Title :
On modularity and persistence of chemical reaction networks
Author_Institution :
Dept. of Electr. & Electron. Eng., Imperial Coll. London, London, UK
Abstract :
In this paper we exploit the notion of state machine decomposable Petri nets (SMD nets), in order to enforce persistence of chemical reaction networks described by ODEs. Persistence is, in this context, the property that all chemical species are guaranteed to be asymptotically available if present at initial time.
Keywords :
Petri nets; biochemistry; biology computing; chemical reactions; differential equations; finite state machines; molecular biophysics; biochemistry; chemical reaction network modularity; chemical reaction network persistence; chemical species; ordinary differential equation; state machine decomposable Petri net; Biochemistry; Biological system modeling; Chemical engineering; Circuits; Complex networks; Educational institutions; Machinery; Petri nets; Stochastic processes; Tin; Chemical Reaction Networks; Liveness; Modularity; Persistence; Petri Nets; Siphon;
Conference_Titel :
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location :
Cancun
Print_ISBN :
978-1-4244-3123-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2008.4738584
