Abstract.In this paper, we propose a definition to measure the strength of interaction among proteins with a focus on duality in terms of the convex geometry. Next, we introduce a notion of efficiency on network structures generated by proteins and estimate the asymptotic behavior of the efficiency as the number of proteins is large enough. Our results give the relationship between the effective time scales in view of dynamics and the size of networks.

Received: October 13, 2010

AMS Subject Classification: 37F20, 37A50, 60J10

Key Words and Phrases: fatgraph, convex geometry, protein-protein interactions, diffusion on networks

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2011
Volume: 67
Issue: 2