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.
| Original language | English |
|---|---|
| Pages (from-to) | 125-140 |
| Number of pages | 16 |
| Journal | International Journal of Pure and Applied Mathematics |
| Volume | 67 |
| Issue number | 2 |
| Publication status | Published - 2011 Mar 11 |
| Externally published | Yes |
Keywords
- Convex geometry
- Diffusion on networks
- Fatgraph
- Protein-protein interactions
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics