Hi Ed,

Fine !

That'll give me time to think a bit more about all that...

Cheers !


Séb  :)



Edward d'Auvergne wrote:
> Hi,
>
> The help wasn't a problem, and don't worry about the length of the
> message - the details will be very useful.  Unfortunately you may need
> to wait a little while as I'll be taking holidays for a week or so,
> starting in 5 minutes time.  I'll have to look at the details after
> that.
>
> Regards,
>
> Edward
>
>
>
> On Fri, May 9, 2008 at 5:45 PM, Sébastien Morin
> <[EMAIL PROTECTED]> wrote:
>   
>> Hi Ed,
>>
>> First, thanks a lot for this help !
>>
>> Second, I have to apologize for the length of this mail...
>>
>>
>> Ok...
>>
>>
>> My system is a 271 residue globular protein (230 residues with data at 3
>> fields = 2070 observables). An homologous protein is being studied in
>> the lab and analysing relaxation data using either the diffusion seeded
>> approach in ModelFree or the new protocol of the full_analysis script
>> yields similar results with a high mean S2 (~0.90) and a few Rex (15-20)
>> throughout the protein. Thus, the problem here with my system is
>> probably external to the approaches and the user...
>>
>>
>> Ok...
>>
>>
>> I tried using ModelFree with relax (script palmer.py : ModelFree as an
>> engine for optimization, but relax for automating and AIC model
>> selection) and got similar results than with the full_analysis.py
>> approach... For the two situations tested (see below), no oscillation
>> occured. Here are some stats :
>>
>> =======================================================================
>> Approach        Diff     Iter  Chi2    AIC     Nb_Rex  <Rex>_+-_StdDev
>> ==============  =======  ====  ======  ======  ======  ===============
>> palmer          prolate  15    ~12990  ~14060  182     1.602_+-_0.770
>>
>> palmer_hybrid   prolate  12    ~ 2715  ~ 3660  129     0.902_+-_0.571
>>
>> full            prolate   5    ~13090  ~14125  181     1.671_+-_0.782
>>
>> full_hybrid     prolate   7    ~ 2750  ~ 3720  145     2.431_+-_1.546
>> =======================================================================
>>
>> It seems that the new protocol is not the source of the problem.
>> Moreover, it is obvious from the AIC value (and also from the diffusion
>> tensor details, not shown here) that the hybrid (without the highly
>> flexible C-terminus) is a better description of the system. However, as
>> is seen here, the Rex values seem quite small and there are way too much
>> Rex (> 50 % of all residues)... These may thus be non significative, but
>> then, how can one exclude such "artifacts" when doing iterative
>> optimization (with either approach)..? How can one decide to choose
>> another model than with Rex when iterating to find the best diffusion
>> tensor..?
>>
>>
>> Ok...
>>
>>
>> Maybe, as you proposed, the problem arises because of the crystal
>> structure being inappropriate for describing the solution structure...
>> The crystal structure I use has a resolution of 1.95 A. Protons were not
>> visible but were added using CHARMM.  Moreover, different snapshots from
>> molecular mechanics in CHARMM were also tested to see if fluctuations in
>> NH bond orientation could yield better optimizations... It was not the case.
>>
>> I'll try to assess this issue of the crystal structure by running tests
>> (with palmer.py and also full_analysis.py approaches) using a different
>> structure (a ponctual mutant) also from crystallography... The
>> resolution of this structure is also quite low (1.75 A). Anyway, I don't
>> have choice since no solution structure exists, neither better crystal
>> structures... If ever the crystal structure is the cause of this
>> problem, what can one do ? Is one obliged to do his analysis with a
>> local_tm or a sphere diffusion tensor ? Is it a waste if on does so with
>> good quality data at three fields ???
>>
>>
>> Ok...
>>
>>
>> What about the AIC for the local_tm model VS the ellipsoid in the
>> full_analysis approach ? Here are some stats :
>>
>> =======================================================================
>> Approach     Models  Diff       AIC
>> ===========  ======  =========  ======
>> full         m1-m5   local_tm   ~ 4510
>> full         m1-m5   ellipsoid  ~12710
>>
>> full         m0-m9   local_tm   ~ 4410
>> full         m0-m9   ellipsoid  ~ 5210
>>
>> full_hybrid  m1-m5   local_tm   ~ 4510
>> full_hybrid  m1-m5   ellipsoid  ~ 4720 *
>>
>> full_hybrid  m0-m9   local_tm   ~ 4410
>> full_hybrid  m0-m9   ellipsoid  ~ 4570 **
>> =======================================================================
>> *  not converged after 35 rounds (oscillates)
>> ** not converged after 26 rounds (oscillates)
>>
>> As said before, the hybrid improves the description of the diffusion,
>> however, there is still a problem : first, the local_tm diffusion is
>> still selected over the ellipsoid (even if the difference is now
>> smaller), second, the ellipsoid optimizations don't converge and
>> oscillate...
>>
