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Statistics on quadruplet frequencies as observed from the training set protein chains

 

 

There are a total of 8855 possible quadruplets that could be observed in each of the five classes of tetrahedra (class      {1-1-1-1},{2-1-1},{2-2},{3-1} and {4} ). Thus there are a total of 8855 x 5 = 44275 tetrahedral compositions as defined by the four-body potentials. Of course some of the quadruplet compositions would never occur in nature due to the Chemistry and structure of the participating amino acids. A summary of quadruplet observations for each of the five classes of tetrahedra as recorded from the Delaunay tessellations of the 1167 training set protein chains is given below.

 

 

 

 

 

I.                   Class {1-1-1-1}

 

# quadruplets observed (at least once)                           =  8723 

                  # quadruplets observed at least 3 times                         =  8260

                  average number of observation per quadruplet             =  29.9

 

 

 

 

 

 

II.                Class {2-1-1}

 

# quadruplets observed (at least once)                           =  8804

                  # quadruplets observed at least 3 times                         =  8582

                  average number of observation per quadruplet             =  41.7

 

 

 

 

 

 

 

 

 

 

 

III.             Class {2-2}

 

# quadruplets observed (at least once)                           =  8306

                  # quadruplets observed at least 3 times                         =  6960

                  average number of observation per quadruplet             =  13.3

 

 

 

 

 

 

 

 

IV.            Class {3-1}

 

# quadruplets observed (at least once)                           =  8579

                  # quadruplets observed at least 3 times                         =  7929

                  average number of observation per quadruplet             =   25.8

 

 

 

 

 

 

 

 

V.               Class {4}

 

# quadruplets observed (at least once)                           =  7107

                  # quadruplets observed at least 3 times                         =  4939

                  average number of observation per quadruplet             =     6.4