Law of localization in chemical reaction networks

Autor:	Okada, Takashi, Mochizuki, Atsushi
Rok vydání:	2016
Předmět:	Quantitative Biology - Molecular Networks Mathematics - Dynamical Systems Physics - Biological Physics Quantitative Biology - Subcellular Processes
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevLett.117.048101
Popis:	In living cells, chemical reactions are connected by sharing their products and substrates, and form complex networks, e.g. metabolic pathways. Here we developed a theory to predict the sensitivity, i.e. the responses of concentrations and fluxes to perturbations of enzymes, from network structure alone. Responses turn out to exhibit two characteristic patterns, $localization$ and $hierarchy$. We present a general theorem connecting sensitivity with network topology that explains these characteristic patterns. Our results imply that network topology is an origin of biological robustness. Finally, we suggest a strategy to determine real networks from experimental measurements. Comment: 18 pages 5 figures; v2: minor corrections (accepted for publication in Physical Review Letters)
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1606.08607 Zobrazit plný text záznamu View this record from Arxiv