Geodesic
Stoichiometric analysis of biochemical systems on graphs. II.~Graph images of conservation relationships
Matematičeskaâ biologiâ i bioinformatika, Tome 2 (2007) no. 1, pp. 48-59.

Voir la notice de l'article provenant de la source Math-Net.Ru

Application of the graphical rules of finding of conservation relationships of kinetic equations of biochemical systems is considered. Simple hypothetic reactions were used for examples. It is shown that use of the properties of a connected directed bipartite graph for a complex reaction/metabolic network allows to reveal the substances connected by the conservation relationships and to formulate graph criteria of their existence. It is shown for open biochemical systems that graph images of conservation relationships are subgraphs of a determinate kind. These subgraphs are either simple cycles and/or complex cycles (circuit closed subgraphs), or cycles connected by bridges. 
@article{MBB_2007_2_1_a5,
     author = {G. L. Ermakov},
     title = {Stoichiometric analysis of biochemical systems on graphs. {II.~Graph} images of conservation relationships},
     journal = {Matemati\v{c}eska\^a biologi\^a i bioinformatika},
     pages = {48--59},
     publisher = {mathdoc},
     volume = {2},
     number = {1},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MBB_2007_2_1_a5/}
}
TY  - JOUR
AU  - G. L. Ermakov
TI  - Stoichiometric analysis of biochemical systems on graphs. II.~Graph images of conservation relationships
JO  - Matematičeskaâ biologiâ i bioinformatika
PY  - 2007
SP  - 48
EP  - 59
VL  - 2
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MBB_2007_2_1_a5/
LA  - ru
ID  - MBB_2007_2_1_a5
ER  - 
%0 Journal Article
%A G. L. Ermakov
%T Stoichiometric analysis of biochemical systems on graphs. II.~Graph images of conservation relationships
%J Matematičeskaâ biologiâ i bioinformatika
%D 2007
%P 48-59
%V 2
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MBB_2007_2_1_a5/
%G ru
%F MBB_2007_2_1_a5
G. L. Ermakov. Stoichiometric analysis of biochemical systems on graphs. II.~Graph images of conservation relationships. Matematičeskaâ biologiâ i bioinformatika, Tome 2 (2007) no. 1, pp. 48-59. http://geodesic.mathdoc.fr/item/MBB_2007_2_1_a5/

[1] Reder C., J. Theor. Biol., 135 (1988), 175–201 | DOI | MR

[2] Cornish-Bowden A., Hofmeyr J.-H. S., J. Theor. Biol., 216 (2002), 179–191 | DOI | MR