On persistence and cascade decompositions of chemical reaction networks

Details On persistence and cascade decompositions of chemical reaction networks On persistence and cascade decompositions of chemical reaction networks

2009-05-08

arxiv.org/abs/0905.1332v1

Biology

Quantitative Biology

Molecular Networks

21 pages, 3 figures

Scientific paper

New checkable criteria for persistence of chemical reaction networks are proposed, which extend and complement those obtained by the authors in previous work. The new results allow the consideration of reaction rates which are time-varying, thus incorporating the effects of external signals, and also relax the assumption of existence of global conservation laws, thus allowing for inflows (production) and outflows (degradation). For time-invariant networks parameter-dependent conditions for persistence of certain classes of networks are provided. As an illustration, two networks arising in the systems biology literature are analyzed, namely a hypoxia and an apoptosis network.

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