mailRe: Addition of PDC support to relax 1.3.10 and an inconsistency in the error calculation.


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Posted by Dr. Klaus-Peter Neidig on February 21, 2011 - 15:25:
Dear Edward,

please see below.

On 2/21/2011 12:38 PM, Edward d'Auvergne wrote:
Dear Peter,

Please see below:


On 21 February 2011 09:51, Dr. Klaus-Peter Neidig
<peter.neidig@xxxxxxxxxxxxxxxxx> wrote:
Dear Edward,

I'm running a current of output files today and send them.

The error of a ratio of numbers y = a/b with given aErr, bErr is
yErr = sqrt [ (aErr/a)^2 + (bErr/b)^2], which for a=1 and aErr=0 is
yErr = bErr/b

Does this correspond to yout notation ?
This is not quite right, for example see the NOE error formula on page
5988 of the Farrow et al, Biochem. (1994), 33, 5984-6003 reference.
The formula should be:

yErr/y = sqrt [ (aErr/a)^2 + (bErr/b)^2].

For a=1 and aErr=0, the formula will then be:

yErr/y = bErr/b.

In the case of the R1:

sigma_R1 / R1 = sigma_T1 / T1,

or:

sigma_R1 = sigma_T1 / T1^2,
sigma_R1 = sigma_T1 * R1^2.

There is a chance that this formula from the Kay paper is incorrect.
I've been trying to find another reference, one that I found a long
time ago, but I can't find it any more.  Do you have a reference for
the yErr = sqrt [ (aErr/a)^2 + (bErr/b)^2] formula?  This does not
explain the differences though, they are even more pronounced using
yErr = sqrt [ (aErr/a)^2 + (bErr/b)^2].



sorry, I forgot to multiply with the  y value, so
yErr = y * (bErr/b)

as you write.



      
The fit error determination in the PDC depends on the method the user has chosen. Under the
tag Fit parameter Error estimation method: the options are
- from fit using arbitray y uncertainties
- from fit using calculated y uncertainties
- from Monte Carlo simulations
Which of these does the "SECTION:  used integral errors" belong to?
This section appears to be errors associated with each peak intensity
from "SECTION:  used integrals".  I simply took these to be individual
peak errors and then performed standard Monte Carlo simulations on
these.  Each peak appears to have a different error, but does "Fit
parameter Error estimation method:  from fit using arbitray y
uncertainties" means one error for all peaks?

Perhaps the label "used integral errors" is a misleading. We could just leave out the word "used".
If these errors are used or not during the fit depends on the chosen fit error calculation. The way you
used the error would be "- from fit using calculated y uncertainties" but the sample output files I had
sent so far used the option "-from fit using arbitray y uncertainties". In the mean I made a comparison
and the differences in these methods is about those you see. I have a bug somewhere else in the code
which I must fix first, then I will send new output files that all used "- from fit using calculated y uncertainties".
The first option (~ one error for all peaks) is normally not recommended but described in most books
and there may be cases to use, e.g. if there is no reasonable y error calculation from the data.



      
The first 2 are offered by the our standard Marquardt implementation.
The Levenberg-Marquardt optimisation and Monte Carlo simulations are
two unrelated techniques, one is for optimisation, the other for error
propagation.  A very low quality error estimation method comes from
the covariance matrix.  So one can use Levenberg-Marquardt (or any
other optimisation algorithm) and then determine the errors using the
covariance matrix defined at the solution.  I don't understand the
differences in the error estimation methods in the PDC :S


The first option assumes the same
error for all y values. This then cancales out of the formula, therefore we call it arbitrary.
But this could be used for either the Monte Carlo simulations or the
covariance matrix error estimation methods.  In relax, this is used in
combination with MC simulations.


      
The second option uses the y errors as determined before. As we discussed earlier the base plane RMS
is one source for these errors the other is from optional repetition experiments. If repetition experiments
are available the systematic error can be calculated as:
- worst case per peak scenario
- average variance calculation
As I showed using theoretical examples in
https://mail.gna.org/public/relax-devel/2010-11/msg00027.html (data,
python and _javascript_s are attached to https://gna.org/task/?7180),
the 2 worst case per peak methods on average significantly
overestimate the errors, and have huge variances meaning that the real
errors compared to the estimates are multiplied by a normal
distribution of 1.594+/-0.852.  So 95% of the estimates from
duplicated spectra (assuming a normal distribution) will be scaled by
a factor between -0.11 and 3.298!  This type of error estimate would
be fatal for subsequent model-free analysis.

Therefore in relax we will need to catch "Systematic error estimation
of data:  worst case per peak scenario" and re-perform the relaxation
curve-fitting and Monte Carlo simulations.  Or maybe throw an in relax
error and tell the user that they must go back to the PDC and use
"average variance calculation" with "Monte Carlo simlautions".  In the
example file you sent
(http://svn.gna.org/viewcvs/relax/1.3/test_suite/shared_data/pdc_files/testT1.txt?revision=12551&view=markup),
it says "Fit parameter Error estimation method:  from fit using
arbitray y uncertainties".  Above you said that this corresponds to 1
error for all peaks.  But you described in
https://mail.gna.org/public/relax-devel/2010-11/msg00021.html that the
current "worst case per peak scenario" method in the PDC uses a
different estimate for each peak.  The file also says "Random error
estimation of data: RMS per spectrum (or trace/plane)".  So I am quite
confused as to how to interpret the data.  Where do I read the peak
intensity errors from?


We had the discussion before and as a result I implemented the average variance method as you
suggested. We can The default value is however set to the first option since in older PDC versions
this was the only option and I did not want that users suddenty get different results if they overlook
this detail. However, in the documentation we can more explicitly describe this and recommend the
average variance option.
The test output files I have sent so far calculated the fit parameter errors via from fit using arbitray y uncertainties.
This option was chosen accidentally. The error there is different from the other 2 methods. Perhaps it is
a better idea to generate a new set of output files using the option "from fit using calculated y uncertainties".
That usually compares well with MC simulations.
What is the "from fit using calculated y uncertainties"?  Is this the
covariance matrix technique for error estimation?  For simple single
exponentials, the covariance matrix technique and Monte Carlo
simulations should not be too different, I hope.  How does this
combine with "worst case per peak scenario" and "average variance
calculation"?


Marquardt internally uses a covariance matrix technique. I do not fully understand the problem. One thing
is to get y values and errors of y values.
The y values are used to fit a function. When doing this the determined y errors can be used or not.


      
In the PDC I do 1000 MC simulations such that a vary the
y values based on a gaussian random distribution, the mean is the original y, the width is the error of y.
You mean you take the back-calculated y value and randomise this 1000
times with a Gaussian distribution centred at the back-calculated y
with an error set to the peak intensity error?  If you take the
original y, this is not Monte Carlo simulations but Bootstrapping - a
technique which should never be used for error estimation.  Well, you
can use bootstrapping for a direct calculation of values, but never
for optimised values.

