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This is a Quantitative Study study.

October 16, 2025Open Access

Weakly reversible deficiency zero realizations of reaction networks

NBNeal BuxtonWest Virginia University GCGheorghe CrăciunUniversity of Wisconsin–Madison ADAbhishek DeshpandeInternational Institute of Information Technology, Hyderabad

Key Points

A unique weakly reversible deficiency zero network exists for any given reaction network with the same properties.
This unique network can be realized under any choice of rate constants in the reaction's dynamics.
An algorithm is proposed to identify this specific weakly reversible deficiency zero network when it is feasible.
The findings could enhance the understanding and modeling of chemical reaction networks with defined properties.

Abstract

We prove that if a given reaction network N has a weakly reversible deficiency zero realization for all choice of rate constants, then there exists a unique weakly reversible deficiency zero network N' such that N is realizable by N'. Additionally, we propose an algorithm to find this weakly reversible deficiency zero network N' when it exists.

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