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Classification of Enzyme Reaction Mechanisms
  Noel M.    O'Boyle,1    Gemma L.      Holliday,2
                                            Daniel E.             Peter       Almonacid,1
                                                                                        John B.O.    Murray-Rust, 1                         Mitchell1

                                           and Janet M. Thornton  2
     1Unilever Centre for Molecular Science Informatics, Department of Chemistry, University of Cambridge,

                                   Lensfield Rd, Cambridge, CB2 1EW, U.K.
             2EMBL-EBI, Wellcome Trust Genome Campus, Hinxton, Cambridge, CB10 1SD, U.K.


Background                                                                        Results
The current system of enzyme nomenclature and classification                      The pairwise similarity of all of the 99 entries in the dataset was
was developed by the Enzyme Commission (EC) [1]. The EC                           calculated. Table 1 shows the ten most similar pairs, as well as
system is a hierarchical classification based upon the overall                    the correspondance between the EC codes for each pair.
reactions catalysed by enzymes. This system does not take into                                              FP                            BC
                                                                                                     a                      b
account differences in mechanism: in some cases, enzymes                                 Rank    Pair     Score   same EC        Pair    Score   same EC
                                                                                           1     32, 33    0.94      0          39, 71     1        3
with different mechanisms have the same EC number, and vice                                2     39, 71    0.84      3          32, 33     1        0
versa.                                                                                     3     62, 63    0.78      3          10, 55    0.75      3
                                                                                           4     69, 83    0.75      0          11, 58    0.71      0
                                                                                           5     55, 61    0.74      0           2, 29    0.67      2
Aim                                                                                        6
                                                                                           7
                                                                                                 11, 58
                                                                                                 36, 45
                                                                                                           0.74
                                                                                                           0.72
                                                                                                                     0
                                                                                                                     0
                                                                                                                                74, 75
                                                                                                                                62, 63
                                                                                                                                          0.56
                                                                                                                                          0.54
                                                                                                                                                    2
                                                                                                                                                    3
Here, we describe the first quantitative method to measure the                             8     16, 33    0.71      0           7, 21    0.51      3
similarity of reactions based on their explicit mechanisms. This                           9     32, 99    0.71      0          69, 83    0.5       0
is the first step in the development of an enzyme classification                          10     16, 32    0.71      0          55, 61    0.5       0

