Multistationarity questions in reduced vs extended biochemical networks

2023/10/03 by Alicia Dickenstein, Magalí Giaroli, Dickenstein, Alicia +5 · 1 citation
Biochemistry, Genetics and Molecular Biology · Computer Science · #Algebraic Geometry (math.AG) #Computational Drug Discovery Methods #Dynamical Systems (math.DS) #FOS: Biological sciences #FOS: Mathematics #Gene Regulatory Network Analysis #Molecular Networks (q-bio.MN) #Protein Structure and Dynamics

paper · pdf · doi:10.48550/arxiv.2310.02455

openalex publication_date 2023/10/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We address several questions in reduced versus extended networks via the elimination or addition of intermediate complexes in the framework of chemical reaction networks with mass-action kinetics. We clarify and extend advances in the literature concerning multistationarity in this context. We establish general results about MESSI systems, which we use to compute the circuits of multistationarity for significant biochemical networks.

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