Hi Edward.

Can you point to any reference, where kex is measured at higher values?

I see no logic in having linear constraints for a search space higher
than physically possible?

The edge cases you mention (https://gna.org/bugs/?22024) is a very good example.
I later learned for this case, that data was acquired at 3 different
temperatures, to allow for robust interpretation of the data.

Best
Troels

2014-08-19 10:58 GMT+02:00 Edward d'Auvergne <[email protected]>:
> Hi Troels,
>
> I am unable to download that reference and the book with the reference
> in Goettingen is 500 km away from where I am now.  Would you be able
> to send me a copy in a private mail?  Cheers.
>
> I'm not convinced that this change should be made.  The constraint of
> 1e6 was simply a large upper bound whereby no exchange should be
> visible.  The constraint is used to prevent kex from heading out to
> infinity.  So changing it to 1e4 or 1e5 will have no effect on this
> purpose of the constraint.
>
> What worries me here is that although exchange is very close to zero
> at these new limits, they are not exactly zero.  This is especially
> the case for data with very, very small errors (test data with zero
> errors will show this).  So the edge cases you have mapped out with
> OpenDX (https://gna.org/bugs/?22024 for example) will be highly
> effected by such a change.  But this would be an edge case on the
> other side of the space.  The new limits could chop a very weak
> minimum out of the optimisation space - i.e. you've put up a wall in
> front of these weak minima.  This is a very weak edge case, but it
> nevertheless exists.  As the purpose of the constraint is simply to
> stop kex from going to infinity, loosing these special edge case
> minima is not worth it.  I would suggest reverting this change.
>
> Cheers,
>
> Edward
>
>
>
> On 15 August 2014 15:11,  <[email protected]> wrote:
>> Author: tlinnet
>> Date: Fri Aug 15 15:11:00 2014
>> New Revision: 25024
>>
>> URL: http://svn.gna.org/viewcvs/relax?rev=25024&view=rev
>> Log:
>> Modified the Linear Constraints for the exchange rates.
>>
>> For CPMG, the maximum kex should be 10^4, and for R1rho it should be 10^5.
>> This is altered from the value of 10^6.
>>
>> The suggested restraints for 'kex' follows from article, on page 224:
>>
>> Nuclear Magnetic Resonance Methods for Quantifying 
>> Microsecond-to-Millisecond Motions in Biological Macromolecules.
>> Palmer-III, Arthur G., Kroenke, Christopher D., Loria, J. Patrick
>> Nucl. Magn. Reson. Biol. Macromol. B, 2001, Vol: 339, pages 204-238.
>> U{DOI: 
>> 10.1016/S0076-6879(01)39315-1<http://dx.doi.org/10.1016/S0076-6879%2801%2939315-1>}
>>
>> Modified:
>>     trunk/specific_analyses/relax_disp/parameters.py
>>
>> Modified: trunk/specific_analyses/relax_disp/parameters.py
>> URL: 
>> http://svn.gna.org/viewcvs/relax/trunk/specific_analyses/relax_disp/parameters.py?rev=25024&r1=25023&r2=25024&view=diff
>> ==============================================================================
>> --- trunk/specific_analyses/relax_disp/parameters.py    (original)
>> +++ trunk/specific_analyses/relax_disp/parameters.py    Fri Aug 15 15:11:00 
>> 2014
>> @@ -34,7 +34,7 @@
>>  from pipe_control import pipes
>>  from pipe_control.mol_res_spin import exists_mol_res_spin_data, return_spin
>>  from specific_analyses.relax_disp.data import count_spins, 
>> generate_r20_key, has_exponential_exp_type, loop_cluster, loop_exp_frq
>> -from specific_analyses.relax_disp.variables import MODEL_LIST_MMQ, 
>> MODEL_M61B, MODEL_NS_MMQ_3SITE, MODEL_NS_MMQ_3SITE_LINEAR, 
>> MODEL_NS_R1RHO_3SITE, MODEL_NS_R1RHO_3SITE_LINEAR, PARAMS_R20
>> +from specific_analyses.relax_disp.variables import 
>> MODEL_LIST_ANALYTIC_R1RHO, MODEL_LIST_CPMG_ONLY, MODEL_LIST_MMQ, 
>> MODEL_LIST_NUMERIC_R1RHO, MODEL_M61B, MODEL_NS_MMQ_3SITE, 
>> MODEL_NS_MMQ_3SITE_LINEAR, MODEL_NS_R1RHO_3SITE, 
>> MODEL_NS_R1RHO_3SITE_LINEAR, PARAMS_R20
>>
>>
>>  def assemble_param_vector(spins=None, key=None, sim_index=None):
