聖塔非研究所

化學組織的拓樸方法

2009 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 Large chemical reaction 網絡s often exhibit distinctive features that can be interpreted as higher level structures. Prime examples are metabolic pathways in a biochemical context. We revie…

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論文資訊

  • 類型:已發表論文
  • 日期:2009

摘要

Large chemical reaction 網絡s often exhibit distinctive features that can be interpreted as higher-level structures. Prime examples are metabolic pathways in a biochemical context. We review 數學 approaches that exploit the stoichiometric structure, which can be seen as a particular directed hypergraph, to derive an algebraic picture of chemical organizations. We then give an alternative interpretation in terms of set-valued set functions that encapsulate the production rules of the individual reactions. From the 數學 point of view, these functions define generalized topological spaces on the set of chemical 物種. We show that organization-theoretic concepts also appear in a natural way in the topological 語言. This abstract representation in turn suggests the exploration of the chemical meaning of

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