Uniqueness of weakly reversible and deficiency zero realizations of dynamical systems

DOI10.1016/j.mbs.2021.108720zbMath1483.92073arXiv2010.04316OpenAlexW3209507722MaRDI QIDQ2066477

Polly Y. Yu, Jiaxin Jin, Gheorghe Craciun

Publication date: 14 January 2022

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.04316

zbMATH Keywords

chemical reaction networkdynamical equivalencemass-action kineticscomplex balancinglinkage classdeficiency zero theoremstoichiometric subspaceinvariant polyhedronweakly reversible system

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Dynamical systems in biology (37N25) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Biochemistry, molecular biology (92C40) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Systems biology, networks (92C42) Equivalence and asymptotic equivalence of ordinary differential equations (34C41)

Related Items (2)

An Algorithm for Finding Weakly Reversible Deficiency Zero Realizations of Polynomial Dynamical Systems ⋮ Source-Only Realizations, Weakly Reversible Deficiency One Networks, and Dynamical Equivalence

Uses Software

• CRNreals

Cites Work

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• Polynomial Dynamical Systems, Reaction Networks, and Toric Differential Inclusions

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