>> @@ -435,6 +435,12 @@
>>  def linear_constraints(spins=None, scaling_matrix=None):
>>      """Set up the relaxation dispersion curve fitting linear constraint 
>> matrices A and b.
>>
>> +    The suggested restraints for 'kex' follows from article, on page 224:
>> +    Nuclear Magnetic Resonance Methods for Quantifying 
>> Microsecond-to-Millisecond Motions in Biological Macromolecules.
>> +    Palmer-III, Arthur G., Kroenke, Christopher D., Loria, J. Patrick
>> +    Nucl. Magn. Reson. Biol. Macromol. B, 2001, Vol: 339, pages 204-238.
>> +    U{DOI: 
>> 10.1016/S0076-6879(01)39315-1<http://dx.doi.org/10.1016/S0076-6879%2801%2939315-1>}.
>> +
>>      Standard notation
>>      =================
>>
>> @@ -453,12 +459,12 @@
>>          phi_ex_C >= 0
>>          padw2 >= 0
>>          dw >= 0
>> -        0 <= kex <= 2e6
>> -        0 <= k_AB <= 2e6
>> -        0 <= kB <= 2e6
>> -        0 <= kC <= 2e6
>> +        0 <= kex <= 1e4, for CPMG
>> +        0 <= kex <= 1e5, for R1rho
>> +        0 <= k_AB <= 1e4
>> +        0 <= kB <= 1e4
>> +        0 <= kC <= 1e4
>>          tex >= 0
>> -        k_AB >= 0
>>
>>
>>      Matrix notation
>> @@ -502,19 +508,22 @@
>>          |         |     |          |      |         |
>>          | 1  0  0 |     |   kex    |      |    0    |
>>          |         |     |          |      |         |
>> -        |-1  0  0 |     |   kex    |      |  -2e6   |
>> +        |-1  0  0 |     |   kex    |      |-1e4/-1e5|
>> +        |         |     |          |      |         |
>> +        | 1  0  0 |     |   k_AB   |      |    0    |
>> +        |         |     |          |      |         |
>> +        |-1  0  0 |     |   k_AB   |      |  -1e4   |
>>          |         |     |          |      |         |
>>          | 1  0  0 |     |    kB    |      |    0    |
>>          |         |     |          |      |         |
>> -        |-1  0  0 |     |    kB    |      |  -2e6   |
>> +        |-1  0  0 |     |    kB    |      |  -1e4   |
>>          |         |     |          |      |         |
>>          | 1  0  0 |     |    kC    |      |    0    |
>>          |         |     |          |      |         |
>> -        |-1  0  0 |     |    kC    |      |  -2e6   |
>> +        |-1  0  0 |     |    kC    |      |  -1e4   |
>>          |         |     |          |      |         |
>>          | 1  0  0 |     |   tex    |      |    0    |
>>          |         |     |          |      |         |
>> -        | 1  0  0 |     |   k_AB   |      |    0    |
>>
>>
>>      @keyword spins:             The list of spin data containers for the 
>> block.
>> @@ -628,14 +637,21 @@
>>                      j += 1
>>                      break
>>
>> -        # Exchange rates and times (0 <= k <= 2e6).
>> +        # Exchange rates and times (0 <= k <= 1e4) for CPMG and (0 <= k <= 
>> 1e5) for R1rho.
>>          elif param_name in ['kex', 'kex_AB', 'kex_AC', 'kex_BC', 'k_AB', 
>> 'kB', 'kC']:
>>              A.append(zero_array * 0.0)
>>              A.append(zero_array * 0.0)
>>              A[j][param_index] = 1.0
>>              A[j+1][param_index] = -1.0
>>              b.append(0.0)
>> -            b.append(-2e6 / scaling_matrix[param_index, param_index])
>> +            # For CPMG experiments, (0 <= k <= 1e4).
>> +            if spins[0].model in MODEL_LIST_CPMG_ONLY + MODEL_LIST_MMQ:
>> +                b.append(-1e4 / scaling_matrix[param_index, param_index])
>> +            # For R1rho experiments, (0 <= k <= 1e5).
>> +            elif spins[0].model in MODEL_LIST_ANALYTIC_R1RHO + 
>> MODEL_LIST_NUMERIC_R1RHO:
>> +                b.append(-1e5 / scaling_matrix[param_index, param_index])
>> +            else:
>> +                b.append(-2e6 / scaling_matrix[param_index, param_index])
>>              j += 2
>>
>>          # Exchange times (tex >= 0).
>>
>>
>> _______________________________________________
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>
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