TY - GEN
T1 - On persistence of chemical reaction networks with time-dependent kinetics and no global conservation laws
AU - Angeli, David
AU - De Leenheer, Patrick
AU - Sontag, Eduardo D.
PY - 2009
Y1 - 2009
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/77950854093
UR - https://www.scopus.com/pages/publications/77950854093#tab=citedBy
U2 - 10.1109/CDC.2009.5400826
DO - 10.1109/CDC.2009.5400826
M3 - Conference contribution
AN - SCOPUS:77950854093
SN - 9781424438716
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 4559
EP - 4564
BT - Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Y2 - 15 December 2009 through 18 December 2009
ER -