No, we do not take back-calculated y values and randomise these. We take the original y
values, randomise them and use them as input for the fit. I
I'm now confused by myself about what you write but you are certainly more experienced in
these fields.

I am quite confused.  The way I see the analysis, using the notations
from the statistics and optimisation fields, there are the following
categories:

Peak intensity notation:
  - Height (the physical height of the Lorentizian peak at its mean,
or maximum point)
  - Volume (sum of all points, i.e. the discrete integration of the Lorentizian)
  - Height (as above but via fitting peak shape to a function)
  - Volume (as above but via fitting peak shape to a function)

Peak errors:
  - 1 average error for all peaks (from some spectra duplicated,
triplicated, etc.)
  - 1 max error for all peaks (largest ever occurring difference)
  - 1 average error for all peaks in one spectrum (only if all spectra
are duplicated)
  - 1 max error for each peak across all spectra (current "worst case
per peak scenario"?).
  - Each peak has a different error (from the baseplane RMSD)

Optimisation methods:
  - Levenberg-Marquardt
  - Simplex
  - Newton
  - etc.

Error estimation methods:
  - Covariance matrix (bad)
  - Jackknife (also bad)
  - Bootstrapping (never to be used with optimisation)
  - Monte Carlo simulations (considered the gold standard)
  - etc.

I am having trouble classifying the PDC file
http://svn.gna.org/viewcvs/relax/1.3/test_suite/shared_data/pdc_files/testT1.txt?revision=12551&view=markup
into these categories.  This is very, very confusing :S

Regards,

Edward
.
In Summary the PDC does:
1. Determine all y (4 options available)

2. Determine all y errors. RMS calculation can always be done. If repetition experiments are available
    they are used and errors are calculated from those (2 options available) and added. The errors coming
   from the RMS calculation and the ones coming from the repetitions were assumed to be independent.
   The latter is usually much larger.
   The output contains only the total error not the individual contributions. If no repetition experiments are
   available the error came from RMS only.

3. The y values are used for fitting. The y errors can be used by Marquardt which internally does a covariance
    type analysis but they may also be replaced by a "unique" error used for all peaks. As a third option the
    Marquardt can be run N times with randomised y values and using the "unique" error for all peaks.

I would suggest the following:

Below is a testT1_rel.txt made this morning. It used the errors of y as given in the section "used integral errors".
Perhaps you can re-run your script and check the ratio of your and our errors.

If the differences in the errors remain I have to talk to some people here because I cannot just change major
things in the code. I have to report to a responsible person and he finally tells me what I should do. There are
some people here with  "simulation experience". What really surprises me at the moment is that several people
used the PDC (and its newer sections) and compared fits and errors to other programs and did not report
problems to me.

Best regards,
Peter
   


--
E-Mail Signatur Bruker Coporation (Bruker BioSpin) V0.2

Dr. Klaus-Peter Neidig
Software Development / Head of Analysis Group

Bruker BioSpin GmbH
Silberstreifen
76287 Rheinstetten, Germany

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$##1.0

Project:        Dynamic method/T1
Date:           Monday, February 21, 2011 11:34:57 AM
User:           neidig
Computer:       moertel2
generated by:   ProteinCenter 1.1.5 (2011 Feb/21)


SECTION:         sample information 
sample name:     ubiquitine
Description/Title:       standard demo sample
Origin:  in-house
Date of preparation:     06 / 2005
Solvent:         90% H2O + 10% D2O
pH:      7.0
Sample tube:     normal 
Tube diameter (mm):      3
Concentration (mM):      10.00
Temperature (K):         308.0
Weight (Daltons):        8900
Correlation time (ns):   12.40
Labelling:       15N    
AminoAcid storage:       FASTA file 
AminoAcid file:  E:\data\dynamic\nmr\sample_ber\ubi_fasta_.txt
         0   M Q I F V K T L T G 
         10  K T I T L E V E P S 
         20  D T I E N V K A K T 
         30  Q D K E G I P P D Q 
         40  Q R L I F A G K Q L 
         50  E D G R T L S D Y N 
         60  I Q K E S T L H L V 
         70  L R L R G G 
PDB file:        E:\data\dynamic\nmr\sample_ber\1UBQ_H.pdb


SECTION:         relevant parameters
Proton frequency[MHz]:   600.130
X nucleus frequency[MHz]:        60.811


