• DocumentCode
    1511345
  • 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
  • Volume
    46
  • Issue
    7
  • fYear
    2001
  • fDate
    7/1/2001 12:00:00 AM
  • Firstpage
    1028
  • Lastpage
    1047
  • 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;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.935056
  • Filename
    935056