system complementary to the EC, which will take into account                     Table 1 - The 10 most similar pairs of reactions in the dataset.
differences and similarities in mechanism.                                       aReaction nn refers to MACiE entry M00nn. bThe level up to which
                                                                                 the two reactions share an EC code (ranges from 0 to 4).
Method
1. Our dataset is MACiE [2,3], a database of enzyme reaction                     Discussion
   mechanisms.                                                                   Both the FP and BC methods are able to detect similarities
2. Similarity between steps of a mechanism is measured in one                    between reaction mechanisms. For example, the pair of
   of two ways:                                                                  enzymes M0039 and M0071 differ only in their substrate
   a) The Fingerprint method (FP) uses the Euclidean distance                    specificity, and have very similar reaction mechanisms, except
   between fingerprints containing key information about bond,                   that the mechanism of M0039 is Ca   2+-dependent.
   charge, and molecular changes
   b) The Bond Change method (BC) uses the Tanimoto                              The two methods share 6 of their respective top 10 (out of 4851)
   coefficient to measure similarity between bond changes                        reaction pairs (shown in bold in Table 1). Because the FP and
   (including cleavages and formations) (Equation 1)                             BC methods emphasise different aspects of the steps, they give
                                                                                 complementary measures of similarity. For example, according
                        (no. of bond changes in common)
Equation 1     Sxy =                                                             to the BC method, the two reaction mechanisms M0002 and
                           (total no. of bond changes)                           M0029 (see above) are very similar, but the FP method gives
                                                                                 them a lower score as it is sensitive to the difference between
3. A global alignment is performed for each pair of reaction
                                                                                 cleavage of intramolecular versus intermolecular bonds.
   mechanisms using the Needleman-Wunsch algorithm. This
   finds the best match between mechanistic steps in two
                                                                                 It is also possible to use these similarity methods to search the
   different reactions, and gives a score for the overall
                                                                                 dataset for mechanisms similar to a particular query. This could
   similarity.
                                                                                 be used by an experimentalist to find out whether there are
4. The scores from (3) are adjusted based on the maximum
                                                                                 known enzymes with similar mechanisms, as a step in the
   possible score. This penalises unmatched steps.
                                                                                 validation of a proposed mechanism.
Example
Similarity of MACiE entries, M0002 and M0029 (BC method).
                                                                                 Conclusions
M0002, beta-lactamase            M0029, glutaminase      Bond changes            Although the EC system plays a very important conceptual role
                                                                                 in the classification of enzyme reactions, researchers should
                                                         In both reactions:
                                                         O-H cleaved
                                                                                 look beyond the hierarchical picture that the EC imposes.
                                                         C-O formed
                                                         C=O       C-O
                                                                                 Based on the similarity methods described here, we hope to
                                                         Only in M0029:
                                                         O-H formed              develop a complementary classification system for enzymes
                                                         Only in M0002:
                                                         N-H formed              that takes into account the similarity of their reaction
                                                                                 mechanisms.
                                                         In both reactions:
                                                         O-H cleaved
                                                         C-N cleaved
                                                         N-H formed
                                                         C-O      C=O            Acknowledgements
                                                                                 This work is funded by BBSRC grant BB/C51320X/1. We also
                                                         In both reactions:
                                                                                 thank Unilever for funding the Centre for Molecular Science
                                                         O-H cleaved
                                                         O-H formed
                                                                                 Informatics.
                                                         C-O formed
                                                         C=O       C-O


                                                                                 References
                                                         In both reactions:      [1] EC System, http://www.chem.qmul.ac.uk/iubmb/enzyme/
                                                         O-H cleaved
                                                         C-O cleaved             [2] MACiE, http://www-mitchell.ch.cam.ac.uk/macie
                                                         O-H formed
                                                         C-O       C=O           [3] G.L. Holliday, G.J. Bartlett, D.E. Almonacid, N.M. O'Boyle, P.
                                                                                     Murray-Rust, J.M. Thornton, J.B.O. Mitchell, Bioinformatics,
Figure 1 - The best alignment between the 5-step reaction                            2005, 21, 4315.
mechanism M0002 and the 4-step reaction mechanism M0029.

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Classification of Enzyme Reaction Mechanisms

