Modeling and analysis of mass-action kinetics

  title={Modeling and analysis of mass-action kinetics},
  author={V. Chellaboina and S. Bhat and W. M. Haddad and D. S. Bernstein},
  journal={IEEE Control Systems},
  • V. Chellaboina, S. Bhat, +1 author D. S. Bernstein
  • Published 2009
  • Mathematics
  • IEEE Control Systems
  • Mass-action kinetics are used in chemistry and chemical engineering to describe the dynamics of systems of chemical reactions, that is, reaction networks. These models are a special form of compartmental systems, which involve mass- and energy-balance relations. Aside from their role in chemical engineering applications, mass-action kinetics have numerous analytical properties that are of inherent interest from a dynamical systems perspective. Because of physical considerations, however, mass… CONTINUE READING
    148 Citations
    Routes to Multiple Equilibria for Mass-Action Kinetic Systems
    Model analysis and parameter estimation in biochemical reaction networks
    On The Geometry of Equilibrium Solutions of Kinetic Systems Obeying the Mass Action Law
    • 1
    • PDF
    Mass conserved elementary kinetics is sufficient for the existence of a non-equilibrium steady state concentration.
    • 11
    • Highly Influenced
    • PDF


    Nonnegativity, reducibility, and semistability of mass action kinetics
    • D. S. Bernstein, S.P. Bhat
    • Mathematics
    • Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)
    • 1999
    • 49
    • PDF
    The existence and uniqueness of steady states for a class of chemical reaction networks
    • 322
    • Highly Influential
    Chemical Kinetics and Dynamics
    • I. Prigogine
    • Medicine, Physics
    • Annals of the New York Academy of Sciences
    • 2003
    • 144
    Qualitative Theory of Compartmental Systems
    • 389
    Compartmental modelling and second-moment analysis of state space systems
    • 94
    • PDF
    The chemical Langevin equation
    • 1,229
    • PDF
    A Family of Sparse Polynomial Systems Arising in Chemical Reaction Systems
    • 82
    • PDF
    Chemical reaction network structure and the stability of complex isothermal reactors—I. The deficiency zero and deficiency one theorems
    • 650
    • Highly Influential
    • PDF