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The same is true for beta-helical proteins. See supplement of
Mueller JJ; Barbirz S; Heinle K; Freiberg A; Seckler R; Heinemann U
An intersubunit active site between supercoiled parallel beta helices in the trimeric tailspike endorhamnosidase of Shigella flexneri phage Sf6
Structure 16 (5): 766-775 (2008-05)

Juergen



-----Ursprüngliche Nachricht-----
Von: CCP4 bulletin board im Auftrag von Phoebe Rice
Gesendet: Di 09.09.2008 17:12
An: [log in to unmask]
Betreff: Re: [ccp4bb] truncate ignorance
 
Thanks for all the interesting answers so far!

The anisotropy issue is one that got me worrying about 
truncate for data from DNA-containing crystals in 
particular - and the fact that since its a default in ccp4i, 
new people have stopped worrying about whether or not they 
should use it.  

The DNAs usually stack end-to-end, and thus are very often 
aligned with a particular axis.  Since all those nice flat 
bases are ~3.4A apart, there are often whomping spots in 
only one direction at ~3.4A (even if the DNA isn't even half 
the total scattering mass).  So even if the overall 
diffraction limits are roughly isotropic, in certain 
resolution shells isotropy is still a bad assumption.

   Phoebe


---- Original message ----
>Date: Tue, 9 Sep 2008 09:59:58 +0100
>From: Eleanor Dodson <[log in to unmask]>  
>Subject: [SPAM:#] Re: [ccp4bb] truncate ignorance  
>To: [log in to unmask]
>
>This is a very educational thread but I should remind you 
that the 
>assumed distributions are NOT reliable when either a) the 
data is very 
>anisotropic, or b) the data is very incomplete or c) there 
is a 
>non-crystallographic translation vector in the structure or 
d) the data 
>is twinned.
>
>  I for one dont really know what to do about this, but 
remember the Is 
>are as measured and are in these cases "safer" reflections 
of the 
>experiment..
>
>Eleanor
>
>
>Ian Tickle wrote:
>> Having read the remainder of the paper more carefully I 
note that the
>> authors do go into an extensive discussion about Jeffreys 
(which they
>> don't recommend) and Wilson priors, which indeed overcome 
my objection
>> to the use of the improper prior.  They conclude that the 
simpler
>> expression is adequate for their purposes.  George 
Sheldrick's objection
>> would be valid for their simple prior since the effect on 
intensities in
>> a shell where the true average intensity was zero would 
be to give a
>> non-zero positive and hence biased average intensity.  
However I don't
>> think it's valid to conclude without more careful 
analysis that their
>> simple prior is also adequate in the single crystal case, 
since the
>> kinds of errors encountered (namely from deconvoluting 
overlapping
>> reflections) are quite different.
>>
>> -- Ian
>>
>>   
>>> -----Original Message-----
>>> From: [log in to unmask] 
>>> [mailto:[log in to unmask]] On Behalf Of 
[log in to unmask]
>>> Sent: 08 September 2008 22:20
>>> To: Jacob Keller
>>> Cc: [log in to unmask]
>>> Subject: Re: [ccp4bb] truncate ignorance
>>>
>>> I would also recommend reading of the following paper:
>>>
>>> D.S. Sivia & W.I.F. David (1994), Acta Cryst. A50, 703-
714. A 
>>> Bayesian  
>>> Approach to Extracting Structure-Factor Amplitudes from 
Powder  
>>> Diffraction Data.
>>>
>>> Despite of the title, most of the analysis presented in 
this paper  
>>> applies equally well to single-crystal data (see 
especially 
>>> sections 3  
>>> and 5). If you are not interested in the specific powder-
diffraction  
>>> problems (i.e. overlapping peaks), you can simply skip 
>>> sections 4 and 6.
>>>
>>> A few interesting points from this paper :
>>>
>>> (1) The conversion from I's to F's can be done (in a 
Bayesian 
>>> way) by  
>>> applying two simple formula (equations 11 and 12 in the 
>>> paper), which,  
>>> for all practical purposes, are as valid as the more 
complicated  
>>> French & Wilson procedure (see discussion in section 5).
>>>
>>> (2) Re. the use of I's rather than F's : this is 
discussed on 
>>> page 710  
>>> (final part of section 5). The authors seem to be more 
in favor of  
>>> using F's.
>>>
>>>
>>>
>>> Marc Schiltz
>>>
>>>
>>>
>>>
>>>
>>> Quoting Jacob Keller <[log in to unmask]>:
>>>
>>>     
>>>> Does somebody have a .pdf of that French and Wilson 
paper?
>>>>
>>>> Thanks in advance,
>>>>
>>>> Jacob
>>>>
>>>> *******************************************
>>>> Jacob Pearson Keller
>>>> Northwestern University
>>>> Medical Scientist Training Program
>>>> Dallos Laboratory
>>>> F. Searle 1-240
>>>> 2240 Campus Drive
>>>> Evanston IL 60208
>>>> lab: 847.491.2438
>>>> cel: 773.608.9185
>>>> email: [log in to unmask]
>>>> *******************************************
>>>>
>>>> ----- Original Message -----
>>>> From: "Ethan Merritt" <[log in to unmask]>
>>>> To: <[log in to unmask]>
>>>> Sent: Monday, September 08, 2008 3:03 PM
>>>> Subject: Re: [ccp4bb] truncate ignorance
>>>>
>>>>
>>>>       
>>>>> On Monday 08 September 2008 12:30:29 Phoebe Rice wrote:
>>>>>         
>>>>>> Dear Experts,
>>>>>>
>>>>>> At the risk of exposing excess ignorance, truncate 
makes me
>>>>>> very nervous because I don't quite get exactly what 
it is
>>>>>> doing with my data and what its assumptions are.
>>>>>>
>>>>>> From the documentation:
>>>>>> 
========================================================
>>>>>> ... the "truncate" procedure (keyword TRUNCATE YES, 
the
>>>>>> default) calculates a best estimate of F from I, sd
(I), and
>>>>>> the distribution of intensities in resolution shells 
(see
>>>>>> below). This has the effect of forcing all negative
>>>>>> observations to be positive, and inflating the weakest
>>>>>> reflections (less than about 3 sd), because an 
observation
>>>>>> significantly smaller than the average intensity is 
likely
>>>>>> to be underestimated.
>>>>>> 
=========================================================
>>>>>>
>>>>>> But is it really true, with data from nice modern 
detectors,
>>>>>> that the weaklings are underestimated?
>>>>>>           
>>>>> It isn't really an issue of the detector per se, 
although in
>>>>> principle you could worry about non-linear response to 
the
>>>>> input rate of arriving photons.
>>>>>
>>>>> In practice the issue, now as it was in 1977 
(French&Wilson),
>>>>> arises from the background estimation, profile 
fitting, and
>>>>> rescaling that are applied to the individual pixel 
contents
>>>>> before they are bundled up into a nice "Iobs".
>>>>>
>>>>> I will try to restate the original French & Wilson 
argument,
>>>>> avoiding the terminology of maximum likelihood and 
>>>>>         
>>> Bayesian statistics.
>>>     
>>>>> 1) We know the true intensity cannot be negative.
>>>>> 2) The existence of Iobs<0 reflections in the data set 
means
>>>>>   that whatever we are doing is producing some values 
of
>>>>>   Iobs that are too low.
>>>>> 3) Assuming that all weak-ish reflections are being 
processed
>>>>>   equivalently, then whatever we doing wrong for 
reflections with
>>>>>   Iobs near zero on the negative side surely is also 
going wrong
>>>>>   for their neighbors that happen to be near Iobs=0 on 
the positive
>>>>>   side.
>>>>> 4) So if we "correct" the values of Iobs that went 
negative, for
>>>>>   consistency we should also correct the values that 
are nearly
>>>>>   the same but didn't quite tip over into the negative 
range.
>>>>>
>>>>>         
>>>>>> Do I really want to inflate them?
>>>>>>           
>>>>> Yes.
>>>>>
>>>>>         
>>>>>> Exactly what assumptions is it making about the 
expected
>>>>>> distributions?
>>>>>>           
>>>>> Primarily that
>>>>> 1) The histogram of true Iobs is smooth
>>>>> 2) No true Iobs are negative
>>>>>
>>>>>         
>>>>>> How compatible are those assumptions with serious 
anisotropy
>>>>>> and the wierd Wilson plots that nucleic acids give?
>>>>>>           
>>>>> Not relevant
>>>>>
>>>>>         
>>>>>> Note the original 1978 French and Wilson paper says:
>>>>>> "It is nevertheless important to validate this 
agreement for
>>>>>> each set of data independently, as the presence of 
atoms in
>>>>>> special positions or the existence of 
noncrystallographic
>>>>>> elements of symmetry (or pseudosymmetry) may abrogate 
the
>>>>>> application of these prior beliefs for some crystal
>>>>>> structures."
>>>>>>           
>>>>> It is true that such things matter when you get down 
to the
>>>>> nitty-gritty details of what to use as the "expected 
distribution".

