Hi,
in this original BLOSUM62 score matrix the identities of the
amino acids are weighted differently (I suppose, this comes from their
different distribution in nature). In the problem you described
you want to scale all identities to 1 and you will lost this
information, right?

What are the priorities in this transformation? Do you want to
get metric properties? Or do you want to sustain the different
distribution of the amino acids?

Can you give us few words about why do you want to transform
this matrix and how do you want to use it?

Uta Bohnebeck

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Uta Bohnebeck                 Tel:      +49-421-218-7838/ -7090
Universit�t Bremen            Fax:      +49-421-218-7196
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-----Urspr�ngliche Nachricht-----
Von: Classification, clustering, and phylogeny estimation
[mailto:[EMAIL PROTECTED]]Im Auftrag von William Shannon
Gesendet: Mittwoch, 2. Mai 2001 19:40
An: [EMAIL PROTECTED]
Betreff: More protein stuff


As a follow-up to my previous email the first 5 rows,columns of the score
matrix
 are:

> blosum62[1:5,1:5]
   A  R  N  D  C
A  4 -1 -2 -2  0
R -1  5  0 -2 -3
N -2  0  6  1 -3
D -2 -2  1  6 -3
C  0 -3 -3 -3  9


Comparing sequences ARN to ADC gives similarity scores:

        (s_AA = 4) + (s_RD = -2) + (s_NC = -3) = -1

and ARN to itself

        (s_AA = 4) + (s_RR = 5) + (s_NN = 6) = 15

and ADC to itself

        (s_AA = 4) + (s_DD = 6) + (s_CC = 9) = 19

so the similarity matrix is

        15  -1
        -1  19


--

William D. Shannon, Ph.D.

Assistant Professor of Biostatistics in Medicine
Division of General Medical Sciences and Biostatistics

Washington University School of Medicine
Campus Box 8005, 660 S. Euclid
St. Louis, MO   63110

Phone: 314-454-8356
Fax: 314-454-5113
e-mail: [EMAIL PROTECTED]
web page: http://ilya.wustl.edu/~shannon

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