SECTION:         used integrals
Mixing time [s]:               0.01000000              0.05000000             
 0.10000000              0.10000000              0.20000000              
0.30000000              0.40000000              0.50000000              
0.50000000              0.70000000              1.00000000              
1.50000000
Peak name                     I0                      I1                      
I2                      I3                      I4                      I5    
                  I6                      I7                      I8          
            I9                     I10                     I11
    Gln [2]       188221907.00000000      170715850.00000000      
155029756.00000000      153590916.00000000      122823911.00000000      
99589044.00000000       80386192.00000000       64045596.00000000       
63158976.00000000       41739761.00000000       21211820.00000000       
7618632.00000000
    Ile [3]       181874689.00000000      165473246.00000000      
147666938.00000000      148524160.00000000      116288129.00000000      
92254697.00000000       73753362.00000000       57608294.00000000       
58646397.00000000       35733527.00000000       18548893.00000000       
6005615.00000000
    Phe [4]       147736300.00000000      133647904.00000000      
117589408.00000000      119154699.00000000      93381858.00000000       
74435015.00000000       58156869.00000000       46568010.00000000       
47185417.00000000       29618171.00000000       14448174.00000000       
4475585.00000000
    Val [5]       172103680.00000000      157977126.00000000      
138726372.00000000      139593108.00000000      110181985.00000000      
90727929.00000000       71825742.00000000       57015817.00000000       
56609499.00000000       36754012.00000000       18636098.00000000       
5915940.00000000
    Lys [6]       184837364.00000000      169841476.00000000      
149555131.00000000      149561168.00000000      118207658.00000000      
96525000.00000000       75218229.00000000       60520977.00000000       
60785249.00000000       39232235.00000000       19053059.00000000       
5911738.00000000
    Thr [7]       192406245.00000000      178220844.00000000      
161282534.00000000      159685797.00000000      128408433.00000000      
102309141.00000000      82353495.00000000       64542680.00000000       
64903073.00000000       41463111.00000000       21578782.00000000       
6967174.00000000
    Leu [8]       130796113.00000000      119302010.00000000      
106222149.00000000      106097448.00000000      83896652.00000000       
70313374.00000000       53594025.00000000       43359729.00000000       
41922537.00000000       28564305.00000000       15169905.00000000       
5118688.00000000
    Thr [9]       80828873.00000000       73551278.00000000       
65538757.00000000       66204377.00000000       53767038.00000000       
47027898.00000000       36774364.00000000       30312041.00000000       
30297906.00000000       20279013.00000000       11447427.00000000       
4398465.00000000
   Gly [10]       196444267.00000000      181408096.00000000      
163517301.00000000      163740568.00000000      128910461.00000000      
110597233.00000000      87159892.00000000       70063736.00000000       
70482549.00000000       46864957.00000000       24391496.00000000       
9338526.00000000
   Lys [11]       204925786.00000000      188156171.00000000      
170725817.00000000      171664068.00000000      138396013.00000000      
118623502.00000000      93100167.00000000       75589849.00000000       
76549623.00000000       51775645.00000000       28245193.00000000       
10511265.00000000
   Thr [12]       155972063.00000000      145124644.00000000      
130533396.00000000      127649681.00000000      101133311.00000000      
86240669.00000000       66791444.00000000       53655693.00000000       
53809611.00000000       35330827.00000000       19018799.00000000       
6964352.00000000
   Ile [13]       149073156.00000000      137648890.00000000      
121932973.00000000      123353789.00000000      96407727.00000000       
76851948.00000000       61598849.00000000       48577923.00000000       
49077995.00000000       31877412.00000000       16991567.00000000       
5467033.00000000
   Thr [14]       203826075.00000000      186670441.00000000      
168914930.00000000      167411869.00000000      133044702.00000000      
109541506.00000000      85994201.00000000       68565235.00000000       
69031018.00000000       45706119.00000000       23389399.00000000       
7601632.00000000
   Leu [15]       158283516.00000000      143893232.00000000      
129676769.00000000      126021573.00000000      100668023.00000000      
80726932.00000000       65125997.00000000       51373700.00000000       
52088949.00000000       33239768.00000000       16461249.00000000       
6296729.00000000
   Glu [16]       225963215.00000000      212325157.00000000      
184562498.00000000      190140009.00000000      151892701.00000000      
126339896.00000000      99325730.00000000       81217506.00000000       
81240784.00000000       54639685.00000000       29386089.00000000       
10259760.00000000
   Val [17]       195330282.00000000      178537519.00000000      
158540567.00000000      160266729.00000000      126175260.00000000      
101759540.00000000      79347988.00000000       63317661.00000000       
64053890.00000000       40731679.00000000       20747332.00000000       
6415007.00000000
   Glu [18]       170100664.00000000      158220566.00000000      
142372202.00000000      139627085.00000000      112860869.00000000      
92924818.00000000       74749975.00000000       60510520.00000000       
61354983.00000000       40540113.00000000       20870964.00000000       
7150110.00000000
   Ser [20]       206667085.00000000      188202370.00000000      
166114180.00000000      167053174.00000000      133269379.00000000      
108489522.00000000      84123329.00000000       68266768.00000000       
68204704.00000000       45122277.00000000       22960355.00000000       
7920875.00000000
   Asp [21]       252093784.00000000      225735737.00000000      
202161335.00000000      202677240.00000000      161698292.00000000      
126351595.00000000      101096108.00000000      79184293.00000000       
79308447.00000000       48641599.00000000       24186094.00000000       
7537456.00000000
   Thr [22]       158822828.00000000      145220679.00000000      
127802315.00000000      129052997.00000000      101234270.00000000      
82890557.00000000       64809612.00000000       51810263.00000000       
52344521.00000000       33530186.00000000       16842055.00000000       
4971973.00000000
   Ile [23]       139165254.00000000      127183675.00000000      
110164756.00000000      112050649.00000000      84417439.00000000       
70125039.00000000       53337849.00000000       41514679.00000000       
40799801.00000000       25947688.00000000       12321715.00000000       
3665780.00000000
   Asn [25]       169208205.00000000      152364736.00000000      
135523059.00000000      136722043.00000000      106644958.00000000      
85414773.00000000       65883737.00000000       51375755.00000000       
52188109.00000000       32845424.00000000       15842467.00000000       
