Title :
Structure and stability of certain chemical networks and applications to the kinetic proofreading model of T-cell receptor signal transduction
Author :
Sontag, Eduardo D.
Author_Institution :
Dept. of Math., Rutgers Univ., New Brunswick, NJ, USA
fDate :
7/1/2001 12:00:00 AM
Abstract :
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 (1977, 1979, 1987, 1995) and Horn and Jackson (1972), 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 (1995) for T-cell receptor signal transduction
Keywords :
asymptotic stability; differential equations; feedback; matrix algebra; nonlinear systems; reaction kinetics; T-cell receptor signal transduction; chemical networks; kinetic proofreading model; Chemical analysis; Differential equations; Feedback; Immune system; Kinetic theory; Nonlinear systems; Robust stability; Signal analysis; Stability analysis; Steady-state;
Journal_Title :
Automatic Control, IEEE Transactions on