On persistence and cascade decompositions of chemical reaction networks

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dc.creatorAngeli, David
dc.creatorDe Leenheer, Patrick
dc.creatorSontag, Eduardo
dc.date2009-05-08
dc.date.accessioned2026-07-07T13:13:28Z
dc.date.available2026-07-07T13:13:28Z
dc.descriptionNew 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.
dc.description21 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0905.1332
dc.identifierhttp://arxiv.org/abs/0905.1332
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229898
dc.subjectMolecular Networks
dc.titleOn persistence and cascade decompositions of chemical reaction networks
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