Structural bifurcation analysis in chemical reaction networks

Takashi Okada, Je Chiang Tsai, Atsushi Mochizuki

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


In living cells, chemical reactions form complex networks. Dynamics arising from such networks are the origins of biological functions. We propose a mathematical method to analyze bifurcation behaviors of network systems using their structures alone. Specifically, a whole network is decomposed into subnetworks, and for each of them the bifurcation condition can be studied independently. Further, parameters inducing bifurcations and chemicals exhibiting bifurcations can be determined on the network. We illustrate our theory using hypothetical and real networks.

Original languageEnglish
Article number012417
JournalPhysical Review E
Issue number1
Publication statusPublished - 2018 Jul 30

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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