Invariant Grids: Method of Complexity Reduction in Reaction Networks

@article{Gorban2004InvariantGM,
  title={Invariant Grids: Method of Complexity Reduction in Reaction Networks},
  author={A. Gorban and I. Karlin and A. Zinovyev},
  journal={Complexus},
  year={2004},
  volume={2},
  pages={110 - 127}
}
Complexity in the description of big chemical reaction networks has both structural (number of species and reactions) and temporal (very different reaction rates) aspects. A consistent way to make model reduction is to construct the invariant manifold which describes the asymptotic system behaviour. In this paper we present a discrete analog of this object: an invariant grid. The invariant grid is introduced independently from the invariant manifold notion and can serve to represent the dynamic… Expand
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