Deformed Toric Ideal Constraints on Stoichiometric Networks

Details Deformed Toric Ideal Constraints on Stoichiometric Networks Deformed Toric Ideal Constraints on Stoichiometric Networks

2012-02-23

arxiv.org/abs/1202.5092v1

Biology

Quantitative Biology

Molecular Networks

Scientific paper

We discuss chemical reaction networks and metabolic pathways based on stoichiometric network analysis, and introduce deformed toric ideal constraints by the algebraic geometrical approach. With the deformed toric ideal constraints, the shape of flux is constrained without introducing ad hoc constraints. To illustrate the effectiveness of such constraints, we discuss two examples of chemical reaction network and metabolic pathway; in the former the shape of flux is constrained completely by deformed toric ideal constraints, and in the latter, it is shown the deformed toric ideal constrains the parameters of flux at least partially.

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