>>>>> But *all* plausible expected distributions will be non-
negative
>>>>> and smooth.
>>>>>
>>>>>
>>>>>         
>>>>>> Please help truncate my ignorance ...
>>>>>>
>>>>>>     Phoebe
>>>>>>
>>>>>> 
==========================================================
>>>>>> Phoebe A. Rice
>>>>>> Assoc. Prof., Dept. of Biochemistry & Molecular 
Biology
>>>>>> The University of Chicago
>>>>>> phone 773 834 1723
>>>>>>
>>>>>>           
>>> 
http://bmb.bsd.uchicago.edu/Faculty_and_Research/01_Faculty/0
1
>>> _Faculty_Alphabetically.php?faculty_id=123
>>>     
>>>>>> RNA is really nifty
>>>>>> DNA is over fifty
>>>>>> We have put them
>>>>>>   both in one book
>>>>>> Please do take a
>>>>>>   really good look
>>>>>> http://www.rsc.org/shop/books/2008/9780854042722.asp
>>>>>>
>>>>>>           
>>>>>
>>>>> --
>>>>> Ethan A Merritt
>>>>> Biomolecular Structure Center
>>>>> University of Washington, Seattle 98195-7742
>>>>>
>>>>>         
>>>     
>>
>>
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>>   
Phoebe A. Rice
Assoc. Prof., Dept. of Biochemistry & Molecular Biology
The University of Chicago
phone 773 834 1723
http://bmb.bsd.uchicago.edu/Faculty_and_Research/01_Faculty/01_Faculty_Alphabetically.php?faculty_id=123

RNA is really nifty
DNA is over fifty
We have put them 
  both in one book
Please do take a 
  really good look
http://www.rsc.org/shop/books/2008/9780854042722.asp