>> Now, what about the Rex and slow motions (ts) in the local_tm diffusion
>> ? Here are some stats :
>>
>> =======================================================================
>> Approach     Models  Diff       Nb_Rex  Nb_ts
>> ===========  ======  =========  ======  =====
>> full         m1-m5   local_tm    58      30
>> full         m1-m5   ellipsoid  171      21
>>
>> full         m0-m9   local_tm    63      41
>> full         m0-m9   ellipsoid  144      49
>>
>> full_hybrid  m1-m5   local_tm    58      30
>> full_hybrid  m1-m5   ellipsoid  142 *    28
>>
>> full_hybrid  m0-m9   local_tm    64      41
>> full_hybrid  m0-m9   ellipsoid  145 **   50
>> =======================================================================
>> *  not converged after 35 rounds (oscillates)
>> ** not converged after 26 rounds (oscillates)
>>
>> As you can see, there are way more Rex in the ellipsoid, which probably
>> means that there is a problem with the diffusion tensor... For the slow
>> ns motions, there doesn't seem to be significantly more in the ellipsoid
>> description... Moreover, the sphere diffusion tensor which is not
>> NH-vector-orientation-dependent, also as a high degree of Rex, similar
>> ns motions and AIC values similar (just a bit higher) to what is
>> observed for the ellipsoid :
>>
>> =======================================================================
>> Approach     Models  Diff       Nb_Rex  Nb_ts  AIC
>> ===========  ======  =========  ======  =====  ======
>> full         m1-m5   sphere     191      20    ~15200
>>
>> full         m0-m9   sphere     155      47    ~ 5640
>>
>> full_hybrid  m1-m5   sphere     145      31    ~ 5190
>>
>> full_hybrid  m0-m9   sphere     153      47    ~ 5030
>> =======================================================================
>>
>> Should the sphere diffusion tensor yield similar results as the local_tm
>> ? If there is a major difference between those two, does it mean that
>> concerted motions may be present and that an hybrid model could solve
>> the issue ?
>>
>>
>> Ok...
>>
>>
>> Now, are there concerted motions apparent from the local_tm results..? I
>> plotted the results from the local_tm run after aic model selection
>> (Would it be better if I'd look at the local_tm run for model 1 or 2
>> only ? Can model selection here bias the results ?) and couldn't find
>> any obvious link between different parts of the protein for one or more
>> parameters among S2, S2f, S2s, Rex, te, tf, ts, chi2.
>>
>> However, a small relation seems to exist for the local_tm distribution
>> and the domain (The inverse is seen for the S2, but to a lesser extent.
>> When looking at the tm1 run, the local_tm is also a bit smaller in the
>> same domain [a small difference of 0.5-1.0 ns for values of ~13 ns], but
>> the S2 are similar, which points to a difference for the two domains).
>>
>> My protein is globular, but has two structural domains side by side, an
>> all alpha domain and an alpha/beta domain. In the homologous protein,
>> there seems to exist Rex at the interface (which spans a surface of four
>> 10 residue beta strands, which is big and is expected to be quite
>> rigid). Maybe the two domains are a bit different in my system which
>> could cause the problems I encounter. I'll try to assess this by running
>> full_analysis runs on the different domains alone...
>>
>>
>> Ok...
>>
>>
>> Well, I'm out of idea now... If you have any idea that could help, these
>> will be more than welcome !
>>
>> I hope this discussion can also help other people solving difficulties
>> encountered in their analysis or help them get more information out of
>> their system...
>>
>> Thanks a lot once more !
>>
>> Cheers !
>>
>>
>>
>> Sébastien
>>
>>
>> P.S. Again, sorry for the length of the mail...
>>
>>
>>
>>
>>
>>
>>
>>
>>
>>
>>
>> Edward d'Auvergne wrote:
>>     
>>> Hi,
>>>
>>> I've been thinking about this one for a while, but I don't know
>>> exactly what the problem is.  I have a few ideas that may help though.
>>>  This could either be some type of interesting dynamics, or be caused
>>> by something a bit more sobering.
>>>
>>> Firstly though, it is worth comparing the local tm model to the best
>>> of the global diffusion tensor models (the ellipsoid).  It could be
>>> that if the AIC values are similar, then the local tm model and the
>>> global diffusion model are statistically similar and that it would be
>>> safe to go with either.  In this case, it is worth very carefully
>>> comparing the description of the internal dynamics.  For this, do not
>>> compare selected models - that is not what is of interest.  It should
>>> be the overall picture of the dynamics reported by the parameters.
>>> For example if Rex is statistically close to zero then, from the
>>> perspective of the internal motions, models m2 and m4 are the same.
>>>
>>> Assuming that the local tm global model is significantly better than
>>> the other models, another option could be that you have very
