2000/02/14 by Eduardo D. Sontag, Eduardo D Sontag, Sontag, Eduardo D · 2 citations
Biochemistry, Genetics and Molecular Biology · Engineering · Mathematics · #34D23 #37N25 #92C40 #Advanced Control Systems Optimization #Dynamical Systems (math.DS) #FOS: Mathematics #Gene Regulatory Network Analysis #Optimization and Control (math.OC) #Receptor Mechanisms and Signaling #math.DS #math.OC #msc:34D23 #msc:37N25 #msc:92C40
paper · pdf · doi:10.48550/arxiv.math/0002113
Extended and revised version of math.DS/9912237 See http://www.math.rutgers.edu/~sontag for related materials (Update includes, among other topics, remarks on extensions to certain systems with Michaelis-Menten kinetics.)
openalex publication_date 2000/02/14 · arxiv created 2001/02/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper deals with the theory of structure, stability, robustness, and stabilization for an appealing class of nonlinear systems which arises in the analysis of chemical networks. The results given here extend, but are also heavily based upon, certain previous work by Feinberg, Horn, and Jackson, of which a self-contained and streamlined exposition is included. The theoretical conclusions are illustrated through an application to the kinetic proofreading model proposed by McKeithan for T-cell receptor signal transduction. (Update includes, among other topics, remarks on extensions to certain systems with Michaelis-Menten kinetics.)