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Motif-Based Centrality


Definition

The motif-based centrality cmc:V↦R assigns to every vertex v∈V(G) the number of matches the vertex v occurs in.
It is defined as:
cmc(v)≔|{GM|GM∈GM∧v∈V(GM)}|


Two extensions of this centrality exist: motif-based centrality with roles and motif-based centrality with classes.
Such different functions of vertices within motifs are called roles and three roles can be assigned to the vertices of the FFL motif. The motif-based centrality with roles Cmbr restricts the number of counted matches to those matches where the vertex occurs in the match with the role under consideration;
By assigning the same role to similar vertices of a group of similar motifs we can establish a centrality based on a class (or group) of motifs. The motif-based centrality with classes Cmbc is the sum of motif-based centralities with roles Cmbr for the same role in similar or related motifs.

see [KOSCHÜTZKI, D., 2007] for more details.

Software

References

  • KOSCHÜTZKI, D., SCHWÖBBERMEYER, H. & SCHREIBER, F. 2007. Ranking of network elements based on functional substructures. Journal of Theoretical Biology, 248, 471-479.
  • KOSCHÜTZKI, D. & SCHREIBER, F. 2008. Centrality analysis methods for biological networks and their application to gene regulatory networks. Gene regulation and systems biology, 2, 193.


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