Categorical Perspectives on Chemical Reaction Networks

Justin Curry; Mauricio Montes

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arXiv · 2604.04919

Categorical Perspectives on Chemical Reaction Networks

Justin Curry·Mauricio Montes

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Abstract

We show that the Schur-complement reduction of a chemical reaction network (CRN) from Hirono et al. is the categorical complement of the stoichiometric arrow in the arrow category $[\mathbf{A}_2,\mathbf{Vect}]$. This identifies the ambient category in which topological reduction of chemical reaction networks is functorial and explains the reduced stoichiometric matrix as a universal diagrammatic construction. We further define a reconstruction functor from a restricted subcategory of $[\mathbf{A}_2, \mathbf{Vect}]$ back to CRNs and prove an adjunction with the stoichiometric functor.

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Justin Curry, Mauricio Montes. 2026-04-06. Categorical Perspectives on Chemical Reaction Networks. https://arxiv.org/abs/2604.04919

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