2025-09-11 京都大学
構造分岐解析:化学反応システムのネットワーク構造から分岐現象のふるまいを決定する。
<関連情報>
- https://www.kyoto-u.ac.jp/ja/research-news/2025-09-11
- https://www.kyoto-u.ac.jp/sites/default/files/2025-09/2509_SciRep_Okada_webj-7cee4030208c8e40070ac8bc002fc13f.pdf
- https://www.nature.com/articles/s41598-025-10688-6
ネットワークトポロジーから生化学反応系の分岐挙動を解明する Uncovering bifurcation behaviors of biochemical reaction systems from network topology
Yong-Jin Huang,Takashi Okada & Atsushi Mochizuki
Scientific Reports Published:29 July 2025
DOI:https://doi.org/10.1038/s41598-025-10688-6
Abstract
The regulation of biological functions is achieved through the modulation of biochemical reaction network dynamics. The diversity of cell states and the transitions between them have been interpreted as bifurcations in these dynamics. However, due to the complexity of networks and limited knowledge of reaction kinetics, bifurcation behaviors in biological systems remain largely underexplored. To address this, we developed a mathematical method, Structural Bifurcation Analysis (SBA), which decomposes the system into substructures and determines important aspects of bifurcation behaviors—such as substructures responsible for bifurcation conditions, bifurcation-inducing parameters, and bifurcating variables—solely from network topology. We establish a direct relationship between SBA and classical bifurcation analysis, enabling the study of systems even in the presence of conserved quantities. Additionally, we provide a step-by-step bifurcation analysis for general use. We applied our method to the macrophage M1/M2 polarization system. Our analysis reveals that the network structure strongly constrains possible patterns of polarization. We also clarify the dependency of the M1/M2 balance on gene expression levels and predict the emergence of intermediate polarization patterns under gene deletions, including SOCS3, which are experimentally testable.
