Generalized Mass Action Systems: Complex Balancing Equilibria and Sign Vectors of the Stoichiometric and Kinetic-Order Subspaces

@article{Mller2012GeneralizedMA,
  title={Generalized Mass Action Systems: Complex Balancing Equilibria and Sign Vectors of the Stoichiometric and Kinetic-Order Subspaces},
  author={S. M{\"u}ller and G. Regensburger},
  journal={SIAM J. Appl. Math.},
  year={2012},
  volume={72},
  pages={1926-1947}
}
  • S. Müller, G. Regensburger
  • Published 2012
  • Mathematics, Biology, Computer Science
  • SIAM J. Appl. Math.
  • Mass action systems capture chemical reaction networks in homogeneous and dilute solutions. We suggest a notion of generalized mass action systems that admits arbitrary power-law rate functions and serves as a more realistic model for reaction networks in intracellular environments. In addition to the complexes of a network and the related stoichiometric subspace, we introduce corresponding kinetic complexes, which represent the exponents in the rate functions and determine the kinetic-order… CONTINUE READING
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