>>> interesting global concerted dynamics occurring in the molecule.  This
>>> would mean that the standard single global diffusion model (sphere,
>>> spheroid, or ellipsoid) is insufficient to describe these motions.
>>> This is what the hybrid models in relax were designed for, but maybe
>>> these don't describe certain large scale motions well enough (hence
>>> your use of these didn't resolve the problem).  These aren't a proper
>>> mathematical solution to the complex physics of coupled diffusion
>>> processes and hence may be insufficient.
>>>
>>> It might be worth trying the normal model-free analysis of starting
>>> with the diffusion tensor, rather than my new technique which starts
>>> with the internal dynamics, to see if you end up with a different
>>> result.  It could be that the new technique in the full_analysis.py
>>> script is somehow failing, although I doubt that will be the case.
>>> The oscillation you see in point 3 is found by using Art Palmer's
>>> Modelfree program as well with a standard analysis - this was one of
>>> the motivators for me to start looking into and fixing problems with
>>> model-free analysis - but it is inherent to the iterative procedure
>>> required for convergence.  Have you tried the analysis with Modelfree
>>> or Dasha?  And if so, how do the chi-squared and AIC values compare?
>>>
>>> Alternatively, the reason could be quite simple.  It could possibly be
>>> that the structure you have used in the analysis is not accurate
>>> enough.  If it is a crystal structure, maybe it doesn't represent the
>>> solution structure well.  The analysis is highly dependent upon the XH
>>> bond vector orientations, and if this is slightly out it could cause a
>>> bias and the introduction of artificial motions (either Rex or
>>> nanosecond motions).  It will also affect the determination of the
>>> diffusion tensor.  These artificial motions are unlikely to be present
>>> in the local tm model though, so this is a good check.
>>>
>>> The Rex in the ellipsoid model is an indication that something could
>>> be wrong with the global model.  Whether it is interesting large scale
>>> motions which are insufficiently described by the ellipsoid, whether
>>> the technique cannot find the real solution, or whether this is caused
>>> by structural inaccuracies, that I cannot tell.  Is the structure of
>>> the protein released?  What is the system which is being studied?
>>> What are the AIC values like for each global model?  Anyway, hopefully
>>> one of these ideas may be of help in sorting out the problem.
>>>
>>> Regards,
>>>
>>> Edward
>>>
>>>
>>>
>>>
>>>
>>> On Mon, May 5, 2008 at 9:23 PM, Sébastien Morin
>>> <[EMAIL PROTECTED]> wrote:
>>>
>>>       
>>>> Hi,
>>>>
>>>>  I am currently using relax with the full_analysis.py script.
>>>>
>>>>  I face several problems for which I can't find any solution...
>>>>
>>>>  1.
>>>>  With all my data (230 residues at 3 fields, for a total of 2070
>>>>  observables), the best diffusion model is the local tm. This is not
>>>>  normal as this protein is globular. Hence, the C-terminus residues have
>>>>  really high chi2 values... Thus, when excluding the C-terminus, the best
>>>>  diffusion model is still the local tm. Maybe some other residues are
>>>>  highly flexible and should be rejected... Maybe also some residues have
>>>>  bad data... What is a good strategy to find residues I should exclude
>>>>  from my analysis ?
>>>>
>>>>
>>>>  2.
>>>>  When I look at optimized results from the ellipsoid runs (second best
>>>>  choice after local tm), I see lots (~ 50 % residues) of Rex, which is a
>>>>  bit anoying... The diffusion tensor may not be well optimized... This
>>>>  may be related to problem 1...
>>>>
>>>>
>>>>  3.
>>>>  In different situations, some runs (prolate or ellipsoid, i.e. the
>>>>  diffusion tensor that should best describe my system) never converge and
>>>>  oscillate between 2 or more AIC values. Some residues oscillate between
>>>>  2 or more models, but these residues are not special as to their
>>>>  relaxation data or position in the protein...
>>>>
>>>>
>>>>  Consistency testing and reduced spectral density mapping show that my
>>>>  data are of good quality and are consistent with each other...
>>>>
>>>>  I tried with different structures (crystal structure with added protons,
>>>>  MM snapshots), but always got the same kind of results...
>>>>
>>>>  I tried several hybrids (with no C-ter, with no C-ter and several loops,
>>>>  etc), but always got the same kind of results...
>>>>
>>>>  Also, chi2 values are quite high for most residues (5-20 on average)...
>>>>
>>>>  What should I do now ? Do you have any idea ?
>>>>
>>>>  Thanks a lot for any help or idea !!!!!!!
>>>>
>>>>
>>>>  Exhausted Séb
>>>>
>>>>  _______________________________________________
>>>>  relax (http://nmr-relax.com)
>>>>
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>>>>
>>>>
>>>>         
>>>       
>>     
>
>   



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