Invariant Grids: Method of Complexity Reduction in Reaction Networks

  title={Invariant Grids: Method of Complexity Reduction in Reaction Networks},
  author={Alexander N. Gorban and Iliya V. Karlin and Andrei Yu. Zinovyev},
  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… 

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