The mutual potential of proteins and interaction networks

Ryokichi Tanaka

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)125-140
Number of pages16
JournalInternational Journal of Pure and Applied Mathematics
Issue number2
Publication statusPublished - 2011 Mar 11
Externally publishedYes


  • Convex geometry
  • Diffusion on networks
  • Fatgraph
  • Protein-protein interactions

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics


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