4256425.00000000
   Val [26]       235646394.00000000      218394909.00000000      
188839431.00000000      194279364.00000000      151892701.00000000      
126773388.00000000      102004963.00000000      83226525.00000000       
81710722.00000000       55222728.00000000       30058947.00000000       
10939380.00000000
   Lys [27]       146466511.00000000      134446433.00000000      
117952859.00000000      119287488.00000000      93539795.00000000       
75379248.00000000       58082109.00000000       45800415.00000000       
45733428.00000000       29030393.00000000       14369955.00000000       
3967653.00000000
   Ala [28]       183087389.00000000      166098382.00000000      
148631233.00000000      146815888.00000000      115468550.00000000      
90010364.00000000       71937600.00000000       57235980.00000000       
57096426.00000000       36050387.00000000       17905899.00000000       
5287941.00000000
   Lys [29]       157871398.00000000      142549971.00000000      
125931036.00000000      127087384.00000000      99749407.00000000       
80317945.00000000       63334994.00000000       49933573.00000000       
49808151.00000000       32140080.00000000       16130921.00000000       
5424571.00000000
   Thr [30]       184470441.00000000      168290646.00000000      
146650015.00000000      150163517.00000000      113697010.00000000      
90447602.00000000       71094552.00000000       57373548.00000000       
55671590.00000000       36597966.00000000       18224066.00000000       
4885754.00000000
   Gln [31]       204881745.00000000      184287001.00000000      
163186285.00000000      166581360.00000000      130000538.00000000      
103291161.00000000      80123021.00000000       63010012.00000000       
64053853.00000000       40240137.00000000       19779908.00000000       
6412819.00000000
   Asp [32]       206035470.00000000      187130556.00000000      
169073538.00000000      167487239.00000000      128878170.00000000      
104982870.00000000      81980949.00000000       65137953.00000000       
64910564.00000000       42783169.00000000       21115101.00000000       
6175989.00000000
   Lys [33]       212740148.00000000      194462516.00000000      
175656082.00000000      173752539.00000000      139949402.00000000      
112434991.00000000      91024053.00000000       72902312.00000000       
72526609.00000000       46299505.00000000       24241760.00000000       
7887105.00000000
   Glu [34]       202083258.00000000      186077531.00000000      
165899251.00000000      165095264.00000000      133557975.00000000      
105670841.00000000      84452949.00000000       67781756.00000000       
67018349.00000000       43605515.00000000       22094114.00000000       
7249634.00000000
   Gly [35]       241506461.00000000      222006098.00000000      
197131421.00000000      196490618.00000000      156830176.00000000      
125434750.00000000      100439539.00000000      79676985.00000000       
80747732.00000000       52457372.00000000       26540226.00000000       
8731184.00000000
   Ile [36]       234058810.00000000      218005077.00000000      
195564053.00000000      195696906.00000000      158786247.00000000      
133281122.00000000      105431963.00000000      87420968.00000000       
88893101.00000000       60448520.00000000       33550118.00000000       
13039064.00000000
   Asp [39]       231493725.00000000      209189654.00000000      
185905154.00000000      186077342.00000000      146789328.00000000      
118799297.00000000      94957274.00000000       75061455.00000000       
74535024.00000000       47398333.00000000       23745296.00000000       
7231902.00000000
   Gln [40]       193819563.00000000      177932952.00000000      
158302631.00000000      159486024.00000000      126855965.00000000      
101705817.00000000      81086278.00000000       63678183.00000000       
64471977.00000000       40884502.00000000       20531223.00000000       
6390964.00000000
   Gln [41]       155167988.00000000      142473700.00000000      
126524839.00000000      127556879.00000000      101252993.00000000      
81581562.00000000       65281387.00000000       52497166.00000000       
52595045.00000000       33464811.00000000       16670631.00000000       
5325981.00000000
   Arg [42]       132318085.00000000      123493555.00000000      
106143297.00000000      111806654.00000000      85129506.00000000       
70470044.00000000       54134938.00000000       43503199.00000000       
43946518.00000000       27513557.00000000       14001214.00000000       
4693041.00000000
   Leu [43]       117743446.00000000      107602632.00000000      
96274144.00000000       97964494.00000000       78572832.00000000       
63301420.00000000       51260876.00000000       41269809.00000000       
39238878.00000000       26045828.00000000       13277650.00000000       
4357848.00000000
   Ile [44]       139710089.00000000      130095625.00000000      
115486414.00000000      114394665.00000000      90148056.00000000       
73745378.00000000       57454185.00000000       46234985.00000000       
45862730.00000000       29520061.00000000       14532453.00000000       
4677290.00000000
   Phe [45]       132867198.00000000      120805825.00000000      
108270684.00000000      107100014.00000000      85889973.00000000       
69091124.00000000       55020744.00000000       43236350.00000000       
44260399.00000000       27503468.00000000       13441035.00000000       
4826130.00000000
   Ala [46]       57914597.00000000       51881309.00000000       
46579229.00000000       47092814.00000000       37037144.00000000       
31924167.00000000       23903155.00000000       19563653.00000000       
19746012.00000000       12878110.00000000       6609089.00000000        
2699082.00000000
   Gly [47]       188826864.00000000      172677977.00000000      
151981140.00000000      152700081.00000000      123676846.00000000      
102049320.00000000      79022474.00000000       63133692.00000000       
64204513.00000000       41947915.00000000       21645746.00000000       
7029647.00000000
   Lys [48]       178431003.00000000      165617287.00000000      
146584627.00000000      150749529.00000000      117496476.00000000      
98262260.00000000       74737811.00000000       60170695.00000000       
61619711.00000000       39233738.00000000       20328841.00000000       
6156701.00000000
   Gln [49]       186021781.00000000      175056129.00000000      
157099110.00000000      156008670.00000000      125463985.00000000      
102293402.00000000      81579021.00000000       66980952.00000000       
66344623.00000000       44594468.00000000       23191461.00000000       
7761648.00000000
   Leu [50]       143844863.00000000      132127991.00000000      
117546981.00000000      119479003.00000000      94670839.00000000       
76256888.00000000       59560726.00000000       48402696.00000000       
48185607.00000000       30318410.00000000       15068508.00000000       
4839653.00000000
   Glu [51]       145894664.00000000      134099654.00000000      
120946012.00000000      121216828.00000000      97978112.00000000       
78347944.00000000       63562757.00000000       51163711.00000000       
52797973.00000000       33220440.00000000       16651981.00000000       
6038678.00000000
   Asp [52]       195905463.00000000      180334422.00000000      
164853593.00000000      163313105.00000000      131390726.00000000      
109689711.00000000      87684801.00000000       70466565.00000000       
72501426.00000000       48470051.00000000       26133017.00000000       
9850633.00000000
   Arg [54]       158337145.00000000      145064669.00000000      
129967983.00000000      130449620.00000000      102043048.00000000      
83981092.00000000       67008960.00000000       53914300.00000000       
53985173.00000000       35544289.00000000       18773027.00000000       
6598057.00000000
   Thr [55]       125689709.00000000      114960229.00000000      
103498437.00000000      103430099.00000000      80896155.00000000       
64811193.00000000       51404358.00000000       40829824.00000000       
41911615.00000000       26866122.00000000       13687023.00000000       
4107187.00000000
   Leu [56]       168255466.00000000      154967127.00000000      
136634823.00000000      135990949.00000000      106681521.00000000      
85486309.00000000       67363079.00000000       52627948.00000000       
52676455.00000000       33329474.00000000       16011504.00000000       
5151936.00000000
   Ser [57]       222266360.00000000      203639252.00000000      
182176188.00000000      181782509.00000000      144761477.00000000      
116207703.00000000      90526285.00000000       72206981.00000000       
71441266.00000000       45297358.00000000       22859099.00000000       
7411511.00000000
   Asp [58]       186091017.00000000      168301874.00000000      
150697528.00000000      151946572.00000000      118337303.00000000      
93943924.00000000       73474227.00000000       57766643.00000000       
58410938.00000000       35629320.00000000       17647619.00000000       
5556101.00000000
   Tyr [59]       182353535.00000000      166629228.00000000      
150558070.00000000      150011046.00000000      121323530.00000000      
95925749.00000000       77125206.00000000       60634749.00000000       
61111522.00000000       38930013.00000000       20178398.00000000       
6734658.00000000
   Asn [60]       232274110.00000000      210967445.00000000      
190126440.00000000      189307384.00000000      151891486.00000000      
119903539.00000000      94693227.00000000       75699056.00000000       
75756423.00000000       47698283.00000000       23928648.00000000       
8405669.00000000
   Ile [61]       163369731.00000000      147733354.00000000      
132578855.00000000      131810056.00000000      102691464.00000000      
82992313.00000000       64360664.00000000       51288385.00000000       
52392778.00000000       33234661.00000000       16457737.00000000       
5243736.00000000
   Gln [62]       195292818.00000000      180098314.00000000      
165607120.00000000      164228419.00000000      135334020.00000000      
110794150.00000000      89402934.00000000       74016447.00000000       
74633530.00000000       50249122.00000000       27828964.00000000       
10877159.00000000
   Lys [63]       281179848.00000000      258350481.00000000      
230185994.00000000      231846663.00000000      184575436.00000000      
151618598.00000000      120743661.00000000      96049008.00000000       
97593757.00000000       64174356.00000000       32745570.00000000       
11027506.00000000
   Glu [64]       151318119.00000000      138657658.00000000      
123776848.00000000      122882896.00000000      97330060.00000000       
77001620.00000000       60956752.00000000       48516943.00000000       
49073731.00000000       30993799.00000000       15397797.00000000       
5153073.00000000
   Ser [65]       184598153.00000000      168471042.00000000      
151200708.00000000      151588090.00000000      121730596.00000000      
99328520.00000000       78782220.00000000       62742003.00000000       
62983030.00000000       39920482.00000000       20786435.00000000       
7055237.00000000
   Thr [66]       182654649.00000000      165327131.00000000      
147419506.00000000      147923225.00000000      117711125.00000000      
96520239.00000000       76769191.00000000       62873606.00000000       
62786605.00000000       40242044.00000000       21059009.00000000       
7329810.00000000
   Leu [67]       143684306.00000000      131497707.00000000      
115388575.00000000      114537365.00000000      90695052.00000000       
74300811.00000000       59131607.00000000       45743324.00000000       
47463749.00000000       31209095.00000000       16007523.00000000       
5240329.00000000
   His [68]       140517325.00000000      128617689.00000000      
114525583.00000000      114547343.00000000      91085108.00000000       
73627345.00000000       58108417.00000000       46488924.00000000       
46747152.00000000       30349782.00000000       15259372.00000000       
4969182.00000000
   Leu [69]       180495711.00000000      164962789.00000000      
149583780.00000000      147708405.00000000      118473209.00000000      
94724063.00000000       75166040.00000000       59510986.00000000       
61175770.00000000       37846415.00000000       18656762.00000000       
6386896.00000000
   Val [70]       143843305.00000000      131509536.00000000      
117016675.00000000      118095171.00000000      91953416.00000000       
73928447.00000000       58677098.00000000       46199502.00000000       
46016621.00000000       29717313.00000000       14212759.00000000       
4903616.00000000
   Leu [71]       191455127.00000000      176651362.00000000      
158015972.00000000      157904736.00000000      128801815.00000000      
102927475.00000000      82348955.00000000       64723785.00000000       
65167510.00000000       44107575.00000000       21833425.00000000       
7546767.00000000
   Arg [72]       220333907.00000000      204367568.00000000      
181950724.00000000      183639051.00000000      145962293.00000000      
119764773.00000000      94903357.00000000       76685950.00000000       
76686350.00000000       49351551.00000000       25919565.00000000       
8855974.00000000
   Leu [73]       241226873.00000000      225493937.00000000      
202361540.00000000      204490091.00000000      169504467.00000000      
145551444.00000000      117185563.00000000      95819760.00000000       
96013079.00000000       65569272.00000000       39020218.00000000       
16620089.00000000
   Arg [74]       191883204.00000000      176872888.00000000      
161473483.00000000      163244378.00000000      134860239.00000000      
123123988.00000000      99579916.00000000       84545481.00000000       
84896390.00000000       62306995.00000000       39809111.00000000       
18680798.00000000
   Gly [75]       126157098.00000000      117318927.00000000      
107762024.00000000      108701708.00000000      94295201.00000000       
91933672.00000000       77029905.00000000       67062951.00000000       
68482726.00000000       55565058.00000000       39230387.00000000       
23453548.00000000
   Gly [76]       404472039.00000000      392822505.00000000      
379864243.00000000      379113005.00000000      351789088.00000000      
330797588.00000000      303200697.00000000      278284758.00000000      
278155671.00000000      237265365.00000000      190531294.00000000      
131036521.00000000


SECTION:         used integral errors
Mixing time [s]:               0.01000000              0.05000000             
 0.10000000              0.10000000              0.20000000              
0.30000000              0.40000000              0.50000000              
0.50000000              0.70000000              1.00000000              
1.50000000
Peak name                     I0                      I1                      
I2                      I3                      I4                      I5    
                  I6                      I7                      I8          
            I9                     I10                     I11
    Gln [2]       1608301.59447534        1607613.84326396        
1608249.33096598        1588840.25616723        1608744.91632413        
1624141.35059149        1599708.05488950        1616400.26664149        
1614299.97588381        1623059.36429784        1610369.76463726        
1619654.26944291
    Ile [3]       1207564.59447534        1206876.84326396        
1207512.33096598        1188103.25616723        1208007.91632413        
1223404.35059149        1198971.05488950        1215663.26664149        
1213562.97588381        1222322.36429784        1209632.76463726        
1218917.26944291
    Phe [4]       1734752.59447534        1734064.84326396        
1734700.33096598        1715291.25616723        1735195.91632413        
1750592.35059149        1726159.05488950        1742851.26664149        
1740750.97588381        1749510.36429784        1736820.76463726        
1746105.26944291
    Val [5]       1036197.59447534        1035509.84326396        
1036145.33096598        1016736.25616723        1036640.91632413        
1052037.35059149        1027604.05488950        1044296.26664149        
1042195.97588381        1050955.36429784        1038265.76463726        
1047550.26944291
    Lys [6]       433733.59447534         433045.84326396         
433681.33096598         414272.25616723         434176.91632413         
449573.35059149         425140.05488950         441832.26664149         
439731.97588381         448491.36429784         435801.76463726         
445086.26944291
    Thr [7]       1766198.59447534        1765510.84326396        
1766146.33096598        1746737.25616723        1766641.91632413        
1782038.35059149        1757605.05488950        1774297.26664149        
1772196.97588381        1780956.36429784        1768266.76463726        
1777551.26944291
    Leu [8]       1606653.59447534        1605965.84326396        
1606601.33096598        1587192.25616723        1607096.91632413        
1622493.35059149        1598060.05488950        1614752.26664149        
1612651.97588381        1621411.36429784        1608721.76463726        
1618006.26944291
    Thr [9]       835081.59447534         834393.84326396         
835029.33096598         815620.25616723         835524.91632413         
850921.35059149         826488.05488950         843180.26664149         
841079.97588381         849839.36429784         837149.76463726         
846434.26944291
   Gly [10]       588274.59447534         587586.84326396         
588222.33096598         568813.25616723         588717.91632413         
604114.35059149         579681.05488950         596373.26664149         
594272.97588381         603032.36429784         590342.76463726         
599627.26944291
   Lys [11]       1129235.59447534        1128547.84326396        
1129183.33096598        1109774.25616723        1129678.91632413        
1145075.35059149        1120642.05488950        1137334.26664149        
1135233.97588381        1143993.36429784        1131303.76463726        
1140588.26944291
   Thr [12]       3053176.59447534        3052488.84326396        
3053124.33096598        3033715.25616723        3053619.91632413        
3069016.35059149        3044583.05488950        3061275.26664149        
3059174.97588381        3067934.36429784        3055244.76463726        
3064529.26944291
   Ile [13]       1590277.59447534        1589589.84326396        
1590225.33096598        1570816.25616723        1590720.91632413        
1606117.35059149        1581684.05488950        1598376.26664149        
1596275.97588381        1605035.36429784        1592345.76463726        
1601630.26944291
   Thr [14]       1672522.59447534        1671834.84326396        
1672470.33096598        1653061.25616723        1672965.91632413        
1688362.35059149        1663929.05488950        1680621.26664149        
1678520.97588381        1687280.36429784        1674590.76463726        
1683875.26944291
   Leu [15]       3824657.59447534        3823969.84326396        
3824605.33096598        3805196.25616723        3825100.91632413        
3840497.35059149        3816064.05488950        3832756.26664149        
3830655.97588381        3839415.36429784        3826725.76463726        
3836010.26944291
   Glu [16]       5746972.59447534        5746284.84326396        
5746920.33096598        5727511.25616723        5747415.91632413        
5762812.35059149        5738379.05488950        5755071.26664149        
5752970.97588381        5761730.36429784        5749040.76463726        
5758325.26944291
   Val [17]       1895623.59447534        1894935.84326396        
1895571.33096598        1876162.25616723        1896066.91632413        
1911463.35059149        1887030.05488950        1903722.26664149        
1901621.97588381        1910381.36429784        1897691.76463726        
1906976.26944291
   Glu [18]       2914578.59447534        2913890.84326396        
2914526.33096598        2895117.25616723        2915021.91632413        
2930418.35059149        2905985.05488950        2922677.26664149        
2920576.97588381        2929336.36429784        2916646.76463726        
2925931.26944291
   Ser [20]       1108455.59447534        1107767.84326396        
1108403.33096598        1088994.25616723        1108898.91632413        
1124295.35059149        1099862.05488950        1116554.26664149        
1114453.97588381        1123213.36429784        1110523.76463726        
1119808.26944291
   Asp [21]       685366.59447534         684678.84326396         
685314.33096598         665905.25616723         685809.91632413         
701206.35059149         676773.05488950         693465.26664149         
691364.97588381         700124.36429784         687434.76463726         
696719.26944291
   Thr [22]       1420143.59447534        1419455.84326396        
1420091.33096598        1400682.25616723        1420586.91632413        
1435983.35059149        1411550.05488950        1428242.26664149        
1426141.97588381        1434901.36429784        1422211.76463726        
1431496.26944291
   Ile [23]       2055354.59447534        2054666.84326396        
2055302.33096598        2035893.25616723        2055797.91632413        
2071194.35059149        2046761.05488950        2063453.26664149        
2061352.97588381        2070112.36429784        2057422.76463726        
2066707.26944291
   Asn [25]       1368445.59447534        1367757.84326396        
1368393.33096598        1348984.25616723        1368888.91632413        
1384285.35059149        1359852.05488950        1376544.26664149        
1374443.97588381        1383203.36429784        1370513.76463726        
1379798.26944291
   Val [26]       5609394.59447534        5608706.84326396        
5609342.33096598        5589933.25616723        5609837.91632413        
5625234.35059149        5600801.05488950        5617493.26664149        
5615392.97588381        5624152.36429784        5611462.76463726        
5620747.26944291
   Lys [27]       1504090.59447534        1503402.84326396        
1504038.33096598        1484629.25616723        1504533.91632413        
1519930.35059149        1495497.05488950        1512189.26664149        
1510088.97588381        1518848.36429784        1506158.76463726        
1515443.26944291
   Ala [28]       1984806.59447534        1984118.84326396        
1984754.33096598        1965345.25616723        1985249.91632413        
2000646.35059149        1976213.05488950        1992905.26664149        
1990804.97588381        1999564.36429784        1986874.76463726        
1996159.26944291
   Lys [29]       1325809.59447534        1325121.84326396        
1325757.33096598        1306348.25616723        1326252.91632413        
1341649.35059149        1317216.05488950        1333908.26664149        
1331807.97588381        1340567.36429784        1327877.76463726        
1337162.26944291
   Thr [30]       3682963.59447534        3682275.84326396        
3682911.33096598        3663502.25616723        3683406.91632413        
3698803.35059149        3674370.05488950        3691062.26664149        
3688961.97588381        3697721.36429784        3685031.76463726        
3694316.26944291
   Gln [31]       3564536.59447534        3563848.84326396        
3564484.33096598        3545075.25616723        3564979.91632413        
3580376.35059149        3555943.05488950        3572635.26664149        
3570534.97588381        3579294.36429784        3566604.76463726        
3575889.26944291
   Asp [32]       1755760.59447534        1755072.84326396        
1755708.33096598        1736299.25616723        1756203.91632413        
1771600.35059149        1747167.05488950        1763859.26664149        
1761758.97588381        1770518.36429784        1757828.76463726        
1767113.26944291
   Lys [33]       2073004.59447534        2072316.84326396        
2072952.33096598        2053543.25616723        2073447.91632413        
2088844.35059149        2064411.05488950        2081103.26664149        
2079002.97588381        2087762.36429784        2075072.76463726        
2084357.26944291
   Glu [34]       973448.59447534         972760.84326396         
973396.33096598         953987.25616723         973891.91632413         
989288.35059149         964855.05488950         981547.26664149         
979446.97588381         988206.36429784         975516.76463726         
984801.26944291
   Gly [35]       1240208.59447534        1239520.84326396        
1240156.33096598        1220747.25616723        1240651.91632413        
1256048.35059149        1231615.05488950        1248307.26664149        
1246206.97588381        1254966.36429784        1242276.76463726        
1251561.26944291
   Ile [36]       1641594.59447534        1640906.84326396        
1641542.33096598        1622133.25616723        1642037.91632413        
1657434.35059149        1633001.05488950        1649693.26664149        
1647592.97588381        1656352.36429784        1643662.76463726        
1652947.26944291
   Asp [39]       695892.59447534         695204.84326396         
695840.33096598         676431.25616723         696335.91632413         
711732.35059149         687299.05488950         703991.26664149         
701890.97588381         710650.36429784         697960.76463726         
