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[02400] A generalized structural bifurcation analysis of chemical reaction networks

  • Session Time & Room : 5D (Aug.25, 15:30-17:10) @G401
  • Type : Contributed Talk
  • Abstract : Chemical reactions link metabolites and form complex networks in living cells. We have previously developed “structural bifurcation analysis,” by which bifurcation properties of reaction systems are determined solely from network topologies. In this work, we establish a precise formalization connecting our analysis to conventional methods based on Jacobian matrices. The formalization increases applicability of the analysis, e.g. determining multistationarity, without assuming the full-rankedness of stoichiometric matrices or eliminations of equations/chemicals.
  • Classification : 34Hxx, 92Bxx, 34D10
  • Format : Talk at Waseda University
  • Author(s) :
    • Yong-Jin Huang (Division of Biological Sciences, Graduate School of Science, Kyoto University)
    • Takashi Okada (Division of Biological Sciences, Graduate School of Science, Kyoto University)
    • Atsushi Mochizuki (Institute for Life and Medical Sciences, Kyoto University)