New checkable criteria for persistence of chemical reaction networks are proposed, which extend 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). As an illustration, a hypoxia network is analyzed.
On persistence of chemical reaction networks with time-dependent kinetics and no global conservation laws / Angeli, David; De Leenheer, Patrick; Sontag, Eduardo D.. - ELETTRONICO. - (2009), pp. 4559-4564. ( IEEE Conference on Decision and Control) [10.1109/CDC.2009.5400826].
On persistence of chemical reaction networks with time-dependent kinetics and no global conservation laws
Angeli, David;
2009
Abstract
New checkable criteria for persistence of chemical reaction networks are proposed, which extend 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). As an illustration, a hypoxia network is analyzed.
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
