@article{b8b48f252dfe45dbbdd8f71e5ddb5922,
title = "Structural bifurcation analysis in chemical reaction networks",
abstract = "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.",
author = "Takashi Okada and Tsai, {Je Chiang} and Atsushi Mochizuki",
note = "Funding Information: This work was supported partly by the CREST program (Grant No. JPMJCR13W6) of the Japan Science and Technology Agency, by the iTHES Project and iTHEMS Program of RIKEN, by a Grant-in-Aid for Scientific Research on Innovative Areas, Logics of Plant Development (Grant No. 25113001), and by NCTS and MOST of Taiwan Grant No. MOST 104-2115-M-194-011-MY3. We express our sincere thanks to Gen Kurosawa and Masashi Tachikawa for their helpful discussions and comments. J.-C.T. would like to thank Prof. Baltazar D. Aguda for initiating his interest in this research topic, and Prof. Tzy-Wei Hwang and Prof. Shih-Feng Shieh for their valuable discussions. Publisher Copyright: {\textcopyright} 2018 American Physical Society.",
year = "2018",
month = jul,
day = "30",
doi = "10.1103/PhysRevE.98.012417",
language = "English",
volume = "98",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "1",
}