivial that 
we get here! They all, definitely those made by Mark Garavito, contribute to 
shaping our mind around this riddle.
Thanks for commenting on the skepticism, I brought it up as part of the 
discussion but a glitch of my own coffee time haziness might have slipped in. 
Perhaps I should try some o-cha instead .. :)

cheers,
Hay


On Dec 12, 2014, at 3:05 AM, Jeremy Tame wrote:

Dear Hay

I suggest that you use analytical ultracentrifugation to determine the 
oligomeric state of the protein in solution.
Mass spectrometry and light scattering are also useful, but there are so many 
examples of gel filtration proving
erroneous it has questionable value as an analytical technique. For an example 
of a dimer interface predicted by
PISA to be real you could look at Yoshida et al, JMB 423, 351 (2012). The 
protein is in fact a monomer in solution.
PISA is a fantastic tool, but interfaces in crystals do not always reflect the 
solution state. My guess (with the
information I have) is that your protein is probably a monomer too.

With regard to Michael Garavito's reply requesting more information, I would 
like to comment that scepticism
is indeed an important god in the pantheon of science, but that that minor 
deity open-mindedness also deserves the
occasional nod. 10-fold crystal symmetry is one example, but the list of 
"impossible" things now become mainstream
is a long one (continental drift, Earth >100,000 years old, quantum 
mechanics....and so on). Bayes theorem cannot
help you discover the truth if you have set its prior probability to zero. But 
I haven't my morning o-cha yet either.

good luck
Jeremy


On Dec 11, 2014, at 9:27 PM, Hay Dvir wrote:

Dear all,


We have a structure of a rather tightly packed homotrimer protein in the ASU 
with no apparent crystallographic or non-crystallographic rotational symmetry 
between monomers.
Attempting to establish the biological assembly, we are very interested to hear 
about additional similar cases you might know of.

Thanks in advance,
Hay


---------------------------
Hay Dvir Ph. D.
Head Technion Center for Structural Biology
Technion Haifa 3200003, Israel
Tel: +(972)-77-887-1901
Fax: +(972)-77-887-1935
E-mail [email protected]<mailto:[email protected]>
Website http://tcsb.technion.ac.il<http://tcsb.technion.ac.il/>





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