2012/03/27 by Jost Neigenfind, Neigenfind, Jost, Sergio Grimbs +3
Biochemistry, Genetics and Molecular Biology · #92E10 #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #E.1 #FOS: Biological sciences #FOS: Mathematics #Gene Regulatory Network Analysis #J.2 #Microbial Metabolic Engineering and Bioproduction #Molecular Networks (q-bio.MN) #Protein Structure and Dynamics
paper · pdf · doi:10.48550/arxiv.1203.5932
openalex publication_date 2012/03/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Robustness of biochemical systems has become one of the central questions in\nsystems biology although it is notoriously difficult to formally capture its\nmultifaceted nature. Maintenance of normal system function depends not only on\nthe stoichiometry of the underlying interrelated components, but also on a\nmultitude of kinetic parameters. Invariant flux ratios, obtained within flux\ncoupling analysis, as well as invariant complex ratios, derived within chemical\nreaction network theory, can characterize robust properties of a system at\nsteady state. However, the existing formalisms for the description of these\ninvariants do not provide full characterization as they either only focus on\nthe flux-centric or the concentration-centric view. Here we develop a novel\nmathematical framework which combines both views and thereby overcomes the\nlimitations of the classical methodologies. Our unified framework will be\nhelpful in analyzing biologically important system properties.\n