PERMANENCE OF SPARSE CATALYTIC NETWORKS

Authors
STADLER PF SCHUSTER P
Citation
Pf. Stadler et P. Schuster, PERMANENCE OF SPARSE CATALYTIC NETWORKS, Mathematical biosciences, 131(2), 1996, pp. 111-133
Citations number
29
Categorie Soggetti
Mathematical Methods, Biology & Medicine","Mathematics, Miscellaneous","Biology Miscellaneous
Journal title
Mathematical biosciences → ACNP
ISSN journal
00255564
Volume
131
Issue
2
Year of publication
1996
Pages
111 - 133
Database
ISI
SICI code
0025-5564(1996)131:2<111:POSCN>2.0.ZU;2-T
Abstract
Some global dynamical properties of catalytic networks, in particular permanence, are closely related with a directed graph representing the differential equation. It can be shown that for every directed graph with a Hamiltonian circuit there is a choice of rate constants such th at the system is permanent. On the other hand, one can find properties of the graphs, for example, reducibility or the presence of endpoints , that are incompatible with permanence.