mailRe: Diffusion Tensor - Global correlation time


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Posted by Sebastien Morin on October 04, 2006 - 19:22:
Salut Edward !

I remember your poster in Goettingen as I brought a reprint home...

That answer is totally what I needed !

Thanks


Sébastien





Edward d'Auvergne wrote:
Hi,

That is good question.  I have to warn you though that my opinion is
going to be very heavily biased!  Essentially the way that model-free
analysis has been implemented over the last 17 years or so (since the
publication of Kay et al., 1989) is as follows:

1.  Estimate the Brownian rotational diffusion tensor.
2.  Hold the diffusion tensor fixed and optimise each model-free model.
3.  Model-free model selection (in my opinion this is best done using
AIC model selection ;).
4.  Optimisation of the diffusion tensor parameters together with the
parameters of the selected model-free model.
5.  Repeat the steps, using the final optimised diffusion tensor as
the starting point of the next iteration, until 'convergence'.

On top of this I have recently proposed an additional step prior to
'model-free model selection' called 'model-free model elimination' to
remove failed model-free models.  The most common way of carrying out
step 1 is to use the R2/R1 ratio (Kay et al., 1989).  relax can not
only implement this data analysis chain but, due to it's modularity
and flexibility, it can also implement many of the different published
variations to this approach.

There is a sample script called 'full_analysis.py' distributed with
relax which implements a radically different approach to Kay's
paradigm.  Rather than starting with the diffusion tensor and ending
with the model-free parameters, this new model-free optimisation
protocol applies this logic in reverse.  It starts by optimising the
model-free models and finishes by optimising the diffusion tensor.
The benefits of this approach is that it avoids the pitfalls of
obtaining the initial diffusion tensor estimate, avoids the hidden
motion problem (Orekhov et al., 1995, Orekhov et al., 1999a, Orekhov
et al., 1999b), and avoids under-fitting (which causes artificial
motions to appear).

I presented this new protocol on a poster at the 2006 ICMRBS
conference in Goettingen and I currently have a number of submitted
manuscripts which, unfortunately, are not published yet.  These papers
will demonstrate the application and performance of the new model-free
optimisation protocol.  However all the steps of the analysis are
described in fine detail at the start of the 'full_analysis.py'
script.

Sorry about all that biased, unpublished opinion.  In summary relax
can be used to implement most of the data analysis protocols in the
literature.  I hope that answers your question.

Edward


References:
Kay, L. E., Torchia, D. A., and Bax, A. (1989) Biochem. 28(23),
8972-8979.
Orekhov, V. Y., Korzhnev, D. M., Diercks, T., Kessler, H., and
Arseniev, A. S. (1999a) J. Biomol. NMR 14(4), 345-356.
Orekhov, V. Y., Korzhnev, D. M., Pervushin, K. V., Hoffmann, E., and
Arseniev, A. S. (1999b) J. Biomol. Struct. Dyn. 17(1), 157-174.
Orekhov, V. Y., Pervushin, K. V., Korzhnev, D. M., and Arseniev, A. S.
(1995) J. Biomol. NMR 17(1), 157-174.



On 10/5/06, Sebastien Morin <sebastien.morin.1@xxxxxxxxx> wrote:
Hi !

I have a question about the diffusion tensor and the global correlation
time.

Palmer proposes to estimate the diffusion tensor and global correlation
tensor as what follows :

1. Use pdbinertia with the 3D structure to get the moments of inertia.

2. Use r2r1_diffusion with the R2/R1 values and 3D structure to estimate
the diffusion tensor type and values (isotropic, axial, anisotropic,
Diso, Dpar, Dper, etc) and associated global correlation time (tm).

3. Confirm these values obtained by r2r1_diffusion with quadric using
local correlation times obtained with r2r1_tm.

When one possesses estimated values for his molecule, the next step is
to use Model-Free with those values and select the models. At the end, a
global optimization is performed (the diffusion tensor and the global
correlation time are then optimized)...

===========

What is the best way to estimate (and optimize) the diffusion tensor and
global correlation time using the relax approach ?

Thanks for helping me getting started with this promising program !


Séb



-- 

         ______________________________________
     _______________________________________________
    |                                               |
   || Sebastien Morin                               ||
  ||| Etudiant au doctorat en biochimie             |||
 |||| Laboratoire de resonance magnetique nucleaire ||||
||||| Dr Stephane Gagne                             |||||
 |||| CREFSIP (Universite Laval)                    ||||
  ||| 1-418-656-2131 poste 4530                     |||
   || sebastien.morin.1@xxxxxxxxx                   ||
    |_______________________________________________|
         ______________________________________



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-- 

         ______________________________________    
     _______________________________________________
    |                                               |
   || Sebastien Morin                               ||
  ||| Etudiant au doctorat en biochimie             |||
 |||| Laboratoire de resonance magnetique nucleaire ||||
||||| Dr Stephane Gagne                             |||||
 |||| CREFSIP (Universite Laval)                    ||||
  ||| 1-418-656-2131 poste 4530                     |||
   || sebastien.morin.1@xxxxxxxxx                   ||
    |_______________________________________________|
         ______________________________________    





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