  • 1. Classification of Enzyme Reaction Mechanisms Noel M. O'Boyle,1 Gemma L. Holliday,2 Daniel E. Peter Almonacid,1 John B.O. Murray-Rust, 1 Mitchell1 and Janet M. Thornton 2 1Unilever Centre for Molecular Science Informatics, Department of Chemistry, University of Cambridge, Lensfield Rd, Cambridge, CB2 1EW, U.K. 2EMBL-EBI, Wellcome Trust Genome Campus, Hinxton, Cambridge, CB10 1SD, U.K. Background Results The current system of enzyme nomenclature and classification The pairwise similarity of all of the 99 entries in the dataset was was developed by the Enzyme Commission (EC) [1]. The EC calculated. Table 1 shows the ten most similar pairs, as well as system is a hierarchical classification based upon the overall the correspondance between the EC codes for each pair. reactions catalysed by enzymes. This system does not take into FP BC a b account differences in mechanism: in some cases, enzymes Rank Pair Score same EC Pair Score same EC 1 32, 33 0.94 0 39, 71 1 3 with different mechanisms have the same EC number, and vice 2 39, 71 0.84 3 32, 33 1 0 versa. 3 62, 63 0.78 3 10, 55 0.75 3 4 69, 83 0.75 0 11, 58 0.71 0 5 55, 61 0.74 0 2, 29 0.67 2 Aim 6 7 11, 58 36, 45 0.74 0.72 0 0 74, 75 62, 63 0.56 0.54 2 3 Here, we describe the first quantitative method to measure the 8 16, 33 0.71 0 7, 21 0.51 3 similarity of reactions based on their explicit mechanisms. This 9 32, 99 0.71 0 69, 83 0.5 0 is the first step in the development of an enzyme classification 10 16, 32 0.71 0 55, 61 0.5 0 system complementary to the EC, which will take into account Table 1 - The 10 most similar pairs of reactions in the dataset. differences and similarities in mechanism. aReaction nn refers to MACiE entry M00nn. bThe level up to which the two reactions share an EC code (ranges from 0 to 4). Method 1. Our dataset is MACiE [2,3], a database of enzyme reaction Discussion mechanisms. Both the FP and BC methods are able to detect similarities 2. Similarity between steps of a mechanism is measured in one between reaction mechanisms. For example, the pair of of two ways: enzymes M0039 and M0071 differ only in their substrate a) The Fingerprint method (FP) uses the Euclidean distance specificity, and have very similar reaction mechanisms, except between fingerprints containing key information about bond, that the mechanism of M0039 is Ca 2+-dependent. charge, and molecular changes b) The Bond Change method (BC) uses the Tanimoto The two methods share 6 of their respective top 10 (out of 4851) coefficient to measure similarity between bond changes reaction pairs (shown in bold in Table 1). Because the FP and (including cleavages and formations) (Equation 1) BC methods emphasise different aspects of the steps, they give complementary measures of similarity. For example, according (no. of bond changes in common) Equation 1 Sxy = to the BC method, the two reaction mechanisms M0002 and (total no. of bond changes) M0029 (see above) are very similar, but the FP method gives them a lower score as it is sensitive to the difference between 3. A global alignment is performed for each pair of reaction cleavage of intramolecular versus intermolecular bonds. mechanisms using the Needleman-Wunsch algorithm. This finds the best match between mechanistic steps in two It is also possible to use these similarity methods to search the different reactions, and gives a score for the overall dataset for mechanisms similar to a particular query. This could similarity. be used by an experimentalist to find out whether there are 4. The scores from (3) are adjusted based on the maximum known enzymes with similar mechanisms, as a step in the possible score. This penalises unmatched steps. validation of a proposed mechanism. Example Similarity of MACiE entries, M0002 and M0029 (BC method). Conclusions M0002, beta-lactamase M0029, glutaminase Bond changes Although the EC system plays a very important conceptual role in the classification of enzyme reactions, researchers should In both reactions: O-H cleaved look beyond the hierarchical picture that the EC imposes. C-O formed C=O C-O Based on the similarity methods described here, we hope to Only in M0029: O-H formed develop a complementary classification system for enzymes Only in M0002: N-H formed that takes into account the similarity of their reaction mechanisms. In both reactions: O-H cleaved C-N cleaved N-H formed C-O C=O Acknowledgements This work is funded by BBSRC grant BB/C51320X/1. We also In both reactions: thank Unilever for funding the Centre for Molecular Science O-H cleaved O-H formed Informatics. C-O formed C=O C-O References In both reactions: [1] EC System, http://www.chem.qmul.ac.uk/iubmb/enzyme/ O-H cleaved C-O cleaved [2] MACiE, http://www-mitchell.ch.cam.ac.uk/macie O-H formed C-O C=O [3] G.L. Holliday, G.J. Bartlett, D.E. Almonacid, N.M. O'Boyle, P. Murray-Rust, J.M. Thornton, J.B.O. Mitchell, Bioinformatics, Figure 1 - The best alignment between the 5-step reaction 2005, 21, 4315. mechanism M0002 and the 4-step reaction mechanism M0029.