707245.26944291
   Gln [40]       1352854.59447534        1352166.84326396        
1352802.33096598        1333393.25616723        1353297.91632413        
1368694.35059149        1344261.05488950        1360953.26664149        
1358852.97588381        1367612.36429784        1354922.76463726        
1364207.26944291
   Gln [41]       1201501.59447534        1200813.84326396        
1201449.33096598        1182040.25616723        1201944.91632413        
1217341.35059149        1192908.05488950        1209600.26664149        
1207499.97588381        1216259.36429784        1203569.76463726        
1212854.26944291
   Arg [42]       5832818.59447534        5832130.84326396        
5832766.33096598        5813357.25616723        5833261.91632413        
5848658.35059149        5824225.05488950        5840917.26664149        
5838816.97588381        5847576.36429784        5834886.76463726        
5844171.26944291
   Leu [43]       2200392.59447534        2199704.84326396        
2200340.33096598        2180931.25616723        2200835.91632413        
2216232.35059149        2191799.05488950        2208491.26664149        
2206390.97588381        2215150.36429784        2202460.76463726        
2211745.26944291
   Ile [44]       1261210.59447534        1260522.84326396        
1261158.33096598        1241749.25616723        1261653.91632413        
1277050.35059149        1252617.05488950        1269309.26664149        
1267208.97588381        1275968.36429784        1263278.76463726        
1272563.26944291
   Phe [45]       1340131.59447534        1339443.84326396        
1340079.33096598        1320670.25616723        1340574.91632413        
1355971.35059149        1331538.05488950        1348230.26664149        
1346129.97588381        1354889.36429784        1342199.76463726        
1351484.26944291
   Ala [46]       683046.59447534         682358.84326396         
682994.33096598         663585.25616723         683489.91632413         
698886.35059149         674453.05488950         691145.26664149         
689044.97588381         697804.36429784         685114.76463726         
694399.26944291
   Gly [47]       1240282.59447534        1239594.84326396        
1240230.33096598        1220821.25616723        1240725.91632413        
1256122.35059149        1231689.05488950        1248381.26664149        
1246280.97588381        1255040.36429784        1242350.76463726        
1251635.26944291
   Lys [48]       4334363.59447534        4333675.84326396        
4334311.33096598        4314902.25616723        4334806.91632413        
4350203.35059149        4325770.05488950        4342462.26664149        
4340361.97588381        4349121.36429784        4336431.76463726        
4345716.26944291
   Gln [49]       1259901.59447534        1259213.84326396        
1259849.33096598        1240440.25616723        1260344.91632413        
1275741.35059149        1251308.05488950        1268000.26664149        
1265899.97588381        1274659.36429784        1261969.76463726        
1271254.26944291
   Leu [50]       2101483.59447534        2100795.84326396        
2101431.33096598        2082022.25616723        2101926.91632413        
2117323.35059149        2092890.05488950        2109582.26664149        
2107481.97588381        2116241.36429784        2103551.76463726        
2112836.26944291
   Glu [51]       1803723.59447534        1803035.84326396        
1803671.33096598        1784262.25616723        1804166.91632413        
1819563.35059149        1795130.05488950        1811822.26664149        
1809721.97588381        1818481.36429784        1805791.76463726        
1815076.26944291
   Asp [52]       2204322.59447534        2203634.84326396        
2204270.33096598        2184861.25616723        2204765.91632413        
2220162.35059149        2195729.05488950        2212421.26664149        
2210320.97588381        2219080.36429784        2206390.76463726        
2215675.26944291
   Arg [54]       651098.59447534         650410.84326396         
651046.33096598         631637.25616723         651541.91632413         
666938.35059149         642505.05488950         659197.26664149         
657096.97588381         665856.36429784         653166.76463726         
662451.26944291
   Thr [55]       1251252.59447534        1250564.84326396        
1251200.33096598        1231791.25616723        1251695.91632413        
1267092.35059149        1242659.05488950        1259351.26664149        
1257250.97588381        1266010.36429784        1253320.76463726        
1262605.26944291
   Leu [56]       813335.59447534         812647.84326396         
813283.33096598         793874.25616723         813778.91632413         
829175.35059149         804742.05488950         821434.26664149         
819333.97588381         828093.36429784         815403.76463726         
824688.26944291
   Ser [57]       935176.59447534         934488.84326396         
935124.33096598         915715.25616723         935619.91632413         
951016.35059149         926583.05488950         943275.26664149         
941174.97588381         949934.36429784         937244.76463726         
946529.26944291
   Asp [58]       1418505.59447534        1417817.84326396        
1418453.33096598        1399044.25616723        1418948.91632413        
1434345.35059149        1409912.05488950        1426604.26664149        
1424503.97588381        1433263.36429784        1420573.76463726        
1429858.26944291
   Tyr [59]       716485.59447534         715797.84326396         
716433.33096598         697024.25616723         716928.91632413         
732325.35059149         707892.05488950         724584.26664149         
722483.97588381         731243.36429784         718553.76463726         
727838.26944291
   Asn [60]       988517.59447534         987829.84326396         
988465.33096598         969056.25616723         988960.91632413         
1004357.35059149        979924.05488950         996616.26664149         
994515.97588381         1003275.36429784        990585.76463726         
999870.26944291
   Ile [61]       1273854.59447534        1273166.84326396        
1273802.33096598        1254393.25616723        1274297.91632413        
1289694.35059149        1265261.05488950        1281953.26664149        
1279852.97588381        1288612.36429784        1275922.76463726        
1285207.26944291
   Gln [62]       1548162.59447534        1547474.84326396        
1548110.33096598        1528701.25616723        1548605.91632413        
1564002.35059149        1539569.05488950        1556261.26664149        
1554160.97588381        1562920.36429784        1550230.76463726        
1559515.26944291
   Lys [63]       1830130.59447534        1829442.84326396        
1830078.33096598        1810669.25616723        1830573.91632413        
1845970.35059149        1821537.05488950        1838229.26664149        
1836128.97588381        1844888.36429784        1832198.76463726        
1841483.26944291
   Glu [64]       1063413.59447534        1062725.84326396        
1063361.33096598        1043952.25616723        1063856.91632413        
1079253.35059149        1054820.05488950        1071512.26664149        
1069411.97588381        1078171.36429784        1065481.76463726        
1074766.26944291
   Ser [65]       556843.59447534         556155.84326396         
556791.33096598         537382.25616723         557286.91632413         
572683.35059149         548250.05488950         564942.26664149         
562841.97588381         571601.36429784         558911.76463726         
568196.26944291
   Thr [66]       673180.59447534         672492.84326396         
673128.33096598         653719.25616723         673623.91632413         
689020.35059149         664587.05488950         681279.26664149         
679178.97588381         687938.36429784         675248.76463726         
684533.26944291
   Leu [67]       1889886.59447534        1889198.84326396        
1889834.33096598        1870425.25616723        1890329.91632413        
1905726.35059149        1881293.05488950        1897985.26664149        
1895884.97588381        1904644.36429784        1891954.76463726        
1901239.26944291
   His [68]       427689.59447534         427001.84326396         
427637.33096598         408228.25616723         428132.91632413         
443529.35059149         419096.05488950         435788.26664149         
433687.97588381         442447.36429784         429757.76463726         
439042.26944291
   Leu [69]       2044836.59447534        2044148.84326396        
2044784.33096598        2025375.25616723        2045279.91632413        
2060676.35059149        2036243.05488950        2052935.26664149        
2050834.97588381        2059594.36429784        2046904.76463726        
2056189.26944291
   Val [70]       1247957.59447534        1247269.84326396        
1247905.33096598        1228496.25616723        1248400.91632413        
1263797.35059149        1239364.05488950        1256056.26664149        
1253955.97588381        1262715.36429784        1250025.76463726        
1259310.26944291
   Leu [71]       613186.59447534         612498.84326396         
613134.33096598         593725.25616723         613629.91632413         
629026.35059149         604593.05488950         621285.26664149         
619184.97588381         627944.36429784         615254.76463726         
624539.26944291
   Arg [72]       1857788.59447534        1857100.84326396        
1857736.33096598        1838327.25616723        1858231.91632413        
1873628.35059149        1849195.05488950        1865887.26664149        
1863786.97588381        1872546.36429784        1859856.76463726        
1869141.26944291
   Leu [73]       2298012.59447534        2297324.84326396        
2297960.33096598        2278551.25616723        2298455.91632413        
2313852.35059149        2289419.05488950        2306111.26664149        
2304010.97588381        2312770.36429784        2300080.76463726        
2309365.26944291
   Arg [74]       1940356.59447534        1939668.84326396        
1940304.33096598        1920895.25616723        1940799.91632413        
1956196.35059149        1931763.05488950        1948455.26664149        
1946354.97588381        1955114.36429784        1942424.76463726        
1951709.26944291
   Gly [75]       1589236.59447534        1588548.84326396        
1589184.33096598        1569775.25616723        1589679.91632413        
1605076.35059149        1580643.05488950        1597335.26664149        
1595234.97588381        1603994.36429784        1591304.76463726        
1600589.26944291
   Gly [76]       920699.59447534         920011.84326396         
920647.33096598         901238.25616723         921142.91632413         
936539.35059149         912106.05488950         928798.26664149         
926697.97588381         935457.36429784         922767.76463726         
932052.26944291


