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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