Generalized Mass-Action Systems and Positive Solutions of Polynomial Equations with Real and Symbolic Exponents

@article{Mller2014GeneralizedMS,
  title={Generalized Mass-Action Systems and Positive Solutions of Polynomial Equations with Real and Symbolic Exponents},
  author={S. M{\"u}ller and G. Regensburger},
  journal={ArXiv},
  year={2014},
  volume={abs/1406.6587}
}
  • S. Müller, G. Regensburger
  • Published 2014
  • Mathematics, Computer Science, Biology
  • ArXiv
  • Dynamical systems arising from chemical reaction networks with mass action kinetics are the subject of chemical reaction network theory (CRNT). In particular, this theory provides statements about uniqueness, existence, and stability of positive steady states for all rate constants and initial conditions. In terms of the corresponding polynomial equations, the results guarantee uniqueness and existence of positive solutions for all positive parameters. 
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