2009/05/08 by David Angeli, Angeli, David, Patrick De Leenheer +4 · 1 citation
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #FOS: Biological sciences #Gene Regulatory Network Analysis #Microbial Metabolic Engineering and Bioproduction #Molecular Networks (q-bio.MN) #Origins and Evolution of Life #q-bio.MN
paper · pdf · doi:10.48550/arxiv.0905.1332
21 pages, 3 figures
arxiv created 2009/05/08 · openalex publication_date 2009/05/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
New checkable criteria for persistence of chemical reaction networks are proposed, which extend and complement those obtained by the authors in previous work. The new results allow the consideration of reaction rates which are time-varying, thus incorporating the effects of external signals, and also relax the assumption of existence of global conservation laws, thus allowing for inflows (production) and outflows (degradation). For time-invariant networks parameter-dependent conditions for persistence of certain classes of networks are provided. As an illustration, two networks arising in the systems biology literature are analyzed, namely a hypoxia and an apoptosis network.