Boundedness of trajectories for weakly reversible, single linkage class reaction systems

@inproceedings{Anderson2011BoundednessOT,
  title={Boundedness of trajectories for weakly reversible, single linkage class reaction systems},
  author={David F. Anderson},
  year={2011}
}
This paper is concerned with the dynamical properties of deterministically modeled chemical reaction systems with mass-action kinetics. Such models are ubiquitously found in chemistry, population biology, and the burgeoning field of systems biology. A basic question, whose answer remains largely unknown, is the following: for which network structures do trajectories of mass-action systems remain bounded in time? In this paper, we conjecture that the result holds when the reaction network is… CONTINUE READING
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Lectures on chemical reaction networks

  • M. Feinberg
  • Delivered at Math. Res. Cent., U. Wisc.-Mad…
  • 1979
Highly Influential
5 Excerpts

Über positive Lösungen homogener linearer Gleichungen

  • E. Stiemke
  • Mathematische Annalen 76
  • 1915
Highly Influential
2 Excerpts

Global dynamical properties of Lotka-Volterra systems

  • Y. Takeuchi
  • World Sci. Pub.
  • 1996
1 Excerpt

Dynamics of open chemical systems and the algebraic structure of the underlying reaction network

  • M. Feinberg, F.J.M. Horn
  • Chem. Eng. Sci. 29
  • 1974
1 Excerpt

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