Weakly reversible deficiency zero realizations of reaction networks

2025/02/10 by Neal Buxton, Gheorghe Crăciun, Buxton, Neal +5
Biochemistry, Genetics and Molecular Biology · Computer Science · Physics and Astronomy · #37N25 #80A30 #92C42 #92C45 #92D25 #Complex Network Analysis Techniques #Dynamical Systems (math.DS) #FOS: Biological sciences #FOS: Mathematics #Gene Regulatory Network Analysis #Molecular Networks (q-bio.MN) #Quantum Computing Algorithms and Architecture

paper · pdf · doi:10.48550/arxiv.2502.17461

openalex publication_date 2025/02/10 · openalex created_date 2025/10/15 · openalex updated_date 2026/07/28

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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