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arxiv: 1606.08607 · v2 · pith:7COEW2R5new · submitted 2016-06-28 · 🧬 q-bio.MN · math.DS· physics.bio-ph· q-bio.SC

Law of localization in chemical reaction networks

classification 🧬 q-bio.MN math.DSphysics.bio-phq-bio.SC
keywords networknetworkscharacteristicchemicallocalizationpatternsresponsessensitivity
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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.

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