Name
Title | ||
|---|---|---|
Persistence Results for Chemical Reaction Networks with Time-Dependent Kinetics and No Global Conservation Laws |
Abstract | ||
|---|---|---|
New checkable criteria for persistence of chemical reaction networks are proposed, which extend and complement existing ones. 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 network and an apoptosis network. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1137/090779401 | SIAM JOURNAL ON APPLIED MATHEMATICS |
Keywords | Field | DocType |
chemical reaction networks,persistence,Petri nets | Mathematical optimization,Petri net,Persistence (computer science),Systems biology,Reaction rate,Chemical reaction,Kinetics,Mathematics,Conservation law | Journal |
Volume | Issue | ISSN |
71 | 1 | 0036-1399 |
Citations | PageRank | References |
9 | 1.05 | 5 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| David Angeli | 1 | 1264 | 153.03 |
| patrick de leenheer | 2 | 147 | 35.83 |
| Eduardo D. Sontag | 3 | 3134 | 781.88 |