SECTION:         details
Fitted function:         f(t) = I0 * e-t/T1  to fit I0 and T1
Random error estimation of data:         RMS per spectrum (or trace/plane)
Systematic error estimation of data:     worst case per peak scenario
Fit parameter Error estimation method:   from fit using calculated y 
uncertainties
Confidence level:        95%
Used peaks:      peaks from 
E:\data\dynamic\nmr\sample_ber\2D-Ref\pdata\10\peaklist.xml
Used integrals:  peak intensities
Used Mixing time:        all values (including replicates) used


SECTION:         results
Peak name          F1 [ppm]        F2 [ppm]        T1 [s]          error      
     errorScale
Gln [2]     122.508           8.898        0.4560        0.012326          
2.2281
Ile [3]     114.800           8.280        0.4289        0.0089800         
2.2281
Phe [4]     118.172           8.565        0.4259        0.015866          
2.2281
Val [5]     120.902           9.256        0.4446        0.0084807         
2.2281
Lys [6]     127.647           8.914        0.4386        0.0032737         
2.2281
Thr [7]     115.121           8.703        0.4505        0.012887          
2.2281
Leu [8]     120.902           9.061        0.4464        0.017357          
2.2281
Thr [9]     105.486           7.596        0.5081        0.016893          
2.2281
Gly [10]            108.858           7.784        0.4789        0.0045383    
     2.2281
Lys [11]            121.545           7.230        0.5006        0.0087386    
     2.2281
Thr [12]            120.260           8.581        0.4621        0.028354     
     2.2281
Ile [13]            127.326           9.508        0.4400        0.014724     
     2.2281
Thr [14]            121.223           8.679        0.4547        0.011743     
     2.2281
Leu [15]            124.756           8.695        0.4387        0.033559     
     2.2281
Glu [16]            122.139           8.081        0.4792        0.038163     
     2.2281
Val [17]            117.209           8.898        0.4377        0.013371     
     2.2281
Glu [18]            119.136           8.630        0.4744        0.025534     
     2.2281
Ser [20]            103.077           6.994        0.4458        0.0075985    
     2.2281
Asp [21]            123.472           8.003        0.4257        0.0036873    
     2.2281
Thr [22]            108.697           7.832        0.4396        0.012438     
     2.2281
Ile [23]            120.902           8.483        0.4054        0.018904     
     2.2281
Asn [25]            121.063           7.889        0.4174        0.010689     
     2.2281
Val [26]            122.187           8.076        0.4688        0.035345     
     2.2281
Lys [27]            118.654           8.516        0.4233        0.013666     
     2.2281
Ala [28]            123.151           7.946        0.4193        0.014360     
     2.2281
Lys [29]            119.778           7.824        0.4298        0.011476     
     2.2281
Thr [30]            120.902           8.247        0.4132        0.026029     
     2.2281
Gln [31]            123.151           8.516        0.4216        0.023199     
     2.2281
Asp [32]            119.457           7.979        0.4268        0.011464     
     2.2281
Lys [33]            115.121           7.393        0.4560        0.014005     
     2.2281
Glu [34]            113.997           8.687        0.4468        0.0067758    
     2.2281
Gly [35]            108.537           8.459        0.4452        0.0072146    
     2.2281
Ile [36]            119.939           6.124        0.5023        0.011122     
     2.2281
Asp [39]            113.194           8.483        0.4360        0.0041799    
     2.2281
Gln [40]            116.566           7.784        0.4435        0.0097303    
     2.2281
Gln [41]            117.690           7.434        0.4496        0.010974     
     2.2281
Arg [42]            122.669           8.467        0.4386        0.060259     
     2.2281
Leu [43]            124.114           8.776        0.4603        0.027054     
     2.2281
Ile [44]            122.026           9.085        0.4387        0.012389     
     2.2281
Phe [45]            124.756           8.809        0.4413        0.014084     
     2.2281
Ala [46]            132.465           8.931        0.4601        0.017401     
     2.2281
Gly [47]            102.113           8.044        0.4563        0.0095167    
     2.2281
Lys [48]            121.705           7.946        0.4543        0.034380     
     2.2281
Gln [49]            122.669           8.589        0.4730        0.0099851    
     2.2281
Leu [50]            125.399           8.516        0.4455        0.020395     
     2.2281
Glu [51]            122.829           8.337        0.4687        0.018214     
     2.2281
Asp [52]            119.939           8.109        0.4888        0.017327     
     2.2281
Arg [54]            118.975           7.426        0.4561        0.0059463    
     2.2281
Thr [55]            108.537           8.792        0.4396        0.013766     
     2.2281
Leu [56]            117.690           8.109        0.4221        0.0064286    
     2.2281
Ser [57]            113.194           8.434        0.4351        0.0057569    
     2.2281
Asp [58]            124.114           7.897        0.4207        0.010105     
     2.2281
Tyr [59]            115.442           7.222        0.4493        0.0055646    
     2.2281
Asn [60]            115.603           8.109        0.4377        0.0058785    
     2.2281
Ile [61]            118.493           7.206        0.4270        0.010546     
     2.2281
Gln [62]            124.596           7.572        0.5067        0.012662     
     2.2281
Lys [63]            120.260           8.434        0.4619        0.0094808    
     2.2281
Glu [64]            114.318           9.272        0.4312        0.0095453    
     2.2281
Ser [65]            114.639           7.629        0.4568        0.0043694    
     2.2281
Thr [66]            117.048           8.662        0.4584        0.0054046    
     2.2281
Leu [67]            127.486           9.370        0.4410        0.018436     
     2.2281
His [68]            119.136           9.191        0.4451        0.0043067    
     2.2281
Leu [69]            123.632           8.255        0.4447        0.015813     
     2.2281
Val [70]            126.362           9.134        0.4319        0.011793     
     2.2281
Leu [71]            122.669           8.044        0.4596        0.0046414    
     2.2281
Arg [72]            123.472           8.557        0.4622        0.012209     
     2.2281
Leu [73]            124.114           8.288        0.5386        0.016241     
     2.2281
Arg [74]            121.545           8.378        0.6202        0.020482     
     2.2281
Gly [75]            110.624           8.426        0.8603        0.038094     
     2.2281
Gly [76]            114.800           7.889         1.311        0.011609     
     2.2281

Related Messages


Powered by MHonArc, Updated Mon Feb 21 18:40:13 2011