Siphons in chemical reaction networks

Details Siphons in chemical reaction networks Siphons in chemical reaction networks

2009-04-29

arxiv.org/abs/0904.4529v2

Mathematics

Commutative Algebra

Scientific paper

Siphons in a chemical reaction system are subsets of the species that have the potential of being absent in a steady state. We present a characterization of minimal siphons in terms of primary decomposition of binomial ideals, we explore the underlying geometry, and we demonstrate the effective computation of siphons using computer algebra software. This leads to a new method for determining whether given initial concentrations allow